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FRM Part I · FRM Exam Part I · Trading Strategies

An investor holds a stock bought at $100 and writes a 1-year call with strike $110 for $6, and buys a put with strike $95 for $4 (a collar). Ignoring financing and dividends, what are the maximum profit and maximum loss per share at expiry?

Maximum profit is $12 and maximum loss is $3 per share. The collar nets a $2 premium received. Upside is capped at the $110 strike, a $10 gain plus $2; downside is floored at the $95 strike, a $5 loss offset by $2.

  1. AMaximum profit $12; maximum loss $3Correct
  2. BMaximum profit $10; maximum loss $5
  3. CMaximum profit $16; maximum loss $5
  4. DMaximum profit $12; maximum loss $7

Explanation

Net premium received is 6-4=2. Maximum profit: (110-100)+2=12. Maximum loss: (100-95)-2=3 when the price is at or below 95. $10/$5 ignores the net premium; $16 wrongly adds the call premium only.

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