Respuesta :
Solution and Explanation:
Calculation of present value of Lease payments
Year Amount PV factor at 12% Present Value
Year 0 25,000.00 1 25,000.00
Year 1 25,000.00 0.892857143 22,321.43
Year 2 25,000.00 0.797193878 19,929.85
Year 3 25,000.00 0.711780248 17,794.51
Year 4 25,000.00 0.635518078 15,887.95
Year 5 25,000.00 0.567426856 14,185.67
Year 6 25,000.00 0.506631121 12,665.78
Year 7 25,000.00 0.452349215 11,308.73
Year 8 25,000.00 0.403883228 10,097.08
Year 9 25,000.00 0.360610025 9,015.25
Present value of lease payments 158,206.24
Note: The amount is paid at the beginning of month.
Calculation of present value of cash outflows if machine is purchased:
where: MIC - Maintenance and Insurance costs, SV - Salvage value
Year Machn Cost MIC SV Total PV factor at 12% Present Value
Year 0 130,000.00 - 130,000.00 1.00 130,000.00
Year 1 5,000.00 5,000.00 0.892857143 4,464.29
Year 2 5,000.00 5,000.00 0.797193878 3,985.97
Year 3 5,000.00 5,000.00 0.711780248 3,558.90
Year 4 5,000.00 5,000.00 0.635518078 3,177.59
Year 5 5,000.00 5,000.00 0.567426856 2,837.13
Year 6 5,000.00 5,000.00 0.506631121 2,533.16
Year 7 5,000.00 5,000.00 0.452349215 2,261.75
Year 8 5,000.005,000.00 0.403883228 2,019.42
Year 9 5,000.00 5,000.00 0.360610025 1,803.05
Year 10 5,000.00 (10,000.00) (5,000.00) 0.321973237(1,609.87)
Present value of cash outflows 155,031.38
Savings 3,174.86
The Present value of cash outflows us less if machine is purchase rather than taking it on lease.
So it is economical for Alexandrov to buy machine as it will save $ 3,174.86.