In: Accounting
Makai Metals Corporation has 9.8 million shares of common stock
outstanding and 420,000 5 percent semiannual bonds outstanding, par
value $1,000 each. The common stock currently sells for $46 per
share and has a beta of 1.4, and the bonds have 15 years to
maturity and sell for 117 percent of par. The market risk premium
is 8.6 percent, T-bills are yielding 4 percent, and the company’s
tax rate is 40 percent.
a. What is the firm's market value capital
structure? (Do not round intermediate calculations and
round your answers to 4 decimal places, e.g.,
32.1616.)
Market value weight |
|
Debt | .3439 .3439 Incorrect |
Equity | .6023 .6023 Incorrect |
b. If the company is evaluating a new investment
project that has the same risk as the firm's typical project, what
rate should the firm use to discount the project's cash flows?
(Do not round intermediate calculations. Enter your answer
as a percent rounded to 2 decimal places, e.g.,
32.16.)
Discount rate
11.34 11.34
Incorrect %
Debt:
Number of bonds outstanding = 420,000
Face Value = $1,000
Current Price = 117%*$1,000 = $1,170
Value of Debt = 420,000 * $1,170
Value of Debt = $491,400,000
Annual Coupon Rate = 5%
Semiannual Coupon Rate = 2.50%
Semiannual Coupon = 2.50%*$1,000 = $25
Time to Maturity = 15 years
Semiannual Period to Maturity = 30
Let semiannual YTM be i%
$1,170 = $25 * PVIFA(i%, 30) + $1,000 * PVIF(i%, 30)
Using financial calculator:
N = 30
PV = -1170
PMT = 25
FV = 1000
I = 1.765%
Semiannual YTM = 1.765%
Annual YTM = 2 * 1.765%
Annual YTM = 3.53%
Before-tax Cost of Debt = 3.53%
After-tax Cost of Debt = 3.53% * (1 - 0.40)
After-tax Cost of Debt = 2.118%
Equity:
Number of shares outstanding = 9,800,000
Current Price = $46
Value of Common Stock = 9,800,000 * $46
Value of Common Stock = $450,800,000
Cost of Common Equity = Risk-free Rate + Beta * Market Risk
Premium
Cost of Common Equity = 4% + 1.4 * 8.6%
Cost of Common Equity = 16.04%
Value of Firm = Value of Debt + Value of Equity
Value of Firm = $491,400,000 + $450,800,000
Value of Firm = $942,200,000
Weight of Debt = $491,400,000/$942,200,000
Weight of Debt = 0.5215
Weight of Equity = $450,800,000/$942,200,000
Weight of Equity = 0.4785
WACC = Weight of Debt*After-tax Cost of Debt + Weight of
Equity*Cost of Equity
WACC = 0.5215*2.118% + 0.4785*16.04%
WACC = 8.78%