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Questions 1 to 4: Celestila Moonn is an Equity analyst at QAR. Based on the following quantitative analysis (Tables 1, 2, 3 and 4), Moon

Questions 1 to 4:

Celestila Moonn is an Equity analyst at QAR. Based on the following quantitative analysis (Tables 1, 2, 3 and 4), Moon was asked to calculate expected returns, variance, covariance, correlation, portfolio standard deviation and expected portfolio return.

UMB Trust -Table - 1

Probability

Return

25%

-8%

40%

20%

35%

25%

UMB Trust -Table - 2

Period

Return

2013

17%

2012

-5%

2011

-19%

2010

22%

Table -3

Expected Return

Standard Deviation

Weight

UMA, Inc.

15%

0.18

0.65

UMD, Inc.

8%

0.25

0.35

The correlation between UMA and UMD is 0.25.

Moon was asked to create a portfolio from the below stocks. The following data is available for the stocks:

Table 4

UMA, Inc.

UMD, Inc.

Standard Deviation

19%

14%

Recommended weighting

40%

60%

2013 Return

-22%

12%

2012 Return

10%

7%

2011 Return

9%

3%

Based on data on Table 1, Moonn Calculated the expected return for UMB Trust:

A.

14.75%

B.

14%

C.

13.85%

QUESTION 2

1. Based on historical returns on Table 2, Moonn calculated variance of historical returns for UMB Trust:

A.

3.68%

B.

2.76%

C.

3.75%

QUESTION 3

1. Using the Table 1 data, Moon Calculated the expected Standard deviation of return for UMB Trust:

A.

13.31%

B.

7.69%

C.

14.75%

QUESTION 4

1. Moonn created a portfolio of two security, UMA and UMD. Based on the information on the Table 3, Moonn calculated the expected return and standard deviation of the UMA and UMD portfolio: .

A.

Expected Return

Standard Deviation

16.72%

13.59%

B.

12.55%

16.27%

C.

16.27%

12.55%

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