Pass the PRMIA PRM Certification 8007 Questions and answers with CertsForce

Viewing page 1 out of 4 pages
Viewing questions 1-10 out of questions
Questions # 1:

Let X be a random variable distributed normally with mean 0 and standard deviation 1. What is the expected value of exp(X)?

Options:

A.

E(exp(X)) = 1.6487


B.

E(exp(X)) = 1


C.

E(exp(X)) = 2.7183


D.

E(exp(X)) = 0.6065


Expert Solution
Questions # 2:

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

Options:

A.

10


B.

32


C.

5/2 + log2(16)


D.

log2 (5/2) + log2(16)


Expert Solution
Questions # 3:

Which of the following is not a direct cause of autocorrelation or heteroskedasticity in the residuals of a regression model?

Options:

A.

A structural break in the dependent variable


B.

A high positive correlation between two explanatory variables


C.

The omission of a relevant explanatory variable


D.

Using an inappropriate functional form in the model


Expert Solution
Questions # 4:

If the annual volatility of returns is 25% what is the variance of the quarterly returns?

Options:

A.

0.1250


B.

0.0156


C.

0.0625


D.

None of the above


Expert Solution
Questions # 5:

Calculate the determinant of the following matrix:

Options:

A.

4.25


B.

-4.25


C.

4


D.

2


Expert Solution
Questions # 6:

The natural logarithm of x is:

Options:

A.

the inverse function of exp(x)


B.

log(e)


C.

always greater than x, for x>0


D.

46


Expert Solution
Questions # 7:

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


Expert Solution
Questions # 8:

There are two portfolios with no overlapping of stocks or bonds. Portfolio 1 has 6 stocks and 6 bonds. Portfolio 2 has 4 stocks and 8 bonds. If we randomly select one stock, what is the probability that it came from Portfolio1?

Options:

A.

0.3


B.

0.5


C.

0.6


D.

None of these


Expert Solution
Questions # 9:

Evaluate the derivative of exp(x2 + 2x + 1) at the point x = -1

Options:

A.

0.5


B.

0


C.

1


D.

2


Expert Solution
Questions # 10:

In a 2-step binomial tree, at each step the underlying price can move up by a factor of u = 1.1 or down by a factor of d = 1/u. The continuously compounded risk free interest rate over each time step is 1% and there are no dividends paid on the underlying. Use the Cox, Ross, Rubinstein parameterization to find the risk neutral probability and hence find the value of a European put option with strike 102, given that the underlying price is currently 100.

Options:

A.

5.19


B.

5.66


C.

6.31


D.

4.18


Expert Solution
Viewing page 1 out of 4 pages
Viewing questions 1-10 out of questions