In this paper locally risk-minimizing hedge strategies for European-style contingent claims are derived and tested for a general class of stochastic volatility models. These strategies are as easy to implement as ordinary delta hedges, yet in realistic settings they produce markedly lower hedge...

We review how reflection results can be used to give simple proofs of price formulas and derivations of static hedge portfolios for barrier and lookback options in the Black-Scholes model.

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...

The article investigates how sensitive different dynamic and static hedge strategies for barrier options are to model risk. It is found that using plain‐vanilla options to hedge offers considerable improvements over usual Δ hedges. Further, it is shown that the hedge portfolios involving...

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...

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>

In the basic mean/variance framework, a stock's weight in effcient portfolios goes up if its expected rate of return goes up. In more complicated, realistic portfolio choice problems, surprising effects can occur.

We investigate how sensitive a variety of dynamic and static hedge strategies for barrier options are to model risk. We find that using plain vanilla options to hedge barrier options offers considerable improvements over usual ?-hedges. Further, we show that the hedge portfolios involving...