The objective of this course is to provide an introduction to the mathematical techniques necessary to study stochastic dynamic economies with particular emphasis on models of growth and asset pricing. The first part of the course will cover basic results in continuous time stochastic process, and develop the essentials of stochastic calculus. In the second part, those tools will be used to analyze a variety of issues related to growth and asset pricing. A partial sample of the questions that will be discussed includes:
" The effects of policy and real instability on growth paths.
" The impact of tax and fiscal policies on economic performance.
" The equilibrium determination of asset prices and their relationship with real shocks.
" The connection between aggregate quantities and the price of fixed income securities.