1 00:00:00,090 --> 00:00:02,490 The following content is provided under a Creative 2 00:00:02,490 --> 00:00:04,059 Commons license. 3 00:00:04,059 --> 00:00:06,330 Your support will help MIT OpenCourseWare 4 00:00:06,330 --> 00:00:10,690 continue to offer high quality educational resources for free. 5 00:00:10,690 --> 00:00:13,350 To make a donation or view additional materials 6 00:00:13,350 --> 00:00:17,290 from hundreds of MIT courses, visit MIT OpenCourseWare 7 00:00:17,290 --> 00:00:18,480 at ocw.mit.edu. 8 00:00:29,150 --> 00:00:32,479 ROBERT TOWNSEND: In terms of where we are in the class, 9 00:00:32,479 --> 00:00:34,190 it seems like we just got started, 10 00:00:34,190 --> 00:00:36,170 but it's actually the third lecture. 11 00:00:36,170 --> 00:00:38,150 So after the end of the day, we're 12 00:00:38,150 --> 00:00:40,930 almost 1/4 done with a class. 13 00:00:40,930 --> 00:00:41,430 It's scary. 14 00:00:45,540 --> 00:00:48,373 Yeah, it's bad news, not good news. 15 00:00:48,373 --> 00:00:50,040 There's another way to think about that, 16 00:00:50,040 --> 00:00:53,440 which is there's no final exam. 17 00:00:53,440 --> 00:00:55,590 There are homeworks-- they're coming-- 18 00:00:55,590 --> 00:00:57,690 and TA sessions. 19 00:00:57,690 --> 00:01:00,180 But part of the course is for you 20 00:01:00,180 --> 00:01:04,440 to write a research proposal, not a paper exactly, 21 00:01:04,440 --> 00:01:07,690 but a research proposal. 22 00:01:07,690 --> 00:01:09,540 So that kind of leads me into what 23 00:01:09,540 --> 00:01:18,270 we're up to today and some sort of encouragement and caution. 24 00:01:18,270 --> 00:01:22,440 We are trying to do several things at once. 25 00:01:22,440 --> 00:01:25,650 One, of course, is to look at particular papers 26 00:01:25,650 --> 00:01:29,940 in the literature as exemplary of what is out there. 27 00:01:29,940 --> 00:01:34,320 And actually, there, it matters to get into the details 28 00:01:34,320 --> 00:01:36,170 and really understand the mechanics 29 00:01:36,170 --> 00:01:37,560 and a few of the surprises. 30 00:01:37,560 --> 00:01:40,110 Some things are not straightforward. 31 00:01:40,110 --> 00:01:44,220 And even narrowly, it will raise questions about what 32 00:01:44,220 --> 00:01:46,290 if they had assumed this instead of that, 33 00:01:46,290 --> 00:01:48,840 or is there some extension to this model, 34 00:01:48,840 --> 00:01:50,730 or there's something I just really dislike 35 00:01:50,730 --> 00:01:52,147 about this model? 36 00:01:52,147 --> 00:01:52,980 You'll get inspired. 37 00:01:55,877 --> 00:01:56,710 So we're doing that. 38 00:01:56,710 --> 00:02:01,060 But I'm also trying to provide overviews 39 00:02:01,060 --> 00:02:04,330 so you can actually see where these particular trees fall 40 00:02:04,330 --> 00:02:05,890 in the forest. 41 00:02:05,890 --> 00:02:09,110 And I'm not saying it's easy. 42 00:02:09,110 --> 00:02:11,200 It's not easy for me. 43 00:02:11,200 --> 00:02:14,860 And I, for example, spent the weekend just thinking 44 00:02:14,860 --> 00:02:19,390 about lecture one, lecture two, and lecture three, 45 00:02:19,390 --> 00:02:22,900 sort of of writing up English paragraphs about what 46 00:02:22,900 --> 00:02:26,300 are these papers really telling us and so on. 47 00:02:26,300 --> 00:02:29,680 So my point is be patient with yourself. 48 00:02:29,680 --> 00:02:31,630 Don't be surprised if occasionally it's 49 00:02:31,630 --> 00:02:35,170 a bit bewildering because we are covering a lot of material. 50 00:02:35,170 --> 00:02:38,680 But the reward will come when you're thinking. 51 00:02:38,680 --> 00:02:41,320 Go back over the lectures, think about the details 52 00:02:41,320 --> 00:02:42,890 of particular papers. 53 00:02:42,890 --> 00:02:44,560 Maybe think about it in the context 54 00:02:44,560 --> 00:02:47,170 of your potential research proposal, 55 00:02:47,170 --> 00:02:49,330 in terms of what you might like to do, 56 00:02:49,330 --> 00:02:51,625 and I think you'll see things start coming together. 57 00:02:54,450 --> 00:02:55,305 Yo. 58 00:02:55,305 --> 00:02:56,805 AUDIENCE: Can you talk a little more 59 00:02:56,805 --> 00:02:59,760 about the logistics of the proposal? 60 00:02:59,760 --> 00:03:03,190 So one thing is I was supposed to talk to you before. 61 00:03:03,190 --> 00:03:05,100 ROBERT TOWNSEND: That would be good, yeah. 62 00:03:05,100 --> 00:03:06,490 As I said, I'm usually around. 63 00:03:06,490 --> 00:03:08,710 I try to stay around after class. 64 00:03:08,710 --> 00:03:10,990 I'm happy to iterate. 65 00:03:10,990 --> 00:03:12,760 It's like a research conversation. 66 00:03:12,760 --> 00:03:13,870 You're thinking about x. 67 00:03:13,870 --> 00:03:16,690 You can get my reaction to it, get Whit's reaction to. 68 00:03:16,690 --> 00:03:19,696 It 69 00:03:19,696 --> 00:03:25,960 AUDIENCE: And how far can we go from this, from the macro 70 00:03:25,960 --> 00:03:28,330 development into something else? 71 00:03:28,330 --> 00:03:30,896 It has to be something that's-- 72 00:03:30,896 --> 00:03:34,110 [INTERPOSING VOICES] 73 00:03:34,110 --> 00:03:37,030 ROBERT TOWNSEND: We should talk. 74 00:03:37,030 --> 00:03:40,942 I'm not sure what you're asking me. 75 00:03:40,942 --> 00:03:43,750 AUDIENCE: If I am doing something that's more 76 00:03:43,750 --> 00:03:45,560 micro-related, would that be-- 77 00:03:45,560 --> 00:03:49,000 ROBERT TOWNSEND: Oh, there's a whole micro part of the class. 78 00:03:49,000 --> 00:03:50,500 We just haven't gotten there yet. 79 00:03:50,500 --> 00:03:52,090 There's, like, two lectures away, we 80 00:03:52,090 --> 00:03:54,280 go through a whole measurement lecture. 81 00:03:54,280 --> 00:03:56,770 And then we spend almost the rest 82 00:03:56,770 --> 00:04:00,340 of the class talking about micro tests of this and that. 83 00:04:00,340 --> 00:04:03,010 And then we reintegrate it and get sort of 84 00:04:03,010 --> 00:04:04,450 moved back toward the macro. 85 00:04:04,450 --> 00:04:07,090 Sometimes I teach the micro first, 86 00:04:07,090 --> 00:04:09,220 waiting forever to get to the macro part. 87 00:04:09,220 --> 00:04:12,230 This time we kind of reversed it the other way. 88 00:04:12,230 --> 00:04:14,566 So micro is fine. 89 00:04:14,566 --> 00:04:16,566 AUDIENCE: And just in terms of timing, I forgot. 90 00:04:16,566 --> 00:04:18,422 When is the proposal due? 91 00:04:18,422 --> 00:04:20,769 Is it at the end of your part, or-- 92 00:04:20,769 --> 00:04:23,590 ROBERT TOWNSEND: The end of my part, yeah. 93 00:04:23,590 --> 00:04:26,940 And we reserve the last class, and I can make it longer. 94 00:04:26,940 --> 00:04:29,050 As many of you as possible should 95 00:04:29,050 --> 00:04:33,250 think about actually presenting and getting some practice 96 00:04:33,250 --> 00:04:34,680 at presenting your ideas. 97 00:04:37,690 --> 00:04:38,500 OK. 98 00:04:38,500 --> 00:04:41,800 So today is mostly, almost all of it, 99 00:04:41,800 --> 00:04:45,790 about limited commitment in terms of obstacles to trade. 100 00:04:45,790 --> 00:04:50,170 And I'll try to highlight where that's coming up. 101 00:04:50,170 --> 00:04:54,630 The topic, is of course, macro-ish, growth, TFP, 102 00:04:54,630 --> 00:04:56,860 inequality. 103 00:04:56,860 --> 00:04:59,400 But it has these financial market imperfections. 104 00:04:59,400 --> 00:05:01,525 And of course, that's the bridge back to the micro. 105 00:05:04,270 --> 00:05:07,180 And the introductory part of this, 106 00:05:07,180 --> 00:05:11,260 where I'm doing the big picture, the forest, 107 00:05:11,260 --> 00:05:15,940 is broken down into three segments, one of which 108 00:05:15,940 --> 00:05:17,980 is highlighted, here but I should tell you 109 00:05:17,980 --> 00:05:18,850 about the other two. 110 00:05:18,850 --> 00:05:21,220 First of all, we're going to start 111 00:05:21,220 --> 00:05:23,590 talking about transitions. 112 00:05:23,590 --> 00:05:26,800 I was doing that last time. 113 00:05:26,800 --> 00:05:30,150 Some of this literature is all about transitions 114 00:05:30,150 --> 00:05:33,055 and about financial reforms or real sector reforms. 115 00:05:36,110 --> 00:05:41,050 There is a second part of this introductory section which is 116 00:05:41,050 --> 00:05:42,970 entirely about cross-section. 117 00:05:42,970 --> 00:05:47,260 It's comparing one country to another, and most of that 118 00:05:47,260 --> 00:05:49,110 is in steady state. 119 00:05:51,710 --> 00:05:56,870 And finally, there is the link between the two, which 120 00:05:56,870 --> 00:06:00,710 is how much of transitional dynamics 121 00:06:00,710 --> 00:06:03,950 is really going to solve the entire problem, 122 00:06:03,950 --> 00:06:06,750 and can you save your way out of constraints 123 00:06:06,750 --> 00:06:09,620 so that steady states look very different from the transitions, 124 00:06:09,620 --> 00:06:12,140 or is there something left over. 125 00:06:15,600 --> 00:06:21,590 So you start off with what's in the news all the time, rightly 126 00:06:21,590 --> 00:06:23,450 so, which is China. 127 00:06:26,980 --> 00:06:29,634 And this paper is called Growing Like China. 128 00:06:32,600 --> 00:06:36,360 And the question starts with a puzzle. 129 00:06:36,360 --> 00:06:40,310 How can it be that a country with measured high rates 130 00:06:40,310 --> 00:06:47,030 of return is nevertheless kind sending its funds abroad 131 00:06:47,030 --> 00:06:49,355 for investing in low rate of return assets? 132 00:06:53,540 --> 00:06:57,980 And China's in the news for many reasons, 133 00:06:57,980 --> 00:07:00,500 but among other things, it's just really 134 00:07:00,500 --> 00:07:04,040 almost the fastest growth rate in the world, 135 00:07:04,040 --> 00:07:06,860 and there's lots of structural shifts going 136 00:07:06,860 --> 00:07:13,480 on in terms of sectors and a lot of privatization. 137 00:07:13,480 --> 00:07:17,180 We have return investments above 20%. 138 00:07:17,180 --> 00:07:20,910 Savings rates have been even higher than that. 139 00:07:20,910 --> 00:07:26,840 And China's accumulating-- its savings well exceeds its demand 140 00:07:26,840 --> 00:07:30,590 for credit, and its foreign reserves 141 00:07:30,590 --> 00:07:34,950 have to go to trillions or something, 142 00:07:34,950 --> 00:07:43,750 from $21 billion to $2,130,000,000 and so on. 143 00:07:43,750 --> 00:07:44,880 So here is another picture. 144 00:07:44,880 --> 00:07:49,230 This is those numbers. 145 00:07:49,230 --> 00:07:51,240 This is foreign reserves and the difference 146 00:07:51,240 --> 00:07:53,850 between deposits and loans. 147 00:07:53,850 --> 00:07:56,590 And not only is the difference between deposits and loans 148 00:07:56,590 --> 00:07:59,910 high, it keeps getting bigger and bigger, 149 00:07:59,910 --> 00:08:03,550 as do the foreign reserves as a percent of GDP. 150 00:08:07,270 --> 00:08:08,890 You probably know this history. 151 00:08:11,590 --> 00:08:16,430 There was talks of reforms way back in 1978. 152 00:08:16,430 --> 00:08:20,380 A lot of people date the real turn in 1992, 153 00:08:20,380 --> 00:08:24,100 although additional things happened in 1997. 154 00:08:24,100 --> 00:08:27,520 Just to look ahead a bit, the next paper 155 00:08:27,520 --> 00:08:34,500 we're going to talk about is where Kaboski Shin, 156 00:08:34,500 --> 00:08:39,000 and they look at reforms across a bunch of countries. 157 00:08:39,000 --> 00:08:42,360 And they used this 1992 date. 158 00:08:42,360 --> 00:08:44,340 But I think for any particular country, 159 00:08:44,340 --> 00:08:46,470 it's kind of problematic to pick one year 160 00:08:46,470 --> 00:08:48,525 and say this is the year of the reform. 161 00:08:53,720 --> 00:08:55,190 Very high investment rates. 162 00:08:55,190 --> 00:08:57,620 39% of GDP. 163 00:08:57,620 --> 00:09:01,525 Rate of return on capital, at most, has fallen. 164 00:09:01,525 --> 00:09:02,025 To 21%. 165 00:09:04,590 --> 00:09:10,350 Rate of return on capital in manufacturing is close to 35%. 166 00:09:10,350 --> 00:09:12,780 Money should be flowing in there, not flowing out. 167 00:09:20,730 --> 00:09:27,030 This is DPTE, I think, is developing private enterprise 168 00:09:27,030 --> 00:09:29,760 as opposed to state-owned enterprise. 169 00:09:29,760 --> 00:09:34,770 And here you can see early on, in 1992, 170 00:09:34,770 --> 00:09:38,520 the private sector was employing relatively few workers. 171 00:09:38,520 --> 00:09:42,310 But this has been increasing so that-- 172 00:09:42,310 --> 00:09:45,810 I guess this graph's ending in 2006. 173 00:09:45,810 --> 00:09:49,129 Private sector is now like 50% of employment. 174 00:09:56,620 --> 00:10:01,930 And here is the picture of the share of investment. 175 00:10:01,930 --> 00:10:04,200 And this is a big part of the story financed 176 00:10:04,200 --> 00:10:09,180 by bank loans, distinguishing state-owned enterprise 177 00:10:09,180 --> 00:10:13,740 from basically these developing private enterprise. 178 00:10:13,740 --> 00:10:17,610 So the point is, the money from the banks 179 00:10:17,610 --> 00:10:24,190 is going into these state-owned, state-operated manufacturing 180 00:10:24,190 --> 00:10:25,330 and other enterprises. 