15.401 Finance Theory
MIT Sloan MBA Program
Andrew W. Lo
Harris & Harris Group Professor, MIT Sloan School
Lectures 15–17: The CAPM and APT
© 2007–2008 by Andrew W. Lo
,Critical Concepts 15.401
Review of Portfolio Theory
The Capital Asset Pricing Model
The Arbitrage Pricing Theory
Implementing the CAPM
Does It Work?
Recent Research
Key Points
Reading
Brealey and Myers, Chapter 8.2 – 8.3
© 2007–2008 by Andrew W. Lo Slide 2
Lectures 15–17: The CAPM and APT
, Review of Portfolio Theory 15.401
Risk/Return Trade-Off
Portfolio risk depends primarily on covariances
– Not stocks’ individual volatilities
Diversification reduces risk
– But risk common to all firms cannot be diversified away
Hold the tangency portfolio M
– The tangency portfolio has the highest expected return for a given
level of risk (i.e., the highest Sharpe ratio)
Suppose all investors hold the same portfolio M; what must M be?
– M is the market portfolio
Proxies for the market portfolio: S&P 500, Russell 2000, MSCI, etc.
– Value-weighted portfolio of broad cross-section of stocks
© 2007–2008 by Andrew W. Lo Slide 3
Lectures 15–17: The CAPM and APT