We show that the Heston volatility or equivalently the Cox-Ingersoll-Ross process is Malliavin differentiable and give an explicit expression for the derivative. This result assures the applicability of Malliavin calculus in the framework of the Heston stochastic volatility model and the...

In this article we show how the classical probabilistic technique of Malliavin calculus can be applied to study interesting aspects in the theory of stochastic differential games. These include in particular the aspect of information asymmetry. We identify the limitations of the classical setup...

We combine methods for portfolio optimization in incomplete markets which are due to Karatzas et al. [6] with methods proposed by Nualart based on Malliavin Calculus to model insider trading within a stochastic volatility model. We compute the optimal portfolio within a certain set of insider...

We implement the Heston stochastic volatility model by using multidimensional Ornstein-Uhlenbeck processes and a special Girsanov transformation, and consider the Malliavin calculus of this model. We derive explicit formulas for the Malliavin derivatives of the Heston volatility and the...

We develop a dynamic valuation model of the hedge fund seeding business by solving the consumption and portfolio-choice problem for a risk-averse manager who launches a hedge fund through a seeding vehicle. This vehicle, i.e. fees-for-seed swap, specifies that a strategic partner (seeder)...

In this paper we extend the consumption-investment life cycle model for an uncertain-lived agent, proposed by Richard (1974), to allow for flexible labor supply. We further study the consumption, labor supply and portfolio decisions of an agent facing age-dependent mortality risk, as presented...

We consider a diffusion (Xt) satisfying the stochastic differential equation dXt = agrave;3B2(Xt, u)dt agrave;3C3(Xt, v)dWt where u and v are parameters and consider the problem of minimizing certain functionals of the form View the MathML source in u and v where ti set membership, variant [0, T]...

We develop a continuous-time evolutionary market model where prices are endogenously generated by supply and demand. Investment strategies are assumed to be fix-mix, which means that the relative budget shares are constant in time. The model is therefore a hybrid. While given portfolio rules...

We analyze how the presence of financial markets effects the optimal exercise of real options for a risk averse agent. In this process we examine the role of the minimal martingale measure and the Capital Asset Pricing Model (CAPM). Using value-matching and smooth-pasting conditions, we...

Futures on fresh farmed salmon traded at the Fish Pool market in Norway are analysed in the context of the Capital Asset Pricing Model (CAPM) and a Fama & French three-factor model where contracts are separated based on their maturities. Looking into 1 month; 6 months and 12 months contracts, we...