FINRA Series 7Investment Information and Suitable RecommendationsMedium

An investor sells 1 uncovered XYZ 50 put for a premium of $4 when the stock is trading at $52. If XYZ stock falls to $0, what is the investor's maximum potential loss on this position?

  1. A$400
  2. B$5,000
  3. CUnlimited
  4. D$4,600
Show answer & explanation

Correct answer: D. $4,600

The maximum loss on a short put occurs if the stock goes to zero, forcing the seller to buy the stock at the strike price. Loss = (strike price − premium received) × 100 = ($50 − $4) × 100 = $4,600.

Why the other options are wrong

  • A. This equals just the premium received, which is the maximum gain, not loss.
  • B. This ignores the premium received, which offsets some of the loss.
  • C. Short puts have a finite maximum loss since the stock cannot go below zero.

Short Put Maximum Loss

The maximum loss on a short (uncovered) put is limited to the strike price minus the premium received, multiplied by 100, occurring if the stock falls to zero.

  • Max loss = (strike − premium) × 100
  • Max gain = premium received
  • Breakeven = strike − premium

Memory trick: 'Selling a put means catching a falling knife down to zero.'

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