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Pricing and hedging derivative securities in markets with uncertain volatilities

...a model for pricing and hedging derivative securities and option portfolios in an environment where the volatility is not known precisely, but is assumed instead to lie between two extreme values $ \sigma_{min} $ and $ \sigma_{max} $.... ...the "pricing" volatility is selected dynamically from the two extreme values $ \sigma_{min} $, $ \sigma_{max} $, according to the convexity of the value-function.....

Managing the Volatility Risk of Portfolios of Derivative Securities: The Lagrangian Uncertain Volatility Model

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  1. You might be very tempted to finish sentences or fill in words for the person. Unless you know the person well and have his or her permission, please do not do this. Your action could be taken as demeaning. And, of course, if you guess the wrong word, the difficulties multiply.
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