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WSU Lexicon: Derivatives
An option is out of the money when immediate exercise would produce no payoff, so its intrinsic value is zero. A call is out of the money when the underlying trades below the strike price; a put is out of the money when the underlying trades above the strike.
It sits opposite in-the-money on the moneyness spectrum, with at-the-money in between.
The entry
Moneyness compares the spot price of the underlying with the exercise price and sorts every contract into one of three states. For a call, exercise value equals the greater of zero and spot minus strike; for a put, the greater of zero and strike minus spot. The maximum operator is what creates the out-of-the-money state: when the difference runs the wrong way, the holder simply declines to exercise, and the value floor stays at zero rather than turning negative. That asymmetry is the defining structural feature of an option and the reason a buyer's loss is capped at the premium paid.
At a single strike, the call and the put are mirror images. If the call is out of the money because spot sits below the strike, the put at that same strike is in the money by exactly the same distance. Only at the strike itself, where spot and exercise price coincide, are both contracts at the money and both intrinsic values zero.
The entry
An option premium decomposes into exercise value plus time value. Because an out-of-the-money contract has no exercise value, its entire quoted price is time value: compensation for the possibility that the underlying moves through the strike before expiration. Two variables dominate that possibility, namely the time remaining and the volatility of the underlying. Longer maturity and higher volatility widen the distribution of terminal prices, raising the probability mass beyond the strike and lifting the premium.
The sensitivities behave accordingly. Delta for an out-of-the-money call lies between zero and roughly one half, and moves toward zero as the strike becomes more distant, so the price responds sluggishly to small moves in the underlying but accelerates as spot approaches the strike. Time decay works relentlessly against the holder, since a contract composed purely of time value converges to zero at expiration unless it finishes in the money.
The entry
Most listed option volume trades away from the money. Protective put programmes and collars are typically built from puts struck below spot and calls struck above it, because those strikes cost less and the buyer is insuring against large moves rather than small ones. Covered call writing sells out-of-the-money calls to convert upside beyond a chosen level into current income. Corporate stock options that fall out of the money are described as underwater, a recurring issue in compensation design and in the dilution assumptions behind diluted earnings per share.
Pricing across strikes is not flat. In equity index markets, out-of-the-money puts persistently trade at higher implied volatilities than equidistant out-of-the-money calls, the pattern known as the volatility skew, reflecting demand for downside protection and the tendency of index returns to gap lower rather than higher.
The entry
Expect to classify moneyness quickly from a spot and strike pair, in both directions and for both contract types, then state exercise value using the maximum-of-zero formulation. Expect also to separate a quoted premium into its exercise value and time value components, which for an out-of-the-money contract means assigning the full premium to time value.
Beyond classification, the concept underpins payoff and profit diagrams, where the break-even point for a long out-of-the-money call sits at the strike plus the premium and for a long put at the strike minus the premium, so the underlying must travel past the strike by the full cost before the position profits. It also supports put-call parity work, since identifying which side of a strike the spot price sits on tells you immediately which leg of the synthetic relationship carries intrinsic value. Finally, be prepared to reason about how a rise in volatility or a lengthening of maturity affects a contract whose value is entirely time value.
Common trap
Zero intrinsic value is not zero price. Before expiration an out-of-the-money option still carries time value, because volatility and remaining time create a chance it finishes in the money. Only at expiry does it expire worthless.
In practice
Equity index puts struck far below spot were out of the money and cheap through 2019. When markets collapsed in March 2020 and implied volatility spiked, those same contracts repriced sharply, rewarding investors holding them as tail hedges.
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See also
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