181 00:10:25,330 --> 00:10:29,620 They're getting something like 35%, if not 40% of their money 182 00:10:29,620 --> 00:10:35,200 not from internal finance, but externally through these banks. 183 00:10:35,200 --> 00:10:37,720 And the opposite is true. 184 00:10:37,720 --> 00:10:39,340 At best, this is now 10%. 185 00:10:39,340 --> 00:10:41,460 It used to be, like, 5%. 186 00:10:41,460 --> 00:10:46,740 So the private sector is financing itself 187 00:10:46,740 --> 00:10:51,860 with saving and internal investment. 188 00:10:56,500 --> 00:10:59,710 So what's the story here? 189 00:10:59,710 --> 00:11:02,860 It's going to be a story of reforms, 190 00:11:02,860 --> 00:11:08,380 and then this shrinking, inefficient, state-operated 191 00:11:08,380 --> 00:11:14,020 sector releasing labor into the rest of the economy. 192 00:11:17,290 --> 00:11:19,120 And in fact, what's going on here 193 00:11:19,120 --> 00:11:22,810 is even though in principle, the production functions have 194 00:11:22,810 --> 00:11:27,130 diminishing returns, you don't suffer from diminishing returns 195 00:11:27,130 --> 00:11:30,220 for a long time because you can get 196 00:11:30,220 --> 00:11:33,640 all this quote, unquote labor that's being released 197 00:11:33,640 --> 00:11:35,470 by the other sector. 198 00:11:35,470 --> 00:11:38,440 In some sense we saw this already with the Thai model 199 00:11:38,440 --> 00:11:43,120 last time, where we had labor and agriculture 200 00:11:43,120 --> 00:11:46,330 at subsistence wages being able to flow 201 00:11:46,330 --> 00:11:48,100 toward these entrepreneurs. 202 00:11:48,100 --> 00:11:49,360 That's kind of happening here. 203 00:11:49,360 --> 00:11:51,700 It's not out of agriculture, it's 204 00:11:51,700 --> 00:11:54,650 out of government, enterprise. 205 00:11:54,650 --> 00:11:58,690 And there are some very related seminal pieces. 206 00:11:58,690 --> 00:12:04,240 Arthur Lewis, one of the pioneers of development 207 00:12:04,240 --> 00:12:07,660 economics, and more recently, Jaume Ventura, 208 00:12:07,660 --> 00:12:12,730 have talked about how you can prevent diminishing returns 209 00:12:12,730 --> 00:12:13,660 from kicking in. 210 00:12:18,960 --> 00:12:20,640 This is their view of the literature. 211 00:12:20,640 --> 00:12:22,590 I'm going to skip it. 212 00:12:22,590 --> 00:12:26,580 You can look at these slides later. 213 00:12:26,580 --> 00:12:29,730 Authors kind of have different views 214 00:12:29,730 --> 00:12:31,590 of what they do relative to the literature 215 00:12:31,590 --> 00:12:34,240 than the literature has about what these guys are doing. 216 00:12:34,240 --> 00:12:35,382 Yes. 217 00:12:35,382 --> 00:12:37,480 AUDIENCE: In China is there evidence 218 00:12:37,480 --> 00:12:51,505 of in the time series of like convergence in [INAUDIBLE] 219 00:12:51,505 --> 00:12:52,880 ROBERT TOWNSEND: I don't remember 220 00:12:52,880 --> 00:12:55,400 the panel aspect of that. 221 00:12:55,400 --> 00:12:59,090 I mean, there is kind of an average going 222 00:12:59,090 --> 00:13:01,550 on here between these inefficient state-owned 223 00:13:01,550 --> 00:13:03,620 enterprises and the private sector ones. 224 00:13:03,620 --> 00:13:06,320 And they go to an extreme that the return 225 00:13:06,320 --> 00:13:09,230 in the private sector is basically constant. 226 00:13:09,230 --> 00:13:14,930 If the aggregate's rising, it's because you're shifting 227 00:13:14,930 --> 00:13:17,740 more and more toward these-- 228 00:13:17,740 --> 00:13:18,350 yes. 229 00:13:18,350 --> 00:13:20,892 AUDIENCE: I'm not sure that I understood exactly the argument 230 00:13:20,892 --> 00:13:22,800 they were [INAUDIBLE]. 231 00:13:22,800 --> 00:13:27,210 So was the idea that if I were a local investor in China, 232 00:13:27,210 --> 00:13:29,060 I want to invest in the private sector, 233 00:13:29,060 --> 00:13:31,490 but I wouldn't be able to because that money that 234 00:13:31,490 --> 00:13:33,485 goes into the financial sector China 235 00:13:33,485 --> 00:13:35,110 is funneled to state-owned enterprises? 236 00:13:35,110 --> 00:13:36,027 ROBERT TOWNSEND: Yeah. 237 00:13:38,240 --> 00:13:40,670 It's not modeled deeply, but the idea 238 00:13:40,670 --> 00:13:43,970 is there's constraints on the borrowers. 239 00:13:43,970 --> 00:13:47,120 The private enterprise sector would 240 00:13:47,120 --> 00:13:50,540 like to borrow because the rate of return is really high, 241 00:13:50,540 --> 00:13:52,380 and they would make more money. 242 00:13:52,380 --> 00:13:54,920 But there is a simple, basically constraint 243 00:13:54,920 --> 00:13:57,140 on the amount they're able to borrow. 244 00:13:57,140 --> 00:14:00,830 So this is the limited commitment/collateral 245 00:14:00,830 --> 00:14:02,310 constraint. 246 00:14:02,310 --> 00:14:03,380 And that's the break. 247 00:14:03,380 --> 00:14:06,080 That's the key thing that's preventing the money 248 00:14:06,080 --> 00:14:09,440 from flowing, so they can't flow from one sector to the other. 249 00:14:09,440 --> 00:14:14,540 It flows out because the country overall is getting wealthier. 250 00:14:17,400 --> 00:14:19,410 OK. 251 00:14:19,410 --> 00:14:21,510 But this is one of the papers where 252 00:14:21,510 --> 00:14:26,160 we're going to go and study the tree in some detail. 253 00:14:26,160 --> 00:14:29,865 And it's trickier than then this English might imply. 254 00:14:39,900 --> 00:14:41,210 So this is the Buera Shin. 255 00:14:41,210 --> 00:14:44,270 Sorry, this one doesn't have Kaboski. 256 00:14:44,270 --> 00:14:47,030 As the co-author, unlike what I said. 257 00:14:47,030 --> 00:14:49,520 This is called Financial Frictions and the Persistence 258 00:14:49,520 --> 00:14:53,030 of History, A Quantitative Explanation 259 00:14:53,030 --> 00:14:57,050 so you know a lot of people beyond China 260 00:14:57,050 --> 00:15:03,800 have remarked on how successful Asian economies have been 261 00:15:03,800 --> 00:15:06,590 postwar for Japan and so on. 262 00:15:06,590 --> 00:15:10,040 And so they're going to study the so-called Asian miracle 263 00:15:10,040 --> 00:15:15,600 economies, and they're going to date the reforms. 264 00:15:19,230 --> 00:15:22,860 And what their paper is about is basically 265 00:15:22,860 --> 00:15:25,590 if something had been kind of a roadblock, 266 00:15:25,590 --> 00:15:28,710 and you remove the roadblock, then these economies 267 00:15:28,710 --> 00:15:31,190 might look like solo economies. 268 00:15:31,190 --> 00:15:37,580 And we'd expect a very rapid convergence 269 00:15:37,580 --> 00:15:39,930 as capital increases. 270 00:15:39,930 --> 00:15:43,530 But in fact, when you calibrate these miracle economies the way 271 00:15:43,530 --> 00:15:47,640 you would a solo model at reasonable parameter values, 272 00:15:47,640 --> 00:15:51,240 although they're growing remarkably over 20-, 273 00:15:51,240 --> 00:15:54,330 30-year periods, their growth rates are lower than you would 274 00:15:54,330 --> 00:15:59,010 predict and convergence is slower than what a simple solo 275 00:15:59,010 --> 00:16:00,000 model would predict. 276 00:16:02,775 --> 00:16:04,400 So they're going to do this experiment. 277 00:16:04,400 --> 00:16:08,900 Now the thing, again, that's going to be the key element 278 00:16:08,900 --> 00:16:13,440 here is something like a collateral constraint. 279 00:16:13,440 --> 00:16:16,440 So you have all this churning and reallocation going on, 280 00:16:16,440 --> 00:16:20,290 but it can't happen right away. 281 00:16:20,290 --> 00:16:29,550 In fact, investment rates rise, total productivity rises. 282 00:16:29,550 --> 00:16:32,910 But it takes quite awhile. 283 00:16:35,520 --> 00:16:38,190 What countries are we talking about? 284 00:16:38,190 --> 00:16:42,330 Japan, Korea-- that's South Korea, by the way-- 285 00:16:42,330 --> 00:16:47,100 Malaysia, Singapore, Taiwan, Thailand. 286 00:16:47,100 --> 00:16:50,720 Apologies for listing Taiwan separately from China. 287 00:16:50,720 --> 00:16:54,210 I'm not going to get into big diplomatic issues here. 288 00:16:59,540 --> 00:17:01,070 And this I already said. 289 00:17:01,070 --> 00:17:03,500 If you want to know something about the parameters they 290 00:17:03,500 --> 00:17:05,888 stick in, you can look at it. 291 00:17:05,888 --> 00:17:07,430 But here are some beautiful pictures. 292 00:17:07,430 --> 00:17:17,200 So we have, say, per worker, GDP relative to the US, 293 00:17:17,200 --> 00:17:21,640 this one is US worker productivity, 294 00:17:21,640 --> 00:17:27,470 and it's GDP divided by workers. 295 00:17:27,470 --> 00:17:31,640 And you can begin to see the labels of the countries here. 296 00:17:31,640 --> 00:17:34,230 This is the dating of the reform. 297 00:17:34,230 --> 00:17:35,900 Talk about 1992 for China. 298 00:17:35,900 --> 00:17:41,000 Each country, they-- heroically, I'm sorry, confess. 299 00:17:41,000 --> 00:17:43,738 I mean, if you read the history of Korea or Taiwan 300 00:17:43,738 --> 00:17:46,280 or whatever, it's really, really hard to come up with a date, 301 00:17:46,280 --> 00:17:47,120 but they did. 302 00:17:52,530 --> 00:17:53,700 Thailand is in here. 303 00:17:53,700 --> 00:17:57,780 That's cool because we can compare it to other papers 304 00:17:57,780 --> 00:17:58,450 and so on. 305 00:17:58,450 --> 00:17:59,010 Japan. 306 00:17:59,010 --> 00:18:00,390 Singapore. 307 00:18:00,390 --> 00:18:01,960 That's per worker GDP. 308 00:18:01,960 --> 00:18:03,240 This is the investment out. 309 00:18:03,240 --> 00:18:06,240 Oh, this black line is kind of the unweighted average 310 00:18:06,240 --> 00:18:09,680 over all these countries. 311 00:18:09,680 --> 00:18:11,850 TFP. 312 00:18:11,850 --> 00:18:18,570 And private credit relative, again, to the US. 313 00:18:18,570 --> 00:18:22,740 By the way, this is that Thai credit boom 314 00:18:22,740 --> 00:18:24,360 we talked about last time. 315 00:18:24,360 --> 00:18:24,975 Yes. 316 00:18:24,975 --> 00:18:27,890 AUDIENCE: How important is the assignment of the zero date 317 00:18:27,890 --> 00:18:29,040 here? 318 00:18:29,040 --> 00:18:30,900 ROBERT TOWNSEND: They do not report. 319 00:18:30,900 --> 00:18:34,650 Presumably they played around. 320 00:18:34,650 --> 00:18:36,660 I hope they didn't cook it. 321 00:18:36,660 --> 00:18:38,010 I doubt they did. 322 00:18:38,010 --> 00:18:39,598 I know them quite well. 323 00:18:39,598 --> 00:18:43,020 AUDIENCE: [INAUDIBLE] And it's just like in the series here. 324 00:18:43,020 --> 00:18:47,950 It looks like if you do the plus or minus two or three years, 325 00:18:47,950 --> 00:18:49,890 you still get similar breaks. 326 00:18:49,890 --> 00:18:52,360 Maybe not plus two. 327 00:18:52,360 --> 00:18:55,230 ROBERT TOWNSEND: Well, you kind of hope that-- 328 00:18:55,230 --> 00:18:58,590 I mean, that kind of comes with the fact that things are slow. 329 00:18:58,590 --> 00:19:02,370 Even if you believe that it's a radical reform, the way they 330 00:19:02,370 --> 00:19:05,020 construct their model economy, it will happen slowly. 331 00:19:05,020 --> 00:19:09,880 So if you're off by a couple of years in your dating, 332 00:19:09,880 --> 00:19:11,310 I don't know. 333 00:19:11,310 --> 00:19:13,620 There's hardly anything here that really jumps. 334 00:19:13,620 --> 00:19:14,710 That's what you're saying. 335 00:19:14,710 --> 00:19:16,572 If you look at that line. 336 00:19:16,572 --> 00:19:18,030 For none of the countries is there, 337 00:19:18,030 --> 00:19:21,690 like, something popping up. 338 00:19:21,690 --> 00:19:23,190 There's a slide with interest rates. 339 00:19:23,190 --> 00:19:24,930 I didn't quite understand those. 340 00:19:24,930 --> 00:19:26,460 But that could just be the reforms 341 00:19:26,460 --> 00:19:28,780 because interest rates are-- 342 00:19:28,780 --> 00:19:34,020 however, that said, ironically, their focus 343 00:19:34,020 --> 00:19:42,420 is on subsidies and taxes distorting the economy. 344 00:19:42,420 --> 00:19:46,380 And then the reform is elimination of those wedges, 345 00:19:46,380 --> 00:19:50,750 but they leave the financial sector intact. 346 00:19:50,750 --> 00:19:53,350 So forget what I said about the interest rate picture. 347 00:19:56,870 --> 00:20:02,110 So here are these same, or related variables, GDP, TFP, 348 00:20:02,110 --> 00:20:04,250 investment rates, and so on. 349 00:20:04,250 --> 00:20:06,250 Now keep an eye. 350 00:20:06,250 --> 00:20:07,525 The black lines are-- 351 00:20:11,820 --> 00:20:18,250 the light gray line is the actual data. 352 00:20:18,250 --> 00:20:21,390 So this is what we're trying to get at. 353 00:20:21,390 --> 00:20:26,300 I think that's an average over the countries. 354 00:20:26,300 --> 00:20:29,730 And here's this interest rate one that I don't understand. 355 00:20:29,730 --> 00:20:35,220 But anyway-- oh, and then there's two other lines here. 356 00:20:35,220 --> 00:20:40,530 The dotted one is where you basically 357 00:20:40,530 --> 00:20:44,880 eliminate the financing constraint in their model. 