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Option pricing terminology and Greeks

Understand option premium, moneyness, intrinsic versus time value, and the Greek sensitivities that explain how option prices change.

Option pricing terminology and Greeks appears in the official CIRO Derivatives Exam syllabus as part of Derivative pricing. Questions here usually test whether you understand what part of the premium is already earned, what part is still optionality, and which sensitivity explains the next price change.

Premium Is Not One Number With One Meaning

An option premium contains both current value and remaining possibility. That is why the exam separates intrinsic value from time value. Intrinsic value tells you what the option is worth if exercised immediately. Time value tells you what the market is still willing to pay for uncertainty before expiry.

For calls and puts:

$$ \text{Call intrinsic value} = \max(0, S - K) $$

$$ \text{Put intrinsic value} = \max(0, K - S) $$

$$ \text{Time value} = \text{Premium} - \text{Intrinsic value} $$

If the option is far out of the money, intrinsic value may be zero and the entire premium is time value. If expiry is near, time value often shrinks quickly, especially when the option is not moving decisively in the money.

Greeks Translate Price Drivers Into Sensitivities

The Greeks are best understood as exposure labels:

GreekWhat it measuresPractical reading
DeltaSensitivity to a small move in the underlyingHow directional the option is right now
GammaChange in delta as the underlying movesHow quickly directional exposure can change
ThetaSensitivity to time passingHow much value decay hurts if nothing else changes
VegaSensitivity to implied volatilityHow much the premium reacts when expected volatility changes
RhoSensitivity to interest ratesUsually a smaller driver, but still part of the pricing map

The exam often rewards the answer that chooses the dominant Greek instead of trying to say all Greeks matter equally. For example, a question about time decay should point you toward theta. A question about the effect of a volatility shock should point you toward vega.

Moneyness Changes The Story

Candidates also need to connect moneyness to option behaviour. Near-the-money options often carry the greatest time value because small price moves can materially change exercise value. Deep in-the-money options behave more like the underlying. Deep out-of-the-money options may be cheap, but they also need a larger move to matter.

Learning Objectives

  • Understand option pricing terminology, including premium, strike price, intrinsic value, and time value.
  • Differentiate at-the-money, in-the-money, and out-of-the-money options.
  • Recognize how time to expiry affects an option’s time value.
  • Understand the concept of delta and its application.
  • Understand the concept of gamma and its application.
  • Understand the concept of theta and its application.
  • Understand the concepts of vega and rho and their application.

Exam Angle

The stronger answer usually identifies whether the question is about current exercise value, remaining optionality, or price sensitivity. Once that is clear, the right Greek or premium component is normally much easier to identify.

Key Takeaways

  • Premium splits into intrinsic value and time value, and the exam expects you to know which part is doing the work.
  • The Greeks are sensitivity labels, not definitions to memorize in isolation.
  • Moneyness and time to expiry change which pricing driver matters most.
Revised on Thursday, April 23, 2026