Bounds on contingent claims based on several assets

• 成果类型: Article
• 署名作者: Boyle, PP; Lin, XS
• 署名单位: University of Waterloo; University of Iowa
• 刊物名称: JOURNAL OF FINANCIAL ECONOMICS
• ISSN/ISSBN: 0304-405X
• DOI: 10.1016/S0304-405X(97)00035-4
• 发表日期: 1997
• 页码: 383-400
• 关键词: Option pricing; upper bounds; multiple assets

摘要

In 1987, Lo derived an upper bound on the price of a European call option on a single asset. Lo's bound depends only on the mean and variance of the terminal asset price and is termed a semi-parametric bound. This paper derives similar semi-parametric bounds on a European call on the maximum of any number of assets. A distribution-free bound for the price of this option is obtained. The bound depends only on the means and covariance matrix of the returns on n underlying assets. The bound is obtained by optimizing over the entries of a positive definite matrix A. This can be accomplished by a technique known as semidefinite programming. We demonstrate the methodology using two specific applications. The first concerns the valuation of a European call option on the maximum of several assets. This is known as an outperformance option and is of some practical interest. The second application concerns the valuation of a discretely adjusted lookback option. These lookback options are of interest in connection with certain equity annuity insurance products.