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Θ Theta

The Four That MatterHow much do I earn per day?

The value an option loses each day purely from time passing. When you sold the option, that loss is your income — it is the engine the whole wheel runs on.

Where you see it: The Theta / day figure in your journal's live-risk strip, per-position in the Assign tooltip, and on AI Trader position cards.

What it measures

An option's price splits into intrinsic value (how far in the money it is) and extrinsic value (everything else — time and volatility). Theta measures how fast the extrinsic part drains as the clock runs. It is quoted per share per calendar day, so a theta of 0.05 means the contract loses about five cents of value a day, or $5 per contract.

The drain is not linear. Extrinsic value falls roughly with the square root of time remaining, so the curve steepens as expiry approaches: the last week gives up far more per day than a week six months out. That is why the diagram above bends.

For a buyer, theta is a cost — a headwind that has to be overcome by the stock moving. For a seller, it is revenue. You collected the premium up front, and every day the contract is worth less to buy back, which is money moving toward you. This is the single clearest reason the wheel is a seller's strategy.

decay is slowest heresteepest heretime, left to right, toward expiryextrinsic value
The time value left in an at-the-money option as expiry approaches. It does not drain evenly: the curve steepens, so the last stretch gives up value fastest. Theta is the slope of this line, which is why a short-dated contract earns more per day than a long-dated one of the same strike — and why the final days are both the richest and the twitchiest. Shape ∝ √(time remaining).

How to read it

The platform shows theta as dollars per day for the whole position: |theta| × 100 × contracts. Two contracts at 0.053 is about $10.60 a day. That is the figure to compare against, not the raw per-share decimal.

Theta is highest for at-the-money options and falls off in both directions — a deep in-the-money or far out-of-the-money contract has little extrinsic value left to lose.

Book-level theta is the sum across every live leg, and it moves for mundane reasons: it climbs as expiries approach and drops when positions are closed or roll off. A falling book theta usually means positions resolved, not that anything went wrong.

Using it on the wheel

Theta per day turns an options book into something that reads like a yield. A book earning $60 a day in decay describes roughly $1,200 a month if nothing changes — and nothing ever stays unchanged, which is why the figure is a rate and not a forecast.

The relationship between theta and expiry is why tenor is a real choice. Shorter-dated contracts earn more decay per day but need replacing more often and give less room to manage; longer-dated ones earn less per day and tie up collateral longer. Both AI Trader books exist to show that trade-off side by side.

Theta and gamma pull against each other. The final days before expiry are where decay is richest and where the position is least stable — the same steep curve that pays best is the one that reprices fastest on a move.

What a book earns for doing nothing

Three live short puts: theta 0.053 × 2 contracts, 0.030 × 3, and 0.090 × 1.

Per day: (0.053 × 100 × 2) + (0.030 × 100 × 3) + (0.090 × 100 × 1)

= $10.60 + $9.00 + $9.00 = $28.60 a day.

That is the number the live-risk strip prints, and it assumes the stock does nothing at all.

Theta on a covered call is earned the same way as on a put — the call you sold also decays, and that decay is income while you continue to hold the shares underneath it.
Theta is a snapshot rate, not a promise. It is recomputed from current prices, and it changes every day — usually upward as expiry approaches.
A long leg of a credit spread bleeds theta rather than earning it, so a spread's net decay is smaller than its short leg alone. The platform nets both legs; comparing only the short leg overstates the income.

Like everything in this guide, these are descriptions of conditions and reference levels — context for your own decisions, not instructions to trade.