Das Arbeitspapier behandelt die verschiedenen Möglichkeiten zur Optionspreisbestimmung. Es beginnt mit einer Abhandlung der theoretischen Grundlagen und stellt danach unterschiedliche Modelle dar, bspw. Black-Scholes-Modell; Cox-Ross-Rubinstein-Modell usw.

This paper shows a simple approach to the pricing of options on spread and some arguments in favor of modelling the spread using its two components instead of the spread itself.

This paper considers the option pricing when dynamic portfolios are discretely rebalanced.

Turbo-Certificates are one of the most popular structured equity products for private investors in Germany. They can be regarded as special forms of barrier options. The relation between the barrier level and the strike price is especially important for the design of these products. By using a...

Nonparametric methods for estimating the implied volatility surface or the implied volatility smile are very popular, since they do not impose a specific functional form on the estimate. Traditionally, these methods are two-step estimators. The first step requires to extract implied volatility...

This paper aims to unify exotic option closed formulas by generalizing a large class of existing formulas and by setting a framework that allows for further generalizations. The formula presented covers options from the plain vanilla to most, if not all, mountain range exotic options and is...

No front-office software can survive without providing derivatives of option prices with respect to underlying market or model parameters, the so called Greeks. If a closed form solution for an option exists, Greeks can be computed analytically and they are numerically stable. However, for...

Contingent claims with payoffs depending on finitely many asset prices are modeled as elements of a separable Hilbert space. Under fairly general conditions, including market completeness, it is shown that one may change measure to a reference measure under which asset prices are Gaussian and...

European call options are priced when the uncertainty driving the stock price follows the V. G. stochastic process (Madan and Seneta 1990). The incomplete markets equilibrium change of measure is approximated and identified using the log return mean. variance, and kurtosis. An exact equilibrium...

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...