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Homework answers / question archive / A company is considering the purchase of equipment costing $84000 which will permit it to reduce its existing labour cost by $21000 each year for twelve years

A company is considering the purchase of equipment costing $84000 which will permit it to reduce its existing labour cost by $21000 each year for twelve years

Finance

A company is considering the purchase of equipment costing $84000 which will permit it to reduce its existing labour cost by $21000 each year for twelve years. The company estimates that it will have to spend $2000 every two years overhauling the equipment. The equipment may be depreciated using straight line depreciation over 12 years for tax purposes. The company tax rate is 30 cents in the dollar and the after corporate tax cost of capital is 10% per annum.

Assume:

1. Salvage value of zero.

2. The outlay of $84000 occurs at time zero.

3. All other cash flows including, tax payments and credits are made at the end of the year.

4. No overhaul is required in year 12.

What is the NPV to the nearest dollar? 

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NPV= $26374

Workings

Labour cost saving is after tax = 21000*(1-30%)

Overhaul cost is after tax

Tax shield on depreciation = Initial cost*Tax rate/12

Year Initial cost Labour cost after tax Overhaul cost Tax shield on depreciation Net cash flow
0 -84000       -84000
1   14700   2100 16800
2   14700 -1400 2100 15400
3   14700   2100 16800
4   14700 -1400 2100 15400
5   14700   2100 16800
6   14700 -1400 2100 15400
7   14700   2100 16800
8   14700 -1400 2100 15400
9   14700   2100 16800
10   14700 -1400 2100 15400
11   14700   2100 16800
12   14700   2100 16800
           
        NPV 26373.64