🌾 Farmer's Almanac

A call gives you the right to BUY 100 shares at the strike price. You pay a premium upfront for this right. You buy a call when you expect the stock to rise. Below the strike at expiry — you lose the premium. Above the break-even (strike + premium) — you profit dollar-for-dollar with the stock. Your maximum loss is always capped at the premium paid; your upside is theoretically unlimited.

The payoff diagram shows this clearly: the left side of the chart is a flat line (max loss = premium you paid, no matter how far the stock falls). Once the stock crosses the strike price, you start recovering your premium. Once it crosses break-even, every extra $1 the stock rises adds $1 of profit per share ($100 per contract). The 'hockey stick' shape is the signature of a long call.

A put gives you the right to SELL 100 shares at the strike price. You buy a put when you expect the stock to fall. Above the strike at expiry — you lose the premium. Below break-even (strike − premium) — you profit as the stock falls. Maximum loss is the premium paid; maximum profit is capped at the strike price (stock can only go to $0). Puts are also used as insurance — owning a put on a stock you hold protects you if it crashes.

The payoff diagram is a mirror image of a call — a hockey stick pointing left and downward. The flat right side is your max loss (stock stays above strike; put expires worthless). The falling left side is your profit zone: every $1 the stock drops below break-even adds $1 of profit per share. Buying a put on a stock you own is like buying fire insurance on a house — you pay a premium, and if disaster strikes, you're protected.

Every option's price (premium) is the sum of exactly two components: Intrinsic Value + Time Value. Understanding this split tells you exactly what you are paying for and what will erode.

Intrinsic Value is the immediate exercise profit right now. For a call: max(Stock Price − Strike, 0). For a put: max(Strike − Stock Price, 0). Only ITM options have intrinsic value — it can never be negative. Time Value is everything above intrinsic. It reflects the probability of further profitable movement before expiry, driven by time remaining (DTE) and implied volatility (IV). Time value is HIGHEST for ATM options and decays to zero at expiration (theta). Deep ITM or deep OTM options have very little time value. At expiry, an option is worth only its intrinsic value — zero if OTM.

IV is the market's forecast of how wide the stock's future price swings will be, expressed as an annualized percentage. Think of it as the WIDTH of the option's 'expected range'. High IV = wide expected range → options are expensive. Low IV = narrow expected range → options are cheap. IV is reverse-engineered from market option prices — it's what the market IS paying, not what you calculate.

The most dangerous IV trap is IV crush around earnings. Before the announcement, uncertainty is high — traders bid up options aggressively and IV spikes. The moment earnings are released, uncertainty collapses even if the news is dramatic, and IV crashes back down. If you bought a call before earnings and IV drops from 70% to 25% (a common pattern), your call can lose 50–60% of its value from the IV drop alone — even if the stock moved in your direction.

An option is In-the-Money when it already has intrinsic value — meaning you could exercise it right now and profit before even considering what you paid. For a call, this means the stock price is ABOVE the strike price. For a put, it means the stock price is BELOW the strike price.

ITM options are more expensive because part of their premium is real, locked-in value — not just a bet on future movement. A deep ITM call (say, $20 below the strike) has a delta close to 1.0 and behaves almost like owning 100 shares. Traders use deep ITM options as stock substitutes (especially LEAPS) to get leveraged exposure with a lower capital outlay than buying shares outright.

An option is At-the-Money when the strike price is equal (or very close) to the current stock price. ATM options have zero (or near-zero) intrinsic value — their entire premium is made up of time value. This is where delta is closest to ±0.50, meaning the option has roughly a 50/50 chance of expiring in-the-money.

ATM options are the most sensitive to all the Greeks: they have the highest gamma (delta changes fastest), highest vega (most sensitive to IV changes), and the fastest time decay in absolute dollar terms. Because of this, ATM options are the most 'interesting' to both buyers (maximum leverage) and sellers (maximum premium collection for a given strike).

An option is Out-of-the-Money when exercising it right now would result in a loss. For a call, this means the stock is BELOW the strike. For a put, the stock is ABOVE the strike. OTM options have zero intrinsic value — their entire premium is time value (the market's bet that the stock will move enough before expiry).

OTM options are cheaper, which makes them attractive to buyers wanting maximum leverage — a 5x or 10x return is possible if the stock makes a big move. However, statistically most OTM options expire worthless. The further OTM you go, the cheaper the option but the less likely it pays off. Sellers love OTM options for this reason: they collect premium knowing that most of the time the option expires worthless and they keep everything.

Delta measures how much the option's price changes for every $1 move in the stock. A call delta of 0.50 means the option gains $0.50 when the stock rises $1 — and loses $0.50 when the stock falls $1. Call deltas run from 0 (deep OTM, barely moves) to 1.0 (deep ITM, moves dollar-for-dollar with stock). Put deltas are negative: −1.0 (deep ITM) to 0 (deep OTM).

Delta doubles as a rough probability estimate. A 0.30 delta call has roughly a 30% chance of expiring in-the-money. At-the-money (ATM) options hover near ±0.50. As the stock moves deep ITM, delta approaches ±1 and the option behaves like owning 100 shares. Deep OTM deltas creep toward 0 — the option barely responds to price moves.

Gamma is the rate of change of delta — it measures how quickly your delta shifts as the stock moves. If delta is the speedometer, gamma is the acceleration. A gamma of 0.05 means your delta jumps by 0.05 for each $1 the stock moves. Gamma is always positive for long options (calls and puts) and negative for short options.

