In: Finance
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 | |||||
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 | ||||||||||