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Reading 68: LOS a (Part 2) ~ Q16- 19

16Given the following information, what is the expected return on the portfolio of the two funds?

   
        

The Washington Fund

The Jefferson Fund

Expected Return

30%

36%

Variance

0.0576

0.1024

Investment

$2,000,000

$6,000,000

Correlation

0.40

A)   34.5%.

B)   31.5%.

C)   9.1%.

D)   33.0%.


17Which of the following statements is FALSE regarding modern portfolio theory?

A)   The capital market line is developed under the assumption that investors can borrow or lend at the risk-free rate.

B)   All portfolios on the capital allocation line are perfectly negatively correlated.

C)   Risky assets have uncertain future returns, and uncertainty is measured by the variance or standard deviation of returns.

D)   For a portfolio made up of the risk-free asset and a risky asset, the standard deviation is the weighted proportion of the standard deviation of the risky asset.


18Joe Janikowski owns a portfolio consisting of 2 stocks. Janikowski has compiled the following information:

Stock

Topper Manufacturing

 

 

 

Base Construction

Expected Return (percent

12

 

 

 

11

Standard Deviation (percent)

10

 

 

 

15

Portfolio Weighting (percent)

75

 

 

 

25

Correlation

 

 

 

0.22

 

 

 

The expected return for the portfolio is:

A)   11.75 percent.

B)   11.50 percent.

C)   11.00 percent.

D)   12.00 percent.


19.The standard deviation of the portfolio is closest to:

A)   0.0839.

B)   0.0095.

C)   0.0909.

D)   0.0070.



[此贴子已经被作者于2008-4-18 15:41:31编辑过]

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16Given the following information, what is the expected return on the portfolio of the two funds?

   

The Washington Fund

The Jefferson Fund

Expected Return

30%

36%

Variance

0.0576

0.1024

Investment

$2,000,000

$6,000,000

Correlation

0.40

A)   34.5%.

B)   31.5%.

C)   9.1%.

D)   33.0%.

The correct answer was A)

First calculate the portfolio weights on each fund:

WWash = $2 million/$8 million = 0.25

WJeff = $6 million/$8 million = 0.75

The expected portfolio return is the weighted average of the funds' expected returns:

E(RP) = (0.25)(30%) + (0.75)(36%) = 34.5%.

17Which of the following statements is FALSE regarding modern portfolio theory?

A)   The capital market line is developed under the assumption that investors can borrow or lend at the risk-free rate.

B)   All portfolios on the capital allocation line are perfectly negatively correlated.

C)   Risky assets have uncertain future returns, and uncertainty is measured by the variance or standard deviation of returns.

D)   For a portfolio made up of the risk-free asset and a risky asset, the standard deviation is the weighted proportion of the standard deviation of the risky asset.

The correct answer was B)

All portfolios on the capital allocation line are perfectly positively correlated. The other statements are all true.

18Joe Janikowski owns a portfolio consisting of 2 stocks. Janikowski has compiled the following information:

Stock

Topper Manufacturing

 

Base Construction

Expected Return (percent

12

 

11

Standard Deviation (percent)

10

 

15

Portfolio Weighting (percent)

75

 

25

Correlation

 

0.22

 

The expected return for the portfolio is:

A)   11.75 percent.

B)   11.50 percent.

C)   11.00 percent.

D)   12.00 percent.

The correct answer was A)

Expected return is computed by weighting each stock as a percentage of the entire portfolio, and then multiplying each stock by the expected return. The expected return is: ((0.75 * 12) + (0.25 * 11) =) 11.75.

19.The standard deviation of the portfolio is closest to:

A)   0.0839.

B)   0.0095.

C)   0.0909.

D)   0.0070.

The correct answer was C)

The formula for the standard deviation of a two-stock portfolio is: the square root of [((0.75)² * (0.10)²) + ((0.25)² * (0.15)²) + (2 * (0.75) * (0.25) * (0.22) * (0.15) * (0.10)) =] 0.0909.

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