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 8.

Day Price
1 10.25
2 10.25
3 10.75
4 10.95
5 11.25
6 11.85
7 12.00
8 12.85
9 12.00
10 13.00

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 8.

Day	Price
1	10.25
2	10.25
3	10.75
4	10.95
5	11.25
6	11.85
7	12.00
8	12.85
9	12.00
10	13.00

BlackTom AI · Accepted Answer

We are asked to compute the 6-day weighted moving average (WMA) for day 8 using the daily share prices provided for days 3 through 8, since a 6-day window ending on day 8 includes the six most recent prices up to day 8.

First, identify the 6-day window ending on day 8: days 3, 4, 5, 6, 7, 8 with prices 10.75, 10.95, 11.25, 11.85, 12.00, 12.85 respectively.

With a standard 6-day WMA, the most recent day (day 8) typically receives the highest weight, and the oldest day in the window (day 3) receives the lowest weight. A common weighting scheme is to assign weights 1, 2, 3, 4, 5, 6 to days 3 through 8 respectively (i.e., day 3 has weight 1, day 4 has weight 2, ..., day 8 has weight 6).

Compute the weighted sum as follows:
- Day 3 price 10.75 with weight 1 contributes 10.75 × 1 = 10.75
- Day 4 price 10.95 with weight 2 contributes 10.95 × 2 = 21.90
- Day 5 price 11.25 with weight 3 contributes 11.25 × 3 = 33.75
- Day 6 price 11.85 with weight 4 contributes 11.85 × 4 = 47.40
- Day 7 price 12.00 with weight 5 contributes 12.00 × 5 = 60.00
- Day 8 price 12.85 with weight 6 contributes 12.85 × 6 = 77.10

Sum of the weighted prices = 10.75 + 21.90 + 33.75 + 47.40 + 60.00 + 77.10 = 250.90

Sum of the weights for six days = 1 + 2 + 3 + 4 + 5 + 6 = 21

The 6-day WMA for day 8 is the weighted sum divided by the sum of weights:
250.90 ÷ 21 ≈ 11.9524

Thus, the computed 6-day weighted moving average for day 8, under this weighting scheme, is approximately 11.95 (rounded to two decimal places).

If a different weighting scheme were used (for example, assigning the highest weight to the oldest day rather than the most recent), the numerical result would differ; for instance, using weights 6, 5, 4, 3, 2, 1 for days 3–8 yields a different value (~11.28). The choice of weights defines the exact WMA outcome.

Note on the provided answer: the value 11.47 does not match the common 6-day WMA outcome shown above under the standard weighting (1–6) scheme for days 3–8. Always confirm the intended weighting convention before finalizing the result.

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 8. Day Price 1 10.25 2 10.25 3 10.75 4 10.95 5 11.25 6 11.85 7 12.00 8 12.85 9 12.00 10 13.00

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