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 forward rate rate models of HJM type, as well as more general infinite dimensional SDEs, where the volatility/diffusion term is stochastic in the sense of being driven by a separate hidden Markov process. Within this framework we use the previously developed Hilbert space realization...

The purpose of this essay is to give an overview of some recent workconcerning structural properties of the evolution of the forward rate curve in an arbitrage free bond market. The main problems to be discussed are as follows. 1. When is a given forward rate model consistent with a given family...

We introduce a new class of flexible and tractable matrix a±ne jump-diffusions (AJD) to modelmultivariate sources of financial risk. We first provide a complete transform analysis of this model class,which opens a range of new potential applications to, e.g., multivariate option pricing with...

The challenge of international term structure models is to simultaneously account for the properties of interest rate term structures and foreign exchange rates within an arbitrage-free framework. We extend the quadratic term structure models proposed in Leippold and Wu (2002) to multiple...

We study the optimal policies and mean-variance frontiers (MVF) of a multiperiod mean-variance optimization of assets and liabilities (AL). Our model allows for a contemporaneous optimization of the balance-sheet as a whole. This makes the analysis more challenging than in a setting based on...

We study the risk of holding credit default swaps (CDS) in the trading book. In particular, wecompare the Value at Risk (VaR) of a CDS position to the VaR for investing in the respectivefirm’s equity. Our sample consists of CDS – stock price pairs for 86 actively traded firms overthe period...

This is study empirically examine the impact of market conditions on credit spreads asmotivated by recently developed structural credit risk models. Using credit default swap(CDS) spreads, we find that, in the time series, average credit spreads are decreasing inGDP growth rate, but increasing...

This paper investigates the market pricing of subprime mortgage risk on the basis of data forthe ABX.HE family of indices, which have become a key barometer of mortgage marketconditions during the recent financial crisis. After an introduction into ABX index mechanicsand a discussion of...

We develop a new completely affine model of the term structure of interest rates, in which the statevariables evolve as a matrix-valued process of stochastically correlated factors. This setting grants a newelement of flexibility in the simultaneous modeling of stochastic volatilities and...