Derivatives - Derivatives Section 2

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56. Analyst 1: The combination of a long asset, long put, and short the call will result in a risk-free position.
Analyst 2: The combination of a long call, long put, and the short asset will result in a risk-free position.
Which analyst’s statement is most likely correct?

  • Option : A
  • Explanation : Put-call parity is given by: long stock + long put = long call + risk-free zero coupon bond. Hence a risk-free zero coupon bond (a risk-free position) can be created as follows: long stock + long put + short call.
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57. Which of the following transactions is the equivalent of a synthetic long put position?

  • Option : C
  • Explanation : Put-call parity is given by: long stock + long put = long call + long bond. Hence a synthetic put can be created as follows: long call + long bond – short stock.
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58. According to put-call-forward parity, which of the following relationships hold?

  • Option : A
  • Explanation : According to put-call-forward parity, the put price plus the value of a riskfree bond with face value equal to the forward price equals the call price plus the value of a risk-free bond with face value equal to the exercise price.
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59. In a binomial model, the volatility of the underlying is directly represented by the:

  • Option : B
  • Explanation : The up and down factors express how high and how low the underlying can go. Standard deviation does not appear directly in the binomial model, although it is implicit.
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60. Which of the following statements is most accurate? In a binomial model:

  • Option : C
  • Explanation : The actual probabilities of the up and down moves are irrelevant to pricing options.
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