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  • 1.[单选题] 纠错 收藏 提问 移除
    From an approved list of 25 funds, a portfolio manager wants to rank 4 mutual funds from most recommended to least recommended. Which formula is most appropriate to calculate the number of possible ways the funds could be ranked?
    A

    Permutation formula

    B

    Multinomial formula

    C

    Combination formula

  • 2.[单选题] 纠错 收藏 提问 移除

    For a binomial random variable with five trials, and a probability of success on each trial of 0.50, the distribution will be:

    A

    skewed.

    B

    uniform.

    C

    symmetric

  • 3.[单选题] 纠错 收藏 提问 移除

    Which of the following assets most likely requires the use of a multivariate distribution for modeling returns?

    A

    A call option on a bond

    B

    A portfolio of technology stocks

    C

    A stock in a market index

  • 4.[单选题] 纠错 收藏 提问 移除
    The total number of parameters that fully characterizes a multivariate normal distribution for the returns on two stocks is:
    A

    3

    B

    4

    C

    5

  • 5.[单选题] 纠错 收藏 提问 移除

    A portfolio has an expected return of 7% with a standard deviation of 13%. For an investor with a minimum annual return target of 4%, the probability that the portfolio return will fail to meet the target is closest to:


    image.png

    A

    33%.

    B

    41%.

    C

    59%.

  • 6.[单选题] 纠错 收藏 提问 移除

    X is a discrete random variable with possible outcomes X = {1,2,3,4}. Three functions f(x), g(x), and h (x) are proposed to describe the probabilities of the outcomes in X.


    image.png


    The conditions for a probability function are satisfied by:

    A

    f(x).

    B

    g(x).

    C

    h(x).

  • 7.[单选题] 纠错 收藏 提问 移除

    The cumulative distribution function for a discrete random variable is shown in the following table.


    image.png

    The probability that X will take on a value of either 2 or 4 is closest to:

    A

    0.2

    B

    0.35

    C

    0.85

  • 8.[单选题] 纠错 收藏 提问 移除

    The weekly closing prices of Mordice Corporation shares are as follows:


    image.png

    The continuously compounded return of Mordice Corporation shares for the period August 1 to August 15 is closest to:

    A

    6.90%

    B

    7.14%

    C

    8.95%

  • 9.[单选题] 纠错 收藏 提问 移除
    A stock is priced at $100.00 and follows a one-period binomial process with an up move that equals 1.05 and a down move that equals 0.97. If 1 million Bernoulli trials are conducted, and the average terminal stock price is $102.00, the probability of an up move (p) is closest to:
    A

    0.375

    B

    0.5

    C

    0.625

  • 10.[单选题] 纠错 收藏 提问 移除

    Suppose we take a random sample of 30 companies in an industry with 200 companies. We calculate the sample mean of the ratio of cash flow to total debt for the prior year. We find that this ratio is 23 percent. Subsequently, we learn that the population cash flow to total debt ratio (taking account of all 200 companies) is 26 percent. What is the explanation for the discrepancy between the sample mean of 23 percent and the population mean of 26 percent?

    A

    Sampling error.

    B

    Bias.

    C

    A lack of consistency.

  • 11.[单选题] 纠错 收藏 提问 移除

    A population has a non-normal distribution with mean µ and variance σ2. The sampling distribution of the sample mean computed from samples of large size from that population will have:

    A

    the same distribution as the population distribution.

    B

    its mean approximately equal to the population mean.

    C

    its variance approximately equal to the population variance.

  • 12.[单选题] 纠错 收藏 提问 移除
    A sample mean is computed from a population with a variance of 2.45. The sample size is 40. The standard error of the sample mean is closest to:
    A

    0.039.

    B

    0.247.

    C

    0.387.

  • 13.[单选题] 纠错 收藏 提问 移除

    If an estimator is consistent, an increase in sample size will increase the:

    A

    accuracy of estimates.

    B

    efficiency of the estimator.

    C

    unbiasedness of the estimator.

  • 14.[单选题] 纠错 收藏 提问 移除
    For a two-sided confidence interval, an increase in the degree of confidence will result in:
    A

    a wider confidence interval.

    B

    a narrower confidence interval.

    C

    no change in the width of the confidence interval.

  • 15.[单选题] 纠错 收藏 提问 移除
    As the t-distribution’s degrees of freedom decrease, the t-distribution most likely:
    A

    exhibits tails that become fatter.

