Asset prices are forward looking. This evidence implies that prices of financial assets are essentially determined by the traders expectations about future prices. Another evidence about asset prices is that these do not seem to follow a predictable pattern over time; we observe periods of high...

Impulsive control consideres so called interventions meaning immediate change of the state of the system; between intervention, the continuous time jump Markov process is uncontrollable, with “natural” jump intensities. Multicriteria control problem for such model is considered, and the...

The concept of Integrated Marketing Communications (IMC) emphasizes the role of synergy, which arises when the combined effect of multiple activities exceeds the sum of their individual effects. In this paper, we investigate the effects of synergy on the profitability of IMC programs in...

Impulsive control consideres so called interventions meaning immediate change of the state of the system; between intervention, the continuous time jump Markov process is uncontrollable, with “natural” jump intensities. Multicriteria control problem for such model is considered, and the...

The concept of Integrated Marketing Communications (IMC) emphasizes the role of synergy, which arises when the combined effect of multiple activities exceeds the sum of their individual effects. In this paper, we investigate the effects of synergy on the profitability of IMC programs in...

We consider the position management problem for an agent trading a mean- reverting asset. This problem arises in many statistical and fundamental arbitrage trading situations when the short-term returns on an asset are predictable but limited risk-bearing capacity does not allow to fully exploit...

In this paper we analyze the superreplication approach in stochastic volatility models in the case of European multiasset derivatives. We prove that the Black-Scholes-Barenblatt (BSB) equation gives a superhedging strategy even if its solution is not twice differentiable. This is done under...

In this paper we analyze the superreplication approach in stochastic volatility models in the case of European multiasset derivatives. We prove that the Black-Scholes-Barenblatt (BSB) equation gives a superhedging strategy even if its solution is not twice differentiable. This is done under...

We consider a stochastic model for a defined-contribution pension fund in continuous time. In particular, we focus on the portfolio problem of a fund manager who wants to maximize the expected utility of his terminal wealth in a complete financial market with stochastic interest rate. The fund...