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The Stark County executives are considering the purchase of new 130 hp bulldozer

ID: 427228 • Letter: T

Question

The Stark County executives are considering the purchase of new 130 hp bulldozer and are comparing two models: the BEHEMOTH and the GOLIATH. The BEHEMOTH bulldozer costs $130,000, with a projected annual operating and maintenance cost of $31,000 and a salvage value $15,000 after 7 years. The GOLIATH model costs $175,000, with a projected annual operating and maintenance cost of $22,000 and a salvage value of $21,000 after 7 years.

Calculate the net present value of the BEHEMOTH compressor and the net present value of the GOLIATH compressor, with the cash flows discounted annually at 12%. Which model should be purchased?

Explanation / Answer

R = 12%

Time n = 7 years

Net present value = initial investment + present value of O&M cost – present value of the salvage benefits

For BEHEMOTH bulldozer:

Net present value = 130000 + 31000*(1-1/1.12^7)/.12 - 15000/1.12^7

Net present value = $264691.2

For GOLIATH bulldozer:

Net present value = 175000 + 22000*(1-1/1.12^7)/.12 - 21000/1.12^7

Net present value = $265903.3

Since BEHEMOTH model has relatively lower net present worth of the cost of the given two models, then BEHEMOTH model should be selected for purchase.

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