In: Finance
Year |
Unit sales |
1 |
$1,750,000 |
2 |
2,100,000 |
3 |
2,450,000 |
The project will require $250,000 in net working capital to start. Variable costs are 65% of sales, and total fixed costs are $275,000 per year. The cost of equipment is $1,000,000. The equipment qualifies for a CCA rate of 20 percent. The salvage value at the end of 3 years is $450,000.
The relevant tax rate is 30 percent, and the required return is 15 percent. What is the NPV of the project?
Depreciation Schedule | |||
Year | Opening Balance | Depreciation | Closing Balance |
A | B | C = B*20% | D = B-C |
1 | 1000000 | 200000 | 800000 |
2 | 800000 | 160000 | 640000 |
3 | 640000 | 128000 | 512000 |
Calculation of NPV of the Project | ||||
Particulars | 0 | 1 | 2 | 3 |
Initial Investment | ||||
Cost of Equipment | -1000000 | |||
Investment in net working capital | -250000 | |||
Net Investment (A) | -1250000 | |||
Operating Cash Flows | ||||
Annual Sales (B) | 1750000 | 2100000 | 2450000 | |
Variable Costs (C = B*65%) | 1137500 | 1365000 | 1592500 | |
Fixed Costs (D) | 275000 | 275000 | 275000 | |
Depreciation (E ) | 200000 | 160000 | 128000 | |
Profit Before Tax (F = B-C-D-E) | 137500 | 300000 | 454500 | |
Tax @30% (G = F*30%) | 41250 | 90000 | 136350 | |
Profit After Tax (H = F-G) | 96250 | 210000 | 318150 | |
Add back Depreciation (I = E) | 200000 | 160000 | 128000 | |
Net Operating Cash flows (J = H+I) | 296250 | 370000 | 446150 | |
Terminal Value | ||||
Salvage Value (K) | 450000 | |||
Unclaimed CCA (L) | 512000 | |||
Loss on sale (M = K-L) | -62000 | |||
Tax @30% (N = M*30%) | -18600 | |||
After tax loss (O = M-N) | -43400 | |||
Add back unclaimed CCA (P = L) | 512000 | |||
Net Salvage Value (Q = O+P) | 468600 | |||
Recovery of Working Capital (R ) | 250000 | |||
Net Terminal Value (S = Q+R) | 718600 | |||
Total Cash Flows (T = A+J+S) | -1250000 | 296250 | 370000 | 1164750 |
Discount Factor @15% (U) 1/(1+15%)^n n=0,1,2,3 |
1 | 0.869565217 | 0.756143667 | 0.657516232 |
Discounted Cash Flows (V = T*U) | -1250000 | 257608.6957 | 279773.1569 | 765842.0317 |
NPV of the Project | 53223.88428 | |||
Therefore, NPV of the Project is $53,223.88 |