Local Volatility Under Stochastic Interest Rates Using Mixture Models

Local Volatility Under Stochastic Interest Rates Using Mixture Models PDF Author: Mark S. Joshi
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Languages : en
Pages : 22

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Book Description
A key requirement of any equity hybrid derivatives pricing model is the ability to rapidly and accurately calibrate to vanilla option prices. To this end, we present two methods for calibrating a local volatility model under correlated stochastic interest rates. This is achieved by first fitting a mixture model to market prices, and then determining the local volatility function that is consistent with this mixture model.