Question

PA11-1 Calculating Accounting Rate of Return, Payback Period, Net Present Value, Estimating Internal Rate of Return [LO 11-1,
3. Net present value (NPV). (Future Value of $1, Present Value of $1, Future Value Annuity of $1, Present Value Annuity of $1
Future Value of $1 TABLE 11.1A 8% 7% 6% 5% 4.25% 3.75% 4% 3% 2% Periods 1.0000 1.0000 1.0000 1.0000 1.0425 1.0868 1.0000 1.00
Present Value of $1 TABLE 11.2A 8% 7% 5% 6% 4.25% 4% 3.75% 3% 2% Periods 0.9346 0.9259 0.9434 0.9524 0.9070 0.8638 0.8227 0.9
Future Value of an Annuity of $1 TABLE 11.3A 8% 6% 7% 5% 2% 3.75% 4% 4.25% Periods 3% 1.0000 1.0000 1.0000 2.0600 3.1836 1.00
Present Value of Annuity of $1 BLE 11.4A 8% 7% 6% 5% 4.25% 4% 3.75% 3% Periods 2% 0.9259 1.7833 0.9434 1.8334 2.6730 0.9346 0
0 0
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Answer #1

Initial Investment = $507,000
Salvage Value = $48,000
Useful Life = 9 years

Annual Depreciation = (Initial Investment - Salvage Value) / Useful Life
Annual Depreciation = ($507,000 - $48,000) / 9
Annual Depreciation = $51,000

Annual Net Cash Flow = Annual Net Income + Annual Depreciation
Annual Net Cash Flow = $40,560 + $51,000
Annual Net Cash Flow = $91,560

Answer to Requirement 1:

Accounting Rate of Return = Annual Net Income / Initial Investment
Accounting Rate of Return = $40,560 / $507,000
Accounting Rate of Return = 8.0%

Answer to Requirement 2:

Payback Period = Initial Investment / Annual Net Cash Flow
Payback Period = $507,000 / $91,560
Payback Period = 5.54 years

Answer to Requirement 3:

Cost of Capital = 9%

Net Present Value = -$507,000 + $91,560 * PVA of $1 (9%, 9) + $48,000 * PV of $1 (9%, 9)
Net Present Value = -$507,000 + $91,560 * 5.9952 + $48,000 * 0.4604
Net Present Value = $64,020

Answer to Requirement 4:

Cost of Capital = 12%

Net Present Value = -$507,000 + $91,560 * PVA of $1 (12%, 9) + $48,000 * PV of $1 (12%, 9)
Net Present Value = -$507,000 + $91,560 * 5.3282 + $48,000 * 0.3606
Net Present Value = -$1,841

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