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Quantitative Methods MCQ - Quantitative Methods Section 1

71 The weekly rainfall received by some areas in Australia during June 2013 is tabulated below:

Port Hedland	100 mm	Falls Creek	176 mm
Gove	15 mm	Esperance	66 mm
Millbrook	107 mm	Mt Read	74 mm
Tree HouseCreek	120 mm	Samuel Hill	113mm
Thredbo	178 mm	Hunters Hill	132 mm

The range for this data set is closest to:

Range = Maximum value - Minimum value Range = 178 - 15 = 163.

72 The number of pages read by a group of students per day is given below:

Patrick	100	Fiona	175
Salis	65	James	50
Melisa	27	Nelson	20
Tina	120	Samuel	75
Thomas	34	Gordon	90

The mean absolute deviation (MAD) is closest to:

73 The dividend yield for five hypothetical companies is given below:

Paknama	10.5%
Genie Ltd.	16.25%
Mirinda Corp.	27.0%
Tina Travels Ltd.	12.0%
Thomas Press Ltd.	7.8%

The population variance is closest to:

Use the following keystrokes to calculate the population variance: [2nd] [DATA] [2nd] [CLR WRK] X01 = 10.5 X02 = 16.25 X03 = 27 X04 = 12 X05 = 7.8 Choose the population standard deviation: σ = 6.723. Then square it, to get population variance as 45.2.

74 The return on equity for four hypothetical companies is given below:

Little Wonder	10.5%
Genesis Ltd.	16.25%
Moral Corp.	9.81%
Travis Ltd.	12.0%

The population standard deviation is closest to:

75 The dividend yield for five hypothetical companies from a list of 100 companies is given below:

Paknama	10.5%
Genie Ltd.	16.25%
Mirinda Corp.	27.0%
Tina Travels Ltd.	12.0%
Thomas Press Ltd.	7.8%

The sample variance is closest to:

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Discounting

Discounting is the reverse of compounding. It converts future cash flows into present values by applying a discount rate over the relevant number of periods.

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Question:

A portfolio has the following annual returns: 5%, 11%, -6%, 0%. The geometric mean across the four-year period is closest to:

A. 2.3%.
B. 2.5%.
C. 2.6%.

Correct answer: A

Explanation:

The geometric mean return is calculated as = [(1 + 0.05) × (1 + 0.11) × (1 − 0.06) × (1 + 0.00)]0.25 − 1 = 0.0231 ~…

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