Question

a
company's total assets $10000 last year, liabilities $4500. at that
time the interest are is 12% and tax rate 20 and capital cost is
16%. the company plans to issue bonds for the following year so
that the debt ratio will increase by 10% compared to last year. if,
for example, debt investors and capital investors ask for a risk
premium of 2% each compared to last year, calculate the size of the
company's capital costs the following year

Answer #1

Solution:

Total Assets = Equity + liabilities

$ 10000 = Equity + $ 4500

Equity = $ 5500

Cost of equity presently (ke) is

(0.45 * 12 * 0.8 ) + (0.55 * ke) = 16

4.32 + 0.55ke = 16

Ke = 11.68 / 0.55

Ke = 23.23 %

Company capital cost the following year be X.

Then

X = 5500 + 0.55*X

X - 0.55X = 5500

X = 5500 / 0.45

X = $ 12,222.22

Size of company's cost of capital is $ 12,222.22

Issue size of bonds size is $ 2,222.22

Cost of capital the following year

=(0.55 * 14 * 0.8 ) + (0.45 * 23.23)

= 16.61%

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