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considering Inflation with NPV

Forums › ACCA Forums › ACCA FM Financial Management Forums › considering Inflation with NPV

  • This topic has 4 replies, 3 voices, and was last updated 6 years ago by John Moffat.
Viewing 5 posts - 1 through 5 (of 5 total)
  • Author
    Posts
  • March 25, 2019 at 1:24 pm #510384
    soyut
    Member
    • Topics: 1
    • Replies: 2
    • ☆

    Hi,

    I am a newbie here.

    I am having difficult time to understand the calculating NPV when inflation rate is considered.
    To make it simple, i give this example
    Initial investment is $1000
    Net Cash flows for 4 years are as below;
    year 1: 200
    year 2: 300
    year 3: 300
    year 4: 300
    Discount rate (interest rate for each year) is : 4%
    Inflation rate (assuming it is going to be same for every year) is : 4.5%
    Here is the trick part, I know if the inflation rate is higher than the discount rate, it is not profitable at all, but how we put it into calculation ?

    what is NPV for this investment if we use inflation 4.5% and if we use 3.5%?

    Thanks in advance.

    Kind Regards

    March 25, 2019 at 2:41 pm #510392
    Chris
    Member
    • Topics: 7
    • Replies: 600
    • ☆☆☆☆

    You multiply the cashflow for each year by the inflation rate ^ t.

    Year 1: $200 * 1.045 = $209
    Year 2: $300 * 1.045^2 = $327.61

    Then you discount the cashflows using the discount rate, and add them all together (including the initial investment as a negative) to get the NPV. You can look up the discount factor in the table, or calculate it as follows:

    Year 1 = $209 *1/1.04 = $200.96
    Year 2 = $327.61 * 1/1.04^2 = $302.89

    Using this you should be able to calculate the NPV.

    March 25, 2019 at 4:28 pm #510400
    soyut
    Member
    • Topics: 1
    • Replies: 2
    • ☆

    Thanks for the answer.
    Is there any way of doing it using only one formula?

    March 25, 2019 at 8:16 pm #510419
    soyut
    Member
    • Topics: 1
    • Replies: 2
    • ☆

    Also, why we multiply cash flow with inflation rate?
    I don’t get the point of doing it.

    Doesn’t inflation decrease the value of money ?

    March 25, 2019 at 8:21 pm #510421
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54695
    • ☆☆☆☆☆

    Soyut: Why on earth do you write that ‘because the inflation rate is higher than the discount rate, it is not profitable’? That is simply not true (and not only because of the fact that profits have nothing at all to do with the decision making!).

    It will help you to watch my free lectures on investment appraisal with inflation. The lectures are a complete free course for Paper FM and cover everything needed to be able to pass the exam well.

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