This book provides a comprehensive overview of the mathematics of computational finance for academics in financial mathematics. Enabled by Mathematica, the approach is applied, integrating and giving a fresh perspective to many mathematical disciplines including probability, ordinary, stochastic, and partial differential equations; mathematical statistics; and calculus of variations. Three kinds of solution methods are emphasized: symbolic, numerical, and Monte Carlo.
Introduction | Cash Account Evolution |Stock Price Evolution | European Style Stock Options | Stock Market Statistics | Implied Volatility for European Options | American Style Stock Options | Optimal Portfolio Rules | Advanced Trading Strategies
Economics and Finance