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Net Present Value

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA MA – FIA FMA › Net Present Value

  • This topic has 3 replies, 2 voices, and was last updated 11 years ago by AvatarJohn Moffat.
Viewing 4 posts - 1 through 4 (of 4 total)
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  • January 21, 2015 at 3:07 am #223134
    AvatarMajed
    Member
    • Topics: 1
    • Replies: 1
    • ☆

    initial cost – $300,000

    expected life – 5 years

    Estimated scrap value – $20,000

    Addition revenue from the project – $120,000 per year

    Incremental costs of the project – $30,000 per year

    cost of capital – 10%

    kindly, please solve it for me

    January 21, 2015 at 7:27 am #223151
    AvatarJohn Moffat
    Keymaster
    • Topics: 57
    • Replies: 54838
    • ☆☆☆☆☆

    There is an initial cost of $300,000, so the present value of this is $300,000.

    There is a net inflow of 120,000 – 30,000 = 90,000 per year for 5 years. To get the present value of these flows, multiply 90,000 by the 5 year annuity discount factor at 10%.

    Finally, there is a scarp receipt of 20,000 in 5 years time. To get the present value of this, multiply by the ordinary present value factor for 5 years at 10%.

    The net present value is then the total of the PV’s of the 2 sets of inflows, less the initial outflow of 300,000.

    January 21, 2015 at 6:47 pm #223256
    AvatarMajed
    Member
    • Topics: 1
    • Replies: 1
    • ☆

    Thanks for you reply

    But what about IRR shall we calculate to the rate will give minus Net present value from the 90000 0nly or both ?

    January 22, 2015 at 8:40 am #223338
    AvatarJohn Moffat
    Keymaster
    • Topics: 57
    • Replies: 54838
    • ☆☆☆☆☆

    If you are asked for the IRR, then you repeat the steps that I wrote before, but with a different interest rate – any interest rate will do, say 20%.

    Then having got a second NPV you can approximate between the two interest rates (10% and 20%) to estimate the IRR.

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