Valuing American Derivatives by Least Squares Methods

Least Squares estimators are notoriously known to generate sub-optimal exercise decisions when determining the optimal stopping time. The consequence is that the price of the option is underestimated. We show how variance reduction methods can be implemented to obtain more accurate option prices. We also extend the Longsta¤ and Schwartz (2001) method to price American options under stochastic volatility. These are two important contributions that are particularly relevant for practitioners. Finally, we extend the Glasserman and Yu (2004b) methodology to price Asian options and basket options.

Infrequent Fiscal Stabilization

This paper studies discretionary non-cooperative monetary and fiscal policy stabilization in a New Keynesian model, where the fiscal policymaker uses a distortionary taxe as the policy instrument and operates with long periods between optimal time-consistent adjustments of the instrument. We demonstrate that longer fiscal cycles result in stronger complementarities between the optimal actions of the monetary and fiscal policymakers. When the fiscal cycle is not very long, the complementarities lead to expectation traps. However, with a sufficiently long fiscal cycle — one year in our model — no learnable time-consistent equilibrium exists. Constraining the fiscal policymaker in its actions may help to avoid these adverse effects.