Question

In: Finance

Assume a machine costs $404,000 and lasts four years before it is replaced. The operating cost...

Assume a machine costs $404,000 and lasts four years before it is replaced. The operating cost is $47,000 a year. Ignore taxes. What is the equivalent annual cost if the required rate of return is 12.5 percent? (Hint: the EAC should account for both initial investment and annual operating costs)

$163,297

$174,825

$181,414

$195,637

$202,118

Solutions

Expert Solution

Calculation of EAC
Particulars Time PVF @12.5% Amount PV
Cash Outflows                          -                                                          1.00                        4,04,000.00                        4,04,000.00
Cash Outflows                    1.00                                                    0.8889                           47,000.00                           41,777.78
Cash Outflows                    2.00                                                    0.7901                           47,000.00                           37,135.80
Cash Outflows                    3.00                                                    0.7023                           47,000.00                           33,009.60
Cash Outflows                    4.00                                                    0.6243                           47,000.00                           29,341.87
Present value of Cash Outflows                        5,45,265.05
PVF for 4 Years                                 3.0056
EAC                        1,81,414.37
So corrct answeris $181414

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