MCQs i mess up once studying is finished Flashcards
Which of the following return calculating methods is best for evaluating the annualized returns of a buy-and-hold strategy of an investor who has made annual deposits to an account for each of the last five years?
A
Geometric mean return.
B
Arithmetic mean return.
C
Money-weighted return.
A
Geometric mean return.
The geometric mean return compounds the returns instead of the amount invested.
For a risky asset with volatile historical returns, which of the following measures of mean return will be most likely be highest?
A
Harmonic mean
B
Arithmetic mean
C
Geometric mean
B
Arithmetic mean
As long as the returns aren’t the same every year, the arithmetic mean always produces higher averages than the geometric mean. Analysts should be aware of this bias and identify whether returns are quoted on a geometric or arithmetic average.
The nominal risk-free rate is best described as the sum of the real risk-free rate and a premium for:
A
maturity.
B
liquidity.
C
expected inflation.
C
expected inflation.
Which of the following methods is the least likely recommended approach when dealing with outliers?
A
Do nothing and use the data without any adjustment.
B
Substitute the median for extreme values to stabilize the distribution.
C
Set a pair of boundaries and remove all observations that fall outside the boundaries.
B
Substitute the median for extreme values to stabilize the distribution.
There are three ways to deal with outliers:
No adjustments
Remove all outliers (trimmed mean)
Replace outliers with either an upper or lower limit (winsorized mean)
It is not appropriate to substitute the median for extreme values. This will create artificial stability that gives a misleading impression that the distribution is less volatile than it actually is.
The return metric that most accurately evaluates the performance of a portfolio manager who does not exercise control over the timing of new contributions and withdrawals is the:
A
time-weighted return.
B
internal rate of return.
C
money-weighted return.
A
time-weighted return.
Time-weighted return, which is unaffected by the timing and amount of cash flows, is most appropriate for measuring the performance of a manager who does not control new contributions and withdrawals.
he average return for Portfolio A over the past twelve months is 3%, with a standard deviation of 4%. The average return for Portfolio B over this same period is also 3%, but with a standard deviation of 6%. The geometric mean return of Portfolio A is 2.85%. The geometric mean return of Portfolio B is most likely:
A
less than 2.85%.
B
equal to 2.85%.
C
greater than 2.85%.
A
less than 2.85%.
Which of the following statements is most accurate? Compared to analytical methods, Monte Carlo simulation:
A
provides more precision when valuing options.
B
provides more insight into causal relationships.
C
can be used to value a wider variety of options than analytical methods.
C
can be used to value a wider variety of options than analytical methods.
The Black-Scholes-Merton option pricing model is most likely based on the assumption that the prices of underlying assets are:
A
t-distributed.
B
Chi-square distributed.
C
lognormally distributed.
C
lognormally distributed.
Analysts performing bootstrap:
A
seek to create statistical inferences of population parameters from a single sample.
B
repeatedly draw samples of the same size, with replacement, from the original population.
C
must specify probability distributions for key risk factors that drive the underlying random variables.
Bootstrapping through random sampling generates the observed variable from a random sampling with unknown population parameters. The analyst does not know the true population distribution, but through sampling can infer the population parameters from the randomly generated sample.
B is incorrect because, when performing bootstrap, the analyst repeatedly draws samples from the original sample and not population, where each individual resample has the same size as the original sample and each item drawn is replaced for the next draw.
An analyst takes a sample of an equity index’s monthly returns over a five-year period and determines that the the natural logarithm of this random variable follows a normal distribution. Based only on this information, it is most likely that:
A
the index’s monthly return data is normally distributed.
B
the index’s monthly return data is lognormally distributed.
C
there is not sufficient evidence to reach a conclusion about the distribution of the index’s monthly return data.
B
the index’s monthly return data is lognormally distributed.
If a random variable is lognormally distributed, it follows that its natural logarithm is normally distributed. It is also true that, if a random variable’s natural logarithm is normally distributed, the variable itself must be lognormally distributed.
Which of the following methods is most appropriate to use when only some members of a finite population can be identified?
A
Systematic sampling
B
Simple random sampling
C
Stratified random sampling
A
Systematic sampling
Systematic sampling can be used when not all members of a population can be coded or even identified to be placed in groups. It involves selecting every Kth member of a population until the desired size of the sample is reached.
Compared with bootstrap resampling, jackknife resampling:
A
is done with replacement.
B
usually requires that the number of repetitions is equal to the sample size.
C
produces dissimilar results for every run because resamples are randomly drawn.
B
usually requires that the number of repetitions is equal to the sample size.
For a sample of size n, jackknife resampling usually requires n repetitions. In contrast, with bootstrap resampling, we are left to determine how many repetitions are appropriate.
A researcher would like to gather a sample of fifty people. He divides the range of the people’s heights into ten intervals of equal length and randomly selects two people from each interval. This is most likely an example of:
A
cluster sampling.
A researcher would like to gather a sample of fifty people. He divides the range of the people’s heights into ten intervals of equal length and randomly selects two people from each interval. This is most likely an example of:
A
23%
cluster sampling.
B
70%
stratified sampling.
