Question

In: Finance

Projected sales for a new PODS container follows: Year Unit sales 1               $1,750,000 2 2,100,000...

  1. Projected sales for a new PODS container follows:

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?

Solutions

Expert Solution

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

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