We develop intuitive expressions for the spread between a forwardcontract and a similar futures contract taking into account the pos-sibility of counterparty default. We evaluate these expressions nu-merically and show that the forward-futures spread is significant forrealistic parameter...

Most derivative contracts are traded over-the-counter, i.e., bilaterally between two counterparties. Recently, clearing services have become available that allow to transfer over-the-counter derivatives to a central counterparty (clearing house). We develop a framework to determine the effects...

In recent years, industry loss warranties (ILWs) have become increasingly popular in the reinsurance market. The defining feature of ILW contracts is their dependence on an industry loss index. The use of an index reduces moral hazard and generally results in lower prices compared to...

This paper constructs a model for the evolution of a risky security that is consistent with a set of observed call option prices. It explicitly treats the fact that only a discrete data set can be observed in practice. The framework is general and allows for state dependent volatility and jumps....

The current paper presents a short survey of stochastic models of risk control and dividend optimization techniques for a financial corporation. While being close to consumption/investment models of Mathematical Finance, dividend optimization models possess special features which do not allow...

The Fundamental Theorem of Asset Pricing states - roughly speaking - that the absence of arbitrage possibilities for a stochastic process S is equivalent to the existence of an equivalent martingale measure for S. It turns out that it is quite hard to give precise and sharp versions of this...

At first time in the 124 years old history of the International Statistical Institute (ISI) a session was hold in southern of the Sahara region in Africa, from 16 to 22 August in Durban/South Africa. Hence Denise Lievesley, first female president of ISI said in the Opening Ceremony: „I hope...

Based on multiparameter subadditive ergodic theorems of Akcoglu and Krengel (1981) and Schürger (1988) we derive an almost sure limit theorem for families of random matrices with a multiparameter which satisfy a supermultiplicativity condition. This gives a multiparameter analogue of results of...

Ant Colony Optimization is a relatively new meta-heuristic that has proven its quality and versatility on various combinatorial optimization problems such as the traveling salesman problem, the vehicle routing problem and the job shop scheduling problem.(...)

A consequence of the Hahn-Banach theorem is the classical bipolar theorem which states that the bipolar of a subset of a locally convex vector pace equals its closed convex hull.(...)