Option Parameters

$
Current stock price
$
Option strike price
$
Option price per share
Calendar days remaining
%
Annualized implied volatility
%
Annualized risk-free rate
%
Annualized dividend yield

Formula Quick Reference

Intrinsic Value:

Call: max(0, Stock Price - Strike Price)

Put: max(0, Strike Price - Stock Price)

Extrinsic (Time) Value:

Extrinsic = Option Premium - Intrinsic Value

Key Concepts:

  • ITM = In the Money (has intrinsic value)
  • ATM = At the Money (strike ≈ stock price)
  • OTM = Out of the Money (no intrinsic value)
  • Theta = Time decay of extrinsic value

Value Breakdown

Premium is below intrinsic value — extrinsic value cannot be negative. Check your inputs.
Option Premium --
Intrinsic Value --
Extrinsic Value --
Intrinsic % --
Extrinsic % --
Moneyness --
Value Composition
Intrinsic Extrinsic (Time)

Formula Breakdown

Intrinsic = max(0, S - K)  |  Extrinsic = Premium - Intrinsic

Value Decomposition Across Stock Prices

Time Decay of Extrinsic Value

Ryan O'Connell, CFA
CALCULATOR BY
Ryan O'Connell, CFA
CFA Charterholder & Finance Educator

Finance professional building free tools for options pricing, valuation, and portfolio management.

Understanding Intrinsic & Extrinsic Value

Video Explanation

Video: Intrinsic vs Extrinsic Value Explained

What Is Intrinsic Value?

Intrinsic value is the amount an option is in the money (ITM). For a call option, intrinsic value equals the stock price minus the strike price (if positive). For a put option, it equals the strike price minus the stock price (if positive). Intrinsic value can never be negative — it is always zero or positive.

An option that is at the money (ATM) or out of the money (OTM) has zero intrinsic value. For example, a $110 strike call when the stock is at $100 has no intrinsic value — its entire premium is extrinsic.

What Is Extrinsic (Time) Value?

Extrinsic value (also called time value) is the portion of the option premium above intrinsic value. It represents what traders are willing to pay for the possibility that the option could become more profitable before expiration.

Extrinsic value is driven by four main factors: time to expiration (more time = more value), implied volatility (more uncertainty = more value), interest rates, and dividend yield. At expiration, extrinsic value is always zero.

How Moneyness Affects the Split

  • In the Money (ITM): Has both intrinsic and extrinsic value. Deeper ITM options have more intrinsic and less extrinsic value as a percentage of premium.
  • At the Money (ATM): Intrinsic value is near zero. Almost the entire premium is extrinsic value. ATM options have the highest extrinsic value in dollar terms.
  • Out of the Money (OTM): Zero intrinsic value. The entire premium is extrinsic value. These options are cheaper because they rely entirely on favorable stock movement.

Why Extrinsic Value Decays Over Time (Theta)

As expiration approaches, there is less time for the stock to move favorably, so the probability of the option gaining value decreases. This causes extrinsic value to erode — a process called theta decay or time decay.

Time decay is not linear: options lose roughly one-third of their time value in the first half of their life and two-thirds in the second half. This acceleration is visible in the Time Decay chart above (available in Black-Scholes mode).

Relationship to Other Greeks

  • Theta (Θ): Measures the daily loss in extrinsic value. A theta of -0.05 means the option loses about $0.05 per day from time decay.
  • Vega (ν): Measures sensitivity to implied volatility. Higher vega means extrinsic value changes more with IV shifts.
  • Delta (Δ): Approximates the probability of finishing ITM. Deep ITM options (high delta) have more intrinsic value; OTM options (low delta) are almost entirely extrinsic.
Model Assumptions: This calculator uses the Black-Scholes model, which assumes European-style options, constant implied volatility, continuous dividend yield, and a constant risk-free rate. These are standard simplifications for educational purposes.

Frequently Asked Questions

Intrinsic value is the amount an option is in the money (ITM). For a call option, it equals max(0, Stock Price - Strike Price). For a put option, it equals max(0, Strike Price - Stock Price). An option that is at the money (ATM) or out of the money (OTM) has zero intrinsic value. Intrinsic value can never be negative — it is always zero or positive.

Extrinsic value (also called time value) is the portion of an option's premium above its intrinsic value. It represents the additional amount traders are willing to pay for the possibility that the option could become more profitable before expiration. Extrinsic value is influenced by time to expiration, implied volatility, interest rates, and dividend yield. At expiration, extrinsic value is always zero.

Yes. Any option that is at the money (ATM) or out of the money (OTM) has zero intrinsic value. For example, a call option with a strike price of $110 when the stock is trading at $100 is OTM and has no intrinsic value. Its entire premium consists of extrinsic (time) value. OTM options are cheaper because they rely entirely on the stock moving favorably before expiration.

Extrinsic value decreases over time due to theta decay (time decay). As expiration approaches, there is less time for the stock to move favorably, reducing the probability of the option gaining additional value. This decay accelerates as expiration nears — it is not linear. Options lose roughly one-third of their time value in the first half of their life and two-thirds in the second half. At expiration, extrinsic value is always zero.

At expiration, extrinsic value is always zero. The option's entire value equals its intrinsic value: max(0, S - K) for calls or max(0, K - S) for puts. If the option is out of the money at expiration, both intrinsic and extrinsic value are zero and the option expires worthless. This is why options are called "wasting assets" — their time value erodes to zero by expiration.

Higher implied volatility (IV) increases extrinsic value because greater expected price movement means a higher probability of the option finishing profitably. When IV rises, option premiums increase even if the stock price and time to expiration remain unchanged. This is why options tend to be more expensive before earnings announcements or other events that increase uncertainty. Conversely, when IV drops (volatility crush), extrinsic value decreases rapidly.
Disclaimer

This calculator is for educational purposes only. Options trading involves significant risk of loss. Actual option prices may differ due to market conditions, bid-ask spreads, dividends, early exercise (American options), and other factors. The Black-Scholes model makes simplifying assumptions including constant volatility and European-style exercise. This is not financial advice. Consult a qualified professional before making investment decisions.

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