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最新的 PRM 8007 免費考試真題:

1. The natural logarithm of x is:

A) log(e)
B) the inverse function of exp(x)
C) always greater than x, for x>0
D) 46

2. An asset price S is lognormally distributed if:

A) ln(1+dS/S) is normally distributed
B) ln(dS/S) is normally distributed
C) 1/S is normally distributed
D) the change in price (dS) is normally distributed

3. Evaluate the derivative of ln(1+ x2) at the point x = 1

A) 2
B) 0
C) 1
D) 0.5

4. You work for a brokerage firm that charges its client x per share. The volume of trade of a client of type A depends on the per share commission in the following manner. If the commission is x, the client of type A will trade e-ax shares on average each week. What is the optimal commission x that maximizes the income from client A, noting that a is greater than zero?

A) a2
B) 1
C) 42
D) a

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) 12.33
B) 12.78
C) 12.49
D) 11.82

問題與答案：