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photoshop1234 [79]

3 years ago

8

If during the year the portfolio manager sells all of the holdings of stock D and replaces it with 150,000 shares of stock E at

$30 per share and 150,000 shares of stock F at $40 per share, what is the portfolio turnover rate?Stock - Sahres - Price
A. 210,000 - $30
B. 310,000 - 35
C. 410,000 - 10
D. 610,000 - 15

1 answer:

eimsori [14]3 years ago

7 0

Answer:

The correct answer is 30.10%.

Explanation:

According to the scenario, the given data are as follows:

Stock A price = $30

Value of stock A = $30 × 210,000 = $6,300,000

Stock B price = $35

Value of stock B = $35 × 310,000 = $10,850,000

Stock C price = $10

Value of stock C = $10 × 410,000 = $4,100,000

Stock D price = $15

Value of stock D = $15 × 610,000 = $9,150,000

So, We can calculate the portfolio turnover rate by using following formula:

Portfolio turnover rate = Value of stocks sold or purchase / Market Value of Assets

Where, Market Value of Assets = Value of stock A + Value of stock B +Value of stock C + Value of stock D

= $6,300,000 + $10,850,000 + $4,100,000 + $9,150,000

= $30,400,000

And Value of stock sold = value of stock D = $9,150,000

So, by putting the following values in the formula:

= Turnover Rate = 9,150,000 / 30,400,000

= 30.10%

Hence, the portfolio turnover rate is 30.10%.

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Answer:

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Transaction Assets = Liabilities + Stockholders' Equity

1. 15,000 = 0 15,000

2. 9,000 = 9,000 0

3. 1,200 = 1,200 0

4. 2,400 = 2,400 0

5. -12,000+12,000 = 0 0

6. 3,000 = 0 3,000

7. -4,000 = -4,000 0

8. -2,400 = -2,400 0

9. 0 = -1,200 1,200

10. -1,000 = 0 -1,000

Totals $23,200 = $5,000 $18,200

Explanation:

a) Data and Analysis:

1. Cash, $15,000 Common Stock

2. Cash $9,000 Bank Loan $9,000

3. Cash $1,200 Deferred Revenue $1,200

4. Supplies $2,400 Accounts Payable $2,400

5. Prepaid Rent $12,000 Cash $12,000

6. Accounts Receivable $3,000 Service Revenue $3,000

7. Bank Loan $4,000 Cash $4,000

8. Accounts Payable $2,400 Cash $2,400

9. Deferred Revenue $1,200 Service Revenue $1,200

10. Dividends $1,000 Cash $1,000

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Answer:

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Answer:

Explanation:

From the given information:

The current price = $\dfrac{Dividend(D_o) \times (1+ Growth \ rate) }{\text{Cost of capital -Growth rate}}$

$15 = \dfrac{0.50 \times (1+ Growth rate)}{8\%-Growth rate}$

$15 \times (8 -Growth \ rate) = 0.50 +(0.50 \times growth \ rate)$

$1.20 - (15 \times Growth \ rate) = 0.50 + (0.50 \times growth \ rate)$

$0.70 = (15 \times growth \ rate) \\ \\ Growth \ rate = \dfrac{0.70}{15.50} \\ \\ Growth \ rate = 0.04516 \\ \\ Growth \ rate \simeq 4.52\% \\ \\$

2. The value of the stock

Calculate the earnings at the end of 5 years:

$Earnings (E_o) \times Dividend \ payout \ ratio = Dividend (D_o) \\ \\ Earnings (E_o) \times 35\% = \$0.50 \\ \\ Earnings (E_o) =\dfrac{\$0.50}{35\%} \\ \\ = \$1.42857$

$Earnings (E_5) year \ 5 = Earnings (E_o) \times (1 + Growth \ rate)^{no \ of \ years} \\ \\ Earnings (E_5) year \ 5 = \$1.42857 \times (1 + 12\%)^5 \\ \\ Earnings (E_5) year \ 5 = \$2.51763$

Terminal value year 5 = $\dfrac{Earnings (E_5) \times (1+ Growth \ rate)}{Interest \ rate - Growth \ rate}$

$=\dfrac{\$2.51763\times (1+0.04516)}{8\%-0.04516}$

=$75.526

Discount all potential future cash flows as follows to determine the stock's value:

