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8002 Premium Exam Questions

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Question 8

Which of the following statements are true about Maximum Likelihood Estimation?

(i) MLE can be applied even if the error terms are not i.i.d. normal.

(ii) MLE involves integrating a likelihood function or a log-likelihood function.

(iii) MLE yields parameter estimates that are consistent.

Options:

A.

(i) and (ii)

B.

(i) only

C.

(i) and (iii)

D.

(i), (ii), and (iii)

Question 9

Let N(.) denote the cumulative distribution function and suppose that X and Y are standard normally distributed and uncorrelated. Using the fact that N(1.96)=0.975, the probability that X ≤ 0 and Y ≤ 1.96 is approximately

Options:

A.

0.25%

B.

0.488%

C.

0.49%

D.

0.495%

Question 10

For each of the following functions, indicate whether its graph is concave or convex:

Y = 7x2 + 3x + 9

Y = 6 ln(3x)

Y = exp(-4x)

Options:

A.

concave, concave, concave

B.

concave, convex, convex

C.

convex, concave, concave

D.

convex, convex, concave

Question 11

If a time series has to be differenced twice in order to be transformed into a stationary series, the original series is said to be:

Options:

A.

non-linear

B.

integrated of order 2

C.

differential

D.

non-functional

Page: 2 / 4
Exam Code: 8002
Exam Name: PRM Certification - Exam II: Mathematical Foundations of Risk Measurement
Last Update: Dec 22, 2024
Questions: 132
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