The Danish mortgage market is large and sophisticated. However, most Danish mortgage banks advise private home-owners based on simple, if sensible, rules of thumb. In recent years a number of papers (from Nielsen and Poulsen in J Econ Dyn Control 28:1267–1289, <CitationRef CitationID="CR8">2004</CitationRef> over Rasmussen and Zenios in...</citationref>

The problem of dynamic portfolio choice with transaction costs is often addressed by constructing a Markov Chain approximation of the continuous time price processes. Using this approximation, we present an efficient numerical method to determine optimal portfolio strategies under time- and...

We report on progress on a Multistage Stochastic programming model for managing risks in the Danish MBS market. An issuer has the choice between adjustable and fixed rates, both types having various options. An integrated interest-rate and optimization model is needed to manage this complex...

In this paper the performance of locally risk-minimizing delta hedge strategies for European options in stochastic volatility models is studied from an experimental as well as from an empirical perspective. These hedge strategies are derived for a large class of diffusion-type stochastic...

We extend the short rate model of Vasicek (1977) to include jumps in the local mean. Conditions ensuring existence of a unique equivalent martingale measure are given, implying that the model is arbitrage-free and complete. We develop efficient numerical methods for computation of zero coupon...

This paper provides an extension of the Black-Scholes model for option pricing in which the logarithm of the volatility is assumed to be generated from an Ornstein-Uhlenbeck equation with fractional Riesz-Bessel motion (fRBm) input. The solution of the resulting stochastic differential equation...

We use a reflection result to give simple proofs of (well-known) valuation formulas and static hedge portfolio constructions for zero-rebate single-barrier options in the Black-Scholes model. We then illustrate how to extend the ideas to other model types giving (at least) easy-to-program...