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How Does a Longer Time to Expiration Increase the Chance of an OTM Option Expiring ITM?

A longer time to expiration increases the chance of an OTM option expiring ITM because there is more time for the underlying asset's price to move favorably and significantly past the strike price. This greater probability is reflected in the higher time value of longer-dated options.

How Does a Longer Time to Expiration Affect the Initial Time Value?
How Does a Longer Time to Expiration Increase an Option’s Premium?
How Does the Time Remaining until Expiration Affect the Option’s Time Value?
How Does a Longer Time to Expiration Affect the Premium of an Option?