Standard deviation question (2013 released question)

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  • #177439
    k1zuna
    Member

    39. CPA-

    An accountant has been retained by a company as an investment advisor for its employees. Research of historical rates of return yields the following information:

    Type of Investment Mean Return Standard Deviation

    Common stocks 12% 20%

    Long-term corporate bonds 6% 8%

    Intermediate-term government bonds 5% 5%

    U.S. Treasury bills 4% 3%

    Which of the following investments has the greatest reward/risk ratio if a return’s standard deviation is an accurate assessment of investment risk?

    a. Common stocks.

    b. Long-term corporate bonds.

    c. Intermediate-term government bonds.

    d. U.S. Treasury bills. (correct)

    ????????????????????????????????????????????

    I’m tired of seeing questions not covered by becker…. URGH.

    FAR - Passed
    AUD - Passed
    BEC - Passed
    REG - 8/22/2013

Viewing 7 replies - 1 through 7 (of 7 total)
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  • #412116
    J
    Member

    Answer should be A – Common Stock. The “reward” consideration is obviously the return; in this question, common stock has an average return of 12%, which is significantly above the other possible investments (this is historically true as well; common stock averages a bit better than 8% annually). The risk deals with the variation (in this case represented by the standard deviation) of return. Most of these situations infer a normal distribution (perfectly shaped bell curve with equal distributions to the left or the right of the mean).

    Therefore with a mean (or average) return of 12% but a higher standard deviation, this means that your return could be significantly higher than the mean but could also be significantly lower (hence a greater risk). In this problem, I believe that the standard deviation in percentage form refers to the percentage deviation away from the mean. Hence, if you take 12% * 0.2 (20%), this means that one standard deviation to the left or right of the mean would be +/- 2.4%… anywhere from 9.6% to 12.4%. If you recall the Empirical Rule in that approximately 68% of observations in a normal distribution fall within 1 standard deviation from the mean, approximately 95% fall within 2 standard deviations, and approximately 99.7% fall within 3 standard deviations… you can see that there is a much more significant risk involved here with respect to the other potential investments.

    #412117
    so1913
    Participant

    Great :/….

    AUD - 90 Pass
    REG - 70,61,81 Pass DONE DONE DOOOOONNEEE!!!!!!!!
    BEC - 79 - Pass
    FAR - 70,82 - Pass

    #412118
    so1913
    Participant

    Great :/….

    AUD - 90 Pass
    REG - 70,61,81 Pass DONE DONE DOOOOONNEEE!!!!!!!!
    BEC - 79 - Pass
    FAR - 70,82 - Pass

    #412119
    k1zuna
    Member

    Thanks InterFC1. I'm just surprised that Becker doesn't even cover standard deviation…

    According to Becker, the answer is D (no idea why). But your explanation makes much more sense.

    FAR - Passed
    AUD - Passed
    BEC - Passed
    REG - 8/22/2013

    #412120
    J
    Member

    Looks like I missed the word “ratio” in that question… my explanation makes perfect sense if you're considering the overall risk/reward relationship; I think that what the question is asking is which investment gives you the greatest reward with the least amount of risk, which would be “D” in the sense that it offers you a better return (although lower than any of the other options) with lower risk. You don't even need my explanation for this one; you can just look at the given numbers and do a quick ratio for each to come up with “D”.

    Regardless, this is a very minuscule topic in the grand scheme of things; you *might* see one question on something like that.

    #412121
    Anonymous
    Inactive

    All the question is asking is of:

    6/10

    6/8

    5/5

    4/3

    which is the biggest

    #412122
    k1zuna
    Member

    thanks Darcer

    FAR - Passed
    AUD - Passed
    BEC - Passed
    REG - 8/22/2013

Viewing 7 replies - 1 through 7 (of 7 total)
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