| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
where wd, wps, and we are the weights used for debt, preferred stock, and common equity.
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
The after-tax cost of debt [kd (1 – t)] is used to compute the weighted average cost of capital. It is the interest rate on new debt (kd) less the tax savings due to the deductibility of interest (kdt).
Here, we are given the inputs needed to calculate kd: N = 15 × 2 = 30; PMT = (1,000 × 0.07) / 2 = 35; FV = 1,000; PV = -1,047.46; CPT → I = 3.25, multiply by 2 = 6.50%.
Thus, kd (1 – t) = 6.50% × (1 – 0.35) = 4.22%
Preferred stock is a perpetuity that pays a fixed dividend (Dps) forever. The cost of preferred stock (kps) = Dps / P
| Dps = preferred dividends. |
P = price |
Here, kps = Dps / P = $2.80 / $35 = 0.08, or 8.0%.
kce = (D1 / P0) + g
| D1 = Dividend in next year |
P0 = Current stock price | |
g = Dividend growth rate |
Here, D1 = D0 × (1 + g) = $3.00 × (1 + 0.06) = $3.18.
kce = (3.18 / 40) + 0.06 = 0.1395 or 13.95%.
WACC = (wd)(kd) + (wps)(kps) + (wce)(kce)
where wd, wps, and wce are the weights used for debt, preferred stock, and common equity.
Here, WACC = (0.30 × 4.22%) + (0.20 × 8.0%) + (0.50 × 13.95%) = 9.84%.
| ||
| ||
|
WACC = [wd × kd × (1 − t)] + (wps × kps) + (wce × ks)
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
Common equity | Preferred equity | Debt |
| |||||
| |||||
|
Statement 1 | Statement 2 |
| ||||
| ||||
|
Debt | Equity |
| ||||
| ||||
|
For the bonds | = | 200,000 × $965 | = | $193,000,000 |
For the stocks | = | 6,000,000 × $28 | = | $168,000,000 |
$361,000,000 |
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
PV = -94.54; FV = 100; PMT = 6 / 2 = 3; N = 14; CPT → I/Y = 3.50 × 2 = 7%
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
CAPM | Discounted Cash Flow |
| ||||
| ||||
|
Debt Capital | Preferred Stock Capital |
| ||||
| ||||
|
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
Debt | Preferred stock |
| ||||
| ||||
|
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
Country Risk Premium for Mexico | Cost of Equity for Project |
| ||||
| ||||
|
= (0.077 – 0.046)(0.38 ÷ 0.26) = 0.0453, or 4.53%
| ||
| ||
|
= (0.072 – 0.046)(0.40/0.24) = 0.043, or 4.3%.
| ||
| ||
|
Amount of New Debt (in millions) | After-tax Cost of Debt | Amount of New Equity (in millions) | Cost of Equity |
$0 to $199 | 4.5% | $0 to $299 | 7.5% |
$200 to $399 | 5.0% | $300 to $699 | 8.5% |
$400 to $599 | 5.5% | $700 to $999 | 9.5% |
| ||
| ||
|
Amount of New Debt (in millions) | After-tax Cost of Debt | Amount of New Equity (in millions) | Cost of Equity |
$0 to $149 | 4.2% | $0 to $399 | 7.5% |
$150 to $349 | 5.0% | $400 to $799 | 8.5% |
Breakpoint for new debt capital | Breakpoint for new equity capital |
| ||||
| ||||
|
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
| ||
| ||
|
Project 1 NPV | Project 2 NPV |
| ||||
| ||||
|
Dollar amount of floatation costs | NPV of project |
| ||||
| ||||
|
| ||
| ||
|
欢迎光临 CFA论坛 (http://forum.theanalystspace.com/) | Powered by Discuz! 7.2 |