Portfolio Theory & CAPM
Rate of Return
Year Asset A Asset B Market
1 21.0% 29.0% 11.0%
2 -11.0% -16.0% 12.0%
3 10.0% 12.0% 6.0%
4 -9.0% 33.0% -4.0%
5 19.0% -14.0% -7.0%
Asset A Asset B Market
1 Average Return
2 Std Dev of Returns (
Hint: Use STDEVP function)
3 Correlation (A,
B) (Hint: Use correl function)
4 Calculate Portfolio
Expected Returns and Standard Deviation
Use the following formula
to calculate the portfolio standard deviation
ϭP =√ (wAϭA)2 + (wBϭB)2 +(2 wA wBϭAϭB ρ(A,B))
=(((wA*ϭA) ^ 2) + ((wB*ϭB)^2)+(2 *wA* wB *ϭA *ϭB(A,B))))^.5
Where wA andwB are the % of assets in
Asset A and B respectively
ϭA andϭB are the respective standard deviations of return and
ρ(A,B)).is the correlation of returns
between asset A and B
Portfolio Std Dev. Portfolio Expected Return
% Asset A % Asset B
0% 100%
25% 75%
50% 50%
75% 25%
100% 0%
5 Plot Portfolio Returns (X
axis) against Portfolio Standard Deviation (risk) (X axis)
(Hint: Use Insert and then select Scatter Diagram
option)
6 Calculate Betas for Asset
A and Asset B
(Hint: β = (σA ρA,M) / σM or use slope function)
Beta for Asset A =
Beta for Asset B =
7 Calculate Required Return
for Asset A and Asset B
Risk Free Rate = 2%
Market Return = 12%
Required Return for Asset
A =
Required Return for Asset
B =