Hedged Monte-Carlo: low variance derivative pricing with objective probabilities

Marc Potters, Jean-Philippe Bouchaud and Dragan Sestovic

Physica A: Statistical Mechanics and its Applications, 2001, vol. 289, issue 3, 517-525

Abstract: We propose a new ‘hedged’ Monte-Carlo (HMC) method to price financial derivatives, which allows to determine simultaneously the optimal hedge. The inclusion of the optimal hedging strategy allows one to reduce the financial risk associated with option trading, and for the very same reason reduces considerably the variance of our HMC scheme as compared to previous methods. The explicit accounting of the hedging cost naturally converts the objective probability into the ‘risk-neutral’ one. This allows a consistent use of purely historical time series to price derivatives and obtain their residual risk. The method can be used to price a large class of exotic options, including those with path dependent and early exercise features.

Keywords: Financial derivatives; Monte Carlo methods; Option pricing; Historical probabilities (search for similar items in EconPapers)
Date: 2001
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Citations: View citations in EconPapers (18)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:289:y:2001:i:3:p:517-525

DOI: 10.1016/S0378-4371(00)00554-9

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