easy · Quantitative Finance

A lookback call option with a floating strike allows the holder to buy at the minimum price achieved during the option's life.

Why is this exotic option significantly more expensive than a standard vanilla call?

  1. It settles all payouts in the domestic currency at a pre-agreed fixed exchange rate
  2. It removes timing risk by effectively exercising at the absolute best price in hindsight
  3. It is structurally guaranteed to be in-the-money throughout the entire life of the contract
  4. It carries materially higher gamma exposure than a comparable vanilla call at every point

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