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2010年5月FRM1级第四部分定价与风险模型模拟试题20100404强静共35题
2010 FRM Part1- Valuation and Risk
Models
Sample Exam
by DMC Qiang Jing FRM
1. A stock that is currently trading at $50 and can either move to $55 or $45 over
the next 6-month period. The continuously compounded risk-free rate is 2.25
percent. What is the risk-neutral probability of an up movement?
A 0.665
) 5.
B 0.656
) 5.
C 0.565
) 6.
D 0.556
) 6.
2. A stock currently trades at $50. At the end of three months, the stock will either
be $55 or $45. The continuously compounded risk-free rate of interest is 5 percent
per year. The value of a 3-month European call option with a strike price of $50 is
closest to:
A $2.78
) .
B $2.89
) .
C $2.55
) .
D $2.25
) .
3. A stock that currently trades at $40 can either move up or down by 5 percent
each year. The continuously compounded risk-free rate is 4 percent. An
over-the-counter European call option with 2 years until expiration is set up so that
the strike price is determined by the formula $40 + [(years to expiration + 1) × 0.5] in
periods when the stock price increases. In periods when the stock price declines,
the strike price is $40. What is the value of this 2-year specialized OTC call option?
A $3.12
1
) .
B $2.74
) .
C $3.27
) .
D $2.56
) .
4. The difference between a Monte Carlo simulation and a historical simulation is
that a historical simulation uses randomly selected variables from past distributions,
while a Monte Carlo simulation:
A uses randomly selected variables from future
) distributions.
B
uses variabl
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