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Use the monthly data (September 2013 - November 2014) provided on the closing pr

ID: 2726030 • Letter: U

Question

Use the monthly data (September 2013 - November 2014) provided on the closing prices for Gold (GLD), NASDAQ, Oil (USO) and Facebook (FB).

What is the approximate value of mean absolute error (MAE) of forecasting based on 5 days moving average for Facebook prices?

4.10

6.08

5.89

4.56

Date GLD NASDAQ USO FB Sep-13 128 3771 37 50 Oct-13 128 3920 35 50 Nov-13 121 4060 33 47 Dec-13 116 4177 35 55 Jan-14 120 4104 35 63 Feb-14 128 4308 37 68 Mar-14 124 4199 37 60 Apr-14 124 4115 36 60 May-14 120 4243 38 63 Jun-14 128 4408 39 67 Jul-14 123 4370 36 73 Aug-14 124 4580 36 75 Sep-14 116 4493 34 79 Oct-14 113 4631 31 75 Nov-14 115 4713 29 74

Explanation / Answer

Moving average = sum of last five days data/ 5

Absolute error = X- moving average

Date

X

moving average

Abs( X- MA)

13-Sep

50

13-Oct

50

13-Nov

47

13-Dec

55

14-Jan

63

50.5

12.5

14-Feb

68

53.75

14.25

14-Mar

60

58.25

1.75

14-Apr

60

61.5

1.5

14-May

63

62.75

0.25

14-Jun

67

62.75

4.25

14-Jul

73

62.5

10.5

14-Aug

75

65.75

9.25

14-Sep

79

69.5

9.5

14-Oct

75

73.5

1.5

14-Nov

74

75.5

1.5

959

66.75

Mean absolute error = sum of error terms / no. of error terms

                                         =66.75 /11

                                        = 6.07

Option B is correct.

Date

X

moving average

Abs( X- MA)

13-Sep

50

13-Oct

50

13-Nov

47

13-Dec

55

14-Jan

63

50.5

12.5

14-Feb

68

53.75

14.25

14-Mar

60

58.25

1.75

14-Apr

60

61.5

1.5

14-May

63

62.75

0.25

14-Jun

67

62.75

4.25

14-Jul

73

62.5

10.5

14-Aug

75

65.75

9.25

14-Sep

79

69.5

9.5

14-Oct

75

73.5

1.5

14-Nov

74

75.5

1.5

959

66.75

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