We introduce a new method for the estimation of discount functions, yield curves and forward curves from government issued coupon bonds. Our approach is non-parametric and does not assume particular functional form for the discount function although we do show how to impose various restrictions...

The objective of this paper is to consider defaultable term structure models in a general setting beyond standard risk-neutral models. Using as numeraire the growth optimal portfolio, defaultable interest rate derivatives are priced under the real-world probability measure. Therefore, the...

We investigate the existence of affine realizations for interest rate term structure models driven by Levy processes. Using as numeraire the growth optimal portfolio, we model the interest rate term structure under the real-world probability measure, and hence, we do not need the existence of an...

According to the expectations hypothesis, the forward rate is equal to the expected future short rate, an argument that is not supported by most empirical studies that demonstrate the existence of term premiums. An alternative arbitrage-free term structure model for reviewing the expectations...

According to the expectations hypothesis, the forward rate is equal to the expected future short rate, an argument that is not supported by most empirical studies that demonstrate the existence of term premiums. An alternative arbitrage-free term structure model for reviewing the expectations...

The growth optimal portfolio (GOP) plays an important role in finance, in particular in derivative pricing, where it is employed as a num\'eraire portfolio, allowing to price contingent claims directly under the real world probability measure. This paper derives an extension of a time dependent...