Question

In: Finance

Lilies Corp. provided information on their capital sources as followed. $52,500 in Debt: Their bonds have...

Lilies Corp. provided information on their capital sources as followed.

  • $52,500 in Debt: Their bonds have 30-year to maturity, 4% coupon and $1,000 par value. Current bond price is $980. Tax rate is 21%.
  • $157,500 in Common stocks with current price of $140, most recent dividend of $3.50, and 9% growth rate.

56) What is their after-tax cost of debt?

A.) 4.12%

B.) 3.25%

C.) 5.19%

D.) 1.56%

How much is their cost of capital?

A.) 11.28%

B.) 15.97%

C.) 9.61%

D.) 2.86%

58.) Lillies Corp considers two independent projects A and B.

Project A has $2,000 NPV while Project B has $3,500 NPV.

What should Lillies Corp do?

A.) Accept only project a since it has a lower npv

B.) Accept both projects since they both have positive NPV

C.) Reject both projects

D.) Accept only project b since it has the higher npv

Solutions

Expert Solution

Par/Face value 1000
Annual Coupon rate 0.04
Annual coupon 40
Present Value = Future value/ ((1+r)^t)
where r is the yield to maturity and t is the time period in years.
price of the bond = sum of present values of future cash flows
price of the bond 980
Use excel to find r
r 0.04115
t 1 2 3 4 5 6 30
future cash flow 40 40 40 40 40 40 1040
present value 38.41906 36.9006 35.44215 34.04135 32.69591 31.40365 310.1946
sum of present values 980
The yield to maturity for these bonds is 4.115%.
The before-tax cost of debt 4.12%
After-tax cost of debt Before-tax cost of debt*(1-tc)
where tc is the tax rate that is .21.
After-tax cost of debt .04115*(1-.21)
After-tax cost of debt 0.032509
The after-tax cost of debt is 3.25%.
56) B) 3.25%.
Weighted average cost of capital (WACC) = [(S/S+B)*Rs + (B/S+B)*Rb(1-tc)]
S = equity, B = debt, Rs = Cost of equity, Rb = cost of debt,
tc = corporations tax rate
S 157500
B 52500
S/(S+B) 0.75
B/(S+B) 0.25
Find the cost of equity using the dividend growth model
According to the dividend growth model
P0 = D1/(R-g)
where P0 is the current price of the stock that is 140.
D1 is the most recent dividend that is 3.50.
g is the growth rate of the dividend that is 9%.
R is the required return of the stock
140 = 3.50/(R - .09)
R - .09 = 3.50/140
R = .025 + .09
R = .115
The required return on the stock is the cost of equity.
Rs = 11.5%.
Rb*(1-tc) is the after-tax cost of debt.
Rb*(1-tc) = 3.25%.
WACC = .75*.115 + .25*.0325
The WACC or the cost of capital is 9.44%.
57) C) 9.61%.
Since the projects are independent and not mutually exclusive, one
project does not have to be selected over the other.

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