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PRM Certification - Exam II: Mathematical Foundations of Risk Measurement

Last Update Nov 21, 2024
Total Questions : 132

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PRM Certification - Exam II: Mathematical Foundations of Risk Measurement Questions and Answers

Questions 1

Which of the following statements is true?

Options:

A.

Discrete and continuous compounding produce the same results if the discount rate is positive.

B.

Continuous compounding is the better method because it results in higher present values compared to discrete compounding.

C.

Continuous compounding can be thought as making the compounding period infinitesimally small.

D.

The constant plays an important role in the mathematical description of continuous compounding.

Questions 2

What is the sum of the first 20 terms of this sequence: 3, 5, 9, 17, 33, 65,…?

Options:

A.

1 048 574

B.

1 048 595

C.

2 097 170

D.

2 097 172

Questions 3

You want to test the hypothesis that a population parameter β of a regression model is zero. Your alternative hypothesis is that β≠0. Denote by SD(β) the estimated standard deviation of β, and by MEAN(β) the estimated mean of β. Which test statistic is appropriate, and what is its distribution?

Options:

A.

test statistic = SD(β)/MEAN(β), normal distribution

B.

test statistic = MEAN(β)/SD(β), normal distribution

C.

test statistic = SD(β)/MEAN(β), t distribution

D.

test statistic = MEAN(β)/SD(β), t distribution