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The table below shows the closing monthly stock prices for IBM and Amazon. Calculate the exponential...

The table below shows the closing monthly stock prices for IBM and Amazon. Calculate the exponential three-month moving average for both stocks where two-thirds of the average weight is placed on the most recent price. (Do not round intermediate calculations. Round your answers to 2 decimal places.)

IBM AMZN
January $ 172.64 $ 607.61
February 175.29 618.80
March 186.43 579.71
April 202.46 546.10
May 194.29 518.62
June 206.79 500.38
July 229.17 605.19
August 209.08 538.71
September 218.63 513.74
October 214.11 597.69
November 194.54 595.04
December 174.50 651.40

Solutions

Expert Solution

A B C
IBM 3 Month Average Smoothing Constant Exponential Moving average(IBM) AMZN Smoothing Constant 3 Month Average Exponential Moving average(AMZN)
January 172.64 0.6666667 607.61 0.6666667
February 175.29 0.6666667 618.8 0.6666667
March 186.43 178.12 0.6666667 178.12 579.71 0.6666667 602.04 602.04
April 202.46 0.6666667 194.3466675 546.1 0.6666667 564.75
May 194.29 0.6666667 194.3088892 518.62 0.6666667 534.00
June 206.79 0.6666667 202.6296301 500.38 0.6666667 511.59
July 229.17 0.6666667 220.3232109 605.19 0.6666667 573.99
August 209.08 0.6666667 212.8277366 538.71 0.6666667 550.47
September 218.63 0.6666667 216.6959124 513.74 0.6666667 525.98
October 214.11 0.6666667 214.9719707 597.69 0.6666667 573.79
November 194.54 0.6666667 201.3506562 595.04 0.6666667 587.96
December 174.5 0.6666667 183.4502178 651.4 0.6666667 630.25
Smoothing Constant 2/3= 0.6666667
IBM
March Moving Average 178.12 (172.64+175.29+186.43)/3
April moving Average=0.666667*(202.46-178.12)+178.12= 194.34667
May Moving Average=0.666667*(194.29-194.346667))+194.346667= 194.3089
AMZN
March Moving Average (607.61+618.8+579.71)/3
April moving Average=0.666667*(546.1-602.04)+602.04= 564.75
May Moving Average=0.666667*(518.62-564.75))+564.75= 534.00

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