Here's the key insight: near expiration, the delta S-curve becomes almost a vertical cliff at ATM. A 30-DTE option that moves $5 might see delta shift from 0.50 to 0.63 — a manageable 0.13 change. But a 3-DTE option hit by the same $5 move can see delta leap from 0.50 to 0.90 — a 0.40 shift. Your position went from 'neutral, 50/50' to 'acting like 90 shares' in one day. If you sold that ATM option, you now owe 90 cents on every $1 the stock moves against you. That's why short ATM positions in the final week are so dangerous: the same move that would've been fine at 30 DTE becomes catastrophic at 3 DTE.

Theta is time decay — the daily dollar amount an option loses in value simply because another day has passed. Theta is always negative for long options (you own something that's melting) and positive for short options (you collect the melt). A theta of −0.05 means the option loses $5 per day per contract, all else equal.

Theta decay is not linear — it accelerates as expiration approaches. An option at 30 DTE might decay $5/day; the same option at 7 DTE might decay $15/day. The last week before expiry is where the melt becomes a flood. This is why option sellers prefer the 30–45 DTE 'sweet spot': you collect fast-decaying premium without the gamma explosion of the final week.

Vega measures how much an option's price changes for each 1-percentage-point move in Implied Volatility (IV). A vega of 0.10 means the option gains $10 per contract when IV rises 1%, and loses $10 when IV drops 1%. Both calls and puts have positive vega — all long options benefit from rising volatility. Short options have negative vega.

Vega is largest for longer-dated, ATM options. A LEAPS call might have vega of 0.50 — meaning a 5% IV spike adds $250 to its value. Short-dated OTM options have tiny vega. This is why earnings are so dangerous for long options: IV spikes before the announcement (making options expensive), then collapses after ('IV crush') — even if the stock moves in your direction, the IV drop can erase your profit.

Rho measures sensitivity to interest rate changes. A rho of 0.05 means a 1% rise in interest rates adds $5 per contract to a call's value. Calls benefit from rising rates (positive rho); puts lose value (negative rho). The intuition: higher rates make it more attractive to hold cash and sell the stock, so the right to buy (call) becomes more valuable while the right to sell (put) becomes less so.

For most short-dated options (< 90 days), rho is small enough to ignore — a 0.25% Fed move would shift a $2 option by maybe $0.05. But for LEAPS (1–2 year options), rho can be significant. A 2-year LEAPS call with rho = 0.40 gains $40 per contract from a 1% rate hike. During aggressive Fed hiking cycles (like 2022), LEAPS pricing shifted meaningfully from rho effects alone.

You own 100 shares and sell 1 call against them. The premium you collect is yours to keep regardless of what happens. In exchange, you cap your upside: if the stock rises above the strike, your shares get called away at the strike price and you miss any gains above it. This is the most common income strategy for stock holders — you monetise time decay on shares you already own.

The covered call shifts your break-even lower (you paid $100 for the stock but collected $3 premium → your effective cost is now $97). It does NOT protect against large drops — if the stock crashes from $100 to $60, you lose $37/share (the $40 drop minus the $3 premium). The call only helps at the margin. Think of it as 'rent' on your shares: you get paid monthly, but you may have to sell if the stock rallies above your 'rental ceiling'.

You sell a put and hold enough cash in your account to buy 100 shares at the strike price if assigned. You collect the premium immediately. If the stock stays above the strike at expiry, the put expires worthless and you keep the premium. If the stock falls below the strike, you are obligated to buy 100 shares at the strike — but your effective cost is reduced by the premium you collected.

Cash-secured puts are the ideal strategy when you WANT to own a stock at a lower price and get paid to wait. If not assigned, you earned income. If assigned, you acquired shares at a discount (effective cost = strike − premium). It's often called the 'wheel strategy' entry leg: sell puts to acquire stock at your target price, then sell covered calls to generate income on those shares. The risk profile is nearly identical to a covered call — you're exposed to the same downside if the stock crashes.

Buy a call at a lower strike AND sell a call at a higher strike — same expiry. The short call reduces your cost but caps your maximum profit. You pay a net debit upfront. You profit if the stock rises above your break-even (lower strike + net debit). Your loss is capped at the debit paid; your profit is capped at the spread width minus the debit.

The bull call spread solves a major problem with buying naked calls: cost and vega risk. Buying a $100 call for $3 and selling a $110 call for $1.50 reduces your cost from $300 to $150 per contract — and cuts your vega exposure in half (IV crush hurts much less). The tradeoff is capped upside: you can never make more than $8.50 per share no matter how high the stock goes. The spread is ideal when you're moderately bullish — expecting a $10–15 move, not a moonshot.

Buy a put at a higher strike AND sell a put at a lower strike — same expiry. You pay a net debit. You profit when the stock falls below your break-even (higher strike − net debit). Maximum loss is the debit paid; maximum profit is the spread width minus the debit. This is the bearish mirror image of the bull call spread.

The bear put spread lets you express a bearish view at much lower cost than buying a naked put. The short put at the lower strike offsets roughly half the premium cost of the long put. If you're right about direction but wrong about magnitude (stock falls $5 not $15), the spread still captures solid profit. The main risk: the stock doesn't move or moves up — you lose the entire debit. Unlike shorting stock or buying naked puts, your maximum loss is strictly defined.

Simultaneously sell an OTM call spread (bearish) AND sell an OTM put spread (bullish). You collect premium on both sides. If the stock stays between the two short strikes at expiry, both spreads expire worthless and you keep all the premium. If the stock breaks out in either direction, you start losing — but losses are always capped by the long options at the outer strikes.

The iron condor is a pure bet on low movement — you profit from theta decay as long as the stock stays range-bound. The four legs create a tent-shaped payoff: maximum profit in the middle, capped losses on either side. The key tension: wide strikes collect more premium but get tested more often; narrow strikes are safer but pay less. Most traders target a 50% profit close-out rule — when you've collected half the max premium, buy the whole position back and move on.