We have compared the performance of savings plans within the class of difference capital guarantee mechanisms: from the stop loss to classic investments in actuarial reserve funds. CPPI strategies with different leverage factors can be viewed as a compromises between these two extremes. In...

In Zeiten stark schwankender Finanzmarkte liegt der Fokus von Investoren insbesondere auf dem mit einer Anlage verbundenen Risiko. Gerade in diesen Marktphasen suchen Investoren nach Moglichkeiten, ihr bestehendes Portfolio weiter zu diversifizieren. Volatilitätsinvestments bieten durch ihre...

We investigate the characteristic functions of multi-factor Cheyette Models and the application to the valuation of interest rate derivatives. The model dynamic can be classiffied as an affine-diffusion process implying an exponential structure of the characteristic function. The characteristic...

We present a closed pricing formula for European options under the Black Scholes model and formulas for its partial derivatives. The formulas are developed making use of Taylor series expansions and by expressing the spatial derivatives as expectations under special measures, as in Carr,...

The foreign exchange options market is one of the largest and most liquid OTC derivative markets in the world. Surprisingly, very little is known in the academic literature about the construction of the most important object in this market: The implied volatility smile. The smile construction...

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...