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Net Present Value

• A person purchase a van for 1000 today
  and rent it out for staff transportation
  service. For five years he will receive 300,
  300, 400, 450 and 800 per year. Construct a
  cash flow statement. Rate of interest 10%.
Year              0      1     2     3     4     5
Cash Outflows
Investment      -1000
Cash Inflows
Revenue                 300   300   400   450   800
Total           -1000 300   300   400   450   800
                1.10 1.1-1 1.1-2 1.1-3 1.1-4 1.1-5
Discount rate
                =1    =.909 =.826 =.751 =.683 =.621
Dis. C/F        -1000 272.7 247.8 300.4 300.4 496.8


Net Present Value @ 10%, NPV = 568
Net Present Value
Year     Total Cash   Discount rate   Discounted
            Flow                      Cash Flow
            (Rs)                       (@10%)
 0         -1000        1.10 = 1        -1000
 1          300       1.11 = 0.909      272.7
 2          300       1.12 = 0.826      247.8
 3          400       1.13 = 0.751      300.4
 4          450       1.14 = 0.683     307.35
 5          800       1.15 = 0.621      496.8
           Total                       625.05
     Net Present Value @ 10% - 568
CF1      CF2
 NPV             CF0       (1 i )   (1 i )   2   ....     CFr
                                                         (1 i ) r
                                                                    ...

NPV                 | CF0 |              CF j ( P / F , i %, j )
                                                 where j = 0 to n
     Free Cash                      Salvage      |CF0| : initial cash flow
     flows
Rs
                                    Value        (an outlay) which is a
.                                                negative

                 Time Horizon         Time



            Amount to be
            Invested

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2 net present value ex

  • 1. Net Present Value • A person purchase a van for 1000 today and rent it out for staff transportation service. For five years he will receive 300, 300, 400, 450 and 800 per year. Construct a cash flow statement. Rate of interest 10%.
  • 2. Year 0 1 2 3 4 5 Cash Outflows Investment -1000 Cash Inflows Revenue 300 300 400 450 800 Total -1000 300 300 400 450 800 1.10 1.1-1 1.1-2 1.1-3 1.1-4 1.1-5 Discount rate =1 =.909 =.826 =.751 =.683 =.621 Dis. C/F -1000 272.7 247.8 300.4 300.4 496.8 Net Present Value @ 10%, NPV = 568
  • 3. Net Present Value Year Total Cash Discount rate Discounted Flow Cash Flow (Rs) (@10%) 0 -1000 1.10 = 1 -1000 1 300 1.11 = 0.909 272.7 2 300 1.12 = 0.826 247.8 3 400 1.13 = 0.751 300.4 4 450 1.14 = 0.683 307.35 5 800 1.15 = 0.621 496.8 Total 625.05 Net Present Value @ 10% - 568
  • 4. CF1 CF2 NPV CF0 (1 i ) (1 i ) 2 .... CFr (1 i ) r ... NPV | CF0 | CF j ( P / F , i %, j ) where j = 0 to n Free Cash Salvage |CF0| : initial cash flow flows Rs Value (an outlay) which is a . negative Time Horizon Time Amount to be Invested