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.