Investopedia explains 'Path Dependent Option'
A basic American option is one type of path dependent option. Because it can be exercised at any time prior to expiration, its value will change as the underlying asset's value changes. An Asian option, also called an average option, is another type of path dependent option, because its payoff is based on the average price of the underlying asset during the contract term. Similarly, a barrier option would be considered a path dependent option because its value changes if the underlying asset reaches or surpasses a specified price. The lookback option and Russian option are also path-dependent options.
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