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Lemur [1.5K]
2 years ago
13

Masterson, Inc., has 4.1 million shares of common stock outstanding. The current share price is $84, and the book value per shar

e is $11. The company also has two bond issues outstanding. The first bond issue has a face value of $70 million, has a coupon rate of 5.1%, and sells for 98% of par. The second issue has a face value of $50 million, has a coupon rate of 5.60%, and sells for 108% of par. The first issue matures in 20 years, the second in 12 years. The most recent dividend was $3.95 and the dividend growth rate is 5 percent. Assume that the overall cost of debt is the weighted average of that implied by the two outstanding debt issues. Both bonds make semiannual payments. The tax rate is 21 percent. What is the company’s WACC?
Business
1 answer:
Kitty [74]2 years ago
7 0

Answer:

The answer is "8.37%".

Explanation:

\text{MV of equity} = \text{equity price}  \times \text{number of outstanding shares}

                     =84 \times 4100000\\\\=344400000

\text{MV of Bond1}=\text{Par value} \times \text{bonds outstanding} \times \text{age of percentage}

                      =1000 \times 70000 \times 0.98 \\\\=68600000

\text{MV of Bond2}=\text{Par value} \times \text{bonds outstanding} \times \text{age of percentage}

                      =1000 \times 50000 \times 1.08 \\\\=54000000

\text{MV of firm} = \text{MV of Equity} + \text{MV of Bond1}+ \text{MV of Bond 2}

                  =344400000+68600000+54000000\\\\=467000000

\text{Weight of equity W(E)} = \frac{\text{MV of Equity}}{\text{MV of firm}}

                                     = \frac{344400000}{467000000}\\\\=0.7375

\text{Weight of debt W(D)}= \frac{\text{MV of Bond}}{\text{MV of firm}}

                                  = \frac{122600000}{467000000}\\\\=0.2625

Equity charges

By DDM.  

\text{Price = new dividend} \times  \frac{(1 + \text{rate of growth})}{( \text{Equity expense-rate of growth)}}

84 = 3.95  \times  \frac{(1+0.05)}{(\text{Cost of equity}- 0.05)}\\\\84 = 3.95  \times  \frac{(1.05)}{(\text{Cost of equity} - 0.05)}\\\\84 = \frac{4.1475}{ (\text{Cost of equity} - 0.05)}\\\\\text{Cost of equity} -0.05 = \frac{4.1475}{84}\\\\\text{Cost of equity} -0.05 = 0.049375\\\\\text{Cost of equity}  = 0.049375 + 0.05\\\\\text{Cost of equity}  = 0.099375 \\\\\text{Cost of equity} \%  = 9.9375 \% \ \ \ or  \ \ \ 9.94 \%  \\\\

Debt expenses  

Bond1

K = N \times 2 \\\\

Bond \ Price = \sum  [ \frac{\text{(Semi Annual Coupon)}}{(1 + \frac{YTM}{2})^k}]     +   \frac{Par\  value}{(1 + \frac{YTM}{2})^{N \times 2}}

k=1\\\\K =20 \times 2\\\\980 = \sum  [ \frac {(5.1 \times \frac{1000}{200})}{(1 + \frac{YTM}{200})^k}] +   \frac{1000}{(1 + \frac{YTM}{200})}^{20 \times 2}\\\\k=1\\\\\ YTM1 = 5.2628923903\\\\Bond2\\

K = N \times 2

Bond \ Price = \sum  [ \frac{\text{(Semi Annual Coupon)}}{(1 + \frac{YTM}{2})^k}]     +   \frac{Par\  value}{(1 + \frac{YTM}{2})^{N \times 2}}

k=1\\\\K =12 \times 2\\\\

1080 =\sum [\frac{(5.6 \times \frac{1000}{200})}{(1 + \frac{YTM}{200})^k}] +\frac{1000}{(1 +\frac{YTM}{200})^{12 \times 2}} \\\\k=1\\\\YTM2 = 4.72\\\\

\text{Company debt costs} = YTM1 times \frac{(MV \ bond1)}{(MV \ bond1+MV \ bond2)}+YTM2 \times \frac{(MV \ bond2)}{(MV \ bond2)}\\\\

The cost of the debt for the company:

= 5.2628923903 \times \frac{(68600000)}{(68600000+54000000)}+4.72 \times \frac{(68600000)}{(68600000+54000000)}\\\\

Business debt cost=5.02 \% \\\\

after taxation cost of debt:  

= \text{cost of debt} \times (1- tax \ rate)\\\\= 5.02 \times (1-0.21)\\\\= 3.9658\\\\

WACC= \text{after debt charges} \times W(D)+equity cost  \times W(E) \\\\

            =3.97 \times 0.2625+9.94 \times 0.7375 \\\\ =8.37 \% \\\\

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Fixed factory overhead volume variance = actual fixed overhead - standard fixed overhead = $262,500 - $262,500 = 0

Fixed overhead was exactly the same as the standard or budgeted overhead.

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2 years ago
Piper​ Corporation, which manufactures dog​ toys, is developing direct labor standards. The basic direct labor rate is $ 12.68$1
NeTakaya

Answer:

option (D) $21.66

Explanation:

Data provided in the question:

Basic direct labor rate per hour = $12.68

Payroll taxes = 13​% of basic direct labor​ rate

Fringe benefits per hour = $7.33

Now,

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= $12.68 + ( 13% of $12.68 ) + $7.33

= $12.68 + $1.6484 + $7.33

= $21.6584 or $21.66

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The correct answer is option (D) $21.66

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2 years ago
Janice wants to get a mortgage for her new vacation condo. She pays $56,000 for the condo and has a 7% interest rate for a 7-yea
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It is a Bullet Loan

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2 years ago
Hal E. Burton hospital can purchase a new machine (to be placed in an undisclosed location) for $1,000,000 that will provide an
Ksju [112]

Answer:

$153,000

Explanation:

The computation of the net present value is shown below:

= Present value of all cash inflows including salvage value after considering the discount factor - initial investment

where,

Present value  is

= Four year cash inflows × PVIFA factor for 11.5% for 4 years + (one year cash inflow + salvage value) × discount rate for 11.50% at five year

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Answer:

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Credit: Inventory on Sales on Returns $77,700

Explanation:

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3 0
2 years ago
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