Lookback Options

Calculation

Lookback options, within cryptocurrency derivatives, represent a non-standard option type where the payoff is determined by the difference between the asset’s price at expiration and its maximum or minimum price observed during a specified lookback period. This contrasts with standard options, whose payoff is based solely on the price at expiration, introducing path dependency into the valuation. Accurate pricing necessitates complex stochastic calculus, often employing Monte Carlo simulation due to the lack of closed-form solutions, particularly for digital lookback options. The inherent complexity impacts liquidity, often resulting in wider bid-ask spreads compared to vanilla options.