摘要
本文研究了在两种利率差价上一个欧式期权的定价问题,这一问题类似于两种资产互换的期权。在一个多因素HJM框架之下本文获得了这种利率差价期权的精确的定价公式。文中表明利率的不完全相关性的引入是非常必要的,在单因素模型之下,比如Ho和Lee(1985)模型,是不能定价这一类期权的。
This paper studies the problem of pricing a European option on the difference of the two interest rates, which is analogous to an option to exchange one asset for another. We derive a closed-form of pricing formula of an interest rate spread options under a multi-factor Heath-Jarrow-Morton (HJM) term structure framework, which shows that the introduction of the imperfect interest rates movements is essential for pricing such option, for which a single-factor model such as Ho and Lee (1985) model should not ...
基金
杭州电子科技大学科研启动基金(KYS020517048)