358 00:20:44,880 --> 00:20:48,420 And the lambda they use, largely, this 1.35, 359 00:20:48,420 --> 00:20:50,800 is the black line. 360 00:20:50,800 --> 00:20:53,760 So what they're claiming, and you 361 00:20:53,760 --> 00:20:56,230 can decide whether you believe it or not, 362 00:20:56,230 --> 00:21:05,130 is that largely the data are close to the black line 363 00:21:05,130 --> 00:21:07,890 and pretty far away from the dotted line 364 00:21:07,890 --> 00:21:16,830 so that the financial frictions really help in the explanation. 365 00:21:16,830 --> 00:21:20,310 So I'm frowning when I'm looking at this. 366 00:21:20,310 --> 00:21:24,650 And then you should be inspired because this is a famous paper, 367 00:21:24,650 --> 00:21:26,720 I think rightly so. 368 00:21:26,720 --> 00:21:27,830 And they're candid. 369 00:21:27,830 --> 00:21:28,850 Look at the data. 370 00:21:28,850 --> 00:21:31,310 It's like I showed you my Thai data. 371 00:21:31,310 --> 00:21:33,560 I mean, it's not like they're hitting a home 372 00:21:33,560 --> 00:21:36,360 run on all these variables. 373 00:21:36,360 --> 00:21:41,468 Some of them look pretty far away from either prediction. 374 00:21:44,100 --> 00:21:48,240 But again, I think they want you to see the other end of it, 375 00:21:48,240 --> 00:21:51,330 that the transitions at the dotted line 376 00:21:51,330 --> 00:21:56,370 are just much faster than sometimes even in their model, 377 00:21:56,370 --> 00:21:58,240 but certainly, then, in the data. 378 00:21:58,240 --> 00:22:03,612 That's the point of the paper is how to slow down the growth. 379 00:22:03,612 --> 00:22:06,020 AUDIENCE: [INAUDIBLE] So what you're saying 380 00:22:06,020 --> 00:22:10,000 is that the lambda, 1.35, is what they use? 381 00:22:10,000 --> 00:22:11,930 So they basically say that the reforms 382 00:22:11,930 --> 00:22:14,270 don't eliminate everything. 383 00:22:14,270 --> 00:22:16,183 So there's still a lot of-- 384 00:22:16,183 --> 00:22:17,100 ROBERT TOWNSEND: Yeah. 385 00:22:17,100 --> 00:22:22,580 So the idea is you've got these lazy, untalented, rich firms 386 00:22:22,580 --> 00:22:26,180 that are overfunded because they're getting a subsidy. 387 00:22:26,180 --> 00:22:30,350 And you've got these lean, high productivity, private sector 388 00:22:30,350 --> 00:22:31,700 firms-- 389 00:22:31,700 --> 00:22:36,680 not state versus private, but in this case, private with talent 390 00:22:36,680 --> 00:22:38,810 and private without talent. 391 00:22:38,810 --> 00:22:43,850 And then you kind of eliminate the subsidies end 392 00:22:43,850 --> 00:22:45,680 and the taxes. 393 00:22:45,680 --> 00:22:50,330 And resources would like to flow to the high productivity firms, 394 00:22:50,330 --> 00:22:52,820 but it doesn't happen right away because you 395 00:22:52,820 --> 00:22:55,370 jam into these financing constraints. 396 00:22:55,370 --> 00:22:57,830 So it takes a long time. 397 00:22:57,830 --> 00:23:04,100 Now their model is going to have forward-looking entrepreneurs. 398 00:23:04,100 --> 00:23:08,600 So these guys who are talented but constrained, 399 00:23:08,600 --> 00:23:10,670 now not suffering from taxes or something, 400 00:23:10,670 --> 00:23:13,970 they're going to be saving at high rates 401 00:23:13,970 --> 00:23:17,300 to try to overcome the financing constraints. 402 00:23:17,300 --> 00:23:19,460 And eventually that kicks in, but it takes time 403 00:23:19,460 --> 00:23:22,970 to accumulate capital sufficiently high value 404 00:23:22,970 --> 00:23:26,930 to be able to collateralized it to borrow some multiple and so 405 00:23:26,930 --> 00:23:28,962 on. 406 00:23:28,962 --> 00:23:31,763 AUDIENCE: How do they [INAUDIBLE]?? 407 00:23:31,763 --> 00:23:33,430 ROBERT TOWNSEND: They're using something 408 00:23:33,430 --> 00:23:37,630 like the initial external finance ratio credit 409 00:23:37,630 --> 00:23:39,730 to GDP, which varies across country. 410 00:23:39,730 --> 00:23:41,280 Yeah, so it's not-- 411 00:23:41,280 --> 00:23:42,280 I don't know which land. 412 00:23:42,280 --> 00:23:43,780 Maybe that was a particular country, 413 00:23:43,780 --> 00:23:45,490 and I didn't pay enough attention 414 00:23:45,490 --> 00:23:47,410 when I grabbed their slide. 415 00:23:47,410 --> 00:23:50,030 But it's different, certainly, for different countries. 416 00:23:56,420 --> 00:23:58,610 And then they make a point about these companies 417 00:23:58,610 --> 00:24:02,990 hiring more and more workers and getting bigger and bigger. 418 00:24:02,990 --> 00:24:07,200 And there's something about factory employment 419 00:24:07,200 --> 00:24:10,650 you might want to take a look at. 420 00:24:10,650 --> 00:24:14,130 I'm not sure which data set I grabbed that from. 421 00:24:14,130 --> 00:24:16,110 So the model we've kind of talked 422 00:24:16,110 --> 00:24:23,350 about how they pick parameters. 423 00:24:26,720 --> 00:24:28,310 Last lecture I was kind of making 424 00:24:28,310 --> 00:24:32,310 a big deal about estimating parameters from micro data. 425 00:24:32,310 --> 00:24:36,080 This is more in the macro tradition, where they're 426 00:24:36,080 --> 00:24:38,570 calibrating parameters or initial conditions the way 427 00:24:38,570 --> 00:24:40,580 we were just discussing. 428 00:24:59,502 --> 00:25:00,460 So we've said all this. 429 00:25:08,430 --> 00:25:14,140 There is one exercise they do at the end, where they basically 430 00:25:14,140 --> 00:25:17,650 liberalize the financial sector, not just get rid 431 00:25:17,650 --> 00:25:21,700 of all the taxes and subsidies. 432 00:25:21,700 --> 00:25:23,020 Their language is a bit tricky. 433 00:25:23,020 --> 00:25:25,870 I read it three or four times until I finally understood 434 00:25:25,870 --> 00:25:27,280 what they were saying. 435 00:25:27,280 --> 00:25:31,100 They actually said that helps slow things down. 436 00:25:31,100 --> 00:25:34,040 Now what they really meant is the target 437 00:25:34,040 --> 00:25:35,810 is better than it was before, and it's 438 00:25:35,810 --> 00:25:37,370 going to take a little longer to get 439 00:25:37,370 --> 00:25:42,690 there because the steady state is quote, better. 440 00:25:42,690 --> 00:25:51,170 But in any event, I'm not going to focus. 441 00:25:51,170 --> 00:25:54,830 This is practically the last slide from them, 442 00:25:54,830 --> 00:25:58,180 but you do need to face choices about what reforms 443 00:25:58,180 --> 00:26:02,260 you're looking at in a given economy. 444 00:26:02,260 --> 00:26:05,560 And what I didn't say last time, and this 445 00:26:05,560 --> 00:26:07,630 could have been in the other lecture, 446 00:26:07,630 --> 00:26:12,090 is that if you look at, in this case, Thailand, 447 00:26:12,090 --> 00:26:17,610 and you look at measures of total factor productivity, 448 00:26:17,610 --> 00:26:21,920 you get the usual sort of factor shares. 449 00:26:21,920 --> 00:26:24,200 Capital has the highest share. 450 00:26:24,200 --> 00:26:27,920 Land, someone asked me about, is relatively low. 451 00:26:27,920 --> 00:26:32,000 Factor growth, well, this is the increasing capitalization 452 00:26:32,000 --> 00:26:33,620 of the economy. 453 00:26:33,620 --> 00:26:38,330 And then share times growth rate kind of makes a contribution. 454 00:26:38,330 --> 00:26:42,320 That factors contribution to GDP. 455 00:26:42,320 --> 00:26:48,350 And you can see a capital share is almost equal to the total. 456 00:26:48,350 --> 00:26:52,800 So again, this is capitalization going on. 457 00:26:52,800 --> 00:27:00,280 And as you get these shifts out of sectors, 458 00:27:00,280 --> 00:27:05,500 and this is a quick review, we have the ratio of credit 459 00:27:05,500 --> 00:27:09,650 to GDP on one scale and financial access on the other. 460 00:27:09,650 --> 00:27:13,240 And you can see this turning point in 1986. 461 00:27:13,240 --> 00:27:16,660 That's the credit expansion measured at both the micro 462 00:27:16,660 --> 00:27:18,730 and at the macro level. 463 00:27:18,730 --> 00:27:23,680 And the point here about TFP is if you 464 00:27:23,680 --> 00:27:28,860 feed that in through the model we talked about last time, 465 00:27:28,860 --> 00:27:31,080 not only do you get TFP, can actually 466 00:27:31,080 --> 00:27:35,130 decompose actual TFP in Thailand into the contribution that's 467 00:27:35,130 --> 00:27:38,730 coming from this financial deepening effect. 468 00:27:38,730 --> 00:27:44,003 And this is the fit of the model predicted TFP 469 00:27:44,003 --> 00:27:47,280 to the measured Thai version of TFP that's coming 470 00:27:47,280 --> 00:27:48,540 from financial deepening. 471 00:27:48,540 --> 00:27:52,290 So roughly, that financial liberalization in Thailand-- 472 00:27:52,290 --> 00:27:55,590 not other reforms, in this case, just looking at financial 473 00:27:55,590 --> 00:27:56,820 reforms-- 474 00:27:56,820 --> 00:28:00,780 actually explains something like 78% of Thai TFP growth. 475 00:28:03,940 --> 00:28:08,740 And that kind of thing now, for us, in Thailand, it's 476 00:28:08,740 --> 00:28:11,550 all on the extensive margin. 477 00:28:11,550 --> 00:28:13,980 But for them, all of their reallocation stuff 478 00:28:13,980 --> 00:28:16,440 is going on the intensive margin. 479 00:28:16,440 --> 00:28:18,780 There is no sector in their model 480 00:28:18,780 --> 00:28:22,470 that could not get credit at least up to capital, 481 00:28:22,470 --> 00:28:24,600 whereas in Thailand, they just didn't 482 00:28:24,600 --> 00:28:29,110 have bank branches in many parts of the country. 483 00:28:29,110 --> 00:28:30,870 So it's a different interpretation. 484 00:28:33,790 --> 00:28:38,680 Now you know not everyone agrees with what's going on in China. 485 00:28:38,680 --> 00:28:44,330 This paper is about lifecycle savings. 486 00:28:44,330 --> 00:28:56,000 And they claim that the other guys are missing the point. 487 00:28:56,000 --> 00:29:01,220 And in particular, savings rates between the US and China 488 00:29:01,220 --> 00:29:03,950 varied a lot. 489 00:29:03,950 --> 00:29:08,450 And they used to be more similar than they are now. 490 00:29:08,450 --> 00:29:11,540 In 1988, savings rate across the household sector 491 00:29:11,540 --> 00:29:13,790 was roughly 5%. 492 00:29:13,790 --> 00:29:18,990 And basically, 20 years later, savings rate in China 493 00:29:18,990 --> 00:29:22,365 is up to 30% and the US declined to 2.5%. 494 00:29:26,290 --> 00:29:30,610 And all the while, the interest rates are coming down. 495 00:29:30,610 --> 00:29:33,190 So this is a puzzle for them. 496 00:29:33,190 --> 00:29:35,580 You know, what's going on? 497 00:29:35,580 --> 00:29:40,730 Well, they construct a life cycle model, basically. 498 00:29:51,920 --> 00:29:54,140 They construct a life cycle model, 499 00:29:54,140 --> 00:29:57,350 and they're going to say, basically, in the US, 500 00:29:57,350 --> 00:30:00,320 young people are saving less and less. 501 00:30:00,320 --> 00:30:02,200 Guess I should do a poll. 502 00:30:02,200 --> 00:30:07,740 Do graduate students save or borrow up to your constraints? 503 00:30:07,740 --> 00:30:09,740 But in the US-- sorry, I'm making light of it-- 504 00:30:12,380 --> 00:30:15,980 young people are saving less and less. 505 00:30:15,980 --> 00:30:17,970 Actually, they're borrowing more and more. 506 00:30:17,970 --> 00:30:20,390 So the decline in the world interest rates 507 00:30:20,390 --> 00:30:23,660 made credit cheaper for young households. 508 00:30:23,660 --> 00:30:26,330 And they're taking advantage of it. 509 00:30:26,330 --> 00:30:31,940 In China, it's the the middle aged guys 510 00:30:31,940 --> 00:30:35,030 who are saving more and more. 511 00:30:35,030 --> 00:30:37,230 Now the interest rate could have gone the other way. 512 00:30:37,230 --> 00:30:41,210 But this is one of these cases where the income effect trumps 513 00:30:41,210 --> 00:30:43,370 the substitution effect. 514 00:30:43,370 --> 00:30:47,090 And eat now, eat later. 515 00:30:47,090 --> 00:30:48,380 There's two goods. 516 00:30:48,380 --> 00:30:50,660 What's the Engel curve, so to speak? 517 00:30:50,660 --> 00:30:54,320 Higher incomes have generated higher savings in China. 518 00:30:57,920 --> 00:31:01,580 So time and time again, the moral is you have a model. 519 00:31:01,580 --> 00:31:03,170 You may see things that don't fit. 520 00:31:03,170 --> 00:31:04,670 We already have. 521 00:31:04,670 --> 00:31:12,110 Somebody else will come along and try to exploit more data, 522 00:31:12,110 --> 00:31:15,350 and either add to the puzzle or provide an explanation 523 00:31:15,350 --> 00:31:19,160 for things that weren't fitting so well. 524 00:31:19,160 --> 00:31:21,530 Each model, by construction, is not 525 00:31:21,530 --> 00:31:23,150 trying to get at everything. 526 00:31:23,150 --> 00:31:24,620 Don't fall into that trap. 527 00:31:24,620 --> 00:31:28,250 It's easy to think, if only we get it right, 528 00:31:28,250 --> 00:31:30,260 we'll have a totally realistic. 529 00:31:30,260 --> 00:31:32,660 All these models are abstractions, to some degree, 530 00:31:32,660 --> 00:31:36,710 and they're kind of telling a story about the growth process 531 00:31:36,710 --> 00:31:37,800 that's informative. 