Finance and Financial Management Commons^™

A Machine Learning Approach To Stochastic Optimal Control, Pablo Ever Avalos

Open Access Theses & Dissertations

Merton's portfolio optimization problem is a well-renowned problem in financial mathematics which seeks to optimize the investment decision for an investor. In the simplest situation, the market consists of a risk-less asset (i.e. a bond) that pays back a relatively low interest rate, and a risky asset (i.e. a stock) that follows a geometric Brownian motion. The optimal allocation strategy of the investor's wealth is found by optimizing the expected utility along the stochastic evolution of the market. This thesis focuses on several different applications of this optimization problem. We look at pre-constructed analytical solutions and showcase the results. We …

New Algorithms For Optimal Portfolio Selection, Tanja Magoc

Open Access Theses & Dissertations

Over the past four thousand years, numerous techniques have been developed and used to address problems in Finance. These techniques include simple arithmetic calculations and probabilistic methods as well as intelligent systems techniques such as neural networks, genetic algorithms, multi-agent systems, and support vector machines. The techniques have been developed to accurately and quickly collect, validate, analyze, and integrate data that change dynamically.

The particular problem that we address in this Dissertation is the construction of efficient algorithms for the problem of an optimal portfolio selection, that is, algorithms that would accurately and in real time determine the best distribution …