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Free PRMIA 8007 Practice Exam with Questions & Answers | Set: 4

Questions 31

Two vectors are orthogonal when:

Options:
A.

one is a scalar multiple of the other

B.

their components are linearly dependent

C.

their determinant is zero

D.

their scalar product (sum product) is zero

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Questions 32

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

Questions 33

If a random variable X has a normal distribution with mean zero and variance 4, approximately what proportion of realizations of X should lie between -4 and +4?

Options:
A.

66.60%

B.

90%

C.

95%

D.

99%

Questions 34

Consider a binomial lattice where a security price S moves up by a factor u with probability p, or down by a factor d with probability 1 - p. If we set d > 1/u then which of the following will be TRUE?

Options:
A.

The lattice will not recombine

B.

The probability of an up move will not be constant

C.

There will always be a downward drift in the lattice

D.

None of the above

Questions 35

Your stockbroker randomly recommends stocks to his clients from a tip sheet he is given each day. Today, his tip sheet has 3 common stocks and 5 preferred stocks from Asian companies and 3 common stocks and 5 preferred stocks from European companies. What is the probability that he will recommend a common stock AND/OR a European stock to you when you call and ask for one stock to buy today?

Options:
A.

11/16

B.

7/8

C.

9/16

D.

None of these

Questions 36

Evaluate the derivative of ln(1+ x2) at the point x = 1

Options:
A.

0.5

B.

0

C.

1

D.

2

Questions 37

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 38

What can be said about observations of random variables that are i.i.d. a normally distributed?

Options:
A.

The estimated mean divided by the estimated variance has a t-distribution

B.

The estimated mean divided by the estimated variance has a Chi2-distribution

C.

The estimated mean divided by the estimated standard deviation has a t-distribution

D.

The estimated mean divided by the estimated standard deviation has a Chi2-distribution

Questions 39

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%

Exam Code: 8007
Certification Provider: PRMIA
Exam Name: Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition
Last Update: Jul 15, 2025
Questions: 132

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