532 00:31:37,800 --> 00:31:41,180 And if there are too many moving parts, 533 00:31:41,180 --> 00:31:43,490 not only could we not tell a consistent story, 534 00:31:43,490 --> 00:31:45,620 we're going have trouble computing it. 535 00:31:45,620 --> 00:31:47,870 So what's very typical here is to try 536 00:31:47,870 --> 00:31:53,280 to explain why TFP varies across countries. 537 00:31:53,280 --> 00:31:58,370 There's a huge literature on this called growth accounting. 538 00:31:58,370 --> 00:32:03,320 And they're going to attempt to model. 539 00:32:03,320 --> 00:32:07,040 This is where the Hsieh Klenow stuff, in terms of measurement, 540 00:32:07,040 --> 00:32:07,700 comes in. 541 00:32:10,920 --> 00:32:13,230 But they're going to feature something not just 542 00:32:13,230 --> 00:32:14,580 in the aggregate. 543 00:32:14,580 --> 00:32:18,240 They're going to feature the fact that poor, low income 544 00:32:18,240 --> 00:32:23,130 countries not only have low TFP, they have big differences 545 00:32:23,130 --> 00:32:25,680 across sectors in terms of productivity 546 00:32:25,680 --> 00:32:27,540 and relative prices. 547 00:32:27,540 --> 00:32:29,550 In particular, the manufacturing sector 548 00:32:29,550 --> 00:32:33,630 is terribly inefficient in low income countries, 549 00:32:33,630 --> 00:32:37,740 and the price of capital is relatively high in low income 550 00:32:37,740 --> 00:32:40,720 countries. 551 00:32:40,720 --> 00:32:44,230 And they'll construct a model to explain 552 00:32:44,230 --> 00:32:47,020 some of those TFP differences. 553 00:32:50,340 --> 00:32:53,580 So what's the driver here? 554 00:32:53,580 --> 00:32:56,160 And this is one of the trees we're going to study in detail, 555 00:32:56,160 --> 00:32:59,500 so I don't want to repeat myself too much. 556 00:32:59,500 --> 00:33:01,230 But the idea they had, just to think 557 00:33:01,230 --> 00:33:04,260 about how one model differs from another one, 558 00:33:04,260 --> 00:33:06,510 is to introduce not only two sectors, 559 00:33:06,510 --> 00:33:09,270 but to have varying fixed costs. 560 00:33:09,270 --> 00:33:11,880 So the idea is this manufacturing sector, 561 00:33:11,880 --> 00:33:14,310 as opposed to what they call services, 562 00:33:14,310 --> 00:33:19,360 is the one that has these very big fixed costs. 563 00:33:19,360 --> 00:33:22,680 So you can imagine that with financing constraints, 564 00:33:22,680 --> 00:33:24,780 it's very hard for people to invest 565 00:33:24,780 --> 00:33:28,050 as they might want to do in something 566 00:33:28,050 --> 00:33:33,000 that requires a lot of credit because the fixed 567 00:33:33,000 --> 00:33:35,920 costs are so high. 568 00:33:35,920 --> 00:33:37,850 And they embed that in occupation choice, 569 00:33:37,850 --> 00:33:43,020 so people are choosing whether to be a worker 570 00:33:43,020 --> 00:33:45,750 or to operate a business in one of the other sectors. 571 00:33:52,060 --> 00:33:57,420 So as I said, this is all about cross-country data, 572 00:33:57,420 --> 00:34:01,560 as if every country were in a steady state. 573 00:34:01,560 --> 00:34:04,620 So they're going to go across countries 574 00:34:04,620 --> 00:34:09,420 that kind vary in the rate of, say, external finance 575 00:34:09,420 --> 00:34:12,960 or private credit to GDP, and see what else 576 00:34:12,960 --> 00:34:17,199 happens in the data as you go across those countries. 577 00:34:20,409 --> 00:34:22,810 Where do they get the parameters from? 578 00:34:22,810 --> 00:34:28,239 Well, day one I talked about Rajan and Zingales. 579 00:34:28,239 --> 00:34:30,699 The other paper does this as well. 580 00:34:30,699 --> 00:34:34,960 Basically, you act like the US has wonderfully efficient 581 00:34:34,960 --> 00:34:36,190 credit markets. 582 00:34:36,190 --> 00:34:38,900 A little harder to swallow these days. 583 00:34:38,900 --> 00:34:43,360 And so things like the firm size distribution in the US 584 00:34:43,360 --> 00:34:46,120 is as it ought to be, and everyone 585 00:34:46,120 --> 00:34:49,179 has the same technology, but they're credit constrained 586 00:34:49,179 --> 00:34:50,889 and the US is not. 587 00:34:50,889 --> 00:34:54,699 So you sort of calibrate the technology part 588 00:34:54,699 --> 00:34:59,500 of the model based on the US firm size distribution, 589 00:34:59,500 --> 00:35:04,640 or in this case, manufacturing versus services as well. 590 00:35:04,640 --> 00:35:09,540 And then you stick that into these models of the developing 591 00:35:09,540 --> 00:35:12,030 country. 592 00:35:12,030 --> 00:35:17,340 Now quite relevant to what we're trying 593 00:35:17,340 --> 00:35:21,690 to do in terms of micro and macro all at the same time 594 00:35:21,690 --> 00:35:26,900 is they take that setup and do a microfinance revolution. 595 00:35:31,140 --> 00:35:35,340 So again, there's the usual collateral financing 596 00:35:35,340 --> 00:35:36,000 constraint. 597 00:35:39,000 --> 00:35:41,850 It varies across countries. 598 00:35:41,850 --> 00:35:47,150 And then-- maybe I can just jump here. 599 00:35:47,150 --> 00:35:48,980 Then what they do, so people come in 600 00:35:48,980 --> 00:35:54,480 and they have a certain amount of wealth or assets, 601 00:35:54,480 --> 00:35:57,480 and then decide whether to be a worker or an entrepreneur. 602 00:36:00,660 --> 00:36:03,000 Normally, the entrepreneur faces some kind 603 00:36:03,000 --> 00:36:07,170 of financing constraint that depends on its wealth 604 00:36:07,170 --> 00:36:11,070 and maybe on its talent, and fee parameterizes 605 00:36:11,070 --> 00:36:14,490 how binding that constraint is. 606 00:36:14,490 --> 00:36:17,890 And here's the revolution, which is all of a sudden, 607 00:36:17,890 --> 00:36:19,890 you don't have to be constrained. 608 00:36:19,890 --> 00:36:27,240 You can get a loan which has nothing to do with your talent. 609 00:36:27,240 --> 00:36:28,980 And whatever your asset level is, 610 00:36:28,980 --> 00:36:33,940 you get to borrow a fixed size microfinance loan. 611 00:36:33,940 --> 00:36:35,830 So they embed that. 612 00:36:35,830 --> 00:36:39,160 The point is they're going to embed it in general equilibrium 613 00:36:39,160 --> 00:36:42,310 and then watch people choose, kind of do 614 00:36:42,310 --> 00:36:43,720 a controlled experiment. 615 00:36:43,720 --> 00:36:48,430 Actually, what they do is a partial equilibrium 616 00:36:48,430 --> 00:36:52,200 versus general equilibrium version. 617 00:36:52,200 --> 00:36:55,110 So we can look at the partial equilibrium version 618 00:36:55,110 --> 00:37:01,950 first, which basically says that you start the economy off, 619 00:37:01,950 --> 00:37:06,930 and then you do this microfinance innovation. 620 00:37:06,930 --> 00:37:09,150 And most things are going up. 621 00:37:09,150 --> 00:37:12,980 Certainly output and capital are going up over time-- 622 00:37:12,980 --> 00:37:19,880 sorry, it's cross-section-- go up as the amount of loan 623 00:37:19,880 --> 00:37:24,590 from the microfinance sector increases. 624 00:37:24,590 --> 00:37:27,290 All the economies are alike at the beginning, 625 00:37:27,290 --> 00:37:31,830 but the extent of the loan size varies in the cross section. 626 00:37:31,830 --> 00:37:34,970 And you can see, the larger the loan, the higher is output, 627 00:37:34,970 --> 00:37:38,630 the higher is capital in the economy, 628 00:37:38,630 --> 00:37:41,990 and not much is happening with TFP. 629 00:37:41,990 --> 00:37:44,660 But it general equilibrium, and you'll 630 00:37:44,660 --> 00:37:48,910 see this more in a minute when we go through the predecessor 631 00:37:48,910 --> 00:37:53,750 model, both the wage and the interest rate are endogenous. 632 00:37:53,750 --> 00:37:59,360 So when you provide credit, you start shifting the occupation 633 00:37:59,360 --> 00:38:00,740 choice of people. 634 00:38:00,740 --> 00:38:03,080 You start shifting the amount of capital 635 00:38:03,080 --> 00:38:07,480 they want to set up and run firms. 636 00:38:07,480 --> 00:38:10,850 That is changing the demand for credit. 637 00:38:10,850 --> 00:38:13,550 It also, as scale varies, changes 638 00:38:13,550 --> 00:38:17,010 the demand for employment starts moving the wage around. 639 00:38:17,010 --> 00:38:21,050 And so the general equilibrium effects are quite different, 640 00:38:21,050 --> 00:38:25,670 namely output doesn't move, even across economies 641 00:38:25,670 --> 00:38:28,180 as credit is moving. 642 00:38:28,180 --> 00:38:32,300 Output, TFP, is slightly increasing. 643 00:38:32,300 --> 00:38:38,912 And the economies are getting less and less capital. 644 00:38:38,912 --> 00:38:40,331 Yes. 645 00:38:40,331 --> 00:38:42,230 AUDIENCE: How do we read the [INAUDIBLE]?? 646 00:38:42,230 --> 00:38:44,446 How do we read the [INAUDIBLE]? 647 00:38:59,713 --> 00:39:00,630 ROBERT TOWNSEND: Yeah. 648 00:39:00,630 --> 00:39:03,240 I guess we'd have to dig back into the paper 649 00:39:03,240 --> 00:39:04,555 to get at the units. 650 00:39:11,040 --> 00:39:13,220 Part of it is I think everything has been normalized 651 00:39:13,220 --> 00:39:15,630 to have the same unit. 652 00:39:15,630 --> 00:39:19,430 I think the answer is it's all relative to this initial-- 653 00:39:19,430 --> 00:39:22,670 because all three lines have the same intercept, 654 00:39:22,670 --> 00:39:25,400 and that's not likely in any given model. 655 00:39:25,400 --> 00:39:29,540 So this is meant to get at what happens in the cross-section 656 00:39:29,540 --> 00:39:31,130 as you increase the amount of credit. 657 00:39:31,130 --> 00:39:36,074 That's why they more or less all fit on the same diagram. 658 00:39:36,074 --> 00:39:38,320 AUDIENCE: How do you read [INAUDIBLE]?? 659 00:39:38,320 --> 00:39:39,237 ROBERT TOWNSEND: Yeah. 660 00:39:39,237 --> 00:39:40,940 This is, again, a microfinance loan. 661 00:39:40,940 --> 00:39:43,690 This is just the size of the loan relative, 662 00:39:43,690 --> 00:39:48,270 I think this is to initial wealth or something. 663 00:39:48,270 --> 00:39:58,170 AUDIENCE: [INAUDIBLE] down because the guys are having 664 00:39:58,170 --> 00:40:07,410 more access to finance because [INAUDIBLE] we get more capital 665 00:40:07,410 --> 00:40:11,473 because there are less constrained or something. 666 00:40:11,473 --> 00:40:13,140 ROBERT TOWNSEND: I'm trying to remember. 667 00:40:13,140 --> 00:40:16,515 It all has to do with the interest rates and the wages. 668 00:40:20,430 --> 00:40:22,330 I think the interest rates are going down. 669 00:40:30,500 --> 00:40:33,320 Look at one more picture and see if that helps. 670 00:40:33,320 --> 00:40:37,050 Otherwise, we'll have to dig out the paper. 671 00:40:37,050 --> 00:40:40,230 This is for a given economy as you 672 00:40:40,230 --> 00:40:42,510 fix the level of the microfinance loan 673 00:40:42,510 --> 00:40:45,530 and then vary wealth. 674 00:40:45,530 --> 00:40:55,560 So it turns out that in partial equilibrium, more or less, 675 00:40:55,560 --> 00:40:57,900 the benefits are the same by wealth. 676 00:40:57,900 --> 00:41:01,740 But in general equilibrium, it's the relatively poor people 677 00:41:01,740 --> 00:41:06,290 who are able to take advantage. 678 00:41:06,290 --> 00:41:08,000 Maybe the wage is going up. 679 00:41:08,000 --> 00:41:10,640 That's part of it. 680 00:41:10,640 --> 00:41:15,040 So those untalented people who are workers are benefiting. 681 00:41:15,040 --> 00:41:16,860 That has to be true. 682 00:41:16,860 --> 00:41:20,740 By talent, over here, by ability, 683 00:41:20,740 --> 00:41:23,770 it's not true that the low ability guys 684 00:41:23,770 --> 00:41:27,020 are the primary beneficiaries. 685 00:41:27,020 --> 00:41:31,360 Basically, the peak is here, both in general and partial 686 00:41:31,360 --> 00:41:34,650 equilibrium, although in general, you 687 00:41:34,650 --> 00:41:40,230 can see that the general equilibrium makes the peak 688 00:41:40,230 --> 00:41:42,690 less, and it drops further. 689 00:41:42,690 --> 00:41:47,700 So the weak statement is the most able entrepreneurs 690 00:41:47,700 --> 00:41:50,340 in the country are not benefiting from microfinance, 691 00:41:50,340 --> 00:41:53,340 and they may actually be hurt from microfinance 692 00:41:53,340 --> 00:41:55,890 when you take into account the general equilibrium effect. 693 00:41:55,890 --> 00:41:59,980 I think that's also the wage going up. 694 00:41:59,980 --> 00:42:00,480 Yes. 695 00:42:00,480 --> 00:42:02,790 AUDIENCE: So the wage is starting point 8 Is it 696 00:42:02,790 --> 00:42:05,611 the same all the way to zero? 697 00:42:05,611 --> 00:42:07,102 The x axis? 698 00:42:13,520 --> 00:42:15,560 ROBERT TOWNSEND: I don't recall enough 699 00:42:15,560 --> 00:42:17,870 about how they calibrated this. 700 00:42:17,870 --> 00:42:23,040 Yeah, it's either the same, or they've truncated the ability 701 00:42:23,040 --> 00:42:26,325 distribution so the units actually start up here at point 702 00:42:26,325 --> 00:42:29,010 8 than at 0. 703 00:42:29,010 --> 00:42:32,170 But the point is yeah, the action is here. 704 00:42:35,210 --> 00:42:38,060 The same comment, your same question 705 00:42:38,060 --> 00:42:42,460 would apply here in terms of what is the scale of wealth. 