American options 219Recall:“American” optionsgive the right to buy or sell the underlyingasset at any time on or before aprespecified future data (called theexpiration date);“early exercise”.This implies that we need at leasta 2-step binomial asset pricing modelto value the possibility of early exercise.Note: In a 1-step binomial assetpricing model American and Europeanoptions will have the same value.
Derivative securities: Options - Binomial asset pricing model