18.642 | Fall 2024 | Undergraduate

Topics in Mathematics with Applications in Finance

Week 15

Lecture 26

Lecture 26: Final Paper Student Presentations.     
     Note: The final student presentations are not available to OCW learners

Final Paper Topics

  • The Effect of Credit Expansion on Land Prices 
  • Effects of Presidential Elections on Market Volatility 
  • Quantitative Methods in Sports Betting: Relative Value Binary Options 
  • Stochastic Volatility Modeling Using SABR 
  • A Comparative Analysis of Option Pricing Approaches and Practical Trading Strategies 
  • Portfolio Investments for NASA Technology Projects 
  • Methods of Portfolio Weight Allocation: From Mean-Variance Optimization to Black-Litterman Model 
  • Game Theory in Financial Markets 
  • Markov Chains and Gambler’s Ruin 
  • Stochastic Volatility Models: From Black-Scholes to Heston to SABR Models 
  • Volatility Forecasting with Volatility Surface 
  • Advancements in Pricing and Trading Strategies Using Artificial Intelligence 
  • Momentum Effects in Equity Markets: An Empirical Analysis from Monthly to Intra-Day Frequencies 
  • Interest Rate Modeling 
  • Assessing the Performance and Volatility of DEI-Focused ETFs: A Comparative Analysis Against Index Funds
  • Mathematical Foundations of Pairs Trading 
  • Predicting Daily Volume of S&P 500 stocks 
  • Exploring Different Analytical Call Option Pricing Methods for Black-Scholes Model and Jump Diffusion Model 
  • Cryptocurrency Volatility and Price Dynamics: A Probabilistic Modeling Approach 
  • A Comparative Study of Black-Scholes and Monte Carlo Methods for Option Pricing 
  • Predicting Volatility in Options Markets Using LSTM Networks 
  • How Do Insurance Companies Make Money? 
  • The Linear Algebra of Principal Component Analysis and its Applications in Finance 
  • Monte Carlo Simulation for Pricing Simple Options Under Black-Scholes Dynamics and Jump-Diffusion Process 
  • The Forex Market 
  • Martingale Theory in Gambling: Returns and Paradoxes 
  • The Wolf of Wall Street: The Impact of Cinematography on the Stock Market 
  • The Greeks: Derivations and Implications in Risk Management and Trading
  • Extreme Risk in Financial Markets: Modeling Tail Dependencies and Hedging Solutions 
  • The Pandemic’s Impact on the Housing Market in New York Counties 
  • Estimating Asset Probability Distributions Using Market Data 
  • Reinforcement Learning Techniques for Gamma and Vega Hedging 
  • Volume Prediction 
  • Sentiments and Option Pricing

Course Info

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As Taught In
Fall 2024
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