Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2003-07-31
Eur. Phys. J. B 42, 141--153 (2004)
Physics
Condensed Matter
Statistical Mechanics
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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