CFA Level II ExamDerivativesMedium

A speculator is evaluating a long strangle strategy. The current stock price is $100. The speculator buys a 3-month call option with a strike price of $110 for a premium of $3.00 and simultaneously buys a 3-month put option with a strike price of $90 for a premium of $2.50. Ignoring transaction costs, what is the breakeven point on the upside for this strategy?

  1. A$115.50
  2. B$94.50
  3. C$118.00
  4. D$105.50
Show answer & explanation

Correct answer: A. $115.50

A long strangle involves buying an out-of-the-money call and an out-of-the-money put with the same expiration date. The upside breakeven point is calculated as the Call Strike Price + Total Premiums Paid. Total Premiums = $3.00 (call) + $2.50 (put) = $5.50. Upside Breakeven = $110 (Call Strike) + $5.50 = $115.50.

Why the other options are wrong

  • B. Incorrect; this is the downside breakeven point ($90 - $5.50 = $84.50), but the option uses $94.50, which is incorrect for downside breakeven.
  • C. Incorrect; calculation error, possibly adding only the call premium to the call strike or another miscalculation.
  • D. Incorrect; this might be a miscalculation involving the current stock price or an incorrect premium sum.

Long Strangle Breakeven (Upside)

The upside breakeven point for a long strangle strategy is the strike price of the call option plus the total premiums paid for both the call and put options.

  • A long strangle involves buying an out-of-the-money call and an out-of-the-money put.
  • It profits from a large price movement in either direction.
  • Total premiums paid reduce potential profit and define breakeven points.

Memory trick: Strangle's Break: Call Strike + Total Premium for UP, Put Strike - Total Premium for DOWN!

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