Thesis (MSc (Mathematical Sciences))--University of Stellenbosch, 2011.

ENGLISH ABSTRACT: In this thesis, we propose to use Levy processes to model the dynamics of asset prices. Inthe first part, we deal with single asset options and model the log stock prices with a Levyprocess. We employ pure jump Levy processes of infinite activity, in particular variancegamma...

This paper examines the impact and potential interactions of health, education and consumption dimensions of persistent poverty at the household level. Our application is to indictors of assets, undernutrition, and illiteracy drawn from the Ethiopia Rural Household Survey (ERHS) panel data set....

We introduce new approaches to research on poverty traps, focusing on changes in patterns of equilibria over time and across regions, applied to the Ethiopia Rural Household Survey. We revisit the incidence of multiple equilibria using new nonparametric techniques; we also emphasize conditions...

This paper applies Carter and Barrett’s theory of assets poverty traps to a unique longitudinal survey from rural Bangladesh. Non-parametric and parametric methods are used to examine the shape of the dynamic asset frontier, the number of equilibria, and whether land and nonland assets...

"This paper uses panel data from Bangladesh, Ethiopia, and Malawi to examine the impacts of disasters on dynamic human capital production. Our empirical results show that accumulation of biological human capital prior to a disaster helps children maintain investments during the post-disaster...