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REPLACEMENT CYCLES

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA FM Exams › REPLACEMENT CYCLES

  • This topic has 7 replies, 3 voices, and was last updated 2 years ago by Kim Smith.
Viewing 8 posts - 1 through 8 (of 8 total)
  • Author
    Posts
  • February 26, 2024 at 1:45 pm #701182
    learnsignal123
    Participant
    • Topics: 20
    • Replies: 31
    • ☆☆

    A company is trying to determine the optimal replacement cycle for the laptops used by its sales team. The following information is relevant to the decision:

    The cost of each laptop is $2,400. Maintenance costs are payable at the end of each full year of ownership, but not in the year of replacement (e.g. if a laptop is owned for three years, then the maintenance cost is payable at the end of year 1 and at the end of year 2).

    Interval between Trade-in value Maintenance cost
    replacement (years) $ $
    1 1200 Nil
    2 800 75 (payable at end of Year 1)
    3 To be determined 150 (payable at end of Year 2)

    The company uses a relatively high discount rate of 14% as it faces capital rationing.

    What is the year 3 trade-in value, given that the annual equivalent cost of a 3-year replacement cycle is $1,024?

    A. $268
    B. $301
    C. $412
    D. $727

    The correct answer is B

    Can you please explain me this question

    February 26, 2024 at 1:51 pm #701183
    IAW3005
    Moderator
    • Topics: 4
    • Replies: 1604
    • ☆☆☆☆☆

    Where is the question from?
    I really need to see it properly

    February 26, 2024 at 2:53 pm #701195
    learnsignal123
    Participant
    • Topics: 20
    • Replies: 31
    • ☆☆

    It’s from ACCA study hub
    That’s the exact question from the study hub including all info

    February 26, 2024 at 3:42 pm #701196
    IAW3005
    Moderator
    • Topics: 4
    • Replies: 1604
    • ☆☆☆☆☆

    All I can tell you

    to (2400) * 1 (2400)

    t1 Cost * 0.877
    t2 Cost * 0.769

    t3 Trade in value ??????? * 0.675

    Which is the balancing figure from 2378 which is 2377/2.322 =

    1024 EAC

    February 26, 2024 at 4:11 pm #701198
    learnsignal123
    Participant
    • Topics: 20
    • Replies: 31
    • ☆☆

    years Trade-in value Maintenance cost
    $ $
    1 1200 Nil
    2 800 75(payable at end of Year 1)
    3 To be determined 150 (payable at end of Year 2)

    These are the trade in values given
    I tried formating it however when i send , it just becomes messy looking :/

    February 26, 2024 at 4:36 pm #701199
    IAW3005
    Moderator
    • Topics: 4
    • Replies: 1604
    • ☆☆☆☆☆

    I can’t solve this unfortunately
    The figures aren’t clear enough
    Sorry!

    February 27, 2024 at 10:04 am #701270
    learnsignal123
    Participant
    • Topics: 20
    • Replies: 31
    • ☆☆

    Thats’s okaaa

    February 27, 2024 at 3:04 pm #701284
    Kim Smith
    Keymaster
    • Topics: 138
    • Replies: 8439
    • ☆☆☆☆☆

    The answer in the study hub is as follows:

    PV of costs over a 3-year cycle = $1,024 × 2.322 = $2,378
    2,378 = 2,400 + (75 × 0.877) + (150 × 0.769) + (trade-in value × 0.675)

    Rearranging, TiV = (2378-2400-(75*0.877)-(150*0.769))/0.675

    Trade-in value = $301

  • Author
    Posts
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