Calculate the expected portfolio return

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Reference no: EM133056196

Suppose you are a US investor looking for international diversification opportunities. Your investment advisor offers you an international equity index that expects annual returns of 18%, but the volatility of these returns is 48%. This international index comprises other developed countries as well as some emerging economies. The expected returns, volatility, and correlations are provided below:

 

Risk-Free Rate

US Equity Index Returns (annual)

International Equity Index Returns (annual)

Expected Returns

3%

8%

18%

Std. Deviation (Volatility)

0%

18%

48%

Correlation US Equity Index

0

1

0.4

Correlation International Equity Index

0

0.4

1

a. Calculate the expected portfolio return, standard deviation, and Sharpe ratios assuming the weights for the US and International equity indexes are as follows:

 

US Equity index returns (Weight)

International equity index returns (Weight)

Expected Return

Std. Deviation

Slope of CAL (Sharpe Ratio)

1

0

100%

 

 

 

2

10%

90%

 

 

 

3

20%

80%

 

 

 

4

30%

70%

 

 

 

5

40%

60%

 

 

 

6

50%

50%

 

 

 

7

60%

40%

 

 

 

8

70%

30%

 

 

 

9

80%

20%

 

 

 

11

90%

10%

 

 

 

12

100%

0%

 

 

 

Reference no: EM133056196

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