706 00:42:42,460 --> 00:42:44,930 AUDIENCE: It was the same all the way down to-- 707 00:42:44,930 --> 00:42:47,138 suppose that we thought, oh, this is not a rescaling, 708 00:42:47,138 --> 00:42:48,860 and it shoots all the way down to the 0. 709 00:42:48,860 --> 00:42:50,610 That would be remarkable if literally they 710 00:42:50,610 --> 00:42:54,875 were just the same from point 8 to 0. 711 00:42:54,875 --> 00:42:57,030 And it's like the only action occurs at the end. 712 00:42:57,030 --> 00:42:58,488 ROBERT TOWNSEND: Remember, you have 713 00:42:58,488 --> 00:43:02,000 this crucial cutoff about who wants to be running a firm. 714 00:43:02,000 --> 00:43:05,090 You can be a wage earner, and whatever the wages are, 715 00:43:05,090 --> 00:43:07,700 they're fixed in equilibrium. 716 00:43:07,700 --> 00:43:10,190 That's the best option for many, many, many people. 717 00:43:10,190 --> 00:43:14,090 You have to be sufficiently talented to climb over 718 00:43:14,090 --> 00:43:16,905 that threshold and want to run a firm. 719 00:43:16,905 --> 00:43:19,280 And when you're running a firm, you could be constrained. 720 00:43:19,280 --> 00:43:20,990 You could have-- like China, you could 721 00:43:20,990 --> 00:43:24,440 have very high marginal returns, but with that collateral 722 00:43:24,440 --> 00:43:27,200 constraint, you can't borrow very much. 723 00:43:27,200 --> 00:43:31,190 So even though you have this amazingly high return, 724 00:43:31,190 --> 00:43:32,900 you can't exploit it. 725 00:43:32,900 --> 00:43:35,360 So the levels of profit stay low. 726 00:43:40,020 --> 00:43:40,540 OK. 727 00:43:40,540 --> 00:43:42,130 Well, it may be frustrating that we 728 00:43:42,130 --> 00:43:44,320 can't go into the details of this thing more. 729 00:43:44,320 --> 00:43:47,740 But in terms of quote, the big picture, 730 00:43:47,740 --> 00:43:51,880 you can see them making use of these kinds of models 731 00:43:51,880 --> 00:43:55,910 to examine a very relevant experience. 732 00:43:55,910 --> 00:43:58,750 Most evidence we have on microcredit 733 00:43:58,750 --> 00:44:02,680 is at the micro level, and it's almost, by construction, 734 00:44:02,680 --> 00:44:03,880 partial equilibrium. 735 00:44:06,680 --> 00:44:10,240 Joe and I tried to remedy that because Thailand put money 736 00:44:10,240 --> 00:44:13,020 in every village, and the villages vary in size. 737 00:44:13,020 --> 00:44:15,550 So we actually started to see the wage moving a little bit. 738 00:44:15,550 --> 00:44:20,530 But mostly, microcredit, as in RCTs, by construction, 739 00:44:20,530 --> 00:44:22,480 is going to have a partial equilibrium effect. 740 00:44:22,480 --> 00:44:25,990 But these, what's going on in Bangladesh? 741 00:44:25,990 --> 00:44:29,530 The whole country's got it. 742 00:44:29,530 --> 00:44:32,120 And we don't see the country without it. 743 00:44:32,120 --> 00:44:35,120 But that's why we need the model, 744 00:44:35,120 --> 00:44:38,520 to get to these counterfactuals. 745 00:44:38,520 --> 00:44:42,870 And I'm going to skip Joaquin's dissertation. 746 00:44:42,870 --> 00:44:43,860 It's on inequality. 747 00:44:43,860 --> 00:44:47,350 It's quite interesting. 748 00:44:47,350 --> 00:44:50,360 And I'm going to skip this thing about alleviating constraints 749 00:44:50,360 --> 00:44:51,200 in the long run. 750 00:44:51,200 --> 00:44:54,500 But we'll come back to it in homework 751 00:44:54,500 --> 00:45:00,590 and so on with Abhijit and Ben Moll on the persistence 752 00:45:00,590 --> 00:45:02,690 of misallocation. 753 00:45:02,690 --> 00:45:05,540 So let's get into the details of this China paper. 754 00:45:09,110 --> 00:45:13,110 I think you spent some time at the beginning of class. 755 00:45:13,110 --> 00:45:19,498 So maybe I can get by with not having to re-motivate it, 756 00:45:19,498 --> 00:45:20,790 and we'll start with the model. 757 00:45:20,790 --> 00:45:24,630 So it is an overlapping generations. 758 00:45:24,630 --> 00:45:26,130 That's always a bit heroic. 759 00:45:26,130 --> 00:45:28,878 Of course, it makes the thing much more tractable 760 00:45:28,878 --> 00:45:30,420 because you've only got, essentially, 761 00:45:30,420 --> 00:45:32,250 two periods of life to worry about 762 00:45:32,250 --> 00:45:35,500 in the dynamic optimization. 763 00:45:35,500 --> 00:45:39,490 Everyone's got the same preferences, by the way, 764 00:45:39,490 --> 00:45:42,350 whether you're going to be a worker 765 00:45:42,350 --> 00:45:46,190 or running a private firm. 766 00:45:46,190 --> 00:45:51,950 And it's over consumption today and consumption tomorrow. 767 00:45:51,950 --> 00:45:57,560 Theta is a power and beta is the discount rate. 768 00:45:57,560 --> 00:46:00,030 Workers. 769 00:46:00,030 --> 00:46:02,970 There's not much of an occupation choice thing here. 770 00:46:02,970 --> 00:46:06,660 Basically, it's almost as if exogenously, you've 771 00:46:06,660 --> 00:46:10,770 got workers versus entrepreneurs, 772 00:46:10,770 --> 00:46:14,300 so they downplay that choice, unlike the paper 773 00:46:14,300 --> 00:46:15,560 we just looked at. 774 00:46:15,560 --> 00:46:18,380 Workers earn some wage. 775 00:46:18,380 --> 00:46:20,230 And what do they do with the money? 776 00:46:20,230 --> 00:46:25,590 They can put it in the bank at some interest rate RT. 777 00:46:25,590 --> 00:46:27,960 We'll come back to that momentarily. 778 00:46:27,960 --> 00:46:33,650 Entrepreneurs are managers in entrepreneurial firms, 779 00:46:33,650 --> 00:46:36,950 and they earn something that makes 780 00:46:36,950 --> 00:46:39,590 them want to do that rather than be a wage earner. 781 00:46:39,590 --> 00:46:42,110 Now I just got done saying that there's not really 782 00:46:42,110 --> 00:46:44,690 any essential occupation choice, but that's 783 00:46:44,690 --> 00:46:47,000 because they parameterize this thing so 784 00:46:47,000 --> 00:46:50,450 that this return that an entrepreneur can get 785 00:46:50,450 --> 00:46:56,700 is always greater than the wage in equilibrium 786 00:46:56,700 --> 00:46:59,840 at the parameters they choose. 787 00:46:59,840 --> 00:47:01,468 What can they do with their money? 788 00:47:01,468 --> 00:47:03,260 They could also put their money in the bank 789 00:47:03,260 --> 00:47:06,500 at the same rate of interest, or they 790 00:47:06,500 --> 00:47:08,480 could put it in their firm. 791 00:47:08,480 --> 00:47:10,430 But like we've been saying, the rate of return 792 00:47:10,430 --> 00:47:15,983 is going to be really high on internal self-financed savings. 793 00:47:15,983 --> 00:47:18,150 So that's what they're going to do with their money. 794 00:47:18,150 --> 00:47:20,820 They don't put it in the bank. 795 00:47:20,820 --> 00:47:23,250 So that's higher than the rate. 796 00:47:23,250 --> 00:47:30,760 And some sort of things to keep an eye on. 797 00:47:30,760 --> 00:47:33,490 The population is growing at some rate. 798 00:47:33,490 --> 00:47:35,800 I don't know why they did that. 799 00:47:35,800 --> 00:47:43,920 I don't know whether they needed to get the model paths closer 800 00:47:43,920 --> 00:47:45,160 to the data. 801 00:47:45,160 --> 00:47:46,770 But anyway, that is in the model, 802 00:47:46,770 --> 00:47:51,810 and I'm not going to talk about it very much. 803 00:47:51,810 --> 00:47:53,820 Big story is productivity differences 804 00:47:53,820 --> 00:47:57,030 between state and private enterprise. 805 00:48:00,242 --> 00:48:01,700 And here's the production function. 806 00:48:01,700 --> 00:48:05,330 So there's two types of technologies. 807 00:48:05,330 --> 00:48:10,340 There's kind of a centralized and a decentralized technology. 808 00:48:10,340 --> 00:48:14,880 The decentralized technology is going to require managers. 809 00:48:14,880 --> 00:48:17,730 In effect, the centralized one doesn't 810 00:48:17,730 --> 00:48:20,510 take advantage of having managers, 811 00:48:20,510 --> 00:48:21,520 and I'll tell you why. 812 00:48:21,520 --> 00:48:23,250 It's pretty artificial. 813 00:48:23,250 --> 00:48:26,400 But for now, just note some things here. 814 00:48:30,460 --> 00:48:33,600 There is this exogenous technological progress, 815 00:48:33,600 --> 00:48:36,680 so that's kind of classic macro stuff. 816 00:48:36,680 --> 00:48:38,250 This A has a T on it. 817 00:48:38,250 --> 00:48:40,380 It's going to be growing over time. 818 00:48:40,380 --> 00:48:43,680 But it's labor augmenting. 819 00:48:43,680 --> 00:48:45,960 It's not sitting out here in front of the production 820 00:48:45,960 --> 00:48:47,800 function. 821 00:48:47,800 --> 00:48:50,530 It'll be there in a minute, but it's going to carry, 822 00:48:50,530 --> 00:48:54,125 inherit this 1 minus alpha when you pull it outside. 823 00:48:57,130 --> 00:48:58,660 Here's the Chi thing. 824 00:48:58,660 --> 00:49:04,450 So if you're in the decentralized private sector, 825 00:49:04,450 --> 00:49:10,050 then that technology is augmented by Chi. 826 00:49:10,050 --> 00:49:11,320 Chi is greater than 1. 827 00:49:16,640 --> 00:49:21,430 Now the idea is, why doesn't everyone do this? 828 00:49:21,430 --> 00:49:24,670 And even the state-financed firms, 829 00:49:24,670 --> 00:49:25,825 they kind of tell a story. 830 00:49:28,940 --> 00:49:31,510 And the story is basically-- 831 00:49:35,410 --> 00:49:38,836 let's look at the decentralized firm first. 832 00:49:38,836 --> 00:49:42,130 The decentralized firm has capital. 833 00:49:42,130 --> 00:49:47,300 Initially, it comes from somewhere. 834 00:49:47,300 --> 00:49:51,320 But during the production period, it's predetermined, 835 00:49:51,320 --> 00:49:54,800 and then they can hire labor, and they can hire managers. 836 00:49:54,800 --> 00:49:58,220 Managers need to be paid some compensation. 837 00:50:01,850 --> 00:50:02,940 Why this thing? 838 00:50:02,940 --> 00:50:08,110 So the idea here is a manager can basically steal the output, 839 00:50:08,110 --> 00:50:08,920 walk off with it. 840 00:50:12,200 --> 00:50:17,340 And so that's the psi, the pitchfork thing. 841 00:50:17,340 --> 00:50:19,970 So that's kind of like the financial distortion. 842 00:50:19,970 --> 00:50:22,610 That's going to drive this thing. 843 00:50:22,610 --> 00:50:26,920 The higher is phi, the more the manager can steal. 844 00:50:26,920 --> 00:50:28,170 And in fact, here's the thing. 845 00:50:28,170 --> 00:50:31,230 They're saying monitoring somehow 846 00:50:31,230 --> 00:50:34,800 prevents these hired managers from walking off 847 00:50:34,800 --> 00:50:36,210 with anything, but everything. 848 00:50:36,210 --> 00:50:39,000 But only the decentralized firms have this monitoring 849 00:50:39,000 --> 00:50:40,150 technology. 850 00:50:40,150 --> 00:50:44,280 The state-operated enterprises are so darn inefficient 851 00:50:44,280 --> 00:50:46,582 that basically, psi is equal to 1. 852 00:50:46,582 --> 00:50:51,220 So forget having managers. 853 00:50:51,220 --> 00:50:52,420 So that's the story. 854 00:50:52,420 --> 00:50:58,680 But it's really rigged, meant to tell a little deeper story 855 00:50:58,680 --> 00:51:02,060 than just imposing a finance constraint. 856 00:51:02,060 --> 00:51:03,620 So this will be at equality. 857 00:51:03,620 --> 00:51:06,050 You're going to have to pay the managers that amount 858 00:51:06,050 --> 00:51:08,540 just so they don't steal. 859 00:51:08,540 --> 00:51:10,250 And then plug that in, and you get 860 00:51:10,250 --> 00:51:15,500 the sort of maximization problem, which 861 00:51:15,500 --> 00:51:17,030 is now just maximizing. 862 00:51:19,630 --> 00:51:22,900 And you can see, after you pull out the factor labor, factor 863 00:51:22,900 --> 00:51:26,740 productivity, that you get stealing is not good. 864 00:51:26,740 --> 00:51:28,960 That lowers it, that chi is greater than 1 865 00:51:28,960 --> 00:51:31,360 raised to a power, that raises it. 866 00:51:31,360 --> 00:51:35,510 So this is kind of the productivity effect 867 00:51:35,510 --> 00:51:37,690 of running a private firm. 868 00:51:37,690 --> 00:51:39,070 Yes. 869 00:51:39,070 --> 00:51:40,010 AUDIENCE: [INAUDIBLE] 870 00:51:40,010 --> 00:51:41,468 ROBERT TOWNSEND: It's fixed so far. 871 00:51:41,468 --> 00:51:45,050 But it's actually going to be determined in this overlapping 872 00:51:45,050 --> 00:51:46,580 generations model. 873 00:51:46,580 --> 00:51:49,250 People who plan to be entrepreneurs 874 00:51:49,250 --> 00:51:50,765 in the second period will save. 875 00:51:56,226 --> 00:52:00,110 AUDIENCE: This would have been identical [INAUDIBLE].. 876 00:52:00,110 --> 00:52:02,110 ROBERT TOWNSEND: Yeah, you could have done that. 877 00:52:08,380 --> 00:52:08,880 OK. 878 00:52:12,247 --> 00:52:13,390 I said this. 879 00:52:25,650 --> 00:52:29,710 So this is just that production function notation. 880 00:52:29,710 --> 00:52:31,270 It's the same production function 881 00:52:31,270 --> 00:52:35,210 for both except for the chi. 882 00:52:35,210 --> 00:52:41,680 And the notation substitutes in entrepreneurial firms 883 00:52:41,680 --> 00:52:45,430 versus financially integrated firms. 884 00:52:45,430 --> 00:52:47,290 F for financially integrated. 