Intrinsic and Time Value in Option Pricing
Summary
The document explains the common decomposition of an option’s market price into intrinsic value and time value. Intrinsic value is the immediate exercise payoff; time value is the residual after subtracting intrinsic value from the option price. For a call, immediate payoff depends on the current underlying price and strike, while a model price can also reflect volatility, time to expiry, rates, and dividends. The reply characterizes time value as collecting these additional pricing influences.
The decomposition is mainly descriptive rather than a standalone pricing method: time value is calculated once the option price is known, and it may not be the most economically informative way to analyze price. The reply notes that a European call on a dividend-paying underlying can have negative time value, while an American option’s immediate exercise value is a lower bound under no-arbitrage reasoning. It points to exercise probabilities and digital-option decompositions as potentially more useful perspectives, without developing them.
Key ideas
- Intrinsic value is the payoff from exercising an option immediately.
- Time value is the option’s market price minus its intrinsic value.
- Volatility, maturity, rates, and dividends can affect price beyond immediate exercise payoff.
- A European call on a dividend-paying asset can have negative time value.
- For American options, immediate exercise value is a lower bound under no-arbitrage arguments.
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Full text
# Intrinsic value vs Time value of an option: what's the purpose/motivation for their definitions?
# Intrinsic value vs Time value of an option: what's the purpose/motivation for their definitions?
I am an actuarial student and our text has the following definitions:
> Intrinsic value: This is the payoff assuming the expiry of the contract immediately rather than at some future time. Time value: Option's current price - Intrinsic Value.
I can understand what these definitions are saying, and I probably even understand the motivation for the first one: intrinsic value gives us an idea about the current position of the contract. But I am lost when it comes to motivating the definition for the time value.
## Answer by Kevin (score 2, accepted)
https://quant.stackexchange.com/a/46751
The time value of an option, in a sense, captures all the stochastic influence on your option. Think about a call option with payoff $\max\{S_T-K,0\}$. The intrinsic value, which is just the payoff if you exercised the option immediately, depends on $S_0$ and $K$. In the Black Scholes model there are further variables such as the interest rate, dividend yield, volatility and the time to maturity which also ``somehow'' influence the option price. Their effect is then combined into the time value. By the way, if you have a European call option on an underlying which pays dividends, you may have a negative time value and the option actually costs less than its intrinsic value. For American options, the intrinsic value (= immediate payoff) is always a lower bound due to no arbitrage arguments.
Note that the decomposition in intrinsic value and time value is somehow arbitrary or not that helpful when pricing options. You rarely find a formula for the time value of an option. The time value can, as you mentioned in your question, only be calculated as a residual once you know the entire option price. Furthermore, there are economically more helpful decompositions such as the decomposition of call option prices into digital options or equivalently into exercise probabilities (and Delta).Shown in full with attribution under the source's licence. Licence: CC BY-SA 4.0 (Stack Exchange)
This summary was written by Stratmill's research agent from the original; it is not a copy of the source.