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investment appraisal / capital budgeting

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA MA – FIA FMA › investment appraisal / capital budgeting

  • This topic has 3 replies, 2 voices, and was last updated 8 years ago by John Moffat.
Viewing 4 posts - 1 through 4 (of 4 total)
  • Author
    Posts
  • April 11, 2017 at 7:41 am #380840
    toushiga
    Participant
    • Topics: 424
    • Replies: 172
    • ☆☆☆☆

    Hello Tutor, I have two question about this topic,there are

    Q1) Investment E offers interest of 4 % per year compounded semi-annually for a period of three years.Investment W offers one interest payment of 20% at the end of its four-year life.
    What is the annual effective interest rate offered by two investment?

    ANSWER: 4.04 % for Investment E, 4.66 % for investment W.

    (How to calculate the annual effective interest rate for this question?)

    Q2) An investment of $120,000 on 1 April 2016 is forecast to yield a net cash flow of $14,000 each year for four years commencing on 31 March 2017, followed by $20,000 each year in perpetuity .The appropriate cost of capital is 8% per year.

    What is the positive net present value of the investment (to the nearest $1,000)?

    (Why the cash flow of $14,000 is T2 not T1?calculate starting from year 2 not year 1?)

    April 11, 2017 at 4:43 pm #380861
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54695
    • ☆☆☆☆☆

    Q1:

    Have you watched my free lectures on this?
    The lectures are a complete free course for Paper F2 and cover everything needed to be able to pass the exam well!

    Investment E:
    The interest every six months is 4/2 = 2%
    Therefore 1+r = 1.02^2 (because there are 2 six month periods in a year)
    Therefore r = 4.04%

    Investment W:

    If the annual interest rate if r, then (1+r)^4 = 1.2 ( to the power 4 because there are 4 years)
    So 1+ r = fourth root of 1.2 = 1.0466
    r = 4.66%

    April 12, 2017 at 9:53 am #380949
    toushiga
    Participant
    • Topics: 424
    • Replies: 172
    • ☆☆☆☆

    Yes 🙂 , I had watched the lecture video and notes on this

    I had understood the first question because there are four years and if you needs to find annual interest rate then it is the fourth root of r
    but for the second question, if the investment start from 1 April 2016 to 31 March 2017 is one year T0 , why the first receipt $14000 from 31 March 2017 is T2 not T1?

    Thank you for your reply.

    April 12, 2017 at 5:26 pm #381065
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54695
    • ☆☆☆☆☆

    The first receipt is not at time 2 – it is at time 1 (because 31 March 2017 is one year after 1 April 2016).

    So there is interest for that first year and in total for four years.

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    Posts
Viewing 4 posts - 1 through 4 (of 4 total)
  • The topic ‘investment appraisal / capital budgeting’ is closed to new replies.

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