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Co boy Recording Studio s considering the investment o $133.000 in a new ecording equipment. It end of its life. Cowboys s ti

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Answer #1

Answer a.

Cost of Equipment = $133,000
Annual Cash Flow = $19,500
Salvage Value = $14,500
Useful Life = 7 years
Cost of Capital = 10%

Present Value of Cash Inflows = $19,500 * PVA of $1 (10%, 7) + $14,500 * PV of $1 (10%, 7)
Present Value of Cash Inflows = $19,500 * 4.8684 + $14,500 * 0.5132
Present Value of Cash Inflows = $102,375.20

NPV = Present Value of Cash Inflows - Initial Investment
NPV = $102,375.20 - $133,000
NPV = -$30,624.80

Answer b.

Present Value Ratio = Present Value of Cash Inflows / Initial Investment
Present Value Ratio = $102,375.20 / $133,000
Present Value Ratio = 0.77

Answer c.

Let IRR be i%

NPV = -$133,000 + $19,500 * PVA of $1 (i%, 7) + $14,500 * PV of $1 (i%, 7)
0 = -$133,000 + $19,500 * PVA of $1 (i%, 7) + $14,500 * PV of $1 (i%, 7)

Using financial table, i = 3.05%

IRR of the investment is 3.05%

The internal rate of return of this investment is lower than the cost of capital of 10%

Answer d.

Payback Period = Cost of Equipment / Annual Cash Flow
Payback Period = $133,000 / $19,500
Payback Period = 6.82 years

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