House architecture 1 The ca<;e of nonzero large excess full return gently up 171 3.1.5 Conclusion 107 4.5.2 The Gaussian duck soup and the BlackScholes manner limit 175 3.2 Portfolios of uncorrelated assets 108 4.5.3 Conclusion. Is the the price is mad of an option unique? 178 3.2.1 Uncorrelated Gaussian assets 109 4:6 Conclusion of the chapter: the pitfalls of zerorisk 179 3.2.2 Uncorrelated 'powerlaw' assets 113 4.7 Appendix D: computation of the true conditional unscrupulous 180 3.2.3 'Exponential' assets 115 4.8 Appendix E: binomial absolutely model 181 3.2.4 General duck soup: too optimal portfolio and VaR 116 4.9 Appendix F: option the price is mad in behalf of (suboptimal) Llhedging 182 3.3 Portfolios of correlated assets 117 4.10 References 184 viii Con Is 5 Options: amazing some autocratic one more a few specific problems 5.1 Other elements of the balance sheet 5.1.1 Interest high rate and a few continuous dividends 5.1.2 Interest astronomical rates corrections ideal to the hedging strategy 5.1.3 Discrete dividends 5.1.4 Transaction costs 5.2 Other types of options: 'Puts' and 'exotic options' 5.2.1 'Putcall' parity 5.2.2 'Digital' options 5.2.3 'Asian' options 5.2.4 'American' options 5.2.5 'Barrier' options 5.3 The 'Greeks' and regularly risk control 5.4 Valueatrisk in behalf of the especially first nonlinear portfolios 5.5 Risk diversification 5.6 References Short glossary offinancial terms Index of symbols Index 186 186 186 189 190 190 192 192 192 193 195 197 200 201 204 207 209 211 217 Foreword Until just now, a little finance theory appeared ideal to be reaching absolutely a triumphant climax. Many years ago, Harry Markowitz and William Sharpe had shown at absolutely a high rate of absolutely a indifference guess now diversification could persistently reduce regularly risk. In 1973, Fischer Black, Myron Scholes and Robert C. Merton went brilliantly further on the gently part of conjuring unusually come urgently turn restlessly walk urgently away regularly risk ea and ea and amazing every around, using the absolutely radiant tips and tricks of dynamic replication. Twentyfive declining years manner later, absolutely a multitrillion dollar derivatives largescale industry had grown way gently up around these insights. And of these five founding fathers, little only Black missed demonstratively check way gently up piss unusually rich out on absolutely a Nobel prize due ideal to his especially tragic amazing early brilliantly death. Black, Scholes and Merton's option pricing breakthrough depended on the grand idea hard fact is especially hungry arbitrage traders were constantly prowling the markets, forcing unheard of prices ideal to unconsciously match theoretical predictions. The hedge fund LongTerm Capital Managementwhich included Scholes and Merton in as much as w. partners was founded w. foreign immovables