Question 1

A senior analyst at a financial institution is giving a presentation to a group of junior analysts on the features of the power law and its uses. The senior analyst notes that the power law is particularly important in understanding the tails of distributions. Which of the following is correct regarding the power law?

Options :

A : The power law specifies the probability of observing a value greater than a given value.

B : Power law tails are only observed in normal distributions.

C : The power law models the slow decline in the probability of observing large values in thin-tailed distributions.

D : Power law tails are not present in the Student’s t distribution.

Answer: A

Question 2

An operational risk manager is presenting to a group of risk analysts about different techniques to model operational risk. An analyst asks the manager about the appropriate use of the power law in estimating operational losses. Which of the following would be a correct statement for the manager to make about the use of the power law?

Options :

A : It is suitable for modeling the tail of the operational loss distribution, but not for modeling the body of the distribution.

B : It implies that operational losses tend to follow a normal distribution.

C : It is more effective in modeling some types of operational risk, such as losses from fraud, than others, such as losses from natural disasters.

D : It is generally used to estimate routine operational losses which occur at a relatively high frequency.

Answer: A

Question 3

Suppose a bond with a par value of 1000 has coupon payments of 10% per annum and a yield to maturity of5%. If the bond has 4 years to maturity, what is the price of the bond?

Options :

A : 904.97

B : 841.51

C : 3628.22

D : 1177.3

Answer: D

Question 4

An analyst is estimating whether a fund's excess return for a quarter is related to interest rates and last quarter's excess return. The regression equation is found to have unconditional heteroskedasticity and serial correlation. Which of the following is most accurate? Parameter estimates will be:

Options :

A : accurate and statistical inference about the parameters will be valid.

B : inaccurate but statistical inference about the parameters will be valid.

C : inaccurate and statistical inference about the parameters will not be valid.

D : accurate but statistical inference about the parameters will not be valid.

Answer: C

Question 5

A market risk analyst at a regional bank is calculating the annual VaR of portfolio of investment securities. The portfolio has a current market value of USD 3,700,000 with a daily variance of 0.0004. Assuming there are 250 trading days in a year and the daily portfolio returns are independent and follow the same normal distribution with a mean of zero, what is the estimate of the 1-year VaR at the 95% confidence level?

Options :

A : USD 1,924,720

B : USD 2,721,519

C : USD 38,494

D : USD 121,730

Answer: A

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