【考试必考】CFA一级数量分析1：
An investor purchases oneshare of stock for $85. Exactly one year later, the company pays a dividend of$2.00 per share. This is followed by two more annual dividends of $2.25 and$2.75 in successive years. Upon receiving the third dividend, the investorsells the share for $100. The money-weighted rate of return on this investmentis closest to:
A.7.97%.
B.8.15%.
C.8.63%.
Solution: B
The money-weighted rate ofreturn is the internal rate of return (IRR) of the cash flows associated withthe investment. Use the cash flow (CF) function of a financial calculator andenter CF0 = -85, CF1 = 2, CF2 = 2.25, and CF3 = 102.75. Calculate the IRR. Theanswer is 8.15%.
【考试必考】CFA一级数量分析2：
Which of the following statements about type I error is the mostaccurate?
A.The probability of type I error is equal to the significance level.
B.The probability of type I error is equal to the power of test.
C.The increase of sample size will not change the probability of type Ierror.
Solution: A
The probability of a Type I error in testing a hypothesis is denoted bythe Greek letter alpha, This probability is also known as the level ofsignificance of the test. The probability of type I error is to falsely rejectthe null hypothesis.
【考试必考】CFA一级数量分析3：
If the distribution of the population from which the samples are drawn is positively skewed, and given that the sample size is large, the sampling distribution of the sample means is most likely: (引用百题P113 Q47-2)A.approximately normally distributed.
B.to have a variance equal to that of the entire population.
C.to have a mean smaller than the mean of the entire population.
Solution: A
The central limit theorem establishes that the sampling distribution of sample means will be approximately normal, will have a mean equal to the population mean, and will have a variance equal to the population variance divided by the sample size.
【考试必考】CFA一级数量分析4：
Two distributions have the same mean. One is negatively skewed, the other is positively skewed. Which of the following statements is the most accurate? （改写百题P107 Q33-2）A.the median of negatively skewed distribution is greater than the median of positively skewed distributionB.the probability of extremely small values in negatively skewed distribution is greater than that in positively skewed distributionC.negatively skewed distribution has the same kurtosis as normal distributionSolution: A.
As shown in the following figure, the median is smaller than the mean for the positive skew. In contrast, the median is larger than the mean for the negative skew.
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