Pass the PRMIA PRM Certification 8002 Questions and answers with CertsForce

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Questions # 21:

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 # 22:

Consider a binomial lattice where a security price S moves up by a factor u with probability p, or down by a factor d with probability 1 - p. If we set d > 1/u then which of the following will be TRUE?

Options:

A.

The lattice will not recombine


B.

The probability of an up move will not be constant


C.

There will always be a downward drift in the lattice


D.

None of the above


Expert Solution
Questions # 23:

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:

Options:

A.

0.40729


B.

0.00109


C.

0.00087


D.

0.32583


Expert Solution
Questions # 24:

A 2-step binomial tree is used to value an American put option with strike 105, given that the underlying price is currently 100. At each step the underlying price can move up by 10 or down by 10 and the risk-neutral probability of an up move is 0.6. There are no dividends paid on the underlying and the continuously compounded risk free interest rate over each time step is 1%. What is the value of the option in this model?

Options:

A.

7.12


B.

6.59


C.

7.44


D.

7.29


Expert Solution
Questions # 25:

What is the maximum value for f(x)= 8-(x+3)(x-3)?

Options:

A.

8


B.

-1


C.

17


D.

None of these


Expert Solution
Questions # 26:

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

Options:

A.

90 degrees


B.

180 degrees


C.

57 degrees


D.

45 degrees


Expert Solution
Questions # 27:

A typical leptokurtotic distribution can be described as a distribution that is relative to a normal distribution

Options:

A.

peaked and thin at the center and with heavy (fat) tails


B.

peaked and thin at the center and with thin tails


C.

flat and thick at the center and with heavy (fat) tails


D.

flat and thick at the center and with thin tails


Expert Solution
Questions # 28:

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 # 29:

What is the 40th term in the following series: 4, 14, 30, 52, …?

Options:

A.

240


B.

4598


C.

4840


D.

4960


Expert Solution
Questions # 30:

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

Options:

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


Expert Solution
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