Question

The treasurer of Riley Coal Co. is asked to compute the cost of fixed income securities for her corporation. Even before making the calculations, she assumes the aftertax cost of debt is at least 5 percent less than that for preferred stock. Debt can be issued at a yield of 8.0 percent, and the corporate tax rate is 25 percent. Preferred stock will be priced at $52 and pay a dividend of $5.20. The flotation cost on the preferred stock is $3. a. Compute the aftertax cost of debt. (Do not round intermediate calculations. Input your answer as a percent rounded to 2 decimal places.)
b. Compute the aftertax cost of preferred stock. (Do not round intermediate calculations. Input your answer as a percent rounded to 2 decimal places.)
c. Based on the facts given above, is the treasurer correct?

Answer 1

Answer: (a) 6%

(b) 10.61%

(c) Yes

Explanation:

a) After tax cost of debt = Yield (1- tax)

= 8 ( 1 - 0.25)

 = 8 × 0.75

 = 6%

b) $cost\ of\ preferred\ stock =\frac{dividend}{price-flotation\ cost}$

$cost\ of\ preferred\ stock =\frac{5.20}{52-3}$

$cost\ of\ preferred\ stock =\frac{5.20}{49}$

= 0.1061 or 10.61%

Note:  Cost of preferred stock is not tax deductible

c),Yes the treasurer is correct ,The cost of debt is 5% less than cost of preferred stock [10.61 - 6 = 4.61%]