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Options: reading the Greeks

An option buys you a choice at a fixed price, for a limited time. The Greeks estimate how much its price changes when the stock, time, or expectations change.

Our fictional ABC $100 call gives its buyer the right to buy ABC shares for $100 each, before the option expires. That $100 is the strike, not the stock’s current price.

The premium is the price of that right. Assume a standard contract covering 100 shares. A $5.00 premium per share means $5.00 × 100 = $500 per contract.

Bid is what buyers offer; ask is what sellers want. The mark is the midpoint of the best displayed quotes: ($4.90 + $5.10) ÷ 2 = $5.00. It is a reference price; an order may fill at a different price.

IV 30% is implied volatility: how much annualized stock-price uncertainty is built into the option’s price. It is not a 30% chance of profit.

Invented ticker and rounded teaching values. Choose a Greek, then change one input. Each example starts over from this same ticket.

Imagine a right to buy a share for $100. If the share becomes more valuable, that right usually does too. If time runs out, there is less opportunity for a favorable move. If bigger moves become possible, the choice becomes more valuable: the buyer can use it after a favorable move and let it expire after an unfavorable one. The premium is still a cost either way.

The Greeks put numbers on these effects. Each asks: if one input changes a little, with the others held fixed, what happens?

  • Delta — stock movement. How much the option’s price changes for a $1 stock move. A call’s positive delta means it tends to gain when the stock rises.
  • Gamma — delta’s movement. Delta itself changes as the stock moves. Gamma estimates how much delta changes for a $1 stock move.
  • Theta — time passing. The price change from one calendar day passing. A bought option usually loses time value, even if the stock stays still.
  • Vega — uncertainty. The price change for a 1 percentage point rise in IV, such as 30% → 31%. More uncertainty generally makes a bought call or put more valuable.
  • Rho — interest rates. The price change for a 1 percentage point rise in the risk-free rate used to price the option. For a call, paying the strike later becomes more attractive when rates rise.

Greeks describe the price now. Expiration has a simpler rule. At expiration, a call’s value per share is:

max(stock pricestrike,  0).\max(\text{stock price} - \text{strike},\;0).

If you hypothetically paid $5.00 for this $100 call, the expiration break-even would be $100 + $5.00 = $105.00 per share, before fees. Finishing above the strike alone does not guarantee a profit: the premium must be recovered too.

A sensitivity is an estimate, not a forecast. In real trading, the stock, time, and IV can change together, and the Greeks change too. Even a rising stock can leave a call worth less if time decay or falling IV outweighs the gain. Robinhood’s quote guide explains these displayed units.

Definition

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