FRM考試提醒變化較大,建議考生先做一下真題。了解一下考題深度。
  1. A security sells for $40. A 3-month call with a strike of $42 has a premium of $2.49. The risk-free rate is 3 percent. What is the value of the put according to put-call parity?
  A.      $1.89.
  B.       $4.18.
  C.       $3.45.
  D.      $6.03.
  2. Which of the following statements regarding the Black-Scholes-Merton option-pricing model is TRUE?
  A.      As the number of periods in the binomial options-pricing model is increased toward infinity, it converges to the Black-Scholes-Merton option-pricing model.
  B.       The Black-Scholes-Merton option-pricing model is the discrete time equivalent of the binomial option-pricing model.
  C.       The Black-Scholes-Merton model is superior to the binomial option-pricing model in its ability to price options on assets with periodic cash flows.
  D.      As the periods in the binomial option-pricing model are lengthened, it converges to the Black-Scholes-Merton option-pricing model.
  3. If we use four of the inputs into the Black-Scholes-Merton option-pricing model and solve for the asset price volatility that will make the model price equal to the market price of the option, we have found the:
  A.      implied volatility.
  B.       historical volatility.
  C.       market volatility.
  D.      option volatility.
  4. 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.      0.6655.
  B.       0.6565.
  C.       0.5566.
  D.      0.5656.
  5. Given the following ratings transition matrix, calculate the two-period cumulative probability of default for a B credit.
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  A.      2.0%
  B.       2.5%
  C.       4.0%
  D.      4.5%
  ANSWER
  1. Correct answer:B
  p = c + X – S = 2.49 + 42 e –0.03 × 0.25 – 40 = $4.18
  2. Correct answer: A
  As the option period is divided into more/shorter periods in the binomial option-pricing model, we approach the limiting case of continuous time and the binomial model results converge to those of the continuous-time Black-Scholes-Merton option pricing model.
  3. Correct answer:A
  The question describes the process for finding the expected volatility implied by the market price of the option.
  4. Correct answer:C:
  The risk-neutral probability, p, can be calculated as .  In this case, r = 0.0225, u = 1.1, d = 0.9, which makes p equal to [e[0.0225*(6/12)] - 0.9] / [1.1 - 0.9] = .5566
  5. Correct answer: d
  Scenario one: B can go into default the first year, with probability of 0.02.
  Scenario two: B could go to A then D, with probability of 0.03 × 0.00 = 0.
  Scenario three: B could go to B then D, with probability of 0.90 × 0.02 = 0.018.  Scenario four: B could go to C then D, with probability of 0.05 × 0.14 = 0.007.  The total is 0.045.