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CFA Level I · CFA Level I Exam · Forward Commitment and Contingent Claim Features and Instruments

Which of the following best describes the maximum loss and maximum gain for the buyer of a European put option on a non-dividend-paying share with exercise price X and premium p?

The put buyer's maximum loss is the premium p, and the maximum gain is X minus p, reached if the underlying falls to zero. The gain is capped because an asset price cannot go below zero, unlike a long call, which has unlimited upside.

  1. AMaximum loss is p; maximum gain is X - pCorrect
  2. BMaximum loss is p; maximum gain is unlimited
  3. CMaximum loss is X - p; maximum gain is p

Explanation

The put buyer can lose only the premium p. The best case is the underlying falling to zero, giving payoff X and profit X - p. Gain is limited, not unlimited, because price cannot fall below zero.

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