City Research Online

Abstract

This paper solves the mean{variance hedging problem in Heston's model with a stochastic opportunity set moving systematically with the volatility of stock returns. We allow for correlation between stock returns and their volatility (so-called leverage effect).

Our contribution is threefold: using a new concept of opportunity-neutral measure we present a simplified strategy for computing a candidate solution in the correlated case. We then go on to show that this candidate generates the true variance-optimal martingale measure; this step seems to be partially missing in the literature. Finally, we derive formulas for the hedging strategy and the hedging error.

Publication Type:	Article
Publisher Keywords:	Social Sciences, Science & Technology, Physical Sciences, Business, Finance, Economics, Mathematics, Interdisciplinary Applications, Social Sciences, Mathematical Methods, Business & Economics, Mathematics, Mathematical Methods In Social Sciences, BUSINESS, FINANCE, ECONOMICS, MATHEMATICS, INTERDISCIPLINARY APPLICATIONS, SOCIAL SCIENCES, MATHEMATICAL METHODS, mean-variance hedging, stochastic volatility, Heston's model, affine process, option pricing, optimal investment, STOCHASTIC VOLATILITY, AFFINE PROCESSES, FINANCE
Subjects:	H Social Sciences > HG Finance
Departments:	Bayes Business School > Finance

Export

Downloads