In: Finance
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
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. |