This paper focuses on the valuation of caps, floors, and collars in a contingent claim framework under continuous time. These instruments are interpreted as options on traded zero coupon bonds. The bond prices themselves are used as the underlying stochastic variables. This has the advantage...

Mellin transforms in option pricing theory were introduced by Panini and Srivastav (2004). In this contribution, we generalize their results to European power options. We derive Black-Scholes-Merton-like valuation formulas for European power put options using Mellin transforms. Thereafter, we...

We extend a framework based on Mellin transforms and show how to modify the approach to value American call options on dividend paying stocks. We present a new integral equation to determine the price of an American call option and its free boundary using modi ed Mellin transforms. We also show...

Inspired by the theory of social imitation (Weidlich 1970) and its adaptation to financial markets by the Coherent Market Hypothesis (Vaga 1990), we present a behavioral model of stock prices that supports the overreaction hypothesis. Using our dynamic stock price model, we develop a two factor...

We focus on a preference based approach when pricing options in a market driven by fractional Brownian motion. Within this framework we derive formulae for fractional European options using the traditional idea of conditional expectation. The obtained formulae - as well as further results -...

We develop and empirically test a continuous time equilibrium model for the pricing of oil futures. The model provides a link between no-arbitrage models and expectation oriented models. It highlights the role of sufficient inventories for oil futures pricing and for the explanation of...

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

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...