利率期限结构的随机场模型

The Term Structure of Interest Rates as a Random Field

Review of Financial Studies · 2000
被引 153
人大 AFT50UTD24ABS 4*

中文导读

提出用随机场模型描述远期利率动态,相比多因子模型更简洁且避免重新校准的不一致性,推导了无套利条件下的漂移形式,并给出可处理模型的定价应用。

Abstract

Forward rate dynamics are modeled as a random field. In contrast to multifactor models, random field models offer a parsimonious description of term structure dynamics, while eliminating the self-inconsistent practice of recalibration. The form of the drift of the instantaneous forward rate process necessary to preclude arbitrage under the risk-neutral measure is obtained. Forward risk-adjusted measures are identified and used to price a bond option when the forward volatility structure depends on the square root of the current spot rate. Several classes of tractable random field models are presented.

利率期限结构随机场模型远期利率无套利条件