What Is the Mathematical Relationship between Premium, Intrinsic Value, and Time Value?

The relationship is an additive one: Option Premium = Intrinsic Value + Time Value (or Extrinsic Value). The premium is the total price paid for the option.

The intrinsic value is the immediate profit, and the time value is the remaining portion that accounts for the probability of future profit and time remaining. This equation holds true for all options, regardless of their moneyness.

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