You have just joined a small foundation as an investment officer. The board has approved...
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Finance
You have just joined a small foundation as an investment officer. The board has approved any of the following six assets to be purchased and/or shorted by the fund. The Chief Investment Officer would like you to build the optimal portfolio. The historical monthly returns, standard deviations and correlations coefficients are listed below.
Asset#
Name
Ticker
SHY
TIP
TLT
IVV
GLD
VNQ
Monthly Return
Monthly Standard Deviation
0
iShares 1-3 Year Treasury Bond ETF
SHY
1.00
0.32
0.56
-0.40
0.32
-0.17
0.13%
0.34%
1
iShares TIPS Bond ETF
TIP
0.32
1.00
0.51
0.24
0.52
0.39
0.33%
1.64%
2
iShares 20+ Year Treasury Bond ETF
TLT
0.56
0.51
1.00
-0.32
0.25
-0.01
0.53%
4.05%
3
iShares Core S&P 500 ETF
IVV
-0.40
0.24
-0.32
1.00
0.04
0.74
0.86%
4.51%
4
SPDR Gold Shares
GLD
0.32
0.52
0.25
0.04
1.00
0.09
0.44%
5.13%
5
Vanguard Real Estate ETF
VNQ
-0.17
0.39
-0.01
0.74
0.09
1.00
0.70%
6.69%
If the foundation decides to invest 90% in the optimal risky portfolio and 10% in the risk-free asset, what is the expected monthly return of the portfolio?
Enter your answer as a percentage with four digits to the right of the decimal
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