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Pass the PRMIA PRM Certification 8007 Questions and answers with ExamsMirror

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Questions # 11:

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

Options:

A.

x -1

B.

x

C.

ln(x)

D.

-x

Questions # 12:

Solve the simultaneous linear equations: x + 2y - 2 = 0 and y - 3x = 8

Options:

A.

x = 1, y = 0.5

B.

x = -2, y = 2

C.

x = 2, y = 0

D.

None of the above

Questions # 13:

Which of the following is consistent with the definition of a Type I error?

Options:

A.

The probability of a Type I error is 100% minus the significance level

B.

A Type I error would have occurred if the performance of a stock was positively correlated with the performance of a hedge fund, but in a linear regression, the hypothesis of positive correlation was rejected

C.

A Type I error would have occurred if the performance of a stock was positively correlated with the performance of a hedge fund, but in a linear regression, the hypothesis of no correlation was rejected

D.

A Type I occurs whenever data series are serially correlated

Questions # 14:

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

Options:

A.

16%

B.

17.4%

C.

20%

D.

24.4%

Questions # 15:

An underlying asset price is at 100, its annual volatility is 25% and the risk free interest rate is 5%. A European put option has a strike of 105 and a maturity of 90 days. Its Black-Scholes price is 7.11. The options sensitivities are: delta = -0.59; gamma = 0.03; vega = 19.29. Find the delta-gamma approximation to the new option price when the underlying asset price changes to 105

Options:

A.

6.49

B.

5.03

C.

4.59

D.

4.54

Questions # 16:

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

Options:

A.

0.5

B.

0

C.

1

D.

2

Questions # 17:

Let a, b and c be real numbers. Which of the following statements is true?

Options:

A.

The commutativity of multiplication is defined by

B.

The existence of negatives is defined by

C.

The distributivity of multiplication is defined by

D.

The associativity of multiplication is defined by

Questions # 18:

Which of the following statements about skewness of an empirical probability distribution are correct?

1. When sampling returns from a time series of asset prices, discretely compounded returns exhibit higher skewness than continuously compounded returns

2. When the mean is significantly less than the median, this is an indication of negative skewness

3. Skewness is a sign of asymmetry in the dispersion of the data

Options:

A.

All three statements are correct

B.

Statements 1 and 2 are correct

C.

Statements 1 and 3 are correct

D.

Statements 2 and 3 are correct

Questions # 19:

Consider the linear regression model for the returns of stock A and the returns of stock B. Stock A is 50% more volatile than stock B. Which of the following statements is TRUE?

Options:

A.

The stocks must be positively correlated ( )

B.

Beta must be positive ( )

C.

Beta must be greater in absolute value than the correlation of the stocks ( )

D.

Alpha must be positive ( )

Questions # 20:

The sum of the infinite series 1+1/2+1/3+1/4+1/5+.... equals:

Options:

A.

12

B.

Infinity

C.

128

D.

20

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