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FM Chapter 9 Questions – Discounted cash flow – further aspects

VIVA

 

Reader Interactions

Comments

  1. ragnar7 says

    October 21, 2019 at 4:14 pm

    Hi John,

    For the last question, isn’t it better to not do project A at all and do project B 1 and a half times? That would give an NPV of $7200. Or in the exam, can you not do the same project multiple times?

    Thanks

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    • John Moffat says

      October 21, 2019 at 6:12 pm

      As I do state in my free lectures, infinitely divisible means that you can do fractions of projects but you cannot do more than 100% of a project (so you cannot do it multiple times) 🙂

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  2. Ayesha says

    September 19, 2018 at 4:33 am

    hi John, I do not understand solution of Question 2. Why we did not use Annuity Factor 3.791 for 5 Years at 10%?

    Thanks
    A

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    • John Moffat says

      September 19, 2018 at 6:52 am

      Because the first flow was at the start of the year. So the flows are from time 0 to time 4.
      The 5 year annuity factor would only be relevant if the flows were from time 1 to time 5.

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  3. Sun says

    August 17, 2018 at 10:33 pm

    Hi Sir,

    Q1: What’s the error for and how to correct “Tax Allowance Depreciation is a relevant cash flow when evaluating borrowing to buy compared to leasing as a finance choice?

    What’s the error for and how to correct “Asset replacement decisions require relevant cash flows to be discounted by the after-tax cost of debt”
    Thanks in advance.

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    • John Moffat says

      August 18, 2018 at 10:03 am

      The answer to both your questions appears when you have submitted your own answers!

      Depreciation is never a cash flow – it is used to calculate the tax, but is not a cash flow.

      Investment decisions are discounted at the WACC, not just at the cost of debt.

      Did you watch the free lectures before attempting this test?

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  4. rezaul1 says

    March 6, 2018 at 12:55 pm

    Dear John,

    silly question – how do you know when to use discount rate / when to use annuity table

    please explain sir

    Thanks
    Rez

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    • rezaul1 says

      March 6, 2018 at 12:57 pm

      referring to Question 4

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      • John Moffat says

        March 6, 2018 at 1:07 pm

        When calculating the PV of one replacement you need to use the present value tables.
        When then calculating the EAC, you divide by the annuity factor.

        I explain the rules and the reasons in my free lectures on replacement, and I do suggest that you watch them – I cannot type out all my lectures here!

        The lectures are a complete free course for Paper F9 and cover everything needed to pass the exam well.

      • rezaul1 says

        March 6, 2018 at 1:20 pm

        Thank you so much for such a speedy response sir.

      • John Moffat says

        March 6, 2018 at 3:37 pm

        You are welcome 🙂

  5. virtualstudent says

    February 8, 2018 at 5:29 am

    Hi,
    In my test Q# is 1 and it has four option to choose correct one, my inquiry is on one of the option which says asset replacement decision require cash flow to be discounted by after tax cost of debt, this is true what I knew but answer says no, it should be discounted with weighted average cost of capital, I am wondering I did not see any use of weighted average cost of capital in investment appraisal chapters. Asset replacement require calculation of optimum replacement cycle which require post tax cost of capital, could you please elaborate answer why to choose WACC and how to find that at this stage of FM course.
    Thanks

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  6. fola94 says

    July 18, 2017 at 4:31 am

    Question 4:

    From my calculations, the total PV = (36,000) + (3,600) + 800 = (38,800)

    How did you therefore get a figure of $38,612?

    Thank you.

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    • John Moffat says

      July 18, 2017 at 7:50 am

      I discounted the flows at 10% (PV means present value)!

      I do suggest that you watch the free lectures on this.

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      • fola94 says

        July 21, 2017 at 6:59 am

        Alright, thank you.

  7. obinam says

    September 5, 2016 at 3:37 pm

    Why didnt we consider the 1st yeat scrap value

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    • John Moffat says

      September 5, 2016 at 4:01 pm

      I assume you are asking about Question 4? (Please say which question in future).

      Since the question says we are replacing every 2 years, it is only the scrap value at the end of 2 years that is relevant. (We are not scrapping at the end of the first year!!)

      Have you watched my free lectures on replacement? If not, then I do suggest that you do.

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      • poezarphyu says

        March 3, 2017 at 7:04 am

        Dear John,
        In question no-4,
        When calculating Equivalent Annual Cost,I m confusing whether i should divided by 1.736 (2 year annuity figure) or 2.736(which is 1 for year 0 + 1.736 for 2 year annuity figure).Please clarify for me.Thanks in advance.

      • John Moffat says

        March 3, 2017 at 9:50 am

        You divide by the 2 year annuity factor (1.736) – this is all explained in my free lectures on replacement 🙂

      • poezarphyu says

        March 4, 2017 at 2:45 am

        Thank you sir 🙂

      • John Moffat says

        March 4, 2017 at 9:46 am

        You are welcome 🙂

  8. gonko says

    November 26, 2015 at 9:18 pm

    A lease agreement has an NPV of 32000 at a rate of 10%. Lease has 5 equal payments payable at the start of each year.

    So Y0 payments begin. So time 1-4 in perpetuity. 32000/3.170 to find the annual payment amount 10095?

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    • John Moffat says

      November 27, 2015 at 7:18 am

      The annual payment is 7,674

      If the payment is X per year, then the PV of the first payment at time 0 is X
      The PV of the remaining 4 payment (1 to 4) is 3.170X

      So the PV of all 5 payments = X + 3.170X = 4.170X = 32,000
      X = 32,000 / 4.170 = 7,674

      (Incidentally, 1 – 4 is an annuity, not a perpetuity. A perpetuity is every year for ever)

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      • gonko says

        November 27, 2015 at 10:37 am

        Thank you. I got it now, and yes, I confused the term annuity with perpetuity….not enough coffee lol.

        Could I take the same approach for all questions like this. So say the annuity factor for T4 is 3.170, and just add 1.
        So annuity of N+1 . So Principle / N+1?

      • John Moffat says

        November 27, 2015 at 1:34 pm

        If the flows start at time 0, then yes.

        However the flows could start at any time.

      • gonko says

        December 3, 2015 at 12:20 pm

        What would happen if the flows started at T1 instead of T0. I am guessing we do not add X onto the annuity factor.
        So instead of 3.170X becoming 4.170, it will just be a straight forward division using 3.170?

      • John Moffat says

        December 3, 2015 at 1:50 pm

        Yes – the annuity factors on their own assume that the first flow is in 1 years time.

      • waqasiqbaal says

        December 1, 2019 at 5:49 pm

        Sir, this is an annuity then why are we dividing it instead of multiplying with 4.170? Please explain.

      • John Moffat says

        December 1, 2019 at 6:58 pm

        Multiplying the amount each year by the annuity factor gives the present value.

        Here we know the present value and so we divide by the annuity factor to get the amount each year.

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