CALCULATING EXPECTED RETURNS USING THE CAPITAL
ASSET PRICING MODEL
If you invest in Microsoft, what return do you
expect on your investment? 8 percent? 12 percent? 20 percent? Would you expect
different returns on the same investment in AT&T? You should, because investments
in these companies don't involve the same degree of risk. The CAPM provides an
easy-to-use formula for calculating expected returns on individual stocks based
upon their risk:
Where:
E(ri)
is the expected return on stock i
rf is the current risk-free rate (the rate of return on investments
with virtually no risk, such as U.S. Treasury bills)
Bi
is the beta for firm i
E(rM)
is the expected return on the overall market
Suppose a technology company called Risky.com
has a beta of 2, the expected return on the market is 10 percent, and the current
risk-free rate is 5 percent. What is the expected return on an investment in
Risky.com? Plugging these numbers into the formula, we find that we should
expect a return of 15 percent for Risky.com.
You now have an introduction to a concept
that has helped many people achieve their financial goals.