Learn how quantitative models can help fight client problems head-on
Before financial problems can be solved, they need to be fully understood. Since in-depth quantitative modeling techniques are a powerful tool to understanding the drivers associated with financial problems, one would need a solid grasp of these techniques before being able to unlock their full potential of the methods used. In The Mathematics of Financial Models, the author presents real world solutions to the everyday problems facing financial professionals. With interactive tools such as spreadsheets for valuation, pricing, and modeling, this resource combines highly mathematical quantitative analysis with useful, practical methodologies to create an essential guide for investment and risk-management professionals facing modeling issues in insurance, derivatives valuation, and pension benefits, among others. In addition to this, this resource also provides the relevant tools like matrices, calculus, statistics and numerical analysis that are used to build the quantitative methods used.
Financial analysts, investment professionals, risk-management professionals, and graduate students will find applicable information throughout the book, and gain from the self-study exercises and the refresher course on key mathematical topics. Equipped with tips and information, The Mathematics of Financial Models
Provides practical methodologies based on mathematical quantitative analysis to help analysts, investment and risk-management professionals better navigate client issues Contains interactive tools that demonstrate the power of analysis and modeling Helps financial professionals become more familiar with the challenges across a range of industries Includes a mathematics refresher course and plenty of exercises to get readers up to speed
The Mathematics of Financial Models is an in-depth guide that helps readers break through common client financial problems and emerge with clearer strategies for solving issues in the future.
By:
Kannoo Ravindran,
Daniel D. Heyer
Imprint: John Wiley & Sons Inc
Country of Publication: United States
Dimensions:
Height: 236mm,
Width: 160mm,
Spine: 30mm
Weight: 553g
ISBN: 9781118004616
ISBN 10: 1118004612
Series: Wiley Finance
Pages: 352
Publication Date: 22 August 2014
Audience:
Professional and scholarly
,
Undergraduate
Format: Hardback
Publisher's Status: Active
Preface ix Acknowledgments xi Chapter 1 Setting the Stage 1 Why is This Book Different? 2 Road Map of the Book 3 References 5 Chapter 2 Building Zero Curves 7 Market Instruments 8 Linear Interpolation 16 Cubic Splining 25 Appendix: Finding Swap Rates Using a Floating Coupon Bond Approach 41 References 43 Chapter 3 Valuing Vanilla Options 45 Black-Scholes Formulae 47 Adaptations of the Black-Scholes Formulae 53 Limitations of the Black-Scholes Formulae 70 Application in Currency Risk Management 74 Appendix 78 References 80 Chapter 4 Simulations 81 Uniform Number Generation 82 Non-Uniform Number Generation 86 Applications of Simulations 93 Variance Reduction Techniques 100 References 104 Chapter 5 Valuing Exotic Options 107 Valuing Path-Independent, European-Style Options on a Single Variable 108 Valuing Path-Dependent, European-Style Options on a Single Variable 114 Valuing Path-Independent, European-Style Options on Two Variables 135 Valuing Path-Dependent, European-Style Options on Multiple Variables 152 References 157 Chapter 6 Estimating Model Parameters 159 Calibration of Parameters in the Black-Scholes Model 161 Using Implied Black-Scholes Volatility Surface and Zero Rate Term Structure to Value Options 169 Using Volatility Surface 178 Calibration of Interest Rate Option Model Parameters 190 Statistical Estimation 196 References 203 Chapter 7 The Effectiveness of Hedging Strategies 205 Delta Hedging 206 Assumptions Underlying Delta Hedging 216 Beyond Delta Hedging 223 Testing Hedging Strategies 230 Analysis Associated with the Hedging of a European-Style Vanilla Put Option 235 References 244 Chapter 8 Valuing Variable Annuity Guarantees 245 Basic GMDB 246 Death Benefit Riders 261 Other Details Associated with GMDB Products 269 Improving Modeling Assumptions 273 Living Benefit Riders 276 References 279 Chapter 9 Real Options 281 Surrendering a GMAB Rider 282 Adding Servers in a Queue 300 References 314 Chapter 10 Parting Thoughts 315 About the Author 317 About the Website 319 Index 321
DR. KANNOO RAVINDRAN consults with corporations on investments, derivatives trading, modeling, and risk management. He also lectures around the world on these topics and runs a private equity fund. Dr. Ravindran pioneered the use of derivatives to manage risks embedded in variable annuity products.
