Lecture

Efficient Portfolio: CAPM Application

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In course

FIN-401: Introduction to finance

The course provides provides an introduction to valuation techniques, investment decisions, asset valuation and portfolio choice, financing decisions, derivatives pricing, and sustainable finance. ...

Description

This lecture covers the concept of efficient portfolios in finance, focusing on the Capital Asset Pricing Model (CAPM). It explains the efficient frontier, minimum variance frontier, risk-free assets, and the tangent portfolio. The lecture also delves into the implications and applications of the CAPM, including the calculation of expected returns, risk premiums, and the relationship between beta and market risk.

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

Business

Business administration: Risk management

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.

Efficient frontier

In modern portfolio theory, the efficient frontier (or portfolio frontier) is an investment portfolio which occupies the "efficient" parts of the risk–return spectrum. Formally, it is the set of portfolios which satisfy the condition that no other portfolio exists with a higher expected return but with the same standard deviation of return (i.e., the risk). The efficient frontier was first formulated by Harry Markowitz in 1952; see Markowitz model. A combination of assets, i.e.

Volatility smile

Volatility smiles are implied volatility patterns that arise in pricing financial options. It is a parameter (implied volatility) that is needed to be modified for the Black–Scholes formula to fit market prices. In particular for a given expiration, options whose strike price differs substantially from the underlying asset's price command higher prices (and thus implied volatilities) than what is suggested by standard option pricing models. These options are said to be either deep in-the-money or out-of-the-money.

Implied volatility

In financial mathematics, the implied volatility (IV) of an option contract is that value of the volatility of the underlying instrument which, when input in an option pricing model (such as Black–Scholes), will return a theoretical value equal to the current market price of said option. A non-option financial instrument that has embedded optionality, such as an interest rate cap, can also have an implied volatility. Implied volatility, a forward-looking and subjective measure, differs from historical volatility because the latter is calculated from known past returns of a security.

Financial risk

Financial risk is any of various types of risk associated with financing, including financial transactions that include company loans in risk of default. Often it is understood to include only downside risk, meaning the potential for financial loss and uncertainty about its extent. A science has evolved around managing market and financial risk under the general title of modern portfolio theory initiated by Harry Markowitz in 1952 with his article, "Portfolio Selection".

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