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A new asset is available for $227,000. O&M costs are $34,000 each year for the first...

A new asset is available for $227,000. O&M costs are $34,000 each year for the first five years, $51,000 in year six, $79,100 in year seven, and $121,800 in year eight. Salvage values are estimated to be $204,000 after one year and will decrease at the rate of 50% per year thereafter. At a MARR of 18%, determine the economic service life of the asset. Enter your answer as an integer from 1 to 8

Solutions

Expert Solution

Particulars Year
Figures in $ 0 1 2 3 4 5 6 7 8
Asset Purchased (Outflow) 227000 0 0 0 0 0 0 0 0
O & M (Note-2) (Outflow) 0 34000 34000 34000 34000 34000 51000 79100 121800
Present Value of O & M expense 0 28813 53231 73925 91462 106323.8 125215.8 146046 178450
Salvage value 0 204000 102000 51000 25500 12750 6375 3187.5 1593.75
Present Value of Salvage value (Inflow) 0 172881 73254.81 31040 13152 5573.14 2361.5 1000.63 424
Net Ouflow at 0 year (Outflow - Inflow) 0 -82932 -206976 -269885 -305310 -327751 -349854 -372045 -405026
Note-1
Formula for Present value is as below
PV= 1/(1+r)n
Note -2 : Since O & M is recurring cost till 8th year hence cumulative present value taken, for example PV of 2nd year O &M expense is $24418.27, however O & M is recurring cost hence while calculating present value of 2nd year we need to add on PV of 1st year also, and so on till 8th year.

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