Tokyo Journal of Mathematics

Mean-Variance Hedging for Discontinuous Semimartingales

Takuji ARAI

Abstract

Mean-variance hedging is well-known as one of hedging methods for incomplete markets. Our end is leading to mean-variance hedging strategy for incomplete market models whose asset price process is given by a discontinuous semimartingale and whose mean-variance trade-off process is not deterministic. In this paper, on account, we focus on this problem under the following assumptions: (1) the local martingale part of the stock price process is a process with independent increments; (2) a certain condition restricting the number and the size of jumps of the asset price process is satisfied; (3) the mean-variance trade-off process is uniformly bounded; (4) the minimal martingale measure coincides with the variance-optimal martingale measure.

Article information

Source
Tokyo J. Math., Volume 25, Number 2 (2002), 435-452.

Dates
First available in Project Euclid: 5 June 2009

https://projecteuclid.org/euclid.tjm/1244208863

Digital Object Identifier
doi:10.3836/tjm/1244208863

Mathematical Reviews number (MathSciNet)
MR1948674

Zentralblatt MATH identifier
1054.60051

Citation

ARAI, Takuji. Mean-Variance Hedging for Discontinuous Semimartingales. Tokyo J. Math. 25 (2002), no. 2, 435--452. doi:10.3836/tjm/1244208863. https://projecteuclid.org/euclid.tjm/1244208863

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