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Education / Track II · The Greeks / L.07

Theta: The Cost of Carrying Time

Theta is what option buyers pay every day they hold a position. It is also what sellers earn. The distribution is wildly uneven across the option's life.

12 min read · Lesson 7 of 24

What theta measures

Theta is the rate at which an option loses value as time passes, assuming nothing else changes. A theta of −0.05 means the option will lose 5 cents per day from time decay alone. For long positions, theta is always negative. For short positions, it is always positive.

Time is the one variable that moves in only one direction. Spot can rise or fall, IV can expand or contract, but the calendar only goes forward. This makes theta unique among the Greeks. It is the only one with a guaranteed direction.

Why time has value

An option's price has two parts: intrinsic value (what it would be worth if exercised today) and extrinsic value (everything else). Out-of-the-money options have zero intrinsic value. Their entire price is extrinsic. At expiry, all extrinsic value collapses to zero. The option is either worth its intrinsic value or it is worth nothing.

Time decay is the steady erosion of that extrinsic value as expiry approaches. The longer until expiry, the more chance the underlying has to move into the money. The shorter the time, the less chance, and the less the extrinsic value is worth.

The shape of decay

Theta is not constant. Time decay accelerates as expiry approaches. A 90-day option might lose only a few cents a day. The same option in its last week of life can lose 50 cents a day.

0 30 60 90 120 $0 $2 $4 $6 Days to Expiry Option Price Steepest decay last 30 days ATM Call Price vs Days to Expiry · Strike $100 · IV 25%
Fig. 07.1 ATM call price as a function of days to expiry. The curve is convex. Decay accelerates dramatically in the final 30 days.

This shape is why option sellers focus heavily on the front of the curve. Selling 30-day options captures more theta per day than selling 90-day options of the same strike. Selling weekly options captures even more, but exposes the seller to the gamma problem from the previous lesson.

The fundamental tension
Theta and gamma trade off against each other. Short-dated options have rich theta but explosive gamma. Long-dated options have safer gamma but slow theta. Every options strategy is, at some level, a position on this tradeoff.

Theta is highest at the money

The strike with the most extrinsic value is the at-the-money strike. That is also the strike with the highest theta. Deep ITM and deep OTM strikes have less extrinsic value to lose, so they have less theta to extract.

This is why short-premium strategies (short straddles, iron condors, credit spreads) tend to cluster around at-the-money strikes. That is where the time-decay revenue is.

Theta on weekends and holidays

Theta is calculated on a calendar-day basis, not a trading-day basis. An option held over a Friday-Saturday-Sunday will lose three days of theta even though only one trading day passed. Most option pricing platforms display theta as the expected one-day loss, so a Friday close shows next Monday's expected price after three days of decay.

This is why short-premium strategies often perform best from Friday to Monday, especially in calm markets. The decay accumulates while no spot or IV movement happens.

Theta vs realized P&L

Theta is what your position would lose to time decay if absolutely nothing else moved. In practice, almost everything else moves: spot drifts, IV expands or contracts, dividends and rates shift. Realized P&L on any given day is theta plus a soup of other effects. Some days you collect theta and lose more on gamma. Some days you collect theta and lose more on vega.

This matters because new option sellers often look at theta in isolation and assume it represents profit. It does not. It represents one component of P&L. The rest depends on what the underlying actually does.

How professionals think about theta

A professional short-premium book is not really betting that nothing happens. It is betting that what does happen costs less than the theta collected. The trader is short gamma, short vega, long theta. The arithmetic only works if realized volatility comes in below implied volatility (the variance risk premium, covered in L.11).

If realized volatility runs above implied, even a perfectly designed short-premium position will lose money. The theta collected will not be enough to cover the gamma losses. This is the structural reason short-premium strategies require either an edge in IV pricing or a strict risk-management overlay.

What you carry forward