Produktbild: An Introduction to Equity Derivatives

An Introduction to Equity Derivatives Theory and Practice

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Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Verlag

John Wiley & Sons Inc

Seitenzahl

232

Maße (L/B/H)

2.4/17.4/24.9 cm

Gewicht

598 g

Auflage

2. Auflage

Sprache

Englisch

ISBN

978-1-119-96185-7

Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Verlag

John Wiley & Sons Inc

Seitenzahl

232

Maße (L/B/H)

2.4/17.4/24.9 cm

Gewicht

598 g

Auflage

2. Auflage

Sprache

Englisch

ISBN

978-1-119-96185-7

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  • Produktbild: An Introduction to Equity Derivatives
  • Foreword xi

    Preface xiii

    Addendum: A Path to Economic Renaissance xv

    PART I BUILDING BLOCKS

    1 Interest Rate 3

    1-1 Measuring Time 3

    1-2 Interest Rate 4

    1-2.1 Gross Interest Rate 4

    1-2.2 Compounding. Compound Interest Rate 5

    1-2.3 Conversion Formula 6

    1-2.4 Annualization 6

    1-3 Discounting 7

    1-3.1 Present Value 7

    1-3.2 Discount Rate and Required Return 8

    1-4 Problems 8

    2 Classical Investment Rules 11

    2-1 Rate of Return. Time of Return 11

    2-1.1 Gross Rate of Return (ROR) 11

    2-1.2 Time of Return (TOR) 11

    2-2 Net Present Value (NPV) 12

    2-3 Internal Rate of Return (IRR) 13

    2-4 Other Investment Rules 14

    2-5 Further Reading 15

    2-6 Problems 15

    3 Fixed Income 19

    3-1 Financial Markets 19

    3-1.1 Securities and Portfolios 19

    3-1.2 Value and Price 19

    3-1.3 Financial Markets and Short-selling 20

    3-1.4 Arbitrage 21

    3-1.5 Price of a Portfolio 22

    3-2 Bonds 23

    3-2.1 Treasury Bonds 23

    3-2.2 Zero-Coupon Bonds 23

    3-2.3 Bond Markets 23

    3-3 Yield 24

    3-3.1 Yield to Maturity 24

    3-3.2 Yield Curve 24

    3-3.3 Approximate Valuation 26

    3-4 Zero-Coupon Yield Curve. Arbitrage Price 27

    3-4.1 Zero-Coupon Rate Curve 27

    3-4.2 Arbitrage Price of a Bond 28

    3-4.3 Zero-Coupon Rate Calculation by Inference: the 'Bootstrapping' Method 29
    3-5 Further Reading 30

    3-6 Problems 30

    4 Portfolio Theory 35

    4-1 Risk and Return of an Asset 35

    4-1.1 Average Return and Volatility 35

    4-1.2 Risk-free Asset. Sharpe Ratio 37

    4-2 Risk and Return of a Portfolio 38

    4-2.1 Portfolio Valuation 38

    4-2.2 Return of a Portfolio 38

    4-2.3 Volatility of a Portfolio 39

    4-3 Gains of Diversification. Portfolio Optimization 41

    4-4 Capital Asset Pricing Model 43

    4-5 Further Reading 44

    4-6 Problems 44

    PART II FIRST STEPS IN EQUITY DERIVATIVES

    5 Equity Derivatives 49

    5-1 Introduction 49

    5-2 Forward Contracts 50

    5-2.1 Payoff 51

    5-2.2 Arbitrage Price 51

    5-2.3 Forward Price 53

    5-2.4 Impact of Dividends 53

    5-2.4.1 Single Cash Dividend 54

    5-2.4.2 Single Proportional Dividend 55

    5-3 'Plain Vanilla' Options 55

    5-3.1 Payoff 56

    5-3.2 Option Value 57

    5-3.3 Put-Call Parity 57

    5-3.4 Option Strategies 58

    5-3.4.1 Leverage 58

    5-3.4.2 Covered Call 59

    5-3.4.3 Straddle 60

    5-3.4.4 Butterfly 61

    5-4 Further Reading 61

    5-5 Problems 61

    6 The Binomial Model 65

    6-1 One-Step Binomial Model 65

    6-1.1 An Example 65

    6-1.2 General Formulas 67

    6-2 Multi-Step Binomial Trees 67

    6-3 Binomial Valuation Algorithm 69

    6-4 Further Reading 70

    6-5 Problems 70

    7 The Lognormal Model 75

    7-1 Fair Value 75

    7-1.1 Probability Distribution of ST 75

    7-1.2 Discount Rate 76

    7-2 Closed-Form Formulas for European Options 76

    7-3 Monte-Carlo Method 78

    7-4 Further Reading 78

    7-5 Problems 78

    8 Dynamic Hedging 83

    8-1 Hedging Option Risks 83

    8-1.1 Delta-hedging 84

    8-1.2 Other Risk Parameters: the 'Greeks' 85

    8-1.3 Hedging the Greeks 86

    8-2 The P&L of Delta-hedged Options 86

    8-2.1 Gamma 86

    8-2.2 Theta 87

    8-2.3 Option Trading P&L Proxy 88

    8-3 Further Reading 89

    8-4 Problems 89

    PART III ADVANCED MODELS AND TECHNIQUES

    9 Models for Asset Prices in Continuous Time 95

    9-1 Continuously Compounded Interest Rate 95

    9-1.1 Fractional Interest Rate 95
    9-1.2 Continuous Interest Rate 96

    9-2 Introduction to Models for the Behavior of Asset Prices in Continuous Time 96

    9-3 Introduction to Stochastic Processes 97

    9-3.1 Standard Brownian Motion 98

    9-3.2 Generalized Brownian Motion 99

    9-3.3 Geometric Brownian Motion 100

    9-4 Introduction to Stochastic Calculus 101

    9-4.1 Ito Process 101

    9-4.2 The Ito-Doeblin Theorem 101

    9-4.3 Heuristic Proof of the Ito-Doeblin Theorem 102

    9-5 Further Reading 103

    9-6 Problems 103

    10 The Black-Scholes Model 109

    10-1 The Black-Scholes Partial Differential Equation 109

    10-1.1 Ito-Doeblin Theorem for the