High-dimensional pricing problems frequently arise with financial options (examples include basket options, outperformance options, interest-rate and foreign currency options) and real options. American versions of these options, i.e., where the owner has the right to exercise early, are...

This paper proposes and tests an approximation of the solution of a class of piecewise deterministic control problems, typically used in the modeling of manufacturing flow processes. This approximation uses a stochastic programming approach on a suitably discretized and sampled system. The...

We analyze the joint convergence of sequenes of discounted stock prices and Radon-Nycodym derivatives of the minimal martingale measure when interest rates are stochastic. Therefrom we deduce the convergence of option values in either complete or incomplete markets. We illustrate the general...

An overlapping generations model of an exchange economy is considered, with individuals having a finite expected life-span. Conditions concerning birth, death, inheritance and bequests are fully specified. Under such conditions, the existence of stationary Markov equilibrium is established in...

We model today's privatized crop research industry as a small number of firms, developing and selling differentiated products to heterogeneous producers. Crop variety research is modeled as a search process, which allows us to differentiate between applied and basic research and recognize...

A convergence model with wealth accumulation subject to i.i.d. random shocks is examined. The transfer function shows what k_{t+1} - wealth at t+1 - would be, given k_t, with no shock: It has a positive slope, but its concavity/convexity is indeterminate. The stationary distribution of wealth...

This thesis advances game theory by formally analysing the implications of replacing some of its most stringent assumptions with alternatives that –at least in certain contexts– have received greater empirical support. Specifically, this thesis makes two distinct contributions in the field...

With increasing wind power penetration more and more volatile and weather dependent energy is fed into the German electricity system. To manage the risk of windless days and transfer revenue risk from wind turbine owners to investors wind power derivatives were introduced. These insurance-like...

We derive forecast confidence bands using a Global Projection Model covering the United States, the euro area, and Japan. In the model, the price of oil is a stochastic process, interest rates have a zero floor, and bank lending tightening affects the United States. To calculate confidence...

The aim of this article is to use probabilistic ideas to study predictive reasoning based on hypotheses and models, but without using Ito calculus, without writing any stochastic differential equations, in fact without writing any formulas at all. The aim is to extract from the study of...