The mathematics of financial models solving real-world problems with quantitative methods
Understanding the math behind the money Finance professionals are routinely faced with a variety of different challenges from clients across a number of industries. From projecting cash flows to modeling future pension benefits to pricing derivatives for hedging to valuing real options, analysts reg...
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| Format: | eBook |
| Language: | English |
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Hoboken, New Jersey
John Wiley & Sons
2014
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| Collection: | O'Reilly - Collection details see MPG.ReNa |
Table of Contents:
- Valuing Path-Dependent, European-Style Options on a Single VariableAveraging Options; Installment Options; Valuing path-Independent, European-Style Options on Two Variables; Exchange Options; Spread Options; Valuing Path-Dependent, European-Style Options on Multiple Variables; Averaging Spread Options; Lookback Basket Options; References; 6 Estimating Model Parameters; Calibration of Parameters in the Black-Scholes Model; Inferring qt, T; Using Implied Black-Scholes Volatility Surface and Zero Rate Term Structure to Value Options; Using Volatility Term Structure; Using Volatility Surface
- Getting the Implied Stock Prices When i = 0Getting the Implied Probabilities When i = 0; Getting the Implied Stock Prices When i = 1; Getting the Implied Probabilities When i = 1; Calibration of Interest Rate Option Model Parameters; Statistical Estimation; Using Historical Implied Volatilities; Using Historical Underlying Values; References; 7 The Effectiveness of Hedging Strategies; Delta Hedging; Hedging the Sale of a Vanilla European-Style Call Option on a Nondividend-Paying Stock; Hedging the Sale of a Vanilla European-Style Call Option on a Dividend-Paying Stock
- The Mathematics of Financial Models; Contents; Preface; Acknowledgments; 1 Setting the Stage; Why Is This Book Different?; Road Map of the Book; References; 2 Building Zero Curves; Market Instruments; Treasury Bills; Treasury Notes; Treasury Bonds; Eurodollar Futures; Swaps; Linear Interpolation; Step 1: Convert Eurodollar Futures Prices to Forward Rates; Step 2: Calibrate Zero Rates for First Year; Step 3: Calibrate to Obtain Zero Rates for First Two Years; Step 4: Calibrate to Obtain Zero Rates for First Five Years; Cubic Splining; Splining over One Time Interval
- Includes bibliographical references and index
- Splining over Two Time IntervalsSplining over Four Time Intervals; Splining over All Time Intervals; Appendix: Finding Swap Rates Using A Floating Coupon Bond Approach; References; 3 Valuing Vanilla Options; Black-Scholes Formulae; Adaptations of the Black-Scholes Formulae; Pricing Options on Dividend-Paying Stocks; Pricing Options on Futures Contracts; Pricing Options on Forward Contracts; Limitations of the Black-Scholes Formulae; Application in Currency Risk Management; Risk-Management Strategies-Pros and Cons; Incorporating Views into Strategies; Appendix; Finding a Forward Bond Yield