Equipment replacement, no income taxes. Clean Chips is a manufacturer of prototype chips based in Dublin, Ireland. Next year, in 2015, Clean Chips expects to deliver 535 prototype chips at an average price of $55,000. Clean Chips’ marketing vice president forecasts growth of 65 prototype chips per year through 2021. That is, demand will be 535 in 2015, 600 in 2016, 665 in 2017, and so on.
The plant cannot produce more than 525 prototype chips annually. To meet future demand, Clean Chips must either modernize the plant or replace it. The old equipment is fully depreciated and can be sold for $4,300,000 if the plant is replaced. If the plant is modernized, the costs to modernize it are to be capitalized and depreciated over the useful life of the updated plant. The old equipment is retained as part of the modernize alternative. The following data on the two options are available:
Modernize |
Replace |
|
Initial investment in 2015 |
$36,800,000 |
$61,700,000 |
Terminal disposal value in 2021 |
$7,000,000 |
$17,000,000 |
Useful life |
7 years |
7 years |
Total annual cash operating costs per prototype chip |
$35,500 |
$26,000 |
Clean Chips uses straight-line depreciation, assuming zero terminal disposal value. For simplicity, we assume no change in prices or costs in future years. The investment will be made at the beginning of 2015, and all transactions thereafter occur on the last day of the year. Clean Chips’ required rate of return is 10%.
There is no difference between the modernize and replace alternatives in terms of required working capital. Clean Chips has a special waiver on income taxes until 2021.
1. Sketch the cash inflows and outflows of the modernize and replace alternatives over the 2015–2021 period.
2. Calculate payback period for the modernize and replace alternatives.
3. Calculate net present value of the modernize and replace alternatives.
4. What factors should Clean Chips consider in choosing between the alternatives?
Net Cash |
Total Present |
||||
PV factor |
Inflow |
Value |
|||
Present value of net cash flows: |
|||||
After-tax cash flows from operations: |
|||||
Dec 31, 2015 |
x |
= |
|||
Dec 31, 2016 |
x |
= |
|||
Dec 31, 2017 |
x |
= |
|||
Dec 31, 2018 |
x |
= |
|||
Dec 31, 2019 |
x |
= |
|||
Dec 31, 2020 |
x |
= |
|||
Dec 31, 2021 |
x |
= |
Present value of after-tax cash flow from |
|||||
sale of equipment |
x |
= |
|||
Present value of annuity of equal income tax |
|||||
cash savings from annual depreciation |
x |
= |
|||
Net initial investment |
|||||
Net present value |
ANSWER
AS per the given question,
Modernize --Year-wise cash inflows | ||||||
Sale price | Operating costs | Net Income | Forecasted Demand | Total cash inflow | ||
Year 1-2015 | 55000 | 35500 | 19500 | 535 | 10432500 | |
Year 2-2016 | 55000 | 35500 | 19500 | 600 | 11700000 | |
Year 3-2017 | 55000 | 35500 | 19500 | 665 | 12967500 | |
Year 4-2018 | 55000 | 35500 | 19500 | 730 | 14235000 | |
Year 5-2019 | 55000 | 35500 | 19500 | 795 | 15502500 | |
Year 6-2020 | 55000 | 35500 | 19500 | 860 | 16770000 | |
Year 7-2021 | 55000 | 35500 | 19500 | 925 | 18037500 |
Replace --Year-wise cash inflows | ||||||
Sale price | Operating costs | Net Income | Forecasted Demand | Total cash inflow | ||
Year 1-2015 | 55000 | 26000 | 29000 | 535 | 15515000 | |
Year 2-2016 | 55000 | 26000 | 29000 | 600 | 17400000 | |
Year 3-2017 | 55000 | 26000 | 29000 | 665 | 19285000 | |
Year 4-2018 | 55000 | 26000 | 29000 | 730 | 21170000 | |
Year 5-2019 | 55000 | 26000 | 29000 | 795 | 23055000 | |
Year 6-2020 | 55000 | 26000 | 29000 | 860 | 24940000 | |
Year 7-2021 | 55000 | 26000 | 29000 | 925 | 26825000 |
Year | Details | Modernize | Replace | PV Factor @ 10% | PV for Modernize | PV for Replace | |
2015 Beg. | 0 | Initial Investment | -36800000 | -57400000 | 1 | -36800000 | -57400000 |
2015 End | 1 | Net cash inflows | 10432500 | 15515000 | 0.9091 | 9484186 | 14104687 |
2016 | 2 | Net cash inflows | 11700000 | 17400000 | 0.8264 | 9668880 | 14379360 |
2017 | 3 | Net cash inflows | 12967500 | 19285000 | 0.7513 | 9742483 | 14488821 |
2018 | 4 | Net cash inflows | 14235000 | 21170000 | 0.683 | 9722505 | 14459110 |
2019 | 5 | Net cash inflows | 15502500 | 23055000 | 0.6209 | 9625502 | 14314850 |
2020 | 6 | Net cash inflows | 16770000 | 24940000 | 0.5645 | 9466665 | 14078630 |
2021 | 7 | Net cash inflows | 18037500 | 26825000 | 0.5132 | 9256845 | 13766590 |
2021 | 7 | Disposal value | 7000000 | 17000000 | 0.5132 | 3592400 | 8724400 |
NPV of the decision | 33759466 | 50916447 | |||||
NOTE:Initial investment-Replace= 61700000-4300000 |
Year | PV for Modernize | Cumulative PV | PV for Replace | Cumulative PV | |
2015 Beg. | 0 | -36800000 | -36800000 | -57400000 | -57400000 |
2015 End | 1 | 9484186 | -27315814 | 14104686.5 | -43295314 |
2016 | 2 | 9668880 | -17646934 | 14379360 | -28915954 |
2017 | 3 | 9742483 | -7904452 | 14488820.5 | -14427133 |
2018 | 4 | 9722505 | 1818054 | 14459110 | 31977 |
2019 | 5 | 9625502 | 11443556 | 14314849.5 | 14346827 |
2020 | 6 | 9466665 | 20910221 | 14078630 | 28425457 |
2021 | 7 | 9256845 | 30167066 | 13766590 | 42192047 |
2021 | 7 | 3592400 | 33759466 | 8724400 | 50916447 |
Pay-back period | 3+(7904452/9722505) | 3+(14427133/14459110 | ||||
for the two alternatives | 3.813005702 | 3.997788453 | ||||
ie. | 3.81 yrs, | 4 yrs. | ||||
4)
Factors should Clean Chips consider in choosing between the alternatives:
NPV is greater for REPLACE decision
Also, payback is only marginally greater than MODERNIZE for REPLACE decision
Hence, REPLACE decision is suggested
Generally, in choosing between alternatives, cash inflows and outflows to be generated, net present value of the alternative, demand for the product, cost of machinery, its life, disposal value --are all taken into consideration
THANK YOU FOR THE QUESTION......KINDLY RATE....IT HELPS ME A LOT
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