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PRM Certification - Exam II: Mathematical Foundations of Risk Measurement

Last Update 2 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 2 hours ago. Deciding to include 8002 practice exam questions in your study plan goes far beyond basic test preparation.

You'll find that our 8002 exam questions frequently feature detailed scenarios and practical problem-solving exercises that directly mirror industry challenges. Engaging with these 8002 sample sets allows you to effectively manage your time and pace yourself, giving you the ability to finish any PRM Certification - Exam II: Mathematical Foundations of Risk Measurement practice test comfortably within the allotted time.

Question # 1

Let X be a random variable normally distributed with zero mean and let . Then the correlation between X and Y is:

A.

negative

B.

zero

C.

not defined

D.

positive

Question # 2

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 50%. The volatility of my portfolio is

A.

16%

B.

17.4%

C.

20%

D.

24.4%

Question # 3

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?

A.

11/16

B.

7/8

C.

9/16

D.

None of these

Question # 4

In a binomial tree lattice, at each step the underlying price can move up by a factor of u = 1.1 or down by a factor of . The continuously compounded risk free interest rate over each time step is 1% and there are no dividends paid on the underlying. The risk neutral probability for an up move is:

A.

0.5290

B.

0.5292

C.

0.5286

D.

0.5288

Question # 5

A 2-step binomial tree is used to value an American put option with strike 104, given that the underlying price is currently 100. At each step the underlying price can move up by 20% or down by 20% and the risk-neutral probability of an up move is 0.55. There are no dividends paid on the underlying and the discretely compounded risk free interest rate over each time step is 2%. What is the value of the option in this model?

A.

11.82

B.

12.33

C.

12.49

D.

12.78

Question # 6

A 95% confidence interval for a parameter estimate can be interpreted as follows:

A.

The probability that the real value of the parameter is within this interval is 95%.

B.

The probability that the real value of the parameter is outside this interval is 95%.

C.

The probability that the estimated value of the parameter is within this interval is 95%.

D.

The probability that the estimated value of the parameter is outside this interval is 95%.

Question # 7

In a portfolio there are 7 bonds: 2 AAA Corporate bonds, 2 AAA Agency bonds, 1 AA Corporate and 2 AA Agency bonds. By an unexplained characteristic the probability of any specific AAA bond outperforming the others is twice the probability of any specific AA bond outperforming the others. What is the probability that an AA bond or a Corporate bond outperforms all of the others?

A.

5/7

B.

8/11

C.

6/11

D.

None of these

Question # 8

When a number is written with a fraction as an exponent, such as , which of the following is the correct computation?

A.

Take the square-root of 75 and raise it to the 5th power

B.

Divide 75 by 2, then raise it to the 5th power

C.

Multiply 75 by 2.5

D.

Square 75, then take the fifth root of it

Question # 9

When the errors in a linear regression show signs of positive autocorrelation, which of the statements below is true?

A.

The regression coefficient will be too high and the standard error of the regression coefficient will be understated

B.

The regression coefficient will be too low and the standard error of the regression coefficient will be overstated

C.

The regression coefficient will be unbiased, but the standard error of the regression coefficient will be understated

D.

The regression coefficient will be unbiased, but the standard error of the regression coefficient will be overstated

Question # 10

Calculate the determinant of the following matrix:

A.

4.25

B.

-4.25

C.

4

D.

2

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