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Course Description

What is Quantitative Finance? Why quantitative? Increasingly, mathematical and statistical methods are being applied by hedge funds and asset managers to generate superior returns while minimizing their risk exposures. Notable examples include the Renaissance Technologies' Medallion Fund in the U.S, and Quantedge Capital in Singapore. Strong quantitative skills are the foundation for these hedge funds. They are extremely good at applying Quantitative Finance models to extract critical investment and trading signals from big data with Artificial Intelligence (AI). For day-to-day risk management in any bank these days, quantitative skills are also indispensable in quantifying market risks, credit risks, liquidity risks, interest rate fluctuations, funding costs, capital adequacy, and the list goes on.

This 101 course introduces you to the essentials of Quantitative Finance models, starting with three basic principles to look at risk and return. It's going to be cool and fun to see how the math you have learnt so far (Pre-U Math) can be applied to solve problems faced by quantitative strategists and risk analysts.

Beamer Slides

Financials

  • Module 1: Introduction       Math Formulas     The Life of Pi
  • Module 2: Four Major Asset Classes     Algebra     Kelly's Criterion     Integration
  • Module 3: Principles of Quantitative Finance     CAPM
  • Module 4: Yield Curve Modeling   L'Hôpital's Rule   Taylor's Expansion A B   Partial Derivatives
  • Derivatives with Linear Payoff

  • Module 5: Forwards, Futures, and Swaps
  • Derivatives with Nonlinear Payoff

  • Module 6: Options
  • Module 7: VIX     Excel demo of CBOE's method
  • Module 8: Static Replication
  • Option Pricing Mathematics

  • Module 9: Binomial Models
  • Module 10: American Options
  • Module 11: Brownian Motion
  • Module 12: Itô's Calculus

  • Course Notes and Answers to Selected Exercises
    Math Notes
    Resources