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PRM Certification - Exam II: Mathematical Foundations of Risk Measurement

Last Update 11 hours ago Total Questions : 132

The PRM Certification - Exam II: Mathematical Foundations of Risk Measurement content is now fully updated, with all current exam questions added 11 hours ago. Deciding to include 8002 practice exam questions in your study plan goes far beyond basic test preparation.

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Question # 21

Which of the following statements is true?

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.

Question # 22

Consider two securities X and Y with the following 5 annual returns:

X: +10%, +3%, -2%, +3%, +5%

Y: +7%, -2%, +3%, -5%, +10%

In this case the sample covariance between the two time series can be calculated as:

A.

0.40729

B.

0.00109

C.

0.00087

D.

0.32583

Question # 23

Which of the provided answers solves this system of equations?

2y – 3x = 3y +x

y2 + x2 = 68

A.

x = 1; y = square root of 67

B.

x = 2; y = 8

C.

x = 2; y = -8

D.

x = -2; y = -8

Question # 24

What is the angle between the following two three dimensional vectors: a=(1,2,3), b=(-4,2,0)?

A.

90 degrees

B.

180 degrees

C.

57 degrees

D.

45 degrees

Question # 25

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

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

Question # 26

A 2-year bond has a yield of 5% and an annual coupon of 5%. What is the Macaulay Duration of the bond?

A.

2

B.

1.95

C.

1.86

D.

1.75

Question # 27

Let A be a square matrix and denote its determinant by x. Then the determinant of A transposed is:

A.

x -1

B.

x

C.

ln(x)

D.

-x

Question # 28

For the function f(x) =3x-x3 which of the following is true?

A.

x = 0 is a minimum

B.

x = -3 is a maximum

C.

x = 2 is a maximum

D.

None of these

Question # 29

You intend to invest $100 000 for five years. Four different interest payment options are available. Choose the interest option that yields the highest return over the five year period.

A.

a lump-sum payment of $22 500 on maturity (in five years)

B.

an annually compounded rate of 4.15%

C.

a quarterly-compounded rate of 4.1%

D.

a continuously-compounded rate of 4%

Question # 30

What is the simplest form of this expression: log2(165/2)

A.

10

B.

32

C.

5/2 + log2(16)

D.

log2 (5/2) + log2(16)

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