A characterization of hedging portfolios for interest rate contingent claims

被引:24
作者
Carmona, R [1 ]
Tehranchi, M
机构
[1] Princeton Univ, Dept Operat Res & Financial Engn, Princeton, NJ 08544 USA
[2] Univ Texas, Dept Math, Austin, TX 78712 USA
关键词
fixed income markets; Malliavin calculus; infinite-dimensional processes; hedging portfolios;
D O I
10.1214/105051604000000297
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
We consider the problem of hedging a European interest rate contingent claim with a portfolio of zero-coupon bonds and show that an HJM type Markovian model driven by an infinite number of sources of randomness does not have some of the shortcomings found in the classical finite-factor models. Indeed, under natural conditions on the model, we find that there exists a unique hedging strategy, and that this strategy has the desirable property that at all times it consists of bonds with maturities that are less than or equal to the longest maturity of the bonds underlying the claim.
引用
收藏
页码:1267 / 1294
页数:28
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