Option prices are a valuable source of information concerning risk assessments from investors about future financial payoffs. The information is summarized in the state price densities (SPD), the continuous counterpart (normalized by a constant) from Arrow-Debreu security prices. Under no...

This paper analyzes empirical market utility functions and pricing kernelsderived from the DAX and DAX option data for three market regimes. Aconsistent parametric framework of stochastic volatility is used. All empiricalmarket utility functions show a region of risk proclivity that is...

In January 2005 the EU-wide CO2 emissions trading system (EU-ETS) has formally entered into operation.Within the new trading system, the right to emit a particular amount of CO2 becomes a tradable commodity - called EU Allowances (EUAs) - and affected companies, traders and investors will face...

We present solutions to some discounted optimal stopping problems for the maximum process in a model driven by a Brownian motion and a compound Poisson process with exponential jumps. The method of proof is based on reducing the initial problems to integro-differential free-boundary problems...

We present a solution to some discounted optimal stopping problem for the maximum of a geometric Brownian motion on a finite time interval. The method of proof is based on reducing the initial optimal stopping problem with the continuation region determined by an increasing continuous boundary...

The calibration of financial models has become rather important topic in recent years mainly because of the need to price increasingly complex options in a consistent way. The choice of the underlying model is crucial for the good performance of any calibration procedure. Recent empirical...

We investigate the problem of calibrating an exponential Lévy model based on market prices of vanilla options. We show that this inverse problem is in general severely ill-posed and we derive exact minimax rates of convergence. The estimation procedure we propose is based on the explicit...

Today´s derivate pricing base on stochastic models developed in the 70´s. These models base on some unrealistic assumptions. The system WARRANT PRO 1 presented here combines the software agent PISA (Partially Intelligent Software Agent) and the neurosimulator FAUN (Fast Approximation with...

Börsengehandelte Termingeschäfte sind durch eine starke Standardisierung der Verträge geprägt,die sich auch auf das zu liefernde Basisinstrument erstreckt. Mit Auflegung eines Terminkontraktswerden die Wertpapiere benannt, die der Erfüllung des Geschäfts dienen können.Weicht deren...

In this paper we introduce the dynamic semiparametric factor model (DSFM) for electricity forward curves. The biggest advantage of our approach is that it not only leads to smooth,seasonal forward curves extracted from exchange traded futures and forward electricity contracts, but also to a...