Question

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Using the stock prices in Problem 3, calculate the exponential three-month moving average for both stocks...

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 Google
$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

Solutions

Expert Solution

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 Google 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. Google 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

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