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Money rate vs real rate confusion

Forums › Ask CIMA Tutor Forums › Ask CIMA P2 Tutor Forums › Money rate vs real rate confusion

  • This topic has 3 replies, 2 voices, and was last updated 8 years ago by Cath.
Viewing 4 posts - 1 through 4 (of 4 total)
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    Posts
  • January 14, 2017 at 6:25 pm #366518
    abz12
    Member
    • Topics: 46
    • Replies: 44
    • ☆☆

    Hi Cath

    I was doing a question and came across something I just wanted you to clarify..

    P Ltd intends to purchase a machine that will cost 18,000. the machine will save operating cost of 12,000 in the first year. Operating cost are budgeted to increase in year 1 by 8%/ Both the annual average rate of inflation and the real cost of capital are 10%. The machine has a 2 year life with a salvage value receivable at the end of the year 3 of 3,000. What is the NPV of the proposed investment

    Solution…

    Year Cash flows DF ( 21%)
    0 (18,000) 1
    1 (12,000) ……
    2 (12960)(adjusted for increase in expenses- 8%) ……..
    2( scrap) (3000) ….

    Now- initially I struggled to get the DF to be 21%. I initially thought it was 10% and then I peaked at the answers and say that the DF was 1.1%*1.1% and then wondered why..

    I know that that the money rate should be applied to inflated value when trying to determine the NPV.

    (1 +money rate)- (1+real rate)* (1+inflation rate)

    which explains the (1.1% *1.1%)= 1.21% where 21% equals the money rate…my question is how do you know when to apply the money rate or the real discount rate? My book says the money rate is used when inflation occurs and real rate is when there is no inflation.. but why? whats the theory behind it… the reason..

    Thanks from Abi

    January 14, 2017 at 8:54 pm #366543
    Cath
    Participant
    • Topics: 0
    • Replies: 447
    • ☆☆☆

    Hi,

    The way to remember this is

    Inflated cash flows : we use inflated discount rate (i.e. The money rate)
    Whereas Real cash flows use the real rate

    As you say- the money rate has inflation in its composition.. i.e. (1+m)=(1+infllation rate ) (1+ real rate)

    So we use the rate with inflation in it (our money rate) to discount inflated cashflows

    If you have cash flows in REAL terms – i.e. Inflation is stripped out and values are all given in current /time 0 terms – then we need to use the real rate to discount.

    Inflated rate with inflated flows
    Real rate with real flows

    Hope that helps?

    January 16, 2017 at 8:08 pm #367769
    abz12
    Member
    • Topics: 46
    • Replies: 44
    • ☆☆

    yes- makes sense thanks Cath

    January 16, 2017 at 11:12 pm #367808
    Cath
    Participant
    • Topics: 0
    • Replies: 447
    • ☆☆☆

    Thats great – Im glad that helps … I will get back to your other questions asap….

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