We consider minimal variance hedging in a pure-jump multi-curve interest rate model. In the first part, we derive arithmetic multi-factor martingale representations for the spread, OIS and LIBOR rate which are bounded from below by a real-valued constant. In the second part, we investigate...

This paper shows that credit default swaps (CDS) can affect the type of debt firms issue. Firms face a trade-off between investment scale and the cost of capital measured by the credit spread. Small-scale investment is safe, fully collateralized, but earns modest profits in all states....

We propose an innovative multi-curve model involving interest rates and (ordered) spreads which are modeled by arithmetic martingale processes being larger than some arbitrarily chosen constant. Under our mean-reverting pure-jump approach, we derive tractable martingale representations for the...

This paper highlights two new effects of credit default swap markets (CDS) in a general equilibrium setting. First, when firms' cash flows are correlated, CDSs impact the cost of capital{credit spreads{and investment for all firms, even those that are not CDS reference entities. Second, when...

Based on a stylised financial system along with a systemic perspective thereof, we consider the structure of an aggregated banking system that is vulnerable to liquidity risks. Within this setup, a consistent mathematical modelling framework for term interest rate systems is derived that enables...

This paper briefly identifies and corrects an error in Duffie and Singleton (1999). The error to omit a variable casts doubt on the arguments of Duffie and Singleton to constitute Heath-Jarrow-Morton (1992) type term structures on defaultable bonds. The error reveals inconsistency through their...

This paper models the time-varying mean of the UK real and nominal short-term interest rate. Both rates mean revert to a time-varying central tendency in continuous-time interest rate models. Before and during British membership in the ERM, the mean of the real and nominal short rate have a...

The paper develops an empirical no-arbitrage Gaussian affine term structure model to explain the dynamics of the German term structure of interest rates from 1979 through 1998. In contrast to most affine term structure models two risk factors that drive the dynamics are linked to observable...

Using a stochastic discount factor approach, we derive the exact solution for arbitrage-free bond yields for the case that the short-term interest rate follows a threshold process with the intercept switching endogenously. The yield functions, mapping the one-month rate into n-period yields,...

This paper studies a nonlinear one-factor term structure model in discrete time. The single factor is the short-term interest rate, which is modeled as a self-exciting threshold autoregressive (SETAR) process. Our specification allows for shifts in the intercept and the variance. The process is...