Titan Mining Corporation has 9.2 million shares of common stock outstanding and 360,000 5.2 percent semiannual bonds outstanding, par value $1,000 each. The common stock currently sells for $40 per share and has a beta of 1.3; the bonds have 15 years to maturity and sell for 111 percent of par. The market risk premium is 8 percent, T-bills are yielding 5 percent, and the company’s tax rate is 22 percent. |
a. |
What is the firm's market value capital structure? |
b. | If the company is evaluating a new investment project that has the same risk as the firm's typical project, what rate should the firm use to discount the project's cash flows? |
rate positively ..
Rate of equity = | |||||||||
Using CAPM rate of equity = Risk free rate + market risk premium * beta | |||||||||
=5%+8%*1.3 | |||||||||
15.40% | |||||||||
Rate of debt (after tax) | |||||||||
we have to use financial calculator to compute YTM | |||||||||
Put in calcualtor | |||||||||
PV | -1110 | ||||||||
FV | 1000 | ||||||||
PMT | 1000*5.2%/2 | 26 | |||||||
N | 15*2 | 30 | |||||||
Compute I | 2.10% | ||||||||
YTM =2.1%*2 | 4.20% | ||||||||
tax rate = | 22% | ||||||||
therefore rate of debt (after tax) = 4.2%*(1-22%) | 3.28% | ||||||||
rate of debt (after tax) = | 3.28% | ||||||||
Working for rest of question | |||||||||
Computation of Weight and WACC | |||||||||
Market value | weight | Cost of capital | weight * cost | ||||||
Source | |||||||||
equity | 368000000 | =9200000*40 | 47.94% | 15.40% | 7.38% | ||||
debt | 399600000 | =360000*1000*111% | 52.06% | 3.28% | 1.71% | ||||
Total | 767600000 | 9.09% | |||||||
ans a) | market value capital structure | ||||||||
Debt = | 52.06% | ||||||||
Equity= | 47.94% | ||||||||
ans b) | firm should WACC computed above. | ||||||||
WACC = | 9.09% |
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