885 00:52:47,290 --> 00:52:50,060 But they're not efficient guys. 886 00:52:50,060 --> 00:52:52,100 They're inefficient guys. 887 00:52:52,100 --> 00:52:55,280 And here's that productivity marching along 888 00:52:55,280 --> 00:52:58,295 following this sort of exogenous mark-off process. 889 00:53:09,830 --> 00:53:13,790 But the important friction is when I showed you 890 00:53:13,790 --> 00:53:18,260 that problem, or maybe it's not clear, not so clear yet 891 00:53:18,260 --> 00:53:22,640 that these private enterprise guys are limited in the amount 892 00:53:22,640 --> 00:53:25,130 that they can borrow. 893 00:53:25,130 --> 00:53:25,701 Yes. 894 00:53:25,701 --> 00:53:27,076 AUDIENCE: So the z is just shock? 895 00:53:30,540 --> 00:53:32,370 ROBERT TOWNSEND: It's boring. 896 00:53:32,370 --> 00:53:35,550 It's boring, but it's a big part of real business cycle 897 00:53:35,550 --> 00:53:36,085 analysis. 898 00:53:36,085 --> 00:53:37,710 The whole point of real business cycles 899 00:53:37,710 --> 00:53:41,520 is those aggregate shocks are driven by basically 900 00:53:41,520 --> 00:53:44,150 something like z or TFP. 901 00:53:44,150 --> 00:53:48,750 So they inherited that part of it. 902 00:53:48,750 --> 00:53:51,600 I'll show you where it enters. 903 00:53:51,600 --> 00:53:56,520 It's going to generate some exogenous this growth rate. 904 00:53:56,520 --> 00:53:59,550 But it's not going to be enough to explain China. 905 00:53:59,550 --> 00:54:00,960 As we were saying earlier, you've 906 00:54:00,960 --> 00:54:05,640 got to put in some other financing restrictions 907 00:54:05,640 --> 00:54:08,160 to try to match up with the data. 908 00:54:08,160 --> 00:54:08,660 OK. 909 00:54:08,660 --> 00:54:12,290 So the rate on deposits is going to be 910 00:54:12,290 --> 00:54:15,350 equal to the rate at which you can lend internationally. 911 00:54:15,350 --> 00:54:18,510 This is, like, US Treasuries, and that's 912 00:54:18,510 --> 00:54:19,440 where the money goes. 913 00:54:22,740 --> 00:54:28,500 Lending, there's a little bit of a markup, sort of not modeled. 914 00:54:28,500 --> 00:54:33,330 You have to charge more on your lending rate since some of it 915 00:54:33,330 --> 00:54:36,450 gets chewed up in the intermediation process. 916 00:54:36,450 --> 00:54:40,380 And this [INAUDIBLE] thing is basically that markup. 917 00:54:40,380 --> 00:54:42,390 So it subtracts off from the lending rate 918 00:54:42,390 --> 00:54:45,330 to be equal to the deposit rate. 919 00:54:49,060 --> 00:54:49,780 OK. 920 00:54:49,780 --> 00:54:50,905 So we do a little algebra. 921 00:54:57,420 --> 00:55:00,990 And I'll try to let you know where 922 00:55:00,990 --> 00:55:04,110 the equations are coming from. 923 00:55:04,110 --> 00:55:11,720 So this kappa, not k, is a ratio of capital to labor. 924 00:55:11,720 --> 00:55:15,770 But the labor is augmented by that augmenting technological 925 00:55:15,770 --> 00:55:17,130 progress. 926 00:55:17,130 --> 00:55:19,550 So as you may know, if you've worked through these things 927 00:55:19,550 --> 00:55:23,270 before, you have a Cobb Douglas production function. 928 00:55:23,270 --> 00:55:26,190 You want to look for wages and interest rates. 929 00:55:26,190 --> 00:55:32,870 Well, for example, the marginal product of capital 930 00:55:32,870 --> 00:55:36,920 will be set equal to quote, an interest rate, 931 00:55:36,920 --> 00:55:39,380 in this case the lending rate, because that's 932 00:55:39,380 --> 00:55:40,940 where you can borrow. 933 00:55:40,940 --> 00:55:43,010 And it ends up being-- 934 00:55:43,010 --> 00:55:43,685 it is this. 935 00:55:46,830 --> 00:55:49,680 Over the weekend I reworked all these equations just 936 00:55:49,680 --> 00:55:52,350 to make sure I could do the algebra. 937 00:55:52,350 --> 00:55:53,730 This one's pretty standard. 938 00:55:53,730 --> 00:55:55,947 Some of them get a bit tricky, but it probably 939 00:55:55,947 --> 00:55:57,780 is going to take too much of our time to try 940 00:55:57,780 --> 00:56:02,175 to do it from scratch here. 941 00:56:02,175 --> 00:56:04,300 But I will try to give you some guidance about what 942 00:56:04,300 --> 00:56:09,160 substitutions are going on and why they're doing it this way. 943 00:56:09,160 --> 00:56:12,910 The wage is the marginal product of labor, 944 00:56:12,910 --> 00:56:15,700 and this is an expression for the wage. 945 00:56:15,700 --> 00:56:20,800 Now that seems odd, except why not solve for labor? 946 00:56:20,800 --> 00:56:29,400 The point really is that this is fixed from abroad. 947 00:56:29,400 --> 00:56:32,110 That's going to fix kappa. 948 00:56:32,110 --> 00:56:36,490 And once kappa is fixed, then basically the wage 949 00:56:36,490 --> 00:56:40,540 is going to be constant if it were not 950 00:56:40,540 --> 00:56:42,200 for that technological progress. 951 00:56:42,200 --> 00:56:45,160 So the general equilibrium is made a lot easier 952 00:56:45,160 --> 00:56:47,950 here because they're able to get these closed form 953 00:56:47,950 --> 00:56:49,840 solutions for the wage and the interest rate. 954 00:57:00,870 --> 00:57:06,510 So again, where we're going is resources are going to flow. 955 00:57:06,510 --> 00:57:09,990 Labor in particular is going to start flowing out 956 00:57:09,990 --> 00:57:13,170 of the state-owned enterprises, but it doesn't do anything 957 00:57:13,170 --> 00:57:15,040 to the wage. 958 00:57:15,040 --> 00:57:17,430 And the interest rates are pinned down internationally. 959 00:57:17,430 --> 00:57:20,500 So to the extent the economy's getting richer and richer 960 00:57:20,500 --> 00:57:22,420 and there's no place for that money to go, 961 00:57:22,420 --> 00:57:23,420 it's going to go abroad. 962 00:57:25,930 --> 00:57:26,560 Yes. 963 00:57:26,560 --> 00:57:39,120 AUDIENCE: [INAUDIBLE] to provide entrepreneurs 964 00:57:39,120 --> 00:57:41,620 with the incentives to work as manager, 965 00:57:41,620 --> 00:57:48,340 and they have to be greater than this wage [INAUDIBLE].. 966 00:57:48,340 --> 00:57:51,210 How to guarantee [INAUDIBLE]. 967 00:57:51,210 --> 00:57:54,530 ROBERT TOWNSEND: Well, they set the parameters such 968 00:57:54,530 --> 00:57:55,250 that that's true. 969 00:58:03,080 --> 00:58:04,760 There's always this tension about where 970 00:58:04,760 --> 00:58:07,700 the parameters come from. 971 00:58:07,700 --> 00:58:10,140 So I'm drawn to micro data because then I 972 00:58:10,140 --> 00:58:12,710 can estimate something that I'm willing to believe. 973 00:58:12,710 --> 00:58:15,240 Other people like to calibrate them. 974 00:58:15,240 --> 00:58:17,055 Now, if you're telling a story, the story 975 00:58:17,055 --> 00:58:18,680 of China through the lens of this model 976 00:58:18,680 --> 00:58:21,290 is going to be consistent with big chunks of the data. 977 00:58:21,290 --> 00:58:23,720 So they're probably just happy to find a parameter that 978 00:58:23,720 --> 00:58:27,130 makes the story accurate. 979 00:58:27,130 --> 00:58:34,810 Different people have different tolerance levels. 980 00:58:34,810 --> 00:58:37,470 OK. 981 00:58:37,470 --> 00:58:41,280 So here are these private sector firms. 982 00:58:41,280 --> 00:58:47,430 After you substitute in for m in a previous expression 983 00:58:47,430 --> 00:58:51,090 that we just talked about, it's just choosing employment. 984 00:58:51,090 --> 00:58:54,800 And you get the first order condition. 985 00:58:54,800 --> 00:58:59,150 Now this is a trick that turned out to be handy. 986 00:58:59,150 --> 00:59:00,172 Why isn't the wage? 987 00:59:00,172 --> 00:59:01,880 Well, they took the first order condition 988 00:59:01,880 --> 00:59:05,015 and they multiplied by n, and they put n 989 00:59:05,015 --> 00:59:07,280 on both sides of this thing. 990 00:59:07,280 --> 00:59:08,930 So there is a substitution in there. 991 00:59:08,930 --> 00:59:13,310 That's because this analytic expression-- 992 00:59:13,310 --> 00:59:16,340 the wage bill turns out to get used later 993 00:59:16,340 --> 00:59:18,860 and they wanted an expression for it. 994 00:59:18,860 --> 00:59:19,640 What is n? 995 00:59:19,640 --> 00:59:21,170 Basically, it's this thing. 996 00:59:23,710 --> 00:59:26,580 So the employment in these private sector firms 997 00:59:26,580 --> 00:59:28,485 is proportional to the capital. 998 00:59:31,370 --> 00:59:33,730 In fact, many, many things, almost everything 999 00:59:33,730 --> 00:59:36,760 in this model, is going to be proportional to capital. 1000 00:59:39,930 --> 00:59:44,160 and the thing that does move, if anything, 1001 00:59:44,160 --> 00:59:45,810 is basically this productivity. 1002 00:59:45,810 --> 00:59:51,490 But a certain ratios are going to stay constant, 1003 00:59:51,490 --> 00:59:53,650 even if some of the levels are moving. 1004 00:59:53,650 --> 00:59:56,540 So here is the wage. 1005 00:59:56,540 --> 01:00:00,800 We substitute that wage back into 2, 1006 01:00:00,800 --> 01:00:05,000 and we get this expression for the profits 1007 01:00:05,000 --> 01:00:06,650 of the private sector. 1008 01:00:06,650 --> 01:00:10,890 And the point is this thing on the right-hand side, 1009 01:00:10,890 --> 01:00:12,540 it's just linear. 1010 01:00:12,540 --> 01:00:15,150 So despite what you might thought 1011 01:00:15,150 --> 01:00:17,490 would be the diminishing returns, 1012 01:00:17,490 --> 01:00:20,430 the fact is they're able to hire enough labor 1013 01:00:20,430 --> 01:00:22,380 on the extensive margin at a fixed wage 1014 01:00:22,380 --> 01:00:24,940 so they don't get hit with those diminishing returns. 1015 01:00:24,940 --> 01:00:29,140 And for the transition that they want to analyze, 1016 01:00:29,140 --> 01:00:33,180 it's basically what they call a AK model, 1017 01:00:33,180 --> 01:00:34,650 not to confuse the notation. 1018 01:00:34,650 --> 01:00:39,300 It's linear, so basically, Rho is really high. 1019 01:00:39,300 --> 01:00:41,280 I'm going to go bananas. 1020 01:00:41,280 --> 01:00:43,650 Give me more k. 1021 01:00:43,650 --> 01:00:44,220 K is good. 1022 01:00:44,220 --> 01:00:45,060 I can make money. 1023 01:00:45,060 --> 01:00:47,580 Rho is a lot higher than R. 1024 01:00:47,580 --> 01:00:48,635 No, no, no, no. 1025 01:00:48,635 --> 01:00:50,010 There's going to be a constraint. 1026 01:00:50,010 --> 01:00:51,510 That's the financing constraint. 1027 01:00:51,510 --> 01:00:58,760 But it really helps the dynamics to figure it out. 1028 01:00:58,760 --> 01:01:00,640 So again, what is that Rho? 1029 01:01:00,640 --> 01:01:03,330 It's this thing. 1030 01:01:03,330 --> 01:01:05,365 And these are all basically parameters, 1031 01:01:05,365 --> 01:01:06,240 interest rates fixed. 1032 01:01:06,240 --> 01:01:10,990 Alpha's labor productivity, capital productivity. 1033 01:01:10,990 --> 01:01:14,130 Pitchfork v was a distortion from stealing, 1034 01:01:14,130 --> 01:01:16,827 that chi was this exogenous productivity 1035 01:01:16,827 --> 01:01:17,910 in the state-owned sector. 1036 01:01:17,910 --> 01:01:20,820 Everything on the right-hand side is just a number. 1037 01:01:20,820 --> 01:01:23,940 And this thing is set, parameter choice 1038 01:01:23,940 --> 01:01:26,430 set to be greater than 1. 1039 01:01:26,430 --> 01:01:29,620 So that's going to be the driver of China. 1040 01:01:32,267 --> 01:01:34,850 And it would happen right away if it weren't for the borrowing 1041 01:01:34,850 --> 01:01:35,420 constraint. 1042 01:01:35,420 --> 01:01:38,730 So where do you get money from? 1043 01:01:38,730 --> 01:01:40,930 OK, a little lesson on financing, which you 1044 01:01:40,930 --> 01:01:41,800 already know. 1045 01:01:41,800 --> 01:01:45,250 But in the notation, we asked about k. 1046 01:01:45,250 --> 01:01:48,100 Where did k come from? 1047 01:01:48,100 --> 01:01:52,210 K, at the beginning of the period, is predetermined, 1048 01:01:52,210 --> 01:01:56,590 but it came from last period saving and from the amount 1049 01:01:56,590 --> 01:01:58,850 that they borrowed. 1050 01:01:58,850 --> 01:02:01,410 So that's the timing. 1051 01:02:01,410 --> 01:02:03,390 And it's the saving of the entrepreneur who's 1052 01:02:03,390 --> 01:02:07,460 going to be running that firm when they're older, 1053 01:02:07,460 --> 01:02:11,030 and they save when they're young. 1054 01:02:11,030 --> 01:02:11,530 OK. 1055 01:02:11,530 --> 01:02:18,070 So this L is kind of like L, liquidity, the amount you 1056 01:02:18,070 --> 01:02:20,450 can borrow, could be 0. 1057 01:02:20,450 --> 01:02:34,040 But basically you've got to pay back those loans because you 1058 01:02:34,040 --> 01:02:35,990 borrow them at interest. 1059 01:02:35,990 --> 01:02:40,580 And so the amount you've got to pay back 1060 01:02:40,580 --> 01:02:43,055 is going to be bounded by your profit. 1061 01:02:46,080 --> 01:02:48,120 And then they're kind of rewriting 1062 01:02:48,120 --> 01:02:49,170 the expression for that. 1063 01:02:53,310 --> 01:02:57,580 So we imagine this is binding. 