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arxiv: cond-mat/9509095 · v2 · submitted 1995-09-15 · ❄️ cond-mat

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Real-world options: smile and residual risk

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classification ❄️ cond-mat
keywords hedgingresidualrisksmileaddressarbitrageassociateddesigned
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We present a theory of option pricing and hedging, designed to address non-perfect arbitrage, market friction and the presence of `fat' tails. An implied volatility `smile' is predicted. We give precise estimates of the residual risk associated with optimal (but imperfect) hedging.

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