Options Greek Simulator

Visualize how Delta, Gamma, Theta, Vega, and Rho respond to changing market conditions using the Black-Scholes model.

Parameters

Option Type
Spot Price $100.0
$50$200
Strike Price $100.0
$50$200
Time to Expiry 0.50 yr
0.01 yr2.00 yr
Implied Volatility 25%
5%80%
Risk-Free Rate 5.0%
0%10%
Moneyness: At the Money (ATM)
S/K = 1.000

Current Values — Call Option

Price 8.2600

Theoretical fair value of the option

Delta 0.5909

Rate of change in option price per $1 move in underlying

Gamma 0.0220

Rate of change in delta per $1 move in underlying

Theta -0.0258

Option value lost per day (time decay)

Vega 0.2747

Change in value per 1% change in implied volatility

Rho 0.2541

Change in value per 1% change in risk-free rate

Greeks vs.
Delta
Gamma
Theta
Vega

Option Price

Greek Definitions

Greek Symbol Meaning Value
Delta Δ Price sensitivity to $1 move in underlying 0.59088
Gamma Γ Rate of delta change per $1 move 0.02198
Theta Θ Daily time decay in option value -0.02578
Vega ν Sensitivity to 1% change in implied vol 0.27474
Rho ρ Sensitivity to 1% change in rates 0.25414

Risk Disclaimer

This tool is provided for educational and informational purposes only and does not constitute financial, investment, or trading advice. Options trading involves significant risk and is not suitable for all investors. The values displayed are theoretical estimates based on the Black-Scholes model, which makes assumptions (e.g., constant volatility, no dividends, European-style exercise) that may not reflect real market conditions. Actual market prices may differ materially from these theoretical values. Past performance is not indicative of future results. Always consult a qualified financial professional before making any investment decisions. OptionBots.com is not responsible for any losses incurred from reliance on this tool.

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