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.

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 数值题

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