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.

Saving and Re-building Lives: an Analysis of the Determinants of Disaster Relief

We analyse both theoretically and empirically, the factors that influence the amount of humanitarian aid which countries receive when they are struck by natural disasters. Our investigation particularly distinguishes between immediate disaster relief which helps the survival of victims and long term humanitarian aid given towards reconstruction and rehabilitation. The theoretical model is able to make predictions as well as explain some of the peculiarities in the empirical results. The empirical analysis, making use of some useful data sources, show that both short and long term humanitarian aid increase with number of people killed, financial loss and level of corruption, while GDP per capita has no effect. Number of people affected had no effect on short term aid, but significantly increased long term aid. Both types of aid increased if the natural disaster was an earthquake, tsunami or drought. In addition, short term aid increases in response to a flood while long term aid increases in response to storms.