1064 01:02:57,580 --> 01:03:00,840 This is where the credit constraint is. 1065 01:03:00,840 --> 01:03:05,490 You're limited to pay back the loan out of, basically, 1066 01:03:05,490 --> 01:03:10,080 next period's profits, or a proportion of it, 1067 01:03:10,080 --> 01:03:12,690 I should say, with factor eta. 1068 01:03:12,690 --> 01:03:16,050 So the so-called leverage ratio, which 1069 01:03:16,050 --> 01:03:19,350 is credit to the total amount of financing, 1070 01:03:19,350 --> 01:03:22,290 both internal and external, is basically 1071 01:03:22,290 --> 01:03:24,932 just this fixed number. 1072 01:03:24,932 --> 01:03:26,640 A lot of this we've already talked about. 1073 01:03:26,640 --> 01:03:29,610 We just threw in another parameter. 1074 01:03:34,860 --> 01:03:35,360 OK. 1075 01:03:35,360 --> 01:03:40,820 So back to the entrepreneur maximizing utility 1076 01:03:40,820 --> 01:03:44,150 with those preferences. 1077 01:03:44,150 --> 01:03:50,220 When they're young, they're basically 1078 01:03:50,220 --> 01:03:55,890 getting the managerial compensation less the savings. 1079 01:03:55,890 --> 01:03:59,880 And when they're older, they get the return on the enterprise 1080 01:03:59,880 --> 01:04:07,050 that they're quote, running, plus 1081 01:04:07,050 --> 01:04:12,590 they get this extra kick because the more they can borrow at RL, 1082 01:04:12,590 --> 01:04:16,010 which is fixed, given that Rho E is higher than that, 1083 01:04:16,010 --> 01:04:19,580 they get a return on the resources 1084 01:04:19,580 --> 01:04:23,550 that they got from externally. 1085 01:04:23,550 --> 01:04:26,100 So they have money from their own internal rate, 1086 01:04:26,100 --> 01:04:28,350 on their own savings, and then money 1087 01:04:28,350 --> 01:04:31,130 from, quote, profits that they get 1088 01:04:31,130 --> 01:04:36,240 being able to borrow at a lower rate than their rate of return. 1089 01:04:36,240 --> 01:04:40,890 And you can decompose this into the return, the premium, 1090 01:04:40,890 --> 01:04:46,420 and the leverage ratio, all in a given period, 1091 01:04:46,420 --> 01:04:49,540 multiplied by the savings rate. 1092 01:04:49,540 --> 01:04:50,920 When we get to measurement, we're 1093 01:04:50,920 --> 01:04:54,250 going to talk a lot about where does wealth come from. 1094 01:04:54,250 --> 01:04:55,820 Wealth comes from saving. 1095 01:04:55,820 --> 01:04:58,120 There's a savings rate, and then there's 1096 01:04:58,120 --> 01:05:00,040 the rate of return you get on saving, 1097 01:05:00,040 --> 01:05:04,040 which is like TFP, or basically factor productivity. 1098 01:05:04,040 --> 01:05:09,400 This is effect, with some leverage, the productivity you 1099 01:05:09,400 --> 01:05:11,020 get on given levels of saving. 1100 01:05:14,920 --> 01:05:16,690 The point is that this is all a constant, 1101 01:05:16,690 --> 01:05:24,330 so the savings is just going to be proportional to m. 1102 01:05:24,330 --> 01:05:26,310 Now again, I looked at this over the weekend. 1103 01:05:26,310 --> 01:05:27,390 I'm like, huh? 1104 01:05:27,390 --> 01:05:29,040 How is that coming from this? 1105 01:05:29,040 --> 01:05:32,390 Well, no, no, you got to go back up here. 1106 01:05:32,390 --> 01:05:34,960 And remember, you're going to get an Euler equation 1107 01:05:34,960 --> 01:05:40,540 because you're going to be sacrificing consumption today 1108 01:05:40,540 --> 01:05:43,630 as you say more, and you're going to get something out 1109 01:05:43,630 --> 01:05:46,060 tomorrow with a fixed return. 1110 01:05:46,060 --> 01:05:48,970 And given these preferences raised to a power theta, 1111 01:05:48,970 --> 01:05:53,630 you get a nice expression for the savings rate. 1112 01:05:53,630 --> 01:05:55,930 The rate is constant, and it's just 1113 01:05:55,930 --> 01:06:00,760 proportional to their income. 1114 01:06:00,760 --> 01:06:01,950 So again, do you like it? 1115 01:06:01,950 --> 01:06:02,550 I don't know. 1116 01:06:02,550 --> 01:06:03,797 It's special. 1117 01:06:03,797 --> 01:06:05,005 But it's part of the algebra. 1118 01:06:07,830 --> 01:06:09,470 It's easy to tell the story in English. 1119 01:06:09,470 --> 01:06:10,940 When you get to the equations, you 1120 01:06:10,940 --> 01:06:13,380 realize assumptions are being made. 1121 01:06:13,380 --> 01:06:13,880 Yes. 1122 01:06:13,880 --> 01:06:16,100 Question? 1123 01:06:16,100 --> 01:06:29,850 AUDIENCE: [INAUDIBLE] 1124 01:06:29,850 --> 01:06:32,060 ROBERT TOWNSEND: Yeah. 1125 01:06:32,060 --> 01:06:34,550 The way I'm giving this, probably not 1126 01:06:34,550 --> 01:06:36,350 the most complimentary way. 1127 01:06:36,350 --> 01:06:39,560 I'm basically saying they're making up the parameters. 1128 01:06:39,560 --> 01:06:41,300 If there's something disciplining 1129 01:06:41,300 --> 01:06:45,200 the other parameters, then you need eta to be less than 1 1130 01:06:45,200 --> 01:06:47,390 in order to be able to tell this. 1131 01:06:47,390 --> 01:06:49,190 And the other papers in the literature 1132 01:06:49,190 --> 01:06:51,610 are clearly doing that. 1133 01:06:51,610 --> 01:06:55,565 AUDIENCE: But my question is, why do you need an extra-- 1134 01:06:55,565 --> 01:06:57,190 these firms have to pay their managers. 1135 01:06:57,190 --> 01:06:58,918 So the chi has to be-- 1136 01:06:58,918 --> 01:07:00,960 ROBERT TOWNSEND: Yeah, it's a very good question. 1137 01:07:00,960 --> 01:07:01,835 And we'd have to go-- 1138 01:07:04,760 --> 01:07:08,250 unless it pops up shortly in the next few equations, 1139 01:07:08,250 --> 01:07:10,490 then I would have to go back to the paper 1140 01:07:10,490 --> 01:07:12,530 and tell you which particular piece of data 1141 01:07:12,530 --> 01:07:15,980 are they trying to fit for which they need that eta as opposed 1142 01:07:15,980 --> 01:07:17,660 to the other things. 1143 01:07:20,880 --> 01:07:25,410 So then we get to the aggregate dynamics. 1144 01:07:25,410 --> 01:07:30,270 Well, this is the return on Firm I. But it's linear, 1145 01:07:30,270 --> 01:07:34,480 so basically you can you can aggregate up. 1146 01:07:34,480 --> 01:07:36,480 So you're really going to use or abuse 1147 01:07:36,480 --> 01:07:38,100 this algebra pretty heavily. 1148 01:07:38,100 --> 01:07:41,610 The linearity makes it easy to get the total output 1149 01:07:41,610 --> 01:07:44,670 in the entrepreneurial sector. 1150 01:07:44,670 --> 01:07:47,100 Now here are some other ingredients. 1151 01:07:47,100 --> 01:07:49,740 We've already seen that wages and levels 1152 01:07:49,740 --> 01:07:52,320 are proportional to output because of the stealing 1153 01:07:52,320 --> 01:07:54,420 parameter. 1154 01:07:54,420 --> 01:07:57,600 But output, we already just saw on the last slide, 1155 01:07:57,600 --> 01:07:58,755 is proportional to capital. 1156 01:08:01,700 --> 01:08:07,220 Also, managers save a constant rate out of their earnings. 1157 01:08:07,220 --> 01:08:12,620 And we just saw that the leverage ratio is constant. 1158 01:08:12,620 --> 01:08:14,810 So lots of things are constants. 1159 01:08:14,810 --> 01:08:16,790 Other things are proportional. 1160 01:08:16,790 --> 01:08:21,260 Basically, the capital stock is the key driver. 1161 01:08:21,260 --> 01:08:28,284 And it's moving with exogenous technological progress. 1162 01:08:31,040 --> 01:08:38,029 So the ratio of output from one period to the next 1163 01:08:38,029 --> 01:08:40,670 is the same as the ratio of the capital from one 1164 01:08:40,670 --> 01:08:42,560 period to the next, and they're all 1165 01:08:42,560 --> 01:08:44,295 equal to this common constant. 1166 01:08:49,649 --> 01:08:52,665 So the entrepreneurial sector, therefore, is growing. 1167 01:08:52,665 --> 01:08:54,290 We've gone from levels to growth rates. 1168 01:08:54,290 --> 01:08:55,529 That's the point. 1169 01:08:55,529 --> 01:08:58,140 So now we can talk about how fast 1170 01:08:58,140 --> 01:09:00,359 is the private sector in China growing. 1171 01:09:07,420 --> 01:09:09,160 Here's the financially integrated, 1172 01:09:09,160 --> 01:09:12,550 inefficient government-financed firms. 1173 01:09:12,550 --> 01:09:15,770 And this is another expression for output. 1174 01:09:15,770 --> 01:09:20,819 This is the output of the private enterprise sector. 1175 01:09:20,819 --> 01:09:22,750 Just to take you through the algebra 1176 01:09:22,750 --> 01:09:25,470 so it's not too much of a mystery, 1177 01:09:25,470 --> 01:09:31,740 they've deliberately gotten this term in the expression. 1178 01:09:31,740 --> 01:09:34,859 That was the whole point of re-manipulating the output. 1179 01:09:34,859 --> 01:09:39,090 And this expression is something you can figure out 1180 01:09:39,090 --> 01:09:42,810 from all the other things we did on the past four slides. 1181 01:09:42,810 --> 01:09:45,149 So you get a simple expression in terms 1182 01:09:45,149 --> 01:09:53,550 of kappa and parameters for this adjusted ratio of total capital 1183 01:09:53,550 --> 01:09:56,880 to total labor. 1184 01:09:56,880 --> 01:10:00,130 You start substituting that in here. 1185 01:10:00,130 --> 01:10:01,890 That's where it went. 1186 01:10:01,890 --> 01:10:05,040 And you do a little more manipulation, 1187 01:10:05,040 --> 01:10:11,910 and you can get output per worker in the whole economy. 1188 01:10:11,910 --> 01:10:18,000 So this is a version of labor productivity for all of China. 1189 01:10:18,000 --> 01:10:21,320 And of course, output is the sum of the output in the two 1190 01:10:21,320 --> 01:10:21,890 sectors. 1191 01:10:21,890 --> 01:10:27,780 Total labor is still n here. 1192 01:10:27,780 --> 01:10:32,110 But you can look at output as a function of labor employment 1193 01:10:32,110 --> 01:10:35,230 from these tricks, controlling for kappa 1194 01:10:35,230 --> 01:10:37,870 and this productivity, and you finally 1195 01:10:37,870 --> 01:10:41,080 get the story, the bottom line, which 1196 01:10:41,080 --> 01:10:45,360 is the total output of the economy is growing. 1197 01:10:45,360 --> 01:10:46,840 Why? 1198 01:10:46,840 --> 01:10:49,050 One, not too surprising. 1199 01:10:49,050 --> 01:10:52,060 It's exogenous technological progress. 1200 01:10:52,060 --> 01:10:57,280 But the other is that this thing is growing. 1201 01:10:57,280 --> 01:11:00,910 So employment in the enterprise sector 1202 01:11:00,910 --> 01:11:03,550 relative to the whole economy, this thing 1203 01:11:03,550 --> 01:11:09,170 is going up because the enterprise sector is expanding, 1204 01:11:09,170 --> 01:11:12,657 drawing employment slowly. 1205 01:11:12,657 --> 01:11:13,740 And here are the diagrams. 1206 01:11:19,400 --> 01:11:24,140 So one thing, I made a little joke about Thailand 1207 01:11:24,140 --> 01:11:27,260 exhausting agriculture and no one living there anymore, 1208 01:11:27,260 --> 01:11:30,110 and how you got this knife edge on the wage. 1209 01:11:30,110 --> 01:11:32,750 They also have the same thing going on. 1210 01:11:32,750 --> 01:11:35,435 At some point, this process slows down or stops. 1211 01:11:38,540 --> 01:11:45,260 Now eventually, you'll draw employment out 1212 01:11:45,260 --> 01:11:47,760 of that state-owned sector. 1213 01:11:47,760 --> 01:11:49,460 It will disappear. 1214 01:11:49,460 --> 01:11:53,610 And at that point the wage is going to start to go up. 1215 01:11:53,610 --> 01:11:56,970 This isn't totally realistic because the wages are rising 1216 01:11:56,970 --> 01:11:59,020 in China, to some extent. 1217 01:11:59,020 --> 01:12:02,870 But they were low for quite a while. 1218 01:12:02,870 --> 01:12:03,590 I don't know. 1219 01:12:03,590 --> 01:12:05,750 The date's supposed to be 1992. 1220 01:12:05,750 --> 01:12:07,580 Yes. 1221 01:12:07,580 --> 01:12:10,560 This is the firm employment share, which 1222 01:12:10,560 --> 01:12:12,395 again, goes up until it hits 1. 1223 01:12:14,950 --> 01:12:16,990 So you see the parallel with what we did before. 1224 01:12:16,990 --> 01:12:18,880 It's just we've relabeled the sector, 1225 01:12:18,880 --> 01:12:22,900 and the algebra and the assumptions are different. 1226 01:12:22,900 --> 01:12:26,350 But here you get output growing, and then 1227 01:12:26,350 --> 01:12:29,320 you hit the sort of diminishing returns at cap 1228 01:12:29,320 --> 01:12:30,910 T. Is the end of China. 1229 01:12:30,910 --> 01:12:32,230 No, just kidding. 1230 01:12:32,230 --> 01:12:34,990 I keep looking at these guys. 1231 01:12:34,990 --> 01:12:37,855 The T is when you've exhausted this transition process. 1232 01:12:42,790 --> 01:12:44,800 And here's the foreign surplus to GDP. 1233 01:12:44,800 --> 01:12:47,620 We'll get to that in a minute. 1234 01:12:47,620 --> 01:12:49,300 And here's the aggregate savings rate 1235 01:12:49,300 --> 01:12:51,950 going up very dramatically. 1236 01:12:51,950 --> 01:12:54,340 So by the way, that demography paper 1237 01:12:54,340 --> 01:12:56,650 that claimed other people don't get 1238 01:12:56,650 --> 01:12:58,420 an increase in the aggregate savings rate 1239 01:12:58,420 --> 01:13:00,650 is wrong because it is happening in this model. 