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%

From your analysis, if the foundation decides to invest in the optimal portfolio which asset classes should the foundation short? SPDR Gold Shares & Vanguard Real Estate ETF iShares TIPS Bond ETF only iShares TIPS Bond ETF & Vanguard Real Estate ETF No asset classes should be shorted, the foundation has a conservative investment mandate SPDR Gold Shares only Vanguard Real Estate ETF only

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