Purchase of City Vans
Initial cost of purchasing vans = $800,000
Additional Working Capital required = $41,000
Salvage Value of vans after 4 years = $107,000
Annual increase in cash inflow = $260,000
PV of Cash Outflows = Initial cost of purchasing + Working capital requirement
= $800,000 + $41,000
= $841,000
PV of cash Inflow = PV of annual increase in cash flow + PV of salvage value + PV of Working capital released
= ($260,000 * 3.312) + ($107,000 * 0.735) + ($41,000 * 0.735)
= $861,120 + $78,645 + $30,135
= $969,900
Net Present Value = PV of Cash Inflow - PV of cash outflow
= $969,900 - $841,000
= $128,900
Present Value Index = PV of Cash Inflow / PV of cash outflow
= $969,900 / $841,000
= 1.15
Purchase of Trucks
Initial cost of purchasing trucks = $880,000
Salvage Value of vans after 4 years = $81,000
Upfront training cost = $18,000
Cash Inflows
Year 1 = $154,000
Year 2 = $326,000
Year 3 = $406,000
Year 4 = $442,000
PV of Cash Outflows = Initial cost of purchasing + Upfront training cost
= $880,000 + $18,000
= $898,000
PV of cash Inflow = PV of annual cash flows + PV of salvage value
= ($154,000 * 0.926) + ($326,000 * 0.857) + ($406,000 * 0.794)+ ($442,000 * 0.735) + ($81,000 * 0.735)
= $142,604 + $279,382 + $322,364 + $324,870 + $59,535
= $1,128,755
Net Present Value = PV of Cash Inflow - PV of cash outflow
= $1,128,755 - $898,000
= $230,755
Present Value Index = PV of Cash Inflow / PV of cash outflow
= $1,128,755 / $898,000
= 1.257
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