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Four way equivalence model question

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA FM Exams › Four way equivalence model question

  • This topic has 3 replies, 2 voices, and was last updated 5 years ago by John Moffat.
Viewing 4 posts - 1 through 4 (of 4 total)
  • Author
    Posts
  • May 17, 2020 at 9:17 pm #571141
    anazoric
    Participant
    • Topics: 36
    • Replies: 59
    • ☆☆

    I saw this MCQ in BPP P&R Mock 1. This is question 12.

    Country X uses the dollar as it’s currency and country Y uses the Dinar.
    Country X’s expected inflation rate is 5% per year, compared to 2% per year in country Y. Country Y’s nominal interest rate is 4% per year and the current spot rate between the 2 countries is 1.5000 dinar per $1.

    According to the four-way equivalence model, the following statements are correct as per the answer.

    1. Country X’s nominal interest rate should be 7.06% per year.
    2. The future (expected) spot rate after one year should be 1.4571 dinar per $1.

    Please can you explain the logic behind these answers?

    May 18, 2020 at 7:41 am #571168
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54701
    • ☆☆☆☆☆

    In theory, interest rates and inflation rates are related in the same way.
    So if Y’s interest rate is ‘I’, then (1+i)/1.04 = 1.05/1.02. Solving this gives i = 0.0706 (or 7.06%)

    Spot rates are best estimated using inflation rates and so the future spot rate in 1 years time = (1.02 / 1.05 ) x 1.5000 = 1.4571

    Both of these ‘rules’ are explained in my free lectures. The lectures are a complete free course for Paper FM and cover everything needed to be able to pass the exam well.

    May 19, 2020 at 10:29 am #571246
    anazoric
    Participant
    • Topics: 36
    • Replies: 59
    • ☆☆

    Oh okay… it’s the international Fisher formula. Thank you!

    May 19, 2020 at 11:41 am #571250
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54701
    • ☆☆☆☆☆

    You are welcome 🙂

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    Posts
Viewing 4 posts - 1 through 4 (of 4 total)
  • The topic ‘Four way equivalence model question’ is closed to new replies.

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