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LONGTERM RETURNS IN STOCHASTIC INTEREST RATE MODELS: APPLICATIONS B¥
"... We extend the CoxIngersollRoss (1985) model of the short interest rate by assuming a stochastic reversion level, which better reflects the time dependence caused by the cyclical nature of the economy or by expectations concerning the future impact of monetary policies. In this framework, we have s ..."
Abstract

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We extend the CoxIngersollRoss (1985) model of the short interest rate by assuming a stochastic reversion level, which better reflects the time dependence caused by the cyclical nature of the economy or by expectations concerning the future impact of monetary policies. In this framework, we have studied the convergence of the longterm return by using the theory of generalised Besselsquare processes. We emphasize the applications of the convergence results. A limit theorem proves evidence of the use of a Brownian motion with drift instead of the integral fg rudu. For practice, however, this approximation turns out to be only appropriate when there are no explicit formulae and calculations are very timeconsuming.