Concept
Options Greeks: An Overview
The Greeks measure how a theoretical option price responds to changes in one input at a time — the underlying price, volatility, time and interest rates. They are outputs of a pricing model, not observed properties of the contract.
Delta across spot price (19800 – 24200)
| Theoretical price | 512.69 |
| Deltachange in option value per 1 unit move in the underlying | 0.5515 |
| Gammachange in delta per 1 unit move in the underlying | 0.00035 |
| Thetachange in value per calendar day, all else equal | -9.555 |
| Vegachange in value per 1 percentage point of implied volatility | 24.953 |
| Rhochange in value per 1 percentage point of interest rate | 9.550 |
Computed with the same Black-Scholes implementation CernoQuant uses for real trades, at a 6.5% risk-free rate and calendar-day theta. Values are theoretical: traded option prices differ from model prices, and every input above is hypothetical.
How to read it
- Each Greek isolates one input. Delta answers what happens if the underlying moves and nothing else changes — a condition that essentially never holds in practice.
- They are instantaneous. Delta is the sensitivity right now; it changes as soon as anything moves, which is what Gamma measures.
- They come from a model with assumptions. Different models and different volatility inputs produce different Greeks for the same contract.
What it does not tell you
- Because each Greek holds everything else constant, adding them up rarely predicts an actual price change. Real moves involve several inputs changing together.
- Black-Scholes assumes constant volatility and continuous trading, neither of which holds. The outputs are useful approximations, not measurements.
- The volatility input is not observable. Implied volatility is backed out of a traded price, so the Greeks inherit whatever that price reflects.
Frequently asked questions
What are the options Greeks?
Delta, Gamma, Theta, Vega and Rho — each measuring how a theoretical option price responds to a change in one input: underlying price, rate of delta change, time, volatility and interest rates respectively.
Are the Greeks accurate?
They are model outputs with assumptions built in, including constant volatility and continuous trading. They are useful approximations rather than exact measurements, and traded prices routinely differ from model prices.
Do I need to understand the Greeks to trade options?
Whether to trade options at all is your decision and not something this page addresses. What is fair to say is that option prices respond to several variables simultaneously, and the Greeks are the standard vocabulary for describing those responses.
Why do different platforms show different Greeks?
Because they may use different pricing models, different volatility inputs, different interest rates, and different conventions for theta (calendar versus trading days).
Related
- Delta — Concept
- Theta (Time Decay) — Concept
- Vega and Gamma — Concept
Educational use only
This page is educational material about how a technical tool is calculated and read. It is not investment advice, not a recommendation to buy or sell anything, and not a signal service. No indicator predicts future prices. CernoQuant is a trading journal and analytics platform, not a SEBI-registered investment adviser. Trading decisions and their outcomes are yours alone.
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