1240 01:13:00,650 --> 01:13:01,150 Yes. 1241 01:13:01,150 --> 01:13:06,370 AUDIENCE: Do we know from later on the data from China 1242 01:13:06,370 --> 01:13:08,560 on, I guess, state and private employment, 1243 01:13:08,560 --> 01:13:10,120 and also, like you're saying, data 1244 01:13:10,120 --> 01:13:13,540 on the wage, if we're to believe this model, 1245 01:13:13,540 --> 01:13:15,550 how long the transition will go on. 1246 01:13:18,980 --> 01:13:21,740 ROBERT TOWNSEND: Well, I guess that's the key question, 1247 01:13:21,740 --> 01:13:25,190 and I don't think they focused on that, 1248 01:13:25,190 --> 01:13:29,360 unlike the previous paper. 1249 01:13:29,360 --> 01:13:33,030 The data, you're reminding me to say something about that. 1250 01:13:33,030 --> 01:13:35,300 So they actually look by, I guess, 1251 01:13:35,300 --> 01:13:39,440 it's province within China. 1252 01:13:39,440 --> 01:13:42,470 And they're saying that areas with growth in private sector 1253 01:13:42,470 --> 01:13:46,760 employment are areas that are basically having high savings 1254 01:13:46,760 --> 01:13:47,600 rates. 1255 01:13:47,600 --> 01:13:50,820 So they're actually fitting it a bit within the country. 1256 01:13:50,820 --> 01:13:55,830 The other thing I remember to say is China Data Center. 1257 01:13:55,830 --> 01:14:01,780 So as per our continuing conversation about GIS, 1258 01:14:01,780 --> 01:14:04,290 there's a --they're housed at Michigan, 1259 01:14:04,290 --> 01:14:07,350 partly funded by Michigan, but also Purdue and the Luce 1260 01:14:07,350 --> 01:14:09,060 Foundation and so on-- 1261 01:14:09,060 --> 01:14:15,390 and they are putting tons of data on GIS archive, 1262 01:14:15,390 --> 01:14:17,250 and you can generate maps. 1263 01:14:17,250 --> 01:14:20,550 Actually, MIT is a subscriber, so you can get a lot of this 1264 01:14:20,550 --> 01:14:23,010 if you go to MIT GIS. 1265 01:14:23,010 --> 01:14:26,010 You can find China Data Center. 1266 01:14:26,010 --> 01:14:28,170 I actually put it on my syllabus and I'd forgotten 1267 01:14:28,170 --> 01:14:30,142 to mention it up to this point. 1268 01:14:30,142 --> 01:14:32,100 So there's probably a lot of interesting things 1269 01:14:32,100 --> 01:14:35,053 you could do with the Chinese data. 1270 01:14:35,053 --> 01:14:37,470 I'm not saying they have all of it there, and some of it's 1271 01:14:37,470 --> 01:14:39,380 confidential. 1272 01:14:39,380 --> 01:14:39,880 All right. 1273 01:14:44,900 --> 01:14:47,510 Here's the story of the capital outflows. 1274 01:14:47,510 --> 01:14:49,750 You've got investment. 1275 01:14:49,750 --> 01:14:51,400 Well, you've got deposits. 1276 01:14:51,400 --> 01:14:53,450 Little lesson on flow of funds. 1277 01:14:53,450 --> 01:14:57,710 You've got the deposits coming from the workers. 1278 01:14:57,710 --> 01:14:59,570 Wages times employment. 1279 01:14:59,570 --> 01:15:06,610 And they're going to put that times a parameter. 1280 01:15:06,610 --> 01:15:09,140 They do eat some. 1281 01:15:09,140 --> 01:15:12,270 And that money has to go somewhere. 1282 01:15:12,270 --> 01:15:17,248 It can go into investment, or it could go in lending 1283 01:15:17,248 --> 01:15:18,290 to the rest of the world. 1284 01:15:18,290 --> 01:15:20,660 And they actually solve this equation 1285 01:15:20,660 --> 01:15:22,100 with all this other algebra, which 1286 01:15:22,100 --> 01:15:23,510 by now is too bewildering. 1287 01:15:23,510 --> 01:15:25,820 You wouldn't be able to replicate it 1288 01:15:25,820 --> 01:15:26,780 right off your head. 1289 01:15:26,780 --> 01:15:34,010 But basically, this borrowing is coming from a constant term, 1290 01:15:34,010 --> 01:15:35,450 lending to the rest of the world-- 1291 01:15:35,450 --> 01:15:36,450 funny thing to call it-- 1292 01:15:36,450 --> 01:15:43,310 B is coming from a constant term this increase in TFP, partly, 1293 01:15:43,310 --> 01:15:45,150 that's driving it, and then this thing. 1294 01:15:45,150 --> 01:15:48,470 So the big story here is that when 1295 01:15:48,470 --> 01:15:51,840 the state owned enterprise sector is shrinking, 1296 01:15:51,840 --> 01:15:54,300 it's releasing resources. 1297 01:15:54,300 --> 01:15:56,780 They're the big borrowers, and so they're 1298 01:15:56,780 --> 01:15:59,320 borrowing less and less. 1299 01:15:59,320 --> 01:16:02,290 So that's a big part of the money going abroad. 1300 01:16:05,100 --> 01:16:05,600 OK. 1301 01:16:05,600 --> 01:16:07,700 So I'm going to just settle on giving you 1302 01:16:07,700 --> 01:16:14,750 an outline of this paper and let you look at the slides 1303 01:16:14,750 --> 01:16:19,380 at your leisure, so to speak. 1304 01:16:19,380 --> 01:16:25,200 This is the motivation we've talked about, 1305 01:16:25,200 --> 01:16:27,961 which is relative prices in TFP. 1306 01:16:31,650 --> 01:16:33,060 Let me find key equations. 1307 01:16:37,350 --> 01:16:38,970 So there's two sectors, and there's 1308 01:16:38,970 --> 01:16:42,060 a fixed cost, which is higher in manufacturing 1309 01:16:42,060 --> 01:16:44,310 than service sector. 1310 01:16:44,310 --> 01:16:49,110 There is this entrepreneurial ability, and there's wealth, 1311 01:16:49,110 --> 01:16:51,690 and then there's this credit friction. 1312 01:16:51,690 --> 01:16:59,910 Now again, this production technology 1313 01:16:59,910 --> 01:17:01,590 looks like Cobb Douglas. 1314 01:17:01,590 --> 01:17:03,450 It has decreasing returns to scale, 1315 01:17:03,450 --> 01:17:11,510 but it's augmented by z, which was a, sort of a version of it. 1316 01:17:11,510 --> 01:17:15,470 And now what makes this more challenging 1317 01:17:15,470 --> 01:17:21,570 is it's supposed to have a realistic optimization, 1318 01:17:21,570 --> 01:17:23,550 infinite horizon. 1319 01:17:23,550 --> 01:17:27,400 Everyone is maximizing discounted expected utility. 1320 01:17:27,400 --> 01:17:29,310 There's no heterogeneity. 1321 01:17:29,310 --> 01:17:32,210 But good luck solving this. 1322 01:17:32,210 --> 01:17:36,900 They do, or partly computing. 1323 01:17:36,900 --> 01:17:39,190 So it's sort of a CDS. 1324 01:17:39,190 --> 01:17:41,970 There are two goods, the service sector and the manufacturing 1325 01:17:41,970 --> 01:17:43,500 sector. 1326 01:17:43,500 --> 01:17:48,300 And this pitchfork thing is sort of the weight between the two. 1327 01:17:48,300 --> 01:17:50,640 You're picking up parameters, by the way. 1328 01:17:50,640 --> 01:17:52,200 Be mindful of that. 1329 01:17:52,200 --> 01:17:57,900 Beta, sigma, something that looks like an epsilon. 1330 01:17:57,900 --> 01:18:00,360 And this phi. 1331 01:18:00,360 --> 01:18:02,430 And there's going to be a calibration slide. 1332 01:18:02,430 --> 01:18:06,460 They're going to have to choose all of these and others. 1333 01:18:06,460 --> 01:18:12,090 So here's a picture like the one I showed. 1334 01:18:12,090 --> 01:18:14,100 From the point of a person, you start off 1335 01:18:14,100 --> 01:18:17,610 with a certain amount of wealth from previous period, 1336 01:18:17,610 --> 01:18:20,105 and then you get a draw of your talent, which 1337 01:18:20,105 --> 01:18:21,480 can vary depending on whether you 1338 01:18:21,480 --> 01:18:24,870 go into the small or the large sector. 1339 01:18:24,870 --> 01:18:30,095 You could be a worker and just work and produce and consume. 1340 01:18:32,600 --> 01:18:36,530 Or you could go into one of these sector J's and produce. 1341 01:18:36,530 --> 01:18:37,220 This is work. 1342 01:18:37,220 --> 01:18:38,630 This is produce and consume. 1343 01:18:38,630 --> 01:18:42,170 Now this gamma, this is a bit more realistic version 1344 01:18:42,170 --> 01:18:47,790 of talent or productivity. 1345 01:18:47,790 --> 01:18:51,450 This z that you have at the beginning 1346 01:18:51,450 --> 01:18:55,720 is likely to be the same at the end. 1347 01:18:55,720 --> 01:19:01,650 But every so often, you lose your ability, 1348 01:19:01,650 --> 01:19:06,120 or this is a stand-in for sectors that are changing 1349 01:19:06,120 --> 01:19:07,995 in an unmodeled way here. 1350 01:19:07,995 --> 01:19:09,870 In fact, they're going to draw this parameter 1351 01:19:09,870 --> 01:19:15,440 from exits of firms in the US. 1352 01:19:15,440 --> 01:19:17,990 Bad stuff happens, you have to go out of business, 1353 01:19:17,990 --> 01:19:19,276 technologically. 1354 01:19:24,060 --> 01:19:28,100 So you have these value functions. 1355 01:19:28,100 --> 01:19:31,350 They're going to have to iterate. 1356 01:19:31,350 --> 01:19:34,440 You have ability and wealth today, 1357 01:19:34,440 --> 01:19:37,860 and you're going to try to maximize wealth, 1358 01:19:37,860 --> 01:19:40,940 your value for wealth and ability 1359 01:19:40,940 --> 01:19:45,390 tomorrow with your contemporaneous utility, 1360 01:19:45,390 --> 01:19:46,150 the choices. 1361 01:19:46,150 --> 01:19:49,380 This is classic, very limited market-type stuff. 1362 01:19:49,380 --> 01:19:51,750 You basically [INAUDIBLE] or save. 1363 01:19:51,750 --> 01:19:55,490 Maybe you could borrow if this goes negative. 1364 01:19:55,490 --> 01:19:58,770 You've got uses and sources of resources. 1365 01:19:58,770 --> 01:20:02,700 You've got your wealth with interest today, and the wage 1366 01:20:02,700 --> 01:20:03,900 if you're a worker. 1367 01:20:03,900 --> 01:20:07,010 And you could either eat it or save it. 1368 01:20:07,010 --> 01:20:10,880 Now this p is because capital is denominated in units 1369 01:20:10,880 --> 01:20:12,780 of the manufacturing good. 1370 01:20:12,780 --> 01:20:15,350 So we've got a price, not just a wage and an interest rate, 1371 01:20:15,350 --> 01:20:16,490 to worry about. 1372 01:20:16,490 --> 01:20:22,590 If you're an entrepreneur, it looks a lot more complicated. 1373 01:20:22,590 --> 01:20:26,270 But actually, this is the key financing constraint. 1374 01:20:26,270 --> 01:20:30,710 So your capital can be higher than your wealth. 1375 01:20:30,710 --> 01:20:36,510 But it's limited, and I'll show you where it's coming from. 1376 01:20:36,510 --> 01:20:39,890 So otherwise, this is like that LEB thing. 1377 01:20:39,890 --> 01:20:41,570 You've got profits, and then if you're 1378 01:20:41,570 --> 01:20:44,360 in the intermediated sector, you have this return on wealth. 1379 01:20:46,920 --> 01:20:52,170 Basically they could have done it many, many ways. 1380 01:20:52,170 --> 01:20:56,250 They just basically say, you can run off with the capital. 1381 01:20:56,250 --> 01:20:57,960 So the idea is you borrow. 1382 01:20:57,960 --> 01:21:00,510 You don't have to repay, but you pay for it. 1383 01:21:00,510 --> 01:21:02,970 You lose the collateral, which is the wealth you had 1384 01:21:02,970 --> 01:21:04,980 squirreled away in the bank. 1385 01:21:04,980 --> 01:21:11,380 And then from then on, you're on your own. 1386 01:21:11,380 --> 01:21:14,710 So they get of this autarchy thing, 1387 01:21:14,710 --> 01:21:19,900 and the borrowing size is limited by the temptation 1388 01:21:19,900 --> 01:21:23,000 to run off into autarchy, despite the loss of wealth, 1389 01:21:23,000 --> 01:21:25,850 because you get to keep that k. 1390 01:21:25,850 --> 01:21:28,490 But you do have to pay workers, for some reason. 1391 01:21:28,490 --> 01:21:30,560 Never quite sure why they did that. 1392 01:21:33,560 --> 01:21:35,100 OK. 1393 01:21:35,100 --> 01:21:39,180 So then what they have to do is compute 1394 01:21:39,180 --> 01:21:45,217 the stationary equilibrium, which is basically a mapping. 1395 01:21:45,217 --> 01:21:47,550 You've got all these many people with different wealths, 1396 01:21:47,550 --> 01:21:49,890 all these many people with different talents, 1397 01:21:49,890 --> 01:21:53,430 and you get this mapping till it settles down. 1398 01:21:53,430 --> 01:21:55,800 That's what a stationary steady state 1399 01:21:55,800 --> 01:22:00,170 means, that those histograms settle down. 1400 01:22:00,170 --> 01:22:03,160 And at the steady state, you'll get interest rates and so on. 1401 01:22:06,940 --> 01:22:08,800 So they start grabbing parameters 1402 01:22:08,800 --> 01:22:11,320 to match firm size distributions. 1403 01:22:11,320 --> 01:22:14,250 They aggregate up. 1404 01:22:14,250 --> 01:22:18,570 They have the lazy entrepreneurs who 1405 01:22:18,570 --> 01:22:21,930 aren't so talented versus the poor guys who are talented 1406 01:22:21,930 --> 01:22:23,820 but have very low wealth. 1407 01:22:23,820 --> 01:22:26,160 And that's what's creating the credit friction. 1408 01:22:26,160 --> 01:22:29,320 We've talked about that. 1409 01:22:29,320 --> 01:22:32,850 And then they try to match. 1410 01:22:32,850 --> 01:22:39,310 Now again, is this bragging rights, or is it a sad story? 1411 01:22:39,310 --> 01:22:41,710 So you can decide here. 1412 01:22:41,710 --> 01:22:44,950 Basically, these diamonds, they're 1413 01:22:44,950 --> 01:22:50,380 calibrated predictions of capital output, TFP, and worker 1414 01:22:50,380 --> 01:22:52,660 as you vary across countries. 1415 01:22:52,660 --> 01:22:59,010 And the data are all down here, in many of these instances. 1416 01:22:59,010 --> 01:23:00,810 So clearly a lot more to do. 1417 01:23:00,810 --> 01:23:04,270 But up to the point that they wrote this, 1418 01:23:04,270 --> 01:23:06,440 no one had done anything like this before. 1419 01:23:06,440 --> 01:23:09,250 So I think I'll just skip the rest 1420 01:23:09,250 --> 01:23:11,280 because I want to end on time. 1421 01:23:11,280 --> 01:23:13,440 So thank you.