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MUST SHOW ALL WORK AJ Inc. is contemplating the following investment: Cost of In

ID: 2491237 • Letter: M

Question

MUST SHOW ALL WORK

AJ Inc. is contemplating the following investment:

Cost of Investment

$               124,000

Estimated Life

                 3 Years

Annual Net Cash Flows:

Year 1

$                 58,000

Year 2

$                 50,000

Year 3

$                 44,000

Estimated Salvage Value

$                 10,000

Assume AJ Inc.’s cost of capital is 8%.

Required:

Calculate the NPV of this Investment.

Cost of Investment

$               124,000

Estimated Life

                 3 Years

Annual Net Cash Flows:

Year 1

$                 58,000

Year 2

$                 50,000

Year 3

$                 44,000

Estimated Salvage Value

$                 10,000

Explanation / Answer

PV of cash outflow = Initial investment = $124000

PV of cash inflow

Year 1 = $58000 * 0.9259259259 = $53703.703702

Year 2 = $50000 * 0.8573388203 = $42866.941015

Year 3 = $44000 * 0.7938322410 = $34928.618604

Estimated salvage value = $10000 * 0.7938322410 = $7938.322410

Total PV of cash inflow = $139437.58573

Therefore NPV = PV of cash inflow - PV of cash outflow = $139437.58573 - $124000 = $15437.58573

NPV of this investment = $15437.58573

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