| Introduction | |
| Numerical Accuracy & Errors | |
| Core math's Classes | |
| Root Finding | |
| Interval Bisection | |
| Newton's method | |
| Statistical Classes | |
| Measures of Dispersion | |
| Application Classes | |
| Internal Rate of Return | |
| Deriving yield approximations- Bisection method | |
| Deriving yield approximations | |
| the Newton-Raphson method | |
| Porfolio management. Porfolio Risk measurement | |
| Interest Rate Calculations | |
| Compounding interest | |
| Nominal and effective interest | |
| Present Value (PV) | |
| Compounding cashflows | |
| Perpetuiy and Annuity.INTERNAL RATE of RETURN | |
| Term Structures | |
| Rate Interchanges | |
| Spot Rates | |
| Deriving the Spot Curve | |
| Bonds | |
| Bonds | |
| Fixed Interest | |
| Bond Prices | |
| Static Spread | |
| Credit Spreads | |
| Bond Volatility Measures | |
| Price value of a basis point | |
| Bond Pricing Characteristics | |
| Duration | |
| Macaulay Duration | |
| Effective Duration | |
| Futures | |
| Forward & Futures Pricing | |
| Forward Price | |
| Pricing On Different Markets | |
| Stock Index | |
| Currencies | |
| Commodity Futures | |
| Options | |
| Option Types | |
| Option Specifications | |
| Pricing Specification | |
| Dividends and Stock Splits | |
| Option Quotes | |
| Margin accounts | |
| Arbitrage In Option Prices | |
| Main components of pricing | |
| Limits for pricing | |
| Early Exercise Of American Options | |
| Option Convexity | |
| Put Call Parity | |
| Strategies | |
| Hedge with a protected put | |
| Reverse protected put hedge | |
| Hedge with a covered call | |
| Reverse covered call hedge | |
| Profit Diagrams | |
| Modelling Stock Prices | |
| The Stochastic Process | |
| Random Walks | |
| Brownian Motion | |
| Wiener Process | |
| IIto Differential | |
| Lognormal Modelling Of Stock Prices | |
| Handling Empirical data | |
| Simulation with Monte Carlo | |
| The Lognormal Property | |
| Binomial Model | |
| Stock Price | |
| Cox Ross Rubinstein (CRR) Model | |
| Binomial Tree | |
| Trees For American & European Pricing | |
| Analytical Option Pricing Methods | |
| Black-Scholes-Merton | |
| PRICING with BLACK-SCHOLES | |
| Pricing without dividends | |
| Effects of Dividends | |
| Options Paying a Yield | |
| Stock Index Options | |
| Options on Futures | |
| Currency Options | |
| Analytical Approximations For American Options | |
| Roll Geske Whaley (RGW) Approximation | |
| Bjerksund and Stensland (B&S) Approximation | |
| Quadratic Approximation (Barone-Adesi Whaley derivation) | |
| Sensitivity Measures (The 'greeks') | |
| The Black-Scholes Pde | |
| Delta Sensitivity | |
| Gamma Sensitivity | |
| Theta Sensitivity | |
| Vega Sensitivity | |
| Rho Sensitivity | |
| Option Extensions | |
| Elasticity | |
| Cost of Carry | |
| Interest Rate Derivatives | |
| Market Price Of Risk | |
| Martingales | |
| Interest Rate Caps & Floors | |
| Swap Options | |
| Adjusting rates for Convexity | |
| Zero coupon Bond as the asset | |
| Valuation of Bond Options | |
| Short Rate Modelling | |
| Rendleman and Bartter | |
| The Vasicek Model | |
| Cox Ingersoll Ross (C.I.R) model | |
| Arbitrage Free Models | |
| The Ho and Lee Model | |
| Hull and White model | |
| Conditional Options | |
| Executive Stock Options | |
| Forward Start Option | |
| Indexed stock options | |
| Time Switch Option | |
| Chooser Option | |
| Simple Chooser | |
| Complex Chooser Options | |
| Options On Options | |
| Call on Call | |
| Put on Call | |
| Extendible Options | |
| Extendible Call | |
| Extendible Put | |
| Writer Extendible | |
| Rainbow Options | |
| Two Asset Correlated | |
| Exchange Assets Option | |
| American exchange option | |
| Sequential Exchange Options | |
| Complex Conditional Options | |
| Look Back Options | |
| Fixed Strike Look back call | |
| Fixed Strike Lookback Put | |
| Floating Strike Look Back Options | |
| Floating Strike Lookback Put | |
| Floating Strike Lookback Call | |
| Partial Time Fixed Strike Look Back | |
| Partial Time Fixed Strike Call | |
| Partial Time Fixed Strike Put | |
| Partial Time Floating Strike Look Back | |
| Partial Time Floating Strike Call | |
| Partial Time Floating Strike Put | |
| Min Or Max Of Two Risky Assets | |
| Minimum of Two Risky Assets | |
| Maximum of Two Risky Assets | |
| Spread Option Approximation | |
| Analytical Spread Approximation | |
| Extreme Spreads | |
| Extreme Spread | |
| Reverse Extreme Spread | |
| Value Or Nothing Options | |
| Cash-or-Nothing Option | |
| Asset-or-Nothing Option | |
| Single Barrier Type Options | |
| In Barrier Valuation | |
| Valuation with a Rebate | |
| Down and In Call valuation | |
| Up and In Call valuation | |
| Down and In Put valuation | |
| Up and In Put valuation | |
| Out Barrier Val | |
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