Mit vorliegender Arbeit wird versucht, die Validit?t des Black/Scholes- und des Barone-Adesi/Whaley-Optionsbewertungsmodells, bezogen auf ein breites Spektrum der in Deutschland b?rsennotierten Optionsscheine auf den wichtigsten nationalen Aktienindex, den Deutschen Aktienindex DAX, theoretisch...

Ziel dieses Beitrages ist es, die Zusammenhänge zwischen den Binomialmodellen der Operationsbewertung (Replikation bzw. Methode der risikoneutralen Wahrscheinlichkeiten) und dem Black/Scholes Modell aufzuzeigen und zu analysieren...

In this article we evaluate the pricing performance of the rather simple but revolutionary Black-Scholes model and one of the more complex techniques (neural networks) on the European-style S&P Index call and put options over the period of 1.6.2006 till 8.6.2007. Our results on call options show...

We consider two sequences of Markov chains induc- ing equivalent measures on the discrete path space. We estab- lish conditions under which these two measures converge weakly to measures induced on the Wiener space by weak solutions of two SDEs, which are unique in the sense of probability law....

We review the relations between adjoints of stochastic control problems with the derivative of the value function, and the latter with the value function of a stopping problem. These results are applied to the pricing of contingent claims.

Taking a portfolio perspective on option pricing and hedging, we show that within the standard Black-Scholes-Merton framework large portfolios of options can be hedged without risk in discrete time. The nature of the hedge portfolio in the limit of large portfolio size is substantially different...

Market option prices in last 20 years confirmed deviations from the Black and Scholes (BS) models assumptions, especially on the BS implied volatility. Implied binomialtrees (IBT) models capture the variations of the implied volatility known as \volatility smile". They provide a discrete...

A new algorithm for finding value functions of finite horizon optimal stopping problems in one-dimensional diffusion models is presented. It is based on a time discretization of the corresponding integral equation. The proposed iterative procedure for solving the discretized integral equation...

State price densities (SPD) are an important element in applied quantitativefinance. In a Black-Scholes model they are lognormal distributions with constant volatility parameter. In practice volatility changes and the distribution deviates from log-normality. We estimate SPDs using EUREX option...

The Black-Scholes formula, one of the major breakthroughs of modern finance,allows for an easy and fast computation of option prices. But some of its assumptions, like constant volatility or log-normal distribution of asset prices,do not find justification in the markets. More complex models,...