$\text{Value of stock today} =\bigg( \sum \limits ^{\text{no of years}}_{year =1} \dfrac{Dividend (D_o) \times 1 +Growth rate ) ^{\text{no of years}}}{(1+ interest rate )^{no\ of\ years} }$

$+ \dfrac{Terminal\ Value }{(1+interest \ rate )^{no \ of \ years}} \Bigg)$

$\implies \bigg(\dfrac{\$0.50\times (1 + 12\%)^1) }{(1+ 8\%)^{1} }+ \dfrac{\$0.50\times (1+12\%)^2 }{(1+8\% )^{2}}+ \dfrac{\$0.50\times (1+12\%)^3 }{(1+8\% )^{3}} + \dfrac{\$0.50\times (1+12\%)^4 }{(1+8\% )^{4}} + \dfrac{\$0.50\times (1+12\%)^5 }{(1+8\% )^{5}} + \dfrac{\$75.526}{(1+8\% )^{5}} \bigg )$

$\implies \bigg(\dfrac{\$0.5600}{1.0800}+\dfrac{\$0.62720}{1.16640}+\dfrac{\$0.70246}{1.2597}+\dfrac{\$0.78676}{1.3605}+\dfrac{\$0.88117}{1.4693}+ \dfrac{\$75.526}{1.4693} \bigg)$

=$ 54.1945

As a result, the analysts value the stock at $54.20, which is below their own estimates.

3. The value of the stock

Calculate the earnings at the end of 5 years:

$Earnings (E_o) \times Dividend payout ratio = Dividend (D_o) \\ \\ Earnings (E_o) \times 35\% = \$0.50 \\ \\ Earnings (E_o) =\dfrac{\$0.50}{35\%}\\ \\ = \$1.42857$

$Earnings (E_5) year \ 5 = Earnings (E_o) \times (1 + Growth \ rate)^{no \ of \ years} \\ \\ Earnings (E_5) year \ 5 = \$1.42857 \times (1 + 12\%)^5 \\ \\ Earnings (E_5) year \ 5 = \$2.51763 \\ \\$

Terminal value year 5 = $\dfrac{Earnings (E_5) \times (1+ Growth \ rate)\times dividend \ payout \ ratio}{Interest \ rate - Growth \ rate}$

$=\dfrac{\$2.51763\times (1+ 7 \%) \times 20\%}{8\%-7\%}$

=$53.8773

Discount all potential cash flows as follows to determine the stock's value:

$\text{Value of stock today} =\bigg( \sum \limits ^{\text{no of years}}_{year =1} \dfrac{Dividend (D_o) \times 1 + Growth rate ) ^{\text{no of years}}}{(1+ interest rate )^{no \ of\ years} }+ \dfrac{Terminal \ Value }{(1+interest \ rate )^{no \ of \ years }} \bigg)$

$\implies \bigg( \dfrac{\$0.50\times (1 + 12\%)^1) }{(1+ 8\%)^{1} }+ \dfrac{\$0.50\times (1+12\%)^2 }{(1+8\% )^{2}}+ \dfrac{\$0.50\times (1+12\%)^3 }{(1+8\% )^{3}} + \dfrac{\$0.50\times (1+12\%)^4 }{(1+8\% )^{4}} + \dfrac{\$0.50\times (1+12\%)^5 }{(1+8\% )^{5}} + \dfrac{\$53.8773}{(1+8\% )^{5}} \bigg)$

$\implies \bigg (\dfrac{\$0.5600}{1.0800}+\dfrac{\$0.62720}{1.16640}+\dfrac{\$0.70246}{1.2597}+\dfrac{\$0.78676}{1.3605}+\dfrac{\$0.88117}{1.4693}+ \dfrac{\$53.8773}{1.4693} \bigg)$

=$39.460

As a result, the price is $39.460, and the other strategy would raise the value of the shareholders. Not this one, since paying a 100% dividend would result in a price of $54.20, which is higher than the current price.

Notice that the third question depicts the situation after 5 years, but the final decision will be the same since we are discounting in current terms. If compounding is used, the future value over 5 years is just the same as the first choice, which is the better option.

The presumption in the second portion is that after 5 years, the steady growth rate would be the same as measured in the first part (1).

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