What is the expected return of a portfolio composed of 70% of the optimal risky portfolio and 30% of the risk-free asset?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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What is the expected return of a portfolio composed of 70% of the optimal risky portfolio and 30% of the risk-free asset? 

Intro
Assume that there are only two stocks in the economy, stock A and stock B. The
risk-free asset has a return of 3%. The optimal risky portfolio, i.e., the portfolio with
the highest Sharpe ratio, is given below:
A
1
2 Expected return
3 Variance
4 Standard deviation
5 Covariance
6
O)
7
Optimal risky
portfolio
8 Weights
9 Expected return
10 Variance
11 Standard deviation
12 Sharpe ratio
B
Stock A
0.062
0.1089
0.33
0.02178
0.1062
0.0754
0.04403
0.2098
0.2164
с
Stock B Risk-free asset
0.077 0.03
0.0484
0.22
0.894 =1-B8
=B8*B2+C8*C2
D
=B8^2*B3+C8^2*C3+2*B8*C8*B5
=B10^0.5
=(B9-D2)/B11
Transcribed Image Text:Intro Assume that there are only two stocks in the economy, stock A and stock B. The risk-free asset has a return of 3%. The optimal risky portfolio, i.e., the portfolio with the highest Sharpe ratio, is given below: A 1 2 Expected return 3 Variance 4 Standard deviation 5 Covariance 6 O) 7 Optimal risky portfolio 8 Weights 9 Expected return 10 Variance 11 Standard deviation 12 Sharpe ratio B Stock A 0.062 0.1089 0.33 0.02178 0.1062 0.0754 0.04403 0.2098 0.2164 с Stock B Risk-free asset 0.077 0.03 0.0484 0.22 0.894 =1-B8 =B8*B2+C8*C2 D =B8^2*B3+C8^2*C3+2*B8*C8*B5 =B10^0.5 =(B9-D2)/B11
Expert Solution
Step 1

Expected return is the amount of money that an investor can expect to either gain or lose with regards to an investment made in a portfolio.

 

It is the anticipated profit or loss.

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