C
7%
systematic sampling.
C
systematic sampling.
B
stratified sampling.
The following table shows the significance level (a) and the p-value for two hypothesis tests.
Level of Significance p-Value
Test 1 0.02 0.05
Test 2 0.05 0.02
In which test should we most likely reject the null hypothesis?
A
Test 1 only
B
Test 2 only
C
Both Test 1 and Test 2
B
Test 2 only
The p-value is the smallest level of significance at which the null hypothesis can be rejected. If the p-value is less than the level of significance, the null is rejected.
In Test 1, the p-value exceeds the level of significance, whereas in Test 2, the p-value is less than the level of significance.
A sample is taken from a normally distributed population with known variance. The observations in this sample are sorted according to an ordinal scale. To test a hypothesis regarding the sample mean, an analyst would most likely use a:
A
t-test.
B
z-test.
C
nonparametric test.
C
nonparametric test.
When data is ranked, such as when it has been sorted according to an ordinal scale, the assumptions of parametric tests (e.g., z-test, t-test) do not hold and a nonparametric test should be used.
Parametric tests require a stronger measurement scale.
Which of the following statements is most likely an example of a null hypothesis for a one-sided test?
A
The equity risk premium is equal to 5.0%.
B
The equity risk premium is greater than 6.0%.
C
The equity risk premium is less than or equal to 7.0%.
C
The equity risk premium is less than or equal to 7.0%.
A hypothesis is a statement about a population parameter that can be tested with sample statistics. Hypothesis testing requires two mutually exclusive and collectively exhaustive statement — an alternative hypothesis that is the “hoped for” outcome and null hypothesis that must be accepted unless there is sufficient evidence to reject it.
If an analyst expects to observe that the equity risk premium is greater than 7.0%, this would be used as the alternative hypothesis and the corresponding null hypothesis would be that the equity risk premium is less than or equal 7.0%. Using a one-sided test, the test statistic will either be in the region of rejection region at the right tail or it will fall in the region to the left and it will be concluded that there is insufficient evidence to reject the null hypothesis.
A statement that the equity risk premium is greater than 6.0% is consistent with a one-sided test, but this would be the alternative hypothesis. A null hypothesis must include the point of equality. In this scenario, the null hypothesis would be that the equity risk premium is equal to or less than 6.0%.
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.
B
define the test’s rejection points.
The level of significance is used to establish the rejection points of the hypothesis test.
The power of a hypothesis test is most likely:
A
equivalent to the level of significance.
B
the probability of not making a Type II error.
C
unchanged by increasing a small sample size.
B
the probability of not making a Type II error.
The power of a hypothesis test is the probability of correctly rejecting the null when it is false. Failing to reject the null when it is false is a Type II error
The probability of correctly rejecting the null hypothesis is most likely the:
A
p-value.
B
power of a test.
C
level of significance.
B
power of a test.
A machine learning model that has been underfit will most likely:
A
treat noise in a training dataset as true parameters.
B
fail to recognize true relationships in a training dataset.
C
identify relationships in a training dataset that are not found in the validation dataset.
B
fail to recognize true relationships in a training dataset.
underfit models are overly simplistic and can fail to identify true relationships that are present in a training dataset.
By contrast, a model is described as overfit when it treats noise in the training dataset as true parameters, but it is unable to find the same relationships in the validation dataset.
HTML code is most accurately classified as:
A
structured data.
B
unstructured data.
C
semistructured data.
C
semistructured data.
The critical value for the chi-square test of independence is most likely determined by the:
A
number of observations in the sample.
B
number of rows and columns in the contingency table.
C
magnitude of the squared deviations between expected and observed frequencies.
B
number of rows and columns in the contingency table.
The critical chi-square value used in a test of independence is determined two factors. The first is the desired region of rejection on the right side of the chi-square distribution. The second factor is the test statistic’s degrees of freedom
Which of the following statements is most accurate? For a financial system to be described as having complete markets, it:
A
may not be either informationally efficient and operationally efficient.
B
must be informationally efficient, operationally efficient, and allocationally efficient.
C
must be both informationally efficient and operationally efficient, but may not be allocationally efficient.
A
may not be either informationally efficient and operationally efficient.
A financial system is considered to have complete markets if the following conditions are met:
Investors can earn an appropriate risk-adjusted return in exchange for agreeing to move money from the present to the future
Creditworthy borrowers can easily obtain funds from lenders
Investors can reduce, trade, or eliminate risk by hedging
Currencies and commodities can be easily traded
If all of this can be done at a low cost, the financial system is said to be operationally efficient. If asset prices reflect all relevant available information, the financial system is said to be informationally efficient.
However, it is not necessary for a financial system to be either operationally or informationally efficient in order to be said to have complete markets.
The Standard & Poor’s Depositary Receipts (SPDRs) is an investment that tracks the S&P 500 stock market index. Purchases and sales of SPDRs during an average trading day are best described as:
A
primary market transactions in a pooled investment.
B
secondary market transactions in a pooled investment.
C
secondary market transactions in an actively managed investment.
B
secondary market transactions in a pooled investment.