Partial Derivative Approach for Option Pricing in a Simple Stochastic Volatility Model

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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21 pages, 3 figures, submitted for publication

Scientific paper

10.1140/epjb/e2004-00366-7

We study a market model in which the volatility of the stock may jump at a random time from a fixed value to another fixed value. This model was already described in the literature. We present a new approach to the problem, based on partial derivative equations, which gives a different perspective to the problem. Within our framework we can easily consider several prescriptions for the market price of volatility risk, and interpret their financial meaning. Thus, we recover solutions previously cited in the literature as well as obtain new ones.

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