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Does Intrinsic Value Change with Time to Expiration?

No, the intrinsic value of an option is solely determined by the relationship between the underlying asset's current price and the option's strike price. It is an immediate value.

Time to expiration is a factor in calculating the time value (extrinsic value) of an option, but it does not directly affect the intrinsic value component.

Explain the Difference between a Designated Market Maker and an Independent Liquidity Provider
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How Does the Intrinsic Value of a Put Option Differ from a Call Option?
How Does a Change in Strike Price Affect the Option Premium?