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FRM Part I · FRM Exam Part I · Trading Strategies

A trader buys a 6-month put with strike $45 for $5 and sells a 6-month put with strike $35 for $2 on the same stock. Ignoring discounting, what is the breakeven stock price at expiration?

The breakeven price is $42. The bear put spread costs a net $3, and between the strikes its payoff equals $45 minus the stock price. Setting 45 minus S equal to 3 gives S of $42.

  1. A$38
  2. B$40Correct
  3. C$42
  4. D$43

Explanation

This is a bear put spread with net cost 5 - 2 = $3. The payoff at a price S between 35 and 45 is 45 - S. Breakeven requires 45 - S = 3, so S = $42. Checking: payoff 3 equals cost 3. Wait, recompute: S = 42.

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