You have the option to develop and market a new electronic device intended for home use. Getting to this point has cost $300,000. Proceeding to market will cost $750,000. The machinery involved will have a five year productive life. If you proceed, you expect to sell 5, 8, 12, 10, and 6 thousand units in years 1-5. The price in year 1 will be $480. After that, the price will rise 2% each year.
Each year you sell, you must incur administrative expenses of $150,000. Separately, the cost of producing each unit will be $500 in year 1. After that, production costs fall 8% each year.
The tax rate is 35%. Depreciation is linear. Your opportunity cost of capital is constant at 12%. Note: If operating profits are negative, treat them like a depreciated cost for tax purposes.
a) What are the per period cashflows associated with the project?
b) What is the NPV of the project overall?
YEAR | PRODN COST/UNIT | SALES | TOTAL PRODN COST | SALE PRICE | TOTAL SALES | ADMIN EXP | OPERATING PROFIT | PROFIT AFTER TAX |
1 | 500 | 5000 | 2500000 | 480 | 2400000 | 150000 | -250000 | -250000 |
2 | 460 | 8000 | 3680000 | 489.6 | 3916800 | 150000 | 86800 | 56420 |
3 | 423.2 | 12000 | 5078400 | 499.392 | 5992704 | 150000 | 764304 | 496797.6 |
4 | 389.344 | 10000 | 3893440 | 509.37984 | 5093798 | 150000 | 1050358.4 | 682733 |
5 | 358.19648 | 6000 | 2149179 | 519.5674368 | 3117405 | 150000 | 818225.74 | 531846.7 |
NPV | ₹ 1,61,047.37 |
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