In this paper, we reexamine and extend the stochastic volatility model of Stein and Stein (1991) where volatility follows a mean-reversion Ornstein-Uhlenbeck process. Using Fourier inversion techniques we are able to allow for correlation between instan-taneous volatilities and the underlying...

In this paper it is illustrated how option-based valuation can be used to determine whether and when a firm should patent and adopt an Innovation if the arrival time of competitors is stochastic. Four distinct strategies are derived: Apply for a patent without introducing the new technology...

In this paper we addressed the problem of determining the optimal replicating strategy for a European call option under differential transactions costs. We derived an upper boundary for the cost factor in a market where all Investors face the same factor. This upper boundary ensures the...

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...