Journal of Mathematical Finance
Volume 4, Issue 1 (January 2014)
ISSN Print: 2162-2434 ISSN Online: 2162-2442
Google-based Impact Factor: 0.87 Citations h5-index & Ranking
Evaluation of Geometric Asian Power Options under Fractional Brownian Motion ()
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ABSTRACT
Modern option pricing techniques are often considered among the most mathematical complex of all applied areas of financial mathematics. In particular, the fractional Brownian motion is proper to model the stock dynamics for its long-range dependence. In this paper, we evaluate the price of geometric Asian options under fractional Brownian motion framework. Furthermore, the options are generalized to those with the added feature whose payoff is a power function. Based on the equivalent martingale theory, a closed form solution has been derived under the risk neutral probability.
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