An interest rate model with a Markovian mean reverting level
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 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.