TY - BOOK AU - Ravindran, Kannoo TI - The Mathematics of Financial Models: Solving Real World Problems with Quantitative Methods SN - 9781118004616 U1 - 332.015195 PY - 2014/// CY - New Jersey PB - John Wiley & Sons Inc KW - Business Mathematics KW - Finance - Mathematical Models N1 - Machine generated contents note: ch. 1 Setting the Stage Why Is This Book Different? Road Map of the Book References ch. 2 Building Zero Curves Market Instruments Linear Interpolation Cubic Splining Appendix: Finding Swap Rates Using a Floating Coupon Bond Approach ch. 3 Valuing Vanilla Options Black-Scholes Formulae Adaptations of the Black-Scholes Formulae Limitations of the Black-Scholes Formulae Application in Currency Risk Management Appendix ch. 4 Simulations Uniform Number Generation Non-Uniform Number Generation Applications of Simulations Variance Reduction Techniques ch. 5 Valuing Exotic Options Valuing Path-Independent, European-Style Options on a Single Variable Valuing Path-Dependent, European-Style Options on a Single Variable Valuing Path-Independent, European-Style Options on Two Variables Contents note continued: Valuing Path-Dependent, European-Style Options on Multiple Variables ch. 6 Estimating Model Parameters Calibration of Parameters in the Black-Scholes Model Using Implied Black-Scholes Volatility Surface and Zero Rate Term Structure to Value Options Using Volatility Surface Calibration of Interest Rate Option Model Parameters Statistical Estimation ch. 7 The Effectiveness of Hedging Strategies Delta Hedging Assumptions Underlying Delta Hedging Beyond Delta Hedging Testing Hedging Strategies Analysis Associated with the Hedging of a European-Style Vanilla Put Option ch. 8 Valuing Variable Annuity Guarantees Basic GMDB Death Benefit Riders Other Details Associated with GMDB Products Improving Modeling Assumptions Living Benefit Riders ch. 9 Real Options Surrendering a GMAB Rider ER -