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具有马尔可夫均值回复水平的利率模型

An interest rate model with a Markovian mean reverting level

Quantitative Finance · 2002
被引 2
人大 BABS 3

中文导读

研究了一个两因子Vasicek模型,其中均值回复水平随时间按有限状态马尔可夫链变化,推导出债券价格的解析表达式,并通过远期利率动态验证其有效性。

Abstract

Abstract A two‐factor Vasicek model, where the mean reversion level changes according to a continuous time finite state Markov chain, is considered. This model could capture the behaviour of monetary authorities who normally set a reference rate which changes from time to time. We derive the term structure via the analytic expression of the bond price that involves a fundamental matrix. The validity of the bond price closed form solution is verified via the forward rate dynamics.

金融利率模型计量经济学随机过程