Lesson 5

Five numbers that move a price

You do not need a textbook. You need five handles, and a feel for which one is in charge today.

Primer prices every contract with Black-Scholes. That model has a small set of inputs, and each one has a name for “what happens if this input twitches.”

Delta
How much the option moves when ACME moves $1. A 0.50 call behaves, roughly, like 50 shares.
Gamma
How fast delta itself changes. Near the strike, near expiry, gamma is loud.
Theta
What one day of waiting costs the long, in dollars per share.
Vega
How much the option moves if vol rises by one point. Big vega means the price is a vol bet as much as a direction bet.
Spot
The stock itself. Everything else is a sentence about this number.
Delta of a 21-day 100-strike call and put across spot Call delta rises from near 0 below the strike to near 1 above it. Put delta is the same curve shifted down by 1, from near −1 to near 0. spot = strike call Δ teal · put Δ oxblood
Delta is the slope. A call near 0.5 is a coin-flip on direction. A put near −1 already behaves like short stock.

You do not have to memorize formulas. On the desk, each quote shows these numbers. Read them as a weather report. A 0.15 delta, 2 days left, fat premium: the clock is the story, not the stock.

Check

Which number tells you the option is mostly a bet on vol, not on direction?