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...

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...

In Foreign Exchange Markets vanilla and barrier options are traded frequently. The market standard is a cutoff time of 10:00 a.m. in New York for the strike of vanillas and a knock-out event based on a continuously observed barrier in the inter bank market. However, many clients, particularly...

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...

In Foreign Exchange Markets Compound options (options on options) are traded frequently. Installment options generalize the concept of Compound options as they allow the holder to prolong a Vanilla Call or Put option by paying installments of a discrete payment plan. We derive a closed-form...

We focus on closed-form option pricing in Heston's stochastic volatility model, where closed-form formulas exist only for a few option types. Most of these closed-form solutions are constructed from characteristic functions. We follow this closed-form approach and derive multivariate...