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2010 Third International Conference on Business Intelligence and Financial Engineering
Pricing Perpetual American Option under the Fractional Black-Scholes Model
Hong Kong, China
August 13-August 15
ISBN: 978-0-7695-4116-7
Under the assumption of the underlying asset is driven by the fractional Black-Scholes Brownian Motion, we use a self-financing delta-hedging strategy to obtain a discrete time pricing formula for perpetual American put option. We also show that timestep and long-range dependence have a significant impact on option pricing.
Index Terms:
perpetual American option, delta-hedging, early exercise boundary, fractional Black-Scholes model
Citation:
Wenli Huang, Shenghong Li, Songyan Zhang, "Pricing Perpetual American Option under the Fractional Black-Scholes Model," bife, pp.165-169, 2010 Third International Conference on Business Intelligence and Financial Engineering, 2010
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