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Gentile, Monica
Renò, Roberto
Year of Publication: 
Series/Report no.: 
LEM Working Paper Series 2002/02
In the recent years, di usion models for interest rates became very popular. In this paper, we try to do a selection of a suitable diffusion model for the Italian interest rates. Our data set is given by the yields on three-month BOT, from 1981 to 2001, for a total of 470 observations. We investigate among stochastic volatility models, paying more attention to a ne models. Estimating diffusion models via maximum likelihood,which would lead to effciency, is usually unfeasible since the transition density is not available. Recently it has been proposed a method of moments which gains full effciency, hence its name of Effcient Method of Moments (EMM); it selects the moments as the scores of an auxiliary model, to be computed via simulation,thus EMM is suitable to di usions whose transition density is unknown, but which are convenient to simulate. The auxiliary model is selected among a family of densities which spans the density space. As a by-product, EMM provides diagnostics which are easy to compute and to interpret. We find evidence that one-factor models are rejected, while a logarithmic specification of the volatility provides the best t to the data, in agreement with the ndings on U.S. data. Moreover, we provide evidence that this model allows a more exible representation of the yield curve.
estimation by simulation
method of moments
stochastic differential equations
interest rate term structure
yield curve
Document Type: 
Working Paper

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