In: Finance
We will first calculate the WACC and then prepare the table:
Computation of WACC:
Proportion of debt in capital structure = Wd = 40%
Proportion of equity in capital structure = We = 60%
Pre tax cost of debt, Kd = bonds yield = 5.5%
Tax rate, T = 35%
Beta = 1.85
the expected return on the market, Rm = 12%
and the risk-free rate = Rf = 7%.
Hence, cost of equity, Ke = Rf + Beta x (Rm - Rf) = 7% + 1.85 x (12% - 7%) = 16.25%
WACC = Wd x Kd x (1 - T) + We x Ke = 40% x 5.5% x (1 - 35%) + 60% x 16.25% = 11.18%
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Net capital spending = Purchase cost = 103,000 in year 0
Post tax salvage value = 25% x 103,000 x (1 - T) = 25% x 103,000 x (1 - 35%) = 16,738
This value along with a negative sign appears as net capital spending under year 6. Hence, net capital spending in year 6 = - 16,738.
Total asset in any year = 103,000 + other asset of 20,000 - accumulated depreciation until that year.
Please see the table below. Please be guided by the second column titled “Linkage” to understand the mathematics. You can also understand the mathematics making use of [+] / [-] sign appearing in the first column. Figures in parenthesis, if any, mean negative values. All financials are in $.
Year, n | Linkage | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
Sale Volume (no. of units) | A | 20,600 | 21,700 | 22,800 | 23,900 | 25,000 | 26,100 | |
Sale Price / Unit | B | 5 | 4 | 4 | 4 | 4 | 4 | |
5 year MACRS Depreciation schedule | d | 20.00% | 32.00% | 19.20% | 11.52% | 11.52% | 5.76% | |
Sales |
C = A x B | 103,000 | 86,800 | 91,200 | 95,600 | 100,000 | 104,400 | |
[-] Variable Costs |
D = 23% x C | 23,690 | 19,964 | 20,976 | 21,988 | 23,000 | 24,012 | |
[-] Fixed Costs |
E | 33,000 | 33,000 | 33,000 | 33,000 | 33,000 | 33,000 | |
[-] Depreciation |
F = d x 103000 | 20,600 | 32,960 | 19,776 | 11,866 | 11,866 | 5,933 | |
EBIT |
G = C - D - E - F | 25,710 | 876 | 17,448 | 28,746 | 32,134 | 41,455 | |
[-] Taxes |
H = 35% x G | 8,999 | 307 | 6,107 | 10,061 | 11,247 | 14,509 | |
Net Income |
I = G - H | 16,712 | 569 | 11,341 | 18,685 | 20,887 | 26,946 | |
EBIT |
G | 25,710 | 876 | 17,448 | 28,746 | 32,134 | 41,455 | |
[+] Depreciation |
F | 20,600 | 32,960 | 19,776 | 11,866 | 11,866 | 5,933 | |
[-] Taxes |
H | 8,999 | 307 | 6,107 | 10,061 | 11,247 | 14,509 | |
OCF |
J = G + F - H | - | 37,312 | 33,529 | 31,117 | 30,551 | 32,753 | 32,879 |
[-] Net Capital Spending |
K | 103,000 | - | - | - | - | - | (16,738) |
Cash Flow From Assets |
L = J - K | (103,000) | 37,312 | 33,529 | 31,117 | 30,551 | 32,753 | 49,616 |
Present Value |
M = L x (1 + WACC)^(-n) | (103,000) | 33,560 | 27,125 | 22,642 | 19,995 | 19,280 | 26,270 |
NPV (just put overall NPV in Year 0 column) |
N = Sum of all M | 45,872 | ||||||
Profit Margin |
I / C | 16.22% | 0.66% | 12.44% | 19.55% | 20.89% | 25.81% | |
EPS |
I / 16,000 | 1.04 | 0.04 | 0.71 | 1.17 | 1.31 | 1.68 | |
Total Assets |
P = 103,000 + 20,000 - accumulated depreciation | 102,400 | 69,440 | 49,664 | 37,798 | 25,933 | 20,000 | |
Total Liabilities |
Q = P x 40% | 40,960 | 27,776 | 19,866 | 15,119 | 10,373 | 8,000 | |
Total Equity |
R = P x 60% | 61,440 | 41,664 | 29,798 | 22,679 | 15,560 | 12,000 | |
ROA |
I / P | 16.32% | 0.82% | 22.84% | 49.43% | 80.54% | 134.73% | |
ROE |
I / R | 27.20% | 1.37% | 38.06% | 82.39% | 134.24% | 224.55% |