Die Bewertung von Derivaten über ein replizierendes Portfolio führt häufig zu einer Differentialgleichung, welche analytisch nicht lösbar ist. Eine Lösung kann nur mit Hilfe von numerischen Verfahren gefunden werden. Finite Differenzenverfahren sind insbesondere geeignet,...

In this paper we follow a different approach by taking a first step towards an option valuation model which does not explicitly make use of unobservable State variables. Instead of using a stochastic variance variable directly, we assume that the variance of stock returns is determined by the...

There is much discussion about derivatives at central banks. The main focus is on questions about the impact of the growing use of derivative instruments on the stability of the financial markets and the effectiveness ofmonetary policy measures. Irrespective ofthe answers, the information...

We consider a stochastic volatility model of the mean-reverting type to describe the evolution of a firm’s values instead of the classical approach by Merton with geometric Brownian motions. We develop an analytical expression for the default probability. Our simulation results indicate that...

When options are traded, one can use their prices and price changes to draw inference about the set of risk factors and their risk premia. We analyze tests for the existence and the sign of the market prices of jump risk that are based on option hedging errors. We derive a closed-form solution...

This paper determines the cost of employee stock options (ESOs) to shareholders. I present a pricing method that seeks to replicate the empirics of exercise and cancellation as good as possible. In a first step, an intensity-based pricing model of El Karoui and Martellini is adapted to the needs...