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Does an OTM Option Have Any Value at All?

Yes, an Out-of-The-Money (OTM) option can still have value, known as extrinsic value or time value. This value exists because there is still time for the underlying asset's price to move favorably and make the option ITM before expiration.

Can an Option Have Extrinsic Value but Zero Intrinsic Value?
Is It Possible for a Short-Term OTM Option to Have a Higher Absolute Theta than a Long-Term ITM Option?
Why Are Out-of-the-Money Options Often Cheaper to Buy?
How Does an Option’s Moneyness Affect Its Premium?