Lecture

Portfolio Optimization: Risk and Return

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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.

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)

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.

Greeks (finance)

In mathematical finance, the Greeks are the quantities representing the sensitivity of the price of derivatives such as options to a change in underlying parameters on which the value of an instrument or portfolio of financial instruments is dependent. The name is used because the most common of these sensitivities are denoted by Greek letters (as are some other finance measures). Collectively these have also been called the risk sensitivities, risk measures or hedge parameters. The Greeks are vital tools in risk management.

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.

Risk-free rate

The risk-free rate of return, usually shortened to the risk-free rate, is the rate of return of a hypothetical investment with scheduled payments over a fixed period of time that is assumed to meet all payment obligations. Since the risk-free rate can be obtained with no risk, any other investment having some risk will have to have a higher rate of return in order to induce any investors to hold it.

Volatility (finance)

In finance, volatility (usually denoted by σ) is the degree of variation of a trading price series over time, usually measured by the standard deviation of logarithmic returns. Historic volatility measures a time series of past market prices. Implied volatility looks forward in time, being derived from the market price of a market-traded derivative (in particular, an option).

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