This paper demonstrates how, without mechanically applying any formula like Nelson-Siegel or Nelson-Siegel-Svensson straight cut, a short term yield curve can intuitively be constructed with traded securities and then plugging the gaps with regression and cubic splines on case by case basis,...

In this paper, we present a multi-factor continuous-time autoregressive moving-average (CARMA) model for the short and forward interest rates. This model is able to present an adequate statistical description of the short and forward rate dynamics. We show that this is a tractable term structure...

We consider interest rate models of Heath-Jarrow-Morton type where the forward rates are driven by a multidimensional Wiener process, and where the volatility structure is allowed to be a smooth functional of the present forward rate curve. In a recent paper (to appear in Mathematical Finance )...

We consider interest rate models of Heath-Jarrow-Morton type where the forward rates are driven by a multidimensional Wiener process, and where the volatility structure is allowed to be a smooth functional of the present forward rate curve. <p> In a recent paper (to appear in "Mathematical Finance"...</p>

In finance, the price of an American option is obtained from the price of the underlying asset by solving a parabolic variational inequality. The calibration of volatility from the prices of a family of American options yields an inverse problem involving the solution of the previously mentioned...

A mathematical model for vertical extrapolation of the measurement data for wind speed taken at several measurement heights is presented. The model is based on the method of least squares (LES). By applying the proposed model on the sets of measured data taken at least at three measurement...