The Forward PDE for European Options on Stocks With Fixed Fractional Jumps

Topics:
Investment and Capital Markets
Tags:
Finance,
Investment,
Price,
Stock,
World Scientific Publishing
Source:
World Scientific Publishing

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Overview: This paper derives a partial integro differential equation (PIDE) which relates the price of a calendar spread to the prices of butterfly spreads and the functions describing the evolution of the process. These evolution functions are the forward local variance rate and a new concept called the {\it forward local default arrival rate}. The paper then specializes to the case where the only jump which can occur reduces the underlying stock price by a fixed fraction of its pre-jump value. It discusses novel strategies for calibrating to a term and strike structure of European options prices.

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Format: PDF | Size: 234KB | Date: Jul 2004 | Pages: 15


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