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Reading 50: An Introduction to Portfolio Management - LOS

Q7. An investor owns the following three-stock portfolio today.

Stock         Market Value            Expected Annual Return

K                $4,500                            14%

L                $6,300                            9%

M               $3,700                            12%

The expected portfolio value two years from now is closest to:

A)   $16,150.

B)   $17,975.

C)   $17,870.

Stock

Market Value  × 

Expected Annual Return

=   Total

K

$4,500   ×

1.14 × 1.14

=   5,848.20

L

$6,300   ×

1.09 × 1.09

=   7,485.03

M

$3,700   ×

1.12 × 1.12

=   4,641.28

 

 

Total  

=   17,974.51

An investor owns the following three-stock portfolio.

Stock

Market Value

Expected Return

A

$5,000

12%

B

$3,000

8%

C

$4,000

9%

Q8. The expected return is closest to:

A)   10.00%.

B)   29.00%.

C)   9.67%.

答案和详解如下:

Q7. An investor owns the following three-stock portfolio today.

Stock         Market Value            Expected Annual Return

K                $4,500                            14%

L                $6,300                            9%

M               $3,700                            12%

The expected portfolio value two years from now is closest to:

A)   $16,150.

B)   $17,975.

C)   $17,870.

Correct answer is B)

The easiest way to approach this problem is to determine the value of each stock two years in the future and to sum up the total values of each stock.

Stock

Market Value  × 

Expected Annual Return

=   Total

K

$4,500   ×

1.14 × 1.14

=   5,848.20

L

$6,300   ×

1.09 × 1.09

=   7,485.03

M

$3,700   ×

1.12 × 1.12

=   4,641.28

 

 

Total  

=   17,974.51

An investor owns the following three-stock portfolio.

Stock

Market Value

Expected Return

A

$5,000

12%

B

$3,000

8%

C

$4,000

9%

Q8. The expected return is closest to:

A)   10.00%.

B)   29.00%.

C)   9.67%.

Correct answer is A)

To calculate this result, we first need to calculate the portfolio value, then determine the weights for each stock, and then calculate the expected return.

Portfolio Value: = sum of market values = 5,000 + 3,000 + 4,000 = 12,000

Portfolio Weights:

WA = 5,000 / 12,000 = 0.4167

WB = 3,000 / 12,000 = 0.2500

WC = 4,000 / 12,000 = 0.333

Expected Return

ERportfolio = S(ERstock)(W% of funds invested in each of the stocks)

ER = wAERA + wBERB + wCERC, where ER = Expected Return and w = % invested in each stock.

ER = (0.4167 × 12.0) + (0.2500 × 8.0) + (0.333 × 9.0) = 10.0%

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