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Short Communications
Variance-minimizing hedging in the model with jumps at deterministic moments
V. M. Radchenko National Taras Shevchenko University of Kyiv
Abstract:
We consider a model in which the asset price is driven by the Wiener process and, in addition, has random changes at earlier known nonrandom time moments. The explicit form of the variance-minimizing hedging strategy for the European call option is derived. The results are based on the Föllmer–Schweizer decomposition of contingent claims.
Keywords:
variance-minimizing hedging, European call option, Föllmer–Schweizer decomposition, model of asset price with jumps, nonrandom jump times, minimal martingale measure.
Received: 19.08.2004
Citation:
V. M. Radchenko, “Variance-minimizing hedging in the model with jumps at deterministic moments”, Teor. Veroyatnost. i Primenen., 51:3 (2006), 608–618; Theory Probab. Appl., 51:3 (2007), 536–545
Linking options:
https://www.mathnet.ru/eng/tvp44https://doi.org/10.4213/tvp44 https://www.mathnet.ru/eng/tvp/v51/i3/p608
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Abstract page: | 367 | Full-text PDF : | 168 | References: | 61 |
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