In: Economics
TI have provided two "mystery" time series below. Each is a real world, quarterly time series, that has been transformed in some way so that you cannot discover (easily) its true identity. Your asignment is to create a 1-year (4-quarter) forecast for each series. You can use any method or combination of methods that you feel is best.
Forecast should be submitted as a spreadsheet.
| Series X | 
| 91.49754 | 
| 113.0043 | 
| 135.4433 | 
| 152.3375 | 
| 102.7495 | 
| 114.6203 | 
| 136.7652 | 
| 161.4187 | 
| 115.3307 | 
| 128.6314 | 
| 160.2941 | 
| 181.7292 | 
| 110.4326 | 
| 122.5296 | 
| 143.1325 | 
| 172.6343 | 
| 104.6544 | 
| 137.3593 | 
| 168.622 | 
| 164.4999 | 
| 113.6247 | 
| 123.6196 | 
| 160.6547 | 
| 177.0142 | 
| 115.5151 | 
| 122.5374 | 
| 167.7764 | 
| 195.3274 | 
| 120.1086 | 
| 137.2762 | 
| 167.5343 | 
| 193.2065 | 
| 130.2599 | 
| 135.7238 | 
| 169.8141 | 
| 174.7266 | 
| 111.5293 | 
| 134.2628 | 
| 157.5919 | 
| 178.2759 | 
| 129.0033 | 
| 136.6669 | 
| 159.8415 | 
| 174.9902 | 
| 104.7216 | 
| 121.0746 | 
| 141.6719 | 
| 153.4197 | 
| 103.6806 | 
| 125.0076 | 
| 141.2849 | 
| 164.4615 | 
| 121.1125 | 
| 134.0084 | 
| 162.7654 | 
| 186.1526 | 
| 132.7394 | 
| 142.2245 | 
| 163.9436 | 
| 181.3076 | 
| 125.8554 | 
| 141.4387 | 
| 162.7154 | 
| 176.054 | 
| 120.2698 | 
| 133.3783 | 
| 159.7422 | 
| 129.9537 | 
| 59.98472 | 
| 80.65274 | 
| 110.7216 | 
| 128.639 | 
| 94.55294 | 
| 105.6408 | 
| 116.0305 | 
| 116.9819 | 
| Series Y | |
| 1.1 | 4,963.6 | 
| 1.2 | 5,003.0 | 
| 1.3 | 5,006.3 | 
| 1.4 | 5,016.4 | 
| 2.1 | 5,061.0 | 
| 2.2 | 5,123.5 | 
| 2.3 | 5,184.6 | 
| 2.4 | 5,249.4 | 
| 3.1 | 5,275.9 | 
| 3.2 | 5,363.6 | 
| 3.3 | 5,468.9 | 
| 3.4 | 5,534.4 | 
| 4.1 | 5,584.2 | 
| 4.2 | 5,651.7 | 
| 4.3 | 5,758.3 | 
| 4.4 | 5,829.7 | 
| 5.1 | 5,958.9 | 
| 5.2 | 6,018.6 | 
| 5.3 | 6,075.4 | 
| 5.4 | 6,227.6 | 
| 6.1 | 6,328.1 | 
| 6.2 | 6,382.8 | 
| 6.3 | 6,427.6 | 
| 6.4 | 6,523.4 | 
| 7.1 | 6,600.5 | 
| 7.2 | 6,554.9 | 
| 7.3 | 6,550.6 | 
| 7.4 | 6,477.4 | 
| 8.1 | 6,300.5 | 
| 8.2 | 6,278.2 | 
| 8.3 | 6,251.3 | 
| 8.4 | 6,271.4 | 
| 9.1 | 6,301.6 | 
| 9.2 | 6,399.8 | 
| 9.3 | 6,454.5 | 
| 9.4 | 6,477.0 | 
| X | Y | 
| 91.49754 | 4,963.60 | 
| 113.0043 | 5,003.00 | 
| 135.4433 | 5,006.30 | 
| 152.3375 | 5,016.40 | 
| 102.7495 | 5,061.00 | 
| 114.6203 | 5,123.50 | 
| 136.7652 | 5,184.60 | 
| 161.4187 | 5,249.40 | 
| 115.3307 | 5,275.90 | 
| 128.6314 | 5,363.60 | 
| 160.2941 | 5,468.90 | 
| 181.7292 | 5,534.40 | 
| 110.4326 | 5,584.20 | 
| 122.5296 | 5,651.70 | 
| 143.1325 | 5,758.30 | 
| 172.6343 | 5,829.70 | 
| 104.6544 | 5,958.90 | 
| 137.3593 | 6,018.60 | 
| 168.622 | 6,075.40 | 
| 164.4999 | 6,227.60 | 
| 113.6247 | 6,328.10 | 
| 123.6196 | 6,382.80 | 
| 160.6547 | 6,427.60 | 
| 177.0142 | 6,523.40 | 
| 115.5151 | 6,600.50 | 
| 122.5374 | 6,554.90 | 
| 167.7764 | 6,550.60 | 
| 195.3274 | 6,477.40 | 
| 120.1086 | 6,300.50 | 
| 137.2762 | 6,278.20 | 
| 167.5343 | 6,251.30 | 
| 193.2065 | 6,271.40 | 
| 130.2599 | 6,301.60 | 
| 135.7238 | 6,399.80 | 
| 169.8141 | 6,454.50 | 
| 174.7266 | 6,477.00 | 
| 111.5293 | 6,408.23 | 
| 134.2628 | 6,434.88 | 
| 157.5919 | 6,443.65 | 
| 178.2759 | 6,440.94 | 
| 129.0033 | |
| 136.6669 | |
| 159.8415 | |
| 174.9902 | |
| 104.7216 | |
| 121.0746 | |
| 141.6719 | |
| 153.4197 | |
| 103.6806 | |
| 125.0076 | |
| 141.2849 | |
| 164.4615 | |
| 121.1125 | |
| 134.0084 | |
| 162.7654 | |
| 186.1526 | |
| 132.7394 | |
| 142.2245 | |
| 163.9436 | |
| 181.3076 | |
| 125.8554 | |
| 141.4387 | |
| 162.7154 | |
| 176.054 | |
| 120.2698 | |
| 133.3783 | |
| 159.7422 | |
| 129.9537 | |
| 59.98472 | |
| 80.65274 | |
| 110.7216 | |
| 128.639 | |
| 94.55294 | |
| 105.6408 | |
| 116.0305 | |
| 116.9819 | |
| 108.301535 | |
| 111.7386838 | |
| 113.2631547 | |
| 112.5713184 | 
The numbers highlighted in RED are the forecasted ones and calculated using a simple excel average formula.
Both the series are forecasted by using a moving average method. Each successive entry is calculated by taking the average of the last 4 quarters, in both the series.
For example: The first forecasted entry in Series X i.e. 108.30 is the average of (94.55 + 105.64 + 116.03 + 116.98) last 4 quaters. The next entry will be the average of the 4 preceding quarters that will also include the first forecast we calculated.
In a similar fashion, forecasts for Series Y are calculated.