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Lecture

Portfolio Optimization: Risk and Return

In course

MGT-482: Principles of finance

The course provides a market-oriented framework for analyzing the major financial decisions made by firms. It provides an introduction to valuation techniques, investment decisions, asset valuation, financing decisions, and sustainable finance. ...

Description

This lecture covers the historical tradeoff between risk and return in large portfolios, the concept of portfolio returns uniquely defined by portfolio weights, the benefits of diversification in reducing risk, and the calculation of expected portfolio returns. It also explores the impact of correlation on portfolio risk, the effects of diversification on firm-specific and market-wide risks, and the implications of short sales on portfolio volatility. The lecture concludes with the identification of the tangent portfolio using the Sharpe Ratio and the strategies for reducing risk through risk-free assets.

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Instructor

Erwan Morellec

ERWAN MORELLEC is Swiss Finance Institute Professor and Professor of Finance at the Ecole Polytechnique Fédérale de Lausanne (EPFL), Switzerland. He is also the Head of the SFI Léman Centre, the Head of the SFI nation-wide PhD Program, and a CEPR Research Fellow. Formerly on the faculties of the Simon School of Business of the University of Rochester (USA) and HEC Lausanne (Switzerland), he holds a Ph.D. in Finance from HEC Paris. Professor Morellec is most active in the areas of corporate finance and banking and has taught several courses on these subjects to undergraduate, MBA, and doctoral students. His recent research examines the effects of prudential regulation on banks' insolvency risk or the effects of financial market imperfections on corporate investment, financing, and risk management decisions. His research has been presented at major academic conferences and seminar series around the world and is published in top rated academic journals such as the Journal of Finance, the Journal of Financial Economics, the Review of Financial Studies, and the Journal of Economic Theory. He has received several research and teaching awards.

Official source

Ontological neighbourhood

Economics

Microeconomics: Financial economics

Statistics

Statistical inference: Mathematical statistics

Related concepts (32)

Modern portfolio theory

Modern portfolio theory (MPT), or mean-variance analysis, is a mathematical framework for assembling a portfolio of assets such that the expected return is maximized for a given level of risk. It is a formalization and extension of diversification in investing, the idea that owning different kinds of financial assets is less risky than owning only one type. Its key insight is that an asset's risk and return should not be assessed by itself, but by how it contributes to a portfolio's overall risk and return.

Portfolio optimization

Portfolio optimization is the process of selecting the best portfolio (asset distribution), out of the set of all portfolios being considered, according to some objective. The objective typically maximizes factors such as expected return, and minimizes costs like financial risk. Factors being considered may range from tangible (such as assets, liabilities, earnings or other fundamentals) to intangible (such as selective divestment). Modern portfolio theory was introduced in a 1952 doctoral thesis by Harry Markowitz; see Markowitz model.

Portfolio (finance)

In finance, a portfolio is a collection of investments. The term “portfolio” refers to any combination of financial assets such as stocks, bonds and cash. Portfolios may be held by individual investors or managed by financial professionals, hedge funds, banks and other financial institutions. It is a generally accepted principle that a portfolio is designed according to the investor's risk tolerance, time frame and investment objectives. The monetary value of each asset may influence the risk/reward ratio of the portfolio.

Intertemporal portfolio choice

Intertemporal portfolio choice is the process of allocating one's investable wealth to various assets, especially financial assets, repeatedly over time, in such a way as to optimize some criterion. The set of asset proportions at any time defines a portfolio. Since the returns on almost all assets are not fully predictable, the criterion has to take financial risk into account. Typically the criterion is the expected value of some concave function of the value of the portfolio after a certain number of time periods—that is, the expected utility of final wealth.

Diversification (finance)

In finance, diversification is the process of allocating capital in a way that reduces the exposure to any one particular asset or risk. A common path towards diversification is to reduce risk or volatility by investing in a variety of assets. If asset prices do not change in perfect synchrony, a diversified portfolio will have less variance than the weighted average variance of its constituent assets, and often less volatility than the least volatile of its constituents.

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