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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