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...

Simple formulas for the price of corporate discount and coupon bonds are found using the Longstaff and Schwartz valuation approach for the debt claims of a firm, where default is triggered by a special State variable: the firm's asset-to-debt-ratio. Instead of keeping the total amount of debt...

In this paper we generalize a chaos control method developed by Ott, Grebogi and Yorke (1990) to control saddle points in R2 which are embadded in a strange attractor of a chaotic system. Our generalized method admits to control any unstable equilibrium in R2. We apply our findings to control...

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...

In this paper we examine small sample properties of a generalized method of moments (GMM) estimation using Monte Carlo simulations. We assume that the generated time series describe the stochastic variance rate of a stock index. We use a mean reverting square-root prooess to simulate the...

Am Beispiel des Konjunkturmodells von Kaldor wird gezeigt, wie die Kontrolle eines chaotischen Systems mit begrenzten Resourcen auch dann noch durchgeführt werden kann, wenn es sich bei dem zu stabilisierenden Gleichgewicht nicht mehr um einen sogenannten Sattelpunkt handelt. Diese...

Using Kaldor's business cycle model we show how a chaotic system with limited resources can be controlled in the general case where the equilibrium which we want to stabilize is not a saddle point. This problem has considerable economic relevance because it cannot be assumed that equilibria can...