Variance-minimizing hedging in the model with jumps at deterministic moments
Teoriâ veroâtnostej i ee primeneniâ, Tome 51 (2006) no. 3, pp. 608-618
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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.
@article{TVP_2006_51_3_a11,
author = {V. M. Radchenko},
title = {Variance-minimizing hedging in the model with jumps at deterministic moments},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {608--618},
publisher = {mathdoc},
volume = {51},
number = {3},
year = {2006},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_2006_51_3_a11/}
}
TY - JOUR AU - V. M. Radchenko TI - Variance-minimizing hedging in the model with jumps at deterministic moments JO - Teoriâ veroâtnostej i ee primeneniâ PY - 2006 SP - 608 EP - 618 VL - 51 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TVP_2006_51_3_a11/ LA - ru ID - TVP_2006_51_3_a11 ER -
V. M. Radchenko. Variance-minimizing hedging in the model with jumps at deterministic moments. Teoriâ veroâtnostej i ee primeneniâ, Tome 51 (2006) no. 3, pp. 608-618. http://geodesic.mathdoc.fr/item/TVP_2006_51_3_a11/