Question

In: Accounting

The asset cost is $600,000. The machine is expected to have a 10-year useful life with...

The asset cost is $600,000. The machine is expected to have a 10-year useful life with no salvage value. Straight-line depreciation is used. The net cash inflow is expected to be $138,000 each year for 10 years. The company uses a 12% discount rate in evaluating capital investments.

What is the Net present value and ARR?

Solutions

Expert Solution

Year Amount Present Value = Amount/(1+discount rate)^Year
0                              (600,000.00)                                                                     (600,000.00)
1                                138,000.00                                                                      123,214.29
2                                138,000.00                                                                      110,012.76
3                                138,000.00                                                                         98,225.67
4                                138,000.00                                                                         87,701.49
5                                138,000.00                                                                         78,304.91
6                                138,000.00                                                                         69,915.09
7                                138,000.00                                                                         62,424.19
8                                138,000.00                                                                         55,735.89
9                                138,000.00                                                                         49,764.18
10                                138,000.00                                                                         44,432.31
NPV = Sum of Present Value                                                                      179,730.78

Depreciation = (Asset Cost - Salvage Value) / Useful Life

Depreciation = (600000-0)/10

Depreciation = 60000

Average Annual Profit = $138,000 - $60,000 (Depreciation)

Average Annual Profit = $ 78,000

Average Investment = (Initial Investment + Salvage Value)/2

Average Investment = ($600,000 + 0)/2

Average Investment = $ 300,000

ARR = Average Annual Profit *100/Average Investment

ARR = 78,000*100/300000

ARR = 26%


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