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New Heritage Doll Co
-
New Heritage Doll Co. is considering opening five new retail stores in East Coast that would require external financing. Amy Chen, the CFO of New Heritage announced in a board meeting that the management is planning to increase the proportion of debt in the company’s capital structure.
Celestila Moonn is one of the senior managers at the corporate finance department of New Heritage gathered the following market data for her analysis to identify the capital structure that maximizes the firm’s stock price and minimizes the weighted average cost of capital.
In response to a question regarding capital structure theory, Moonn made the following statement:
The deductibility of interest lowers the cost of debt and the cost of capital for the company as a whole. Adding the tax shield provided by debt to the Modigliani and Miller framework suggests that the optimal capital structure is all debt.
Table 1
Market value of debt
$500,000,000
Yield to maturity on debt
7.0%
Market price per share of common stock
$23
Number of shares of common stock
45,000,000
Cost of capital if all equity-financed
9.50%
Marginal tax rate
30%
Table 2
Debt-to-Total Capital
Ratio %
Cost of Debt %
Cost of Equity %
20
8.7
13.5
30
9.4
14.0
40
10.3
15.0
50
11.4
17.0
Based on the data provided on the Tables 1 & 2, New Heritage’s current after tax cost of debt is closest to:
A. 5.0%
B. 7.0%
C. 8.7%
1 points
QUESTION 2
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Based on the data provided on the Tables 1 & 2, New Heritage’s current cost of equity capital is closest to:
A. 13.5%
B. 10.35%
C. 9.5%
1 points
QUESTION 3
-
Based on the data provided on the Tables 1 & 2, what debt-to-total capital ratio would maximize New Heritage’s stock price and minimize weighted average cost of capital?
A. 11.15%
B. 0.1177%
C. 11.77%
1 points
QUESTION 4
-
Based on market value, New Heritage’s current capital structure is closest to:
A. 60% equity financed and 40% debt financed
B. 65% equity financed and 35% debt financed
C. 67% equity financed and 33% debt financed.
1 points
QUESTION 5
-
Is Moonn correct with respect to her statement regarding capital structure theory?
A. No, because adding the tax shield provided by debt to the Modigliani and Miller framework suggests that the optimal capital structure is all equity.
B. No, because adding the tax shield provided by equity to the Modigliani and Miller framework suggests that the optimal capital structure is all debt.
C. Yes.
Expert Solution
Ans : 1
Market value of debt = $500 million
Market value of equity = NOs * Market price /sh = 45 million * 23 = 1035
Total capital = 500 + 1035 = 1535
Debt ratio = 500 / 1535 = 0.325732 and equity ratio = 1035 / 1535 = 0.674267
Since Current debt is 32.57% , we will take the avg of 30% and 40 % from table 2 i.e. ( 9.4 + 10.3 ) / 2 = 9.85%
After tax debt = 9.85 ( 1 –tax rate ) = 9.85 ( 1.03) = 6.895% or 7 % (OPTION B)
Ans 2) We will again take the average cost of equity from table 2 for 30 and 40% , = (14 + 15 )/ 2 = 14.5 ( OPTION A)
ANS 3 )
|
Cost of debt =kd(1-t) |
Wd |
Cost of Eq |
We |
WACC =Kd*wd+Ke*we / total wts |
|
|
a |
b |
c |
d |
[=(a*b)+(c*d)/1 |
|
|
6.09% |
0.2 |
13.50% |
0.8 |
12.02% |
|
|
6.58% |
0.3 |
14.00% |
0.7 |
11.77% |
Lowest |
|
7.21% |
0.4 |
15.00% |
0.6 |
11.88% |
|
|
7.98% |
0.5 |
17.00% |
0.5 |
12.49% |
*Since wd + we = 1
When the WACC is lowest , then the value of firm is Maximum. Hence our ans is 11.77% ( debt =30% and equity =70%) option C
Ans 4 ) Market value we computed in part 1 above , Debt 500 Million and Eq = 1035 M
Total capital = 500 + 1035 = 1535
Debt ratio = 500 / 1535 = 0.325732 and equity ratio = 1035 / 1535 = 0.674267
So debt is almost 33 % and Eq 67% , Option C
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