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Options Basics: How Calls and Puts Are Priced

Options give you the "right, but not obligation" to buy or sell a stock at a set price in the future. They add three dimensions over stocks: direction, time, and volatility. This 8-minute lesson covers the basics — but understanding them doesn't mean you should trade them.

Two types, one-sentence each

  • Call option: the right to buy 100 shares at the strike price by a future date
  • Put option: the right to sell 100 shares at the strike price by a future date

Key phrase: "right, not obligation" — you can let it expire (maximum loss = the premium paid).

Anatomy of one contract

ElementMeaning
StrikeThe agreed buy/sell price
ExpirationWhen the option dies
PremiumWhat you pay for the right
Multiplier1 US option = 100 shares

Example: Buy AAPL Jan-2027 $250 Call, premium $5 / contract

  • Cost: $5 × 100 = $500
  • If AAPL > $250 at expiry: profit (AAPL − $250) × 100 − $500
  • If AAPL ≤ $250 at expiry: contract expires worthless, lose $500

Option price = intrinsic value + time value

Option price = max(0, Stock − Strike) + Time value     [Call]
Option price = max(0, Strike − Stock) + Time value     [Put]

Intrinsic value: what you'd earn exercising right now
Time value: the premium for "things may still move in your favor"

Key fact: time value decays exponentially as expiration approaches — this is Theta (time decay).

Implied Volatility (IV): options' most counterintuitive dimension

IV is the market's expected future volatility, derived from option prices. High IV → expensive options; low IV → cheap options.

Counterintuitive example: before an earnings event, IV typically rises. Even if you "called the direction right," IV crashes after earnings — and you can still lose. The industry term: IV Crush.

Five Greeks to know

GreekMeaning
DeltaHow much the option moves per $1 stock move
GammaHow fast Delta itself changes
ThetaDaily time decay
VegaSensitivity to a 1% change in IV
RhoSensitivity to interest rates (typically small)

Until you understand all five letters cold, don't size up any options strategy.

Five common beginner mistakes

1. Trading direction without checking IV
"I love this company long-term" ≠ "a call option today will profit." IV determines how expensively you're betting on direction.

2. Going too short-dated
Theta accelerates in the last 30 days. Beginners often buy weeklies and watch them decay to zero.

3. Selling naked calls or puts
Naked selling collects premium and looks like easy money — but maximum loss is theoretically unlimited. One black swan can blow up the account.

4. Ignoring position sizing
Options carry built-in leverage. Sizing them like stocks leads to systematic over-exposure.

5. 0DTE earnings gambling
0DTE (zero days to expiration) options are popular with retail, but hedge funds have a far larger statistical edge here. It's a casino, not investing.

Important questions

Are options appropriate for long-term investors?
Usually not as core positions. But as insurance (buying puts to hedge existing stock holdings) — a protective put — is a legitimate use.

Why does my broker require "options approval"?
The Options Clearing Corporation (OCC) and regulators require brokers to verify clients understand options risk. It's not bureaucratic — it's a reasonable protective measure.

Can 0DTE really earn "X% per day"?
Almost no one does it consistently; many lose their principal. Wikipedia documents multiple studies on 0DTE risk.

Quiz

Q1. How many shares does one US call option correspond to?
A. 1 share B. 10 shares C. 100 shares D. 1,000 shares

Q2. Which is true about time value?
A. It never changes B. It decays exponentially as expiration approaches
C. Unrelated to implied volatility D. Highest one day before expiration

Q3. "IV Crush" describes:
A. IV suddenly spiking B. IV compressing sharply after an event (e.g., earnings), dragging option value down
C. A hack D. Option expiring

Reference Answers

Q1: C Q2: B Q3: B


Further reading: Investopedia: Options Trading Tutorial · OCC — Characteristics and Risks of Standardized Options · Wikipedia: Black–Scholes Model


Educational content only — not investment advice. Options trading involves substantial risk and can lose your entire investment in a short period.

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