Abstract
The lookback option is a path-dependent option that enables holders to use the most advantageous pricing to execute the underlying asset. This paper adopts the BMS model to price the lookback option and takes risk factors into consideration to calculate the value of an option contract in the BMS model. The main variables in the BMS model are risk-free rate, current spot price, strike price, volatility, and time to maturity. The results are reliable enough for investors to make future decisions. However, the BMS model still has a few drawbacks which can make the prices derived from real future prices. When predicting future prices, using the BMS model can help investors make better decisions. The lookback option allows holders to minimize their regrets and exercise the underlying asset at the most beneficial price.
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