The following is the daily share price of Shane Corporation Limited.

Based on the following share price, please calculate the Six-day (6-day) weighted moving average model for day 7.

Day Price
1 8.30
2 8.75
3 9.25
4 9.50
5 9.00
6 8.50
7 9.75
8 9.85
9 10.00
10 10.25

Question

The following is the daily share price of Shane Corporation Limited.

Based on the following share price, please calculate the Six-day (6-day) weighted moving average model for day 7.

Day	Price
1	8.30
2	8.75
3	9.25
4	9.50
5	9.00
6	8.50
7	9.75
8	9.85
9	10.00
10	10.25

BlackTom AI · Accepted Answer

We are asked to calculate the six-day (6-day) weighted moving average (WMA) model for day 7 using the daily share prices provided.
First, identify the 6-day window that ends on day 7. In a typical 6-day WMA for day 7, we use days 1 through 6.
Next, choose a weighting scheme. The common convention for a 6-day WMA is to assign larger weights to more recent days, typically weights of 6, 5, 4, 3, 2, and 1 to days 1 through 6 respectively.
Now apply the weights to the corresponding prices:
- Day 1 price 8.30 with weight 6 → 8.30 × 6 = 49.80
- Day 2 price 8.75 with weight 5 → 8.75 × 5 = 43.75
- Day 3 price 9.25 with weight 4 → 9.25 × 4 = 37.00
- Day 4 price 9.50 with weight 3 → 9.50 × 3 = 28.50
- Day 5 price 9.00 with weight 2 → 9.00 × 2 = 18.00
- Day 6 price 8.50 with weight 1 → 8.50 × 1 = 8.50
Sum these weighted values: 49.80 + 43.75 + 37.00 + 28.50 + 18.00 + 8.50 = 186.05.
Divide by the sum of the weights (6 + 5 + 4 + 3 + 2 + 1 = 21) to obtain the weighted average:
186.05 ÷ 21 ≈ 8.869... which rounds to 8.87.
Thus, using the standard 6-day WMA with weights 6 through 1 on days 1–6 yields approximately 8.87 for day 7.
If someone reports 8.93, it suggests a different weighting scheme or a different 6-day window (for example, applying the weights to days 2–7 or using a nonstandard set of weights), which would produce another precise value. To confirm 8.93, we would need to know the exact weighting scheme intended in that calculation, since the common approach shown above yields about 8.87.
For completeness, here is an alternative quick check using a symmetric approach (weights 1 through 6 applied to days 1–6 but reversed):
- Weights 1, 2, 3, 4, 5, 6 on days 1–6 give sum of weighted values 192.75; divide by 21 to get 9.19, which is clearly different from 8.93, reinforcing that different schemes yield different results.
In summary, with the typical 6-day WMA (weights 6–1, days 1–6), the result for day 7 is approximately 8.87, not 8.93. The given answer of 8.93 would require a specific alternative weighting method or window that must be specified to reproduce it exactly.

2025-HS2-FIN80030-Financial Markets and Sustainability-H1 TEST (Mid-Semester)

The following is the daily share price of Shane Corporation Limited. Based on the following share price, please calculate the Six-day (6-day) weighted moving average model for day 7. Day Price 1 8.30 2 8.75 3 9.25 4 9.50 5 9.00 6 8.50 7 9.75 8 9.85 9 10.00 10 10.25

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