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%

Given the above information, which asset class looks to have the lowest sharpe ratio?

Vanguard Real Estate ETF

iShares TIPS Bond ETF

iShares Core S&P 500 ETF

SPDR Gold Shares

iShares 20+ Year Treasury Bond ETF

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