Option Premium Calculator

An option premium calculator estimates the fair value of a call or put using the Black–Scholes model. Enter the spot price, strike, days to expiry, volatility and interest rate, and ATS instantly returns the theoretical premium plus the option Greeks — Delta, Gamma, Theta, Vega and Rho.

Enter spot, strike, days to expiry and volatility to compute the option fair value and Greeks.

Key takeaways

  • Premium = intrinsic value + time value; the calculator returns the Black–Scholes theoretical (fair) value.
  • Five inputs drive it: spot price, strike, days to expiry, volatility and the risk-free interest rate (dividend yield is optional).
  • It also outputs the Greeks — Delta, Gamma, Theta, Vega and Rho — so you can see how the premium reacts to price, time and volatility.
  • Volatility has the largest effect on time value: higher volatility means a richer premium for both calls and puts.

About the Option Premium Calculator

An option premium is the price a buyer pays — and a seller (writer) receives — for an option contract. It is made up of intrinsic value (how far the option is in-the-money) plus time value (the chance the option moves further in-the-money before it expires). The ATS Option Premium Calculator estimates this premium for any call or put.

The calculator uses the Black–Scholes model, the industry-standard options pricing formula. From the spot price (CMP), strike price, days to expiry, volatility and the risk-free interest rate — with an optional dividend yield — it computes the theoretical fair value of the option, recalculating live as you change any input.

Alongside the premium it shows the option Greeks. The Greeks tell you how sensitive the premium is to the underlying price (Delta), the rate of change of Delta (Gamma), the passage of time (Theta), volatility (Vega) and interest rates (Rho) — the key levers behind every options trade.

What each option Greek tells you
GreekMeasuresRead it as
DeltaPremium sensitivity to a ₹1 move in the underlying≈ rupees gained/lost per ₹1 move (0 to 1 for calls, −1 to 0 for puts)
GammaRate of change of DeltaHow fast Delta shifts as the spot price moves
ThetaTime decay per dayRupees of premium lost each day, all else equal
VegaSensitivity to a 1% change in volatilityPremium change for each 1% move in implied volatility
RhoSensitivity to a 1% change in interest ratesPremium change for each 1% move in the risk-free rate

Worked example

  • Spot ₹100, strike ₹100, 30 days to expiry, volatility 20%, interest 6.5% — a near-the-money call.
  • Black–Scholes returns a theoretical premium of about ₹2.5 per share (the exact figure updates live as you change inputs).
  • Raise volatility to 30% and the same option’s premium climbs — extra uncertainty makes the option more valuable, which is exactly what positive Vega measures.
Rates updated: June 2026. Reviewed by ATS Share Brokers Pvt Ltd — Authorised Member of NSE, BSE & MCX. Figures are indicative and statutory rates, exchange charges and SPAN/exposure margins are set by SEBI and the exchanges and change from time to time. See our disclaimer — verify the exact numbers on your trading platform before you trade.

Frequently Asked Questions

The premium is the price you pay as a buyer, or receive as a seller, for an option. It has two parts: intrinsic value — how far in-the-money the option is — and time value, which reflects the chance the option moves further in-the-money before expiry.

It uses the Black–Scholes model, the standard options pricing formula. From the spot price, strike, days to expiry, volatility and the risk-free interest rate it computes the theoretical (fair) premium for a call or a put, updating instantly as you edit inputs.

The Greeks measure how the premium reacts to different factors: Delta (underlying price), Gamma (rate of change of Delta), Theta (time decay), Vega (volatility) and Rho (interest rates). The calculator shows all five alongside the fair value.

Black–Scholes gives a theoretical value from the inputs you enter. The market premium also reflects supply and demand, the implied volatility traders are actually pricing in, dividends and liquidity — so the two can differ. Adjust the volatility input to match current market conditions.

Volatility is the biggest driver of time value. Higher volatility raises the premium for both calls and puts because there is a greater chance the option ends deeper in-the-money. This sensitivity is measured by Vega.

Yes. Choose Call or Put and the calculator applies the correct Black–Scholes formula and Greeks for that option type.

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