In: Finance
Lilies Corp. provided information on their capital sources as followed.
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
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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