Publikation: Mean variance hedging in a general jump model
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2010
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Applied mathematical finance. 2010, 17(1), pp. 29-57. Available under: doi: 10.1080/13504860903075605
Zusammenfassung
We consider the mean-variance hedging of a contingent claim H when the discounted price process S is an [image omitted]-valued quasi-left continuous semimartingale with bounded jumps. We relate the variance-optimal martingale measure (VOMM) to a backward semimartingale equation (BSE) and show that the VOMM is equivalent to the original measure P if and only if the BSE has a solution. For a general contingent claim, we derive an explicit solution of the optimal strategy and the optimal cost of the mean-variance hedging by means of another BSE and an appropriate predictable process δ
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
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backward semimartingale equations, Mean-variance hedging, variance-optimal martingale measure, speculation, investments, securities
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KOHLMANN, Michael, Dewen XIONG, Zhongxing YE, 2010. Mean variance hedging in a general jump model. In: Applied mathematical finance. 2010, 17(1), pp. 29-57. Available under: doi: 10.1080/13504860903075605BibTex
@article{Kohlmann2010varia-763,
year={2010},
doi={10.1080/13504860903075605},
title={Mean variance hedging in a general jump model},
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journal={Applied mathematical finance},
pages={29--57},
author={Kohlmann, Michael and Xiong, Dewen and Ye, Zhongxing}
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