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Table of Contents

Оглавление

Cover

Title Page

Copyright

Dedication

Preface BACKGROUND BOOK STRUCTURE

Acknowledgments

About the Author

Acronyms

CHAPTER 1: Finance 1.1 FOLLOW THE MONEY 1.2 FINANCIAL MARKETS AND PARTICIPANTS 1.3 QUANTITATIVE FINANCE

10  CHAPTER 2: Rates, Yields, Bond Math 2.1 INTEREST RATES 2.2 ARBITRAGE, LAW OF ONE PRICE 2.3 PRICE‐YIELD FORMULA 2.4 SOLVING FOR YIELD: ROOT SEARCH 2.5 PRICE RISK 2.6 LEVEL PAY LOAN 2.7 YIELD CURVE EXERCISES PYTHON PROJECTS

11  CHAPTER 3: Investment Theory 3.1 UTILITY THEORY 3.2 PORTFOLIO SELECTION 3.3 CAPITAL ASSET PRICING MODEL 3.4 FACTORS 3.5 MEAN‐VARIANCE EFFICIENCY AND UTILITY 3.6 INVESTMENTS IN PRACTICE REFERENCES EXERCISES PYTHON PROJECTS

12  CHAPTER 4: Forwards and Futures 4.1 FORWARDS 4.2 FUTURES CONTRACTS 4.3 STOCK DIVIDENDS 4.4 FORWARD FOREIGN CURRENCY EXCHANGE RATE 4.5 FORWARD INTEREST RATES REFERENCES EXERCISES

13  CHAPTER 5: Risk‐Neutral Valuation 5.1 CONTINGENT CLAIMS 5.2 BINOMIAL MODEL 5.3 FROM ONE TIME‐STEP TO TWO 5.4 RELATIVE PRICES REFERENCES EXERCISES

14  CHAPTER 6: Option Pricing 6.1 RANDOM WALK AND BROWNIAN MOTION 6.2 BLACK‐SCHOLES‐MERTON CALL FORMULA 6.3 IMPLIED VOLATILITY 6.4 GREEKS 6.5 DIFFUSIONS, ITO 6.6 CRR BINOMIAL MODEL 6.7 AMERICAN‐STYLE OPTIONS 6.8 PATH‐DEPENDENT OPTIONS 6.9 EUROPEAN OPTIONS IN PRACTICE REFERENCES EXERCISES PYTHON PROJECTS

15  CHAPTER 7: Interest Rate Derivatives 7.1 TERM STRUCTURE OF INTEREST RATES 7.2 INTEREST RATE SWAPS 7.3 INTEREST RATE DERIVATIVES 7.4 INTEREST RATE MODELS 7.5 BERMUDAN SWAPTIONS 7.6 TERM STRUCTURE MODELS 7.7 INTEREST RATE DERIVATIVES IN PRACTICE REFERENCES EXERCISES

16  APPENDIX A: Math and Probability Review A.1 CALCULUS AND DIFFERENTIATION RULES A.2 PROBABILITY REVIEW A.3 LINEAR REGRESSION ANALYSIS

17  APPENDIX B: Useful Excel Functions

18  About the Companion Website

19  Index

20  End User License Agreement

Mathematical Techniques in Finance

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