In this paper we show the impact of considering jumps in the return process of risky assets when deciding how to invest and consume throughout time. Agents derive their utilities from consumption over time. We consider an agent that invests in the financial market and in durable and perishable...

This paper studies optimal monetary policy in a framework that explicitly accounts for policymakers' uncertainty about the channels of transmission of oil prices into the economy. More specifically, using postwar US data, I examine the evolution of the policy recommendations originating from an...

In this paper we examine how model uncertainty due to the preference for robustness (RB) affects optimal taxation and the evolution of debt in the Barro tax-smoothing model (1979). We first study how the government spending shocks are absorbed in the short run by varying taxes or through debt...

We consider Constant Proportion Portfolio Insurance (CPPI) and its dynamic extension, which may be called Dynamic Proportion Portfolio Insurance (DPPI). It is shown that these investment strategies work within the setting of Föllmer's pathwise Itô calculus, which makes no probabilistic...

Since the end of the seventies Skiba points have been studied in infinite time optimal control problems with multiple steady states. At such a Skiba point the decision maker is indifferent between choosing trajectories that approach different steady states. This paper extends this theory towards...

There is a growing concern that risks of disease outbreak and pandemics are increasing over time. We consider optimal investments in prevention before an outbreak using an endogenous risk approach within an optimal control setting. Using the threat of pandemic influenza as an illustrative...

Software can be distributed closed source (proprietary) or open source (developed collaboratively). While a firm cannot sell open source software, and so loses potential sales revenue, the open source software development process can have a substantial positive impact on the quality of a...

Existing models of R&D are not easily reconciled with four observable aspects of R&D: initial technologies (ideas) need to be developed further, only a minority of initial ideas are successfully brought to the market, production and process innovations take place simultaneously (whereby,...

An implicit partial differential equation (PDE) method is used to determine the cost of hedging for a Guaranteed Lifelong Withdrawal Benefit (GLWB) variable annuity contract. In the basic setting, the underlying risky asset is assumed to evolve according to geometric Brownian motion, but this is...

Optimal control of dynamic econometric models has a wide variety of applications including economic policy relevant issues. There are several algorithms extending the basic case of a linear-quadratic optimization and taking nonlinearity and stochastics into account, but being still limited in a...