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Times series analysis

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA MA – FIA FMA › Times series analysis

  • This topic has 3 replies, 2 voices, and was last updated 11 years ago by John Moffat.
Viewing 4 posts - 1 through 4 (of 4 total)
  • Author
    Posts
  • May 27, 2014 at 2:57 pm #171177
    zwahira
    Member
    • Topics: 26
    • Replies: 44
    • ☆☆

    dear sir can you help me with these two questions?

    1.A product has a constant(flat)trend in its sales, and is subject to quarterly seasonal variations as follows:

    Quarter Q1 Q2 Q3 Q4
    Seasonal +50% +50% -50% -50%

    sales last quarter, Q2 were 240 units
    Assuming a multiplicative model for the time series, predicted unit sales for the next quarter will be closet to

    A.80
    B120
    C160
    D320

    2.In a time series analysis, using additive model, at a certain time, the following data is obtained.

    Actual value 170
    Trend 182
    Seasonal Value -12.8

    The residual value at this point is
    A-0.8
    B0.8
    C-24.8
    D24.8

    May 27, 2014 at 6:07 pm #171209
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54831
    • ☆☆☆☆☆

    1) If the trend is constant, it would mean that if there were no seasonal variation then we would expect sales in the next quarter (Q3) to be 240.
    However, there is a seasonal variation in Q3 of -50%, so the actual forecast for Q3 will be 240 – (50% x 240) = 120.

    2) Our forecast would the trend (182) adjusted by the seasonal variation ( -12.8) which would be 182-12.8 = 169.2

    The actual figure is 170.

    So the difference is 170 – 169.2 = +0.8

    May 28, 2014 at 9:13 am #171367
    zwahira
    Member
    • Topics: 26
    • Replies: 44
    • ☆☆

    Thanks you sir

    May 28, 2014 at 11:05 am #171388
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54831
    • ☆☆☆☆☆

    You are welcome 🙂

  • Author
    Posts
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