    B

    approaches a standard normal distribution.

    C

    becomes asymmetrically distributed around its mean value.

  • 16.[单选题] 纠错 收藏 提问 移除

    A report on long-term stock returns focused exclusively on all currently publicly traded firms in an industry is most likely susceptible to:

    A

    look-ahead bias.

    B

    survivorship bias.

    C

    intergenerational data mining.

  • 17.[单选题] 纠错 收藏 提问 移除

    A client requires £100,000 one year from now. If the stated annual rate is 2.50% compounded weekly, the deposit needed today is closest to:

    A

    £97,500.

    B

    £97,532.

    C

    £97,561.

  • 18.[单选题] 纠错 收藏 提问 移除
    Which of the following statements about hypothesis testing is correct?
    A

    The null hypothesis is the condition a researcher hopes to support.

    B

    The alternative hypothesis is the proposition considered true without conclusive evidence to the contrary.

    C

    The alternative hypothesis exhausts all potential parameter values not accounted for by the null hypothesis.

  • 19.[单选题] 纠错 收藏 提问 移除

    Which of the following statements is correct with respect to the null hypothesis?

    A

    It is considered to be true unless the sample provides evidence showing it is false.

    B

    It can be stated as “not equal to” provided the alternative hypothesis is stated as “equal to.”

    C

    In a two-tailed test, it is rejected when evidence supports equality between the hypothesized value and population parameter.

  • 20.[单选题] 纠错 收藏 提问 移除

    A hypothesis test for a normally-distributed population at a 0.05 significance level implies a:

    A

    95% probability of rejecting a true null hypothesis.

    B

    95% probability of a Type I error for a two-tailed test.

    C

    5% critical value rejection region in a tail of the distribution for a one-tailed test.

  • 21.[单选题] 纠错 收藏 提问 移除

    The value of a test statistic is best described as the basis for deciding whether to:

    A

    reject the null hypothesis.

    B

    accept the null hypothesis.

    C

    reject the alternative hypothesis.

  • 22.[单选题] 纠错 收藏 提问 移除
    Which of the following is a Type I error?
    A

    Rejecting a true null hypothesis

    B

    Rejecting a false null hypothesis

    C

    Failing to reject a false null hypothesis

  • 23.[单选题] 纠错 收藏 提问 移除

    The level of significance of a hypothesis test is best used to:

    A

    calculate the test statistic.

    B

    define the test’s rejection points.

    C

    specify the probability of a Type II error.

  • 24.[单选题] 纠错 收藏 提问 移除

    When making a decision in investments involving a statistically significant result, the:

    A

    economic result should be presumed meaningful.

    B

    statistical result should take priority over economic considerations.

    C

    economic logic for the future relevance of the result should be further explored.

  • 25.[单选题] 纠错 收藏 提问 移除

    An analyst tests the profitability of a trading strategy with the null hypothesis being that the average abnormal return before trading costs equals zero. The calculated t-statistic is 2.802, with critical values of ± 2.756 at significance level α = 0.01. After considering trading costs, the strategy’s return is near zero. The results are most likely:

    A

    statistically but not economically significant.

    B

    economically but not statistically significant.

    C

    neither statistically nor economically significant.

  • 26.[单选题] 纠错 收藏 提问 移除

    Which of the following statements on p-value is correct?

    A

    The p-value is the smallest level of significance at which H0 can be rejected.

    B

    The p-value indicates the probability of making a Type II error.

    C

    The lower the p-value, the weaker the evidence for rejecting the H0.

  • 27.[单选题] 纠错 收藏 提问 移除

    Which of the following tests of a hypothesis concerning the population mean is most appropriate?

    A

    A z-test if the population variance is unknown and the sample is small

    B

    A z-test if the population is normally distributed with a known variance

    C

    A t-test if the population is non-normally distributed with unknown variance and a small sample

  • 28.[单选题] 纠错 收藏 提问 移除

    For a small sample from a normally distributed population with unknown variance, the most appropriate test statistic for the mean is the:

    A

    z-statistic.

    B

    t-statistic.

    C

    χ2 statistic.

  • 29.[单选题] 纠错 收藏 提问 移除

    A pooled estimator is used when testing a hypothesis concerning the:

    A

    equality of the variances of two normally distributed populations.

    B

    difference between the means of two at least approximately normally distributed populations with unknown but assumed equal variances.

