Business College

Suppose you are the money manager of a $5.21 million investment fund. The fund consists of four stocks with the following investments and betas: Stock Investment Beta A $ 320,000 1.50 B 780,000 (0.50) C 1,260,000 1.25 D 2,850,000 0.75 If the market's required rate of return is 10% and the risk-free rate is 5%, what is the fund's required rate of return

Answers

Answer 1

Answer: 8.65%

Explanation:

First find the weights of the stocks:

Total = 320,000 + 780,000 + 1,260,000 + 2,850,000

= $‭5,210,000‬

Stock A:

= 320,000 / ‭5,210,000‬

= 6.14%

Stock B:

= 780,000 / ‭5,210,000‬

= 14.97%

Stock C:

= 1,260,000 / ‭5,210,000‬

= 24.18%

Stock D:

= 2,850,000 / ‭5,210,000‬

= 54.70%

Then calculate Portfolio Beta.

Portfolio beta = (6.14% * 1.50) + (14.97% * - 0.5) + (24.18% * 1.25) + (54.72% * 0.75)

= 0.7299

Required rate of return using Capital Asset Pricing Model (CAPM)

= Risk free rate + Beta * (Market return - risk free rate)

= 5% + 0.7299 * (10% - 5%)

= 8.65%

Related Questions

Branch Company, a building materials supplier, has $18,400,000 of notes payable due April 12, 2022. At December 31, 2021, Branch signed an agreement with First Bank to borrow up to $18,400,000 to refinance the notes on a long-term basis. The agreement specified that borrowings would not exceed 70% of the value of the collateral that Branch provided. At the date of issue of the December 31, 2021, financial statements, the value of Branch's collateral was $19,600,000. On its December 31, 2021, balance sheet, Branch should classify the notes as follows:

a. $18,400,000 of long-term liabilities.
b. $18,400,000 of current liabilities.
c. $3,680,000 long-term and $14,720,000 current liabilities.
d. $15,680,000 long-term and $2,720,000 current liabilities.

Answers

Answer:

The answer is "Choice d"

Explanation:

Please find the complete question in the attached file.

Follows are the calculation to this question:  

The notes on payable= [tex]\$18,400,000[/tex]

Calculating the Refinancing ability:

[tex]=\$ 19,600,000 \times 80\% \\\\ = \$ 19,600,000 \times \frac{80}{100} \\\\ = \$ 196,000 \times 80 \\\\ =\$15,680,000[/tex]

The current liability=  [tex]\$2,720,000[/tex]

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