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The table below shows the closing monthly stock prices for Amazon.com and Google

ID: 2737658 • Letter: T

Question

The table below shows the closing monthly stock prices for Amazon.com and Google during 2011. Calculate the exponential three-month moving average for both stocks where two-thirds of the average weight is placed on the most recent price.

AMZN GOOG   January     $ 169.64 $ 600.36   February 173.29 613.40   March 180.13 586.76   April 195.81 544.10   May 196.69 529.02   June 204.49 506.38   July 222.52 603.69   August 215.23 540.96   September 216.23 515.04   October 213.51 592.64   November 192.29 599.39   December 173.10 645.90

Explanation / Answer

March AMAZON = 169.64(1/6) + 173.29(1/6) + 180.13(2/3) = 28.273 + 28.882 + 120.087 =$177.242
OR
March AMAZON = (169.64 + 173.29) / 2 = 342.93/2 = $171.465

$171.465 x 0.333 = 57.098

$57.098 + (180.13 x .667) = $57.098 + 120.147 =$177.245

April AMAZON =173.29(1/6) + 180.13(1/6) + 195.81(2/3) = $189.443

April AMAZON =(173.29 + 180.13) / 2 = $176.71

$176.71 * 0.333 = $58.844

$58.844 + (195.81 * 0.667) = 58.844+130.605 =$189.449

May AMAZON = 180.13(1/6) + 195.81(1/6) + 196.69(2/3) = $193.783

May AMAZON =(180.13+195.81) / 2 = $187.97

$187.97 * 0.333 = $62.594

$62.594 + (196.69 * 0.667) = 62.594+131.192 =$193.786

June AMAZON =195.81(1/6) + 196.69(1/6) + 204.49(2/3) = $201.743

June AMAZON =(195.81+196.69) / 2 = $196.25

$196.25 * 0.333 = $65.351

$65.351 + (204.49 * 0.667) = 65.351+136.395 =$201.746

July AMAZON =196.69(1/6) + 204.49(1/6) + 222.52(2/3) = $215.21

July AMAZON =(196.69+204.49) / 2 = $200.59

$200.59 * 0.333 = $66.796

$66.796 + (222.52 * 0.667) = 66.796+148.421 =$215.217

August AMAZON =204.49(1/6) + 222.52(1/6) +215.23(2/3) = $214.655

August AMAZON =(204.49+222.52) / 2 = $213.505

$213.505 * 0.333 = $71.097

$71.097 + (215.23 * 0.667) = 71.097+143.558 =$214.655

September AMAZON =222.52(1/6) +215.23(1/6) + 216.23(2/3) = $217.112

September AMAZON =(222.52+215.23) / 2 = $218.875

$218.875 * 0.333 = $72.885

$72.885 + (216.23 * 0.667) = 72.885+144.225=$217.110

October AMAZON =215.23(1/6) + 216.23(1/6) + 213.51(2/3) = $214.25

October AMAZON =(215.23+216.23) / 2 = $215.73

$215.73 * 0.333 = $71.838

$71.838 + (213.51 * 0.667) = 71.838+142.411=$214.249

November AMAZON =216.23(1/6) + 213.51(1/6) + 192.29(2/3) = $199.817

November AMAZON =(216.23+213.51) / 2 = $214.87

$214.87 * 0.333 = $71.552

$71.552 + (192.29 * 0.667) =71.552+128.257=$199.809

December AMAZON =213.51(1/6) + 192.29(1/6) + 173.10(2/3) = $183.033

December AMAZON =(213.51+192.29) / 2 = $202.9

$202.9 * 0.333 = $67.565

$67.565 + (173.10 * 0.667) =67.565+115.458=$183.023

March GOOG = 600.36(1/6) + 613.40(1/6) + 586.76(2/3) =$593.467
OR
March GOOG = (600.36 + 613.40) / 2 = $606.88

$606.88 x 0.333 = 202.091

$202.091 + (586.76 x .667) = $202.091 + 391.369 =$593.460

April GOOG =613.40(1/6) + 586.76(1/6) + 544.10(2/3) = $562.76

April GOOG =(613.40+586.76) / 2 = $600.08

$600.08 * 0.333 = $199.827

$199.827 + (544.10 * 0.667) = 199.827+362.915 =$562.742

May GOOG =586.76(1/6) + 544.10(1/6) + 529.02(2/3) = $541.157

May GOOG =(586.76+544.10) / 2 = $565.43

$565.43 * 0.333 = $188.288

$188.288 + (529.02 * 0.667) = 188.288+352.856 =$541.144

june GOOG =544.10(1/6) + 529.02(1/6) + 506.38(2/3) = $516.44

june GOOG =(544.10+529.02) / 2 = $536.56

$536.56 * 0.333 = $178.674

$178.674 + (506.38 * 0.667) = 178.674+337.755 =$516.429

july GOOG = 529.02(1/6) + 506.38(1/6)+ 603.69(2/3) = $575.027

july GOOG =(529.02+506.38) / 2 = $517.7

$517.7 * 0.333 = $172.394

$172.394 + (603.69 * 0.667) = 172.394+402.661 =$575.055

august GOOG = 506.38(1/6)+ 603.69(1/6) + 540.96(2/3) = $545.652

august GOOG =(506.38+603.69) / 2 = $555.035

$555.035 * 0.333 = $184.827

$184.827 + (540.96 * 0.667) = 184.827+360.820 =$ 545.647

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