    C

    difference between the means of two at least approximately normally distributed populations with unknown and assumed unequal variances.

  • 30.[单选题] 纠错 收藏 提问 移除
    When evaluating mean differences between two dependent samples, the most appropriate test is a:
    A

    chi-square test.

    B

    paired comparisons test.

    C

    z-test.

  • 31.[单选题] 纠错 收藏 提问 移除

    A fund manager reported a 2% mean quarterly return over the past ten years for its entire base of 250 client accounts that all follow the same investment strategy. A consultant employing the manager for 45 client accounts notes that their mean quarterly returns were 0.25% less over the same period. The consultant tests the hypothesis that the return disparity between the returns of his clients and the reported returns of the fund manager’s 250 client accounts are significantly different from zero. Assuming normally distributed populations with unknown population variances, the most appropriate test statistic is:

    A

    a paired comparisons t-test.

    B

    a t-test of the difference between the two population means.

    C

    an approximate t-test of mean differences between the two populations.

  • 32.[单选题] 纠错 收藏 提问 移除

    Which of the following should be used to test the difference between the variances of two normally distributed populations?

    A

    t-test

    B

    F-test

    C

    Paired comparisons test

  • 33.[单选题] 纠错 收藏 提问 移除

    An investment pays €300 annually for five years, with the first payment occurring today. The present value (PV) of the investment discounted at a 4% annual rate is closest to:

    A

    € 1,336

    B

    € 1,389

    C

    € 1,625

  • 34.[单选题] 纠错 收藏 提问 移除

    Technical analysis relies most importantly on:

    A

    price and volume data.

    B

    accurate financial statements.

    C

    fundamental analysis to confirm conclusions.

  • 35.[单选题] 纠错 收藏 提问 移除

    Drawbacks of technical analysis include which of the following?

    A

    It identifies changes in trends only after the fact.

    B

    Deviations from intrinsic value can persist for long periods.

    C

    It usually requires detailed knowledge of the financial instrument under analysis.

  • 36.[单选题] 纠错 收藏 提问 移除

    A daily bar chart provides:

    A

    a logarithmically scaled horizontal axis.

    B

    a horizontal axis that represents changes in price.

    C

    high and low prices during the day and the day’s opening and closing prices.

  • 37.[单选题] 纠错 收藏 提问 移除

    A candlestick chart is similar to a bar chart except that the candlestick chart:

    A

    represents upward movements in price with X’s.

    B

    also graphically shows the range of the period’s highs and lows.

    C

    has a body that is light or dark depending on whether the security closed higher or lower than its open.

  • 38.[单选题] 纠错 收藏 提问 移除

    Credit yield spreads most likely widen in response to: 


    image.png



    image.png




    image.png




    A

    high demand for bonds.

    B

    weak performance of equities.

    C

    strengthening economic conditions.

  • 39.[单选题] 纠错 收藏 提问 移除

    A simple random sample is a sample drawn in such a way that each member of the population has:

    A

    some chance of being selected in the sample.

    B

    an equal chance of being included in the sample.

    C

    a 1% chance of being included in the sample.

  • 40.[单选题] 纠错 收藏 提问 移除

    Sampling error is defined as:

    A

    an error that occurs when a sample of less than 30 elements is drawn.

    B

    an error that occurs during collection, recording, and tabulation of data.

    C

    the difference between the value of a sample statistic and the value of the corresponding population parameter.

  • 41.[单选题] 纠错 收藏 提问 移除

    Which of the following is most closely associated with survivorship bias?

    A

    Price-to-book studies.

    B

    Stratified bond sampling studies.

    C

    Mutual fund performance studies.

  • 42.[单选题] 纠错 收藏 提问 移除
    An analyst wants to test a hypothesis concerning the population mean of monthly returns for a composite that has existed for 24 months. The analyst may appropriately use:
    A

    a t-test but not a z-test if returns for the composite are normall distributed.

    B

    either a t-test or a z-test if returns for the composite are normall distributed.

    C

    a t-test but not a z-test, regardless of the distribution of returns for the composite.

考试形式介绍

FRM考试分为两个级别,一级考试共100道单选题(4选1),考试时间4小时;二级考试共80道单选题(4选1),考试时间4小时。FRM考试采用全英文考试,较长的考试时间、较难的考试内容,对考生的脑力和体力都形成了巨大的压力。因此,坚持不懈的练习是FRM备考过程中必不可少的学习步骤。

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