Produktbild: How to Calculate Options Prices and Their Greeks

How to Calculate Options Prices and Their Greeks Exploring the Black Scholes Model from Delta to Vega

Aus der Reihe Wiley Finance Series

Fr. 79.90

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Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

02.06.2015

Verlag

John Wiley & Sons Inc

Seitenzahl

224

Maße (L/B/H)

23.5/15.7/1.7 cm

Gewicht

454 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-1-119-01162-0

Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

02.06.2015

Verlag

John Wiley & Sons Inc

Seitenzahl

224

Maße (L/B/H)

23.5/15.7/1.7 cm

Gewicht

454 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-1-119-01162-0

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  • Produktbild: How to Calculate Options Prices and Their Greeks
  • Preface ix

    Chapter 1 Introduction 1

    Chapter 2 The Normal Probability Distribution 7

    Standard deviation in a financial market 8

    The impact of volatility and time on the standard deviation 8

    Chapter 3 Volatility 11

    The probability distribution of the value of a Future after one year of trading 11

    Normal distribution versus log-normal distribution 11

    Calculating the annualised volatility traditionally 15

    Calculating the annualised volatility without mu 17

    Calculating the annualised volatility applying the 16% rule 19

    Variation in trading days 20

    Approach towards intraday volatility 20

    Historical versus implied volatility 23

    Chapter 4 Put Call Parity 25

    Synthetically creating a Future long position, the reversal 29

    Synthetically creating a Future short position, the conversion 30

    Synthetic options 31

    Covered call writing 34

    Short note on interest rates 35

    Chapter 5 Delta Delta 37

    Change of option value through the delta 38

    Dynamic delta 40

    Delta at different maturities 41

    Delta at different volatilities 44

    20-80 Delta region 46

    Delta per strike 46

    Dynamic delta hedging 47

    The at the money delta 50

    Delta changes in time 53

    Chapter 6 Pricing 55

    Calculating the at the money straddle using

    Black and Scholes formula 57

    Determining the value of an at the money straddle 59

    Chapter 7 Delta II 61

    Determining the boundaries of the delta 61

    Valuation of the at the money delta 64

    Delta distribution in relation to the at the money straddle 65

    Application of the delta approach, determining the delta of a call spread 68

    Chapter 8 Gamma 71

    The aggregate gamma for a portfolio of options 73

    The delta change of an option 75

    The gamma is not a constant 76

    Long term gamma example 77

    Short term gamma example 77

    Very short term gamma example 78

    Determining the boundaries of gamma 79

    Determining the gamma value of an at the money straddle 80

    Gamma in relation to time to maturity,

    volatility and the underlying level 82

    Practical example 85

    Hedging the gamma 87

    Determining the gamma of out of the money options 89

    Derivatives of the gamma 91

    Chapter 9 Vega 93

    Different maturities will display different volatility regime changes 95

    Determining the vega value of at the money options 96

    Vega of at the money options compared to volatility 97

    Vega of at the money options compared to time to maturity 99

    Vega of at the money options compared to the underlying level 99

    Vega on a 3-dimensional scale, vega vs maturity and vega vs volatility 101

    Determining the boundaries of vega 102

    Comparing the boundaries of vega with the boundaries of gamma 104

    Determining vega values of out of the money options 105

    Derivatives of the vega 108

    Vomma 108

    Chapter 10 Theta 111

    A practical example 112

    Theta in relation to volatility 114

    Theta in relation to time to maturity 115

    Theta of at the money options in relation to the underlying level 117

    Determining the boundaries of theta 118

    The gamma theta relationship alpha 120

    Theta on a 3-dimensional scale, theta vs maturity and theta vs volatility 125

    Determining the theta value of an at the money straddle 126

    Determining theta values of out of the money options 127

    Chapter 11 Skew 129

    Volatility smiles with different times to maturity 131

    Sticky at the money volatility 133

    Chapter 12 Spreads 135

    Call spread (horizontal) 135

    Put spread (horizontal) 137

    Boxes 138

    Applying boxes in the real market 139

    The Greeks for horizontal spreads 140

    Time spread 146

    Approximation of the value of at the money spreads 148

    Ratio spread 149

    Chapter 13 Butterfly 155

    Put call parity 158

    Distribution of the butterfly 159

    Boundaries of the butterfly 161

    Method for estimating at the money butterfly values 163

    Estimating out of the money butterfly values 164

    Butterfly in relation to volatility 165

    Butterfly in relation to time to maturity 166

    Butterfly as a strategic play 166

    The Greeks of a butterfly 167

    Straddle-strangle or the "Iron fly" 171

    Chapter 14 Strategies 173

    Call 173

    Put 174

    Call spread 175

    Ratio spread 176

    Straddle 177

    Strangle 178

    Collar (risk reversal, fence) 178

    Gamma portfolio 179

    Gamma hedging strategies based on Monte Carlo scenarios 180

    Setting up a gamma position on the back of prevailing kurtosis in the market 190

    Excess kurtosis 191

    Benefitting from a platykurtic environment 192

    The mesokurtic market 193

    The leptokurtic market 193

    Transition from a platykurtic environment towards a leptokurtic environment 194

    Wrong hedging strategy: Killergamma 195

    Vega convexity/Vomma 196

    Vega convexity in relation to time/Veta 202

    Index 205