A Binomial Basis for the Cox, Ingersoll and Ross Model of the Term Structure of Interest Rates
用简单的二项式过滤过程重新表述Cox-Ingersoll-Ross的平方根利率模型，避免原论文复杂的数学细节，便于评估模型优劣和设计利率对冲策略。
The technical demands of the Cox, Ingersoll and Ross (1985a and 1985b) papers are such that they can only be mastered by those who have a good understanding of some deep mathematics and statistical concepts, including the techniques of continuous time stochastic calculus and the measure theory upon which it is based, the Kuhn‐Tucker theory surrounding non‐linear optimisation techniques as well as variational methods founded on solutions of non‐linear differential equations. Hence, our purpose here is to formalise both investor preferences and the supply side which underscores the Cox, Ingersoll and Ross (1985b) ‘square root’ model of the term structure of interest rates in terms of some simple binomial filtration processes, thereby avoiding most of the intricate technical detail contained in the original papers. These procedures not only allow for a more focused evaluation of the model's underlying strengths and weaknesses but also provide a framework for assessing some of the strategies which the model makes available for hedging exposure against adverse interest rate movements.