The market model of interest rates specifies simple forward or Libor rates as lognormally distributed, their stochastic dynamics has a linear volatility function. In this paper, the model is extended to quadratic volatility functions which are the product of a quadratic polynomial and a...

In this paper we present a tree model for defaultable bond prices which can be used for the pricing of credit derivatives. The model is based upon the two-factor Hull-White (1994) model for default-free interest rates, where one of the factors is taken to be the credit spread of the defaultable...

In this paper a new credit risk model for credit derivatives is presented. The model is based upon the Libor market modelling framework for default-free interest rates. We model effective default-free forward rates and effective forward credit spreads as lognormal diffusion processes, and...

Background: We investigated the determination of the pledged loan-to-value ratio in an optionpricing environment and mainly articulated the theoretical framework and analytical method. Methods: The basic idea is that the present value of the pledged loan payoff is equal to a put option’s...

The yield on the 10-year U.S. Treasury Note is among the most cited interest rates by investors, policymakers, and fnancial institutions. We show that the 10-year Treasury yield's forward-looking volatility, a VIX-style measure that is a proxy for uncertainty about future interest rates, is a...