ABC Mining is reviewing the purchase of a new machine. Their capital structure consists of: $5 million in loans at a stated rate of 5%, $5 million in bonds that sold at par for $1000 (flotation costs were $26 per bond, coupon rate 4.5%, 10 years to maturity) $10 million in common stock with the most recent dividend of $1.20, growth rate of 5%, current stock price of $35. 40% tax rate.
1. What is their cost of loan debt?
a. 5% b. 3% c. 2% d. 10%
2. What is their cost of bond debt?
a. 2.9% b. 4.83% c. 4.5% d. 10%
3. What is the cost of capital for equity?
a. 8.4% b. 10% c. 8.6% d. 5.2%
Solution:
1. Cost of loan debt = rate of interest (1- tax rate)
Cost of loan debt = 5%*(1-0.40)= 3%
Option B is correct
2. Cost of bond debt = ?..
Par value ( FV) = $1000
PV= 1000-26= $974
Coupon rate= 4.5%
Interest (PMT) = $1000*4.5%=$45
Years to maturity (nper) = 10 years
Rate =?
Rate(nper,PMT,PV ,FV)
Rate (10,45,-974,1000)= 4.83%
Option B is correct
3. Dividend paid ( D0)= 1.20
Growth ( g)= 5%
Price (P0)= $35
D1= 1.20*(1.05)= $1.26
Cost of equity = D1/P0 + g
Cost of equity= 1.26/35 + 0.05= 8.6%
Option C is correct
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