In: Accounting
Question 3 Fastow Ltd, makers of plates, is considering also making spoons and has found a machine that would enable them to do so. This machine would be depreciated straight line, down to a book value of $20,000 over its entire useful life of ten years. Despite this, it is anticipated that the machine will be sold for $12,000 at the end of its useful life. Additional details of the project’s cash flows are tabulated below:
Cost of machine |
$395,000 |
Delivery and installation charge of machine |
$20,000 |
Annual revenue |
$280,000 |
Annual operating costs |
70% of generated revenue |
In addition to the cash flow information, you have also been provided with the following details:
Given this information, calculate the net present value and state whether you recommend Fastow Ltd to purchase the machine?
0 year | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | |
Cost of machine | -3,95,000 | |||||||||||
Installation Charge | -20,000 | |||||||||||
-4,15,000 | ||||||||||||
Annual Revenue | 2,80,000 | 2,80,000 | 2,80,000 | 2,80,000 | 2,80,000 | 2,80,000 | 2,80,000 | 2,80,000 | 2,80,000 | 2,80,000 | ||
Less:Operaing Costs-70% | -1,96,000 | -1,96,000 | -1,96,000 | -1,96,000 | -1,96,000 | -1,96,000 | -1,96,000 | -1,96,000 | -1,96,000 | -1,96,000 | ||
Less:Depreciation | -37,500 | -37,500 | -37,500 | -37,500 | -37,500 | -37,500 | -37,500 | -37,500 | -37,500 | -37,500 | ||
Profit | 46,500 | 46,500 | 46,500 | 46,500 | 46,500 | 46,500 | 46,500 | 46,500 | 46,500 | 46,500 | ||
Less:Tax-30% | -13,950 | -13,950 | -13,950 | -13,950 | -13,950 | -13,950 | -13,950 | -13,950 | -13,950 | -13,950 | ||
Add:Depreciation | 37,500 | 37,500 | 37,500 | 37,500 | 37,500 | 37,500 | 37,500 | 37,500 | 37,500 | 37,500 | ||
Salvage Value-after tax(12000*70%) | 8400 | |||||||||||
Cash Inflow | 84,000 | 70,050 | 70,050 | 70,050 | 70,050 | 70,050 | 70,050 | 70,050 | 70,050 | 78,450 | -13,950 | |
Discount Factor-8.5% | 1 | 0.922 | 0.849 | 0.783 | 0.722 | 0.665 | 0.613 | 0.565 | 0.521 | 0.480 | 0.442 | 0.408 |
Present Value | -415000 | 77,419 | 59,504 | 54,843 | 50,546 | 46,586 | 42,937 | 39,573 | 36,473 | 33,616 | 34,697 | -5,687 |
Net Present Value | 55508 | |||||||||||
NPV is Sum of present value | ||||||||||||
Note | ||||||||||||
Cost of Capital=Risk Free Rate+Risk(Expected Return) | ||||||||||||
(5%+35%*10%) | 8.50% | |||||||||||
Six month free interest Rate | 2.50% | |||||||||||
Annual Interest rate | 5% | |||||||||||
Cost of machine | 395000 | |||||||||||
Book Value after 10 years | 20000 | |||||||||||
Depreciation P a | 37500 |
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