According to the Becker-Murphy model, the consumption of a habitual good follows from forward-looking, maximizing, and time consistent choices on the basis of specific preferences. The ongoing use of such a good builds up a stock of consumption capital which, in turn, affects both its present...

This paper makes use of perturbation theory to solve analytically a class of robust control problems implied by Anderson, Hansen and Sargent (2000) (AHS (2000)) model of a preference for robustness. For the constant opportunity set model, we provide (i) asymptotic expressions that characterize...

We recall some fundamentals on Levy processes. Then the Gamma distribution, the Variance Gamma process and option pricing for this process are considered in detail. To implement the Variance Gamma model for option pricing, we use the fast Fourier transform, time change and discuss error bounds

We consider implied volatility, time-dependent volatility, local volatility and stochastic volatility. We derive relationships between the different concepts. The relationships are of an exact analytical type if this is possible, else we use expansions to obtain approximate expressions. We close...

We price derivatives defined for different asset classes with a full stochastic dependence structure. We consider jointly geometric Brownian motions and mean-reversion processes with a a stochastic variance-covariance matrix driven by a Wishart process. These models cannot be treated within the...

Online banking fraud occurs whenever a criminal can seize accounts and transfer funds from an individual's online bank account. Successfully preventing this requires the detection of as many fraudsters as possible, without producing too many false alarms. This is a challenge for machine learning...

We develop a simple model of labor market participation, human capital degradation, and re-training. We focus on how non-participation, as a distinct state from unemployment and employment, is determined by the welfare system in interaction with labor market conditions and personal...