Pass the PRMIA PRM Certification 8007 Questions and answers with CertsForce

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Questions # 11:

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


Expert Solution
Questions # 12:

Which of the following statements concerning class intervals used for grouping of data is correct?

When grouping data, attention must be paid to the following with regards to class intervals:

1. Class intervals should not overlap

2. Class intervals should be of equal size unless there is a specific need to highlight data within a specific subgroup

3. The class intervals should be large enough so that they not obscure interesting variation within the group

Options:

A.

Statements 2 and 3 are correct


B.

Statements 1 and 2 are correct


C.

All three statements are correct


D.

Statements 1 and 3 are correct


Expert Solution
Questions # 13:

Bond convexity is closely related to …

Options:

A.

The derivative of the bond's present value with respect to yield


B.

The second derivative of the bond's present value with respect to yield


C.

The integral of the bond's present value with respect to yield


D.

The sensitivity of the bond's present value with respect to yield


Expert Solution
Questions # 14:

Consider an investment fund with the following annual return rates over 8 years: +6%, -6%, +12%, -12%, +3%, -3%, +9%, -9% .

What can you say about the annual geometric and arithmetic mean returns of this investment fund?

Options:

A.

The arithmetic mean return is zero and the geometric mean return is negative


B.

The arithmetic mean return is negative and the geometric mean return is zero


C.

The arithmetic mean return is equal to the geometric mean return


D.

None of the above


Expert Solution
Questions # 15:

The determinant of a matrix X is equal 2. Which of the following statements is true?

Options:

A.

det(2X) =


B.

det(2X) = 2 det(X)


C.

det(2X) = det(X)2


D.

det(2X) = 4 det(X)


Expert Solution
Questions # 16:

If A and B are two events with P(A) = 1/4, P(B) = 1/3 and P(A intersection B) =1/5, what is P(Bc | Ac) i.e. the probability of the complement of B when the complement of A is given?

Options:

A.

12/29


B.

37/45


C.

3/4


D.

None of these


Expert Solution
Questions # 17:

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?

Options:

A.

11.82


B.

12.33


C.

12.49


D.

12.78


Expert Solution
Questions # 18:

A biased coin has a probability of getting heads equal to 0.3. If the coin is tossed 4 times, what is the probability of getting heads at least two times?

Options:

A.

0.7367


B.

0.3483


C.

0.2646


D.

None of these


Expert Solution
Questions # 19:

In a multiple linear regression, the significance of R2 can be tested using which distribution?

Options:

A.

Normal distribution


B.

Student's t distribution


C.

F-distribution


D.

Binomial distribution


Expert Solution
Questions # 20:

You are to perform a simple linear regression using the dependent variable Y and the independent variable X (Y = a + bX). Suppose that cov(X,Y)=10, var(X)= 5, and that the mean of X is 1 and the mean of Y is 2. What are the values for the regression parameters a and b?

Options:

A.

b=0.5, a=2.5


B.

b=0.5, a=1.5


C.

b=2, a=4


D.

b=2, a=0


Expert Solution
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