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Get Certified: Proven Methods to Pass the PRMIA 8002 Exam

Questions 21

Identify the type and common element (that is, common ratio or common difference) of the following sequence: 6, 12, 24

Options:
A.

arithmetic sequence, common difference 2

B.

arithmetic sequence, common ratio 2

C.

geometric sequence, common ratio 2

D.

geometric sequence, common ratio 3

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Questions 22

Consider the following distribution data for a random variable X: What is the mean and variance of X?

Options:
A.

3.6 and 7.15

B.

3.4 and 3.84

C.

3.5 and 3.45

D.

None of these

Questions 23

Let a, b and c be real numbers. Which of the following statements is true?

Options:
A.

The commutativity of multiplication is defined by

B.

The existence of negatives is defined by

C.

The distributivity of multiplication is defined by

D.

The associativity of multiplication is defined by

Questions 24

What is the indefinite integral of the function f(x) = ln(x), where ln(x) denotes the natural logarithmic function?

Options:
A.

x ln(x) - x

B.

ln(x) - x

C.

1/x

D.

exp(x)

Questions 25

You invest $100 000 for 3 years at a continuously compounded rate of 3%. At the end of 3 years, you redeem the investment. Taxes of 22% are applied at the time of redemption. What is your approximate after-tax profit from the investment, rounded to $10?

Options:
A.

$9420

B.

$7350

C.

$7230

D.

$7100

Questions 26

Stress testing portfolios requires changing the asset volatilities and correlations to extreme values. Which of the following would lead to a non positive definite covariance matrix?

Options:
A.

Changing the volatilities to be greater than 100%

B.

Changing all the correlations to be unity

C.

Changing all the correlations to be zero

D.

All of the above

Questions 27

I have a portfolio of two stocks. The weights are 60% and 40% respectively, the volatilities are both 20%, while the correlation of returns is 100%. The volatility of my portfolio is

Options:
A.

4%

B.

14.4%

C.

20%

D.

24%

Questions 28

Exploring a regression model for values of the independent variable that have not been observed is most accurately described as…

Options:
A.

Estimation

B.

Regression

C.

Hypothesis testing

D.

Prediction

Questions 29

A linear regression gives the following output:

Figures in square brackets are estimated standard errors of the coefficient estimates. What is the value of the test statistic for the hypothesis that the coefficient of is zero against the alternative that is less than zero?

Options:
A.

0.125

B.

2.5

C.

-1.25

D.

-2.5

Questions 30

On average, one trade fails every 10 days. What is the probability that no trade will fail tomorrow?

Options:
A.

0.095

B.

0.905

C.

0.95

D.

0.100

Exam Code: 8002
Certification Provider: PRMIA
Exam Name: PRM Certification - Exam II: Mathematical Foundations of Risk Measurement
Last Update: Jan 24, 2025
Questions: 132
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