Question

In: Finance

   Years 0 1 2 3 4 Investment Outlay Equipment cost ($350,000) Shipping and installation ($70,000)...

  

Years
0 1 2 3 4
Investment Outlay
Equipment cost ($350,000)
Shipping and installation ($70,000)
Increase in inventory ($55,000)
Increase in accounts payable $18,000
Total initial investment ($457,000)
Operating cash flow $        113,990 $           96,350 $        140,450 $        152,210
Total termination cash flow $           53,250
Project Cash Flows
Net cash flows ($457,000) $113,990 $96,350 $140,450 $205,460
Required return (used as the discount rate) 12%
Payback period (2.22)
Present value of net cash inflows
Present value of cash outflows
Profitability index
Internal rate of return (IRR)
Net present value (NPV)

Solutions

Expert Solution

Formula Year (n) 0 1 2 3 4
Net cash flows (NCF)                (4,57,000)                  1,13,990                      96,350                  1,40,450                  2,05,460
1/(1+d)^n Discount factor @ 12%                        1.000                        0.893                        0.797                        0.712                        0.636
(NCF*Discount factor) PV of NCF          (4,57,000.00)            1,01,776.79                76,809.63                99,969.54            1,30,573.54
Sum of all PVs NPV             (47,870.50)
Using IRR function IRR 7.44%
(NPV-Initial investment)/Initial investment Profitability Index                          0.90
Year (n) 0 1 2 3 4
NCF                (4,57,000)                  1,13,990                      96,350                  1,40,450                  2,05,460
NCFn + CNCFn-1 Cumulative NCF (CNCF)                (4,57,000)                (3,43,010)                (2,46,660)                (1,06,210)                      99,250
CNCF3/NCF4 Fraction of year 4                          0.52
(3+Fraction of year 4) Payback period (in years)                          3.52

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