Modern Portfolio Theory

Authors

W. Brent Lindquist, Texas Tech University
Svetlozar T. Rachev, Texas Tech University
Yuan Hu, University of California, San Diego
Abootaleb Shirvani, Kean University

Document Type

Article

Publication Date

1-1-2022

Abstract

The basic elements of modern portfolio theory are covered in this Chapter. Starting from the basics of price return time series, the authors introduce Markowitz’s mean variance optimization and the central concept of the efficient frontier. Extensions to other risk measure optimization methods within the portfolio theory framework are covered, including: tangent portfolio optimization which exploits the relationship between the efficient frontier and the capital market line; minimization of the conditional value-at-risk, a tail-risk measure replacing the variance; and the Black–Litterman model, designed to address issues appearing in mean variance optimization. The classical implementation of these optimization techniques using moving windows of historical asset return data is developed.

Publication Title

Dynamic Modeling and Econometrics in Economics and Finance

First Page Number

29

Last Page Number

48

DOI

10.1007/978-3-031-15286-3_3

Recommended Citation

Lindquist, W. Brent; Rachev, Svetlozar T.; Hu, Yuan; and Shirvani, Abootaleb, "Modern Portfolio Theory" (2022). Kean Publications. 713.
https://digitalcommons.kean.edu/keanpublications/713