3.The quarterly earnings (in $ millions) of a steel company have been recorded as follows:
Period |
Actual Earnings |
Average |
Seasonal ratio |
Seasonal index |
||
2016 |
Quarter 1 |
1 |
334 |
|||
Quarter 2 |
2 |
492 |
||||
Quarter 3 |
3 |
368 |
||||
Quarter 4 |
4 |
278 |
||||
2017 |
Quarter 1 |
5 |
324 |
|||
Quarter 2 |
6 |
550 |
||||
Quarter 3 |
7 |
394 |
||||
Quarter 4 |
8 |
288 |
||||
2018 |
Quarter 1 |
9 |
314 |
|||
Quarter 2 |
10 |
532 |
||||
Quarter 3 |
11 |
394 |
||||
Quarter 4 |
12 |
312 |
||||
2019 |
Quarter 1 |
1 |
344 |
|||
Quarter 2 |
2 |
522 |
||||
Quarter 3 |
3 |
368 |
||||
Quarter 4 |
4 |
298 |
Complete the table above and calculate the seasonal indices. Round all seasonal ratios and seasonal indices to two decimal places. ( 5 marks)
Suppose projected earnings for 2020 are $1600 million, what earnings should the company expect in each quarter (2 decimal places)? ( 2 marks)
Only this info is provided
Centered | ||||||
Moving | Ratio to | Seasonal | ||||
t | Year | Quarter | Data | Average | CMA | Indexes |
1 | 1 | 1 | 492 | 1.38 | ||
2 | 1 | 2 | 368 | 1.01 | ||
3 | 1 | 3 | 278 | 372.750 | 0.75 | 0.76 |
4 | 1 | 4 | 324 | 383.250 | 0.85 | 0.85 |
5 | 2 | 1 | 550 | 387.750 | 1.42 | 1.38 |
6 | 2 | 2 | 394 | 387.750 | 1.02 | 1.01 |
7 | 2 | 3 | 288 | 384.250 | 0.75 | 0.76 |
8 | 2 | 4 | 314 | 382.000 | 0.82 | 0.85 |
9 | 3 | 1 | 532 | 385.000 | 1.38 | 1.38 |
10 | 3 | 2 | 394 | 391.750 | 1.01 | 1.01 |
11 | 3 | 3 | 312 | 394.250 | 0.79 | 0.76 |
12 | 3 | 4 | 344 | 389.750 | 0.88 | 0.85 |
13 | 4 | 1 | 522 | 384.750 | 1.36 | 1.38 |
14 | 4 | 2 | 368 | 1.01 | ||
15 | 4 | 3 | 298 | 0.76 | ||
4 | 4 | 0.85 |
553044013.1 |
403482061.4 |
304221512.8 |
339252412.8 |
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