Parameter risk in the Black and Scholes model
Marc Henrard ()
Risk and Insurance from EconWPA
We study parameter or estimation risk in the hedging of options. We suppose that the world is such that the price of an asset follows a stochastic differential equation. The only unknown is the (future) volatility of the asset. Options are priced and hedged according to the Black and Scholes formula. We describe the distribution of the profit and loss of the hedging activity when the volatility of the underlying is misestimated. A financial interpretation of the results is provided. Analytical bounds and numerical results for call, put, and portfolios complete our description.
Keywords: Black and Scholes model; option; parameter risk; profit distribution (search for similar items in EconPapers)
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Persistent link: http://EconPapers.repec.org/RePEc:wpa:wuwpri:0310002
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