In: Finance
Using the stock prices in Problem 3, calculate the exponential three-month moving average for both stocks where two-thirds of the average weight is placed on the most recent price.
| Amazon | |
| $169.64 | $600.36 |
| $173.29 | $613.40 |
| $180.13 | $586.76 |
| $195.81 | $544.10 |
| $196.69 | $529.02 |
| $204.49 | $506.38 |
| $222.52 | $603.69 |
| $215.23 | $540.96 |
| $216.23 | $515.04 |
| $213.51 | $592.64 |
| $192.29 | $599.39 |
| $173.10 | $645.90 |
The 1st step is to compute the simple three month moving average. Simple 3 month moving average = sum of last 3 months price/3
| Amazon | 3 month moving total | 3 month moving average | 3 month moving total | 3 month moving average | ||
| 169.94 | 600.36 | |||||
| 173.29 | 613.40 | |||||
| 180.13 | 586.76 | |||||
| 195.81 | 523.36 | 174.45 | 544.10 | 1,800.52 | 600.17 | |
| 196.69 | 549.23 | 183.08 | 529.02 | 1,744.26 | 581.42 | |
| 204.49 | 572.63 | 190.88 | 506.38 | 1,659.88 | 553.29 | |
| 222.52 | 596.99 | 199.00 | 603.69 | 1,579.50 | 526.50 | |
| 215.23 | 623.70 | 207.90 | 540.96 | 1,639.09 | 546.36 | |
| 216.23 | 642.24 | 214.08 | 515.04 | 1,651.03 | 550.34 | |
| 213.51 | 653.98 | 217.99 | 592.64 | 1,659.69 | 553.23 | |
| 192.29 | 644.97 | 214.99 | 599.39 | 1,648.64 | 549.55 | |
| 173.10 | 622.03 | 207.34 | 645.90 | 1,707.07 | 569.02 | |
| 578.90 | 192.97 | 1,837.93 | 612.64 |
Now alpha = 2/3 (or 0.667). Now we can find exponential three-month moving average. It is = (alpha * actual observation in the t-1th period) + [(1-alpha)*simple moving average in the t-1th period]
For example for Amazon for the 3rd period exponential three-month moving average = 2/3*180.13 + [(1-2/3)*(174.45)] = 178.24
| Amazon | 3 month moving total | 3 month moving average | Exponential moving avg. | 3 month moving total | 3 month moving average | Exponential moving avg. | ||
| 169.94 | 600.36 | |||||||
| 173.29 | 613.40 | |||||||
| 180.13 | 586.76 | |||||||
| 195.81 | 523.36 | 174.45 | 178.24 | 544.10 | 1,800.52 | 600.17 | 591.23 | |
| 196.69 | 549.23 | 183.08 | 191.57 | 529.02 | 1,744.26 | 581.42 | 556.54 | |
| 204.49 | 572.63 | 190.88 | 194.75 | 506.38 | 1,659.88 | 553.29 | 537.11 | |
| 222.52 | 596.99 | 199.00 | 202.66 | 603.69 | 1,579.50 | 526.50 | 513.09 | |
| 215.23 | 623.70 | 207.90 | 217.65 | 540.96 | 1,639.09 | 546.36 | 584.58 | |
| 216.23 | 642.24 | 214.08 | 214.85 | 515.04 | 1,651.03 | 550.34 | 544.09 | |
| 213.51 | 653.98 | 217.99 | 216.82 | 592.64 | 1,659.69 | 553.23 | 527.77 | |
| 192.29 | 644.97 | 214.99 | 214.00 | 599.39 | 1,648.64 | 549.55 | 578.28 | |
| 173.10 | 622.03 | 207.34 | 197.31 | 645.90 | 1,707.07 | 569.02 | 589.27 | |
| 578.90 | 192.97 | 179.72 | 1,837.93 | 612.64 | 634.81 |