Derivatives

Call Option Calculator

Price a European call option with the Black-Scholes model, enter the spot price, strike, risk-free rate, volatility and time to expiry.

  • Free
  • No sign-up
  • Updated for 2026

Option inputs

$
$
%
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Enter all five inputs to price the call.

Worked example

With these example inputs:

  • Spot price$100
  • Strike price$100
  • Risk-free rate5%
  • Volatility20%
  • Time to expiry (years)1

Call option value: $10

  • Put option value$6
  • d₁0.35
  • d₂0.15

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What this call option calculator does

This calculator prices a call option. You enter the spot, strike, rate, volatility, and time. The tool then runs the Black-Scholes model. So you see a fair value for the call. It also shows the matching put value. The result appears in your chosen currency.

What a call option is

A call option is a right to buy. It lets you buy a stock at the strike. You pay a premium for that right. So it gains value when the stock rises. It can expire worthless if the stock stays low. This tool estimates that premium.

How it is calculated

The tool uses the Black-Scholes model. It weighs the spot, strike, rate, volatility, and time. It then discounts the strike to today. So each input shifts the fair value. The result is the call option value. The calculator handles this for you.

What the result tells you

The result shows the call option value. A spot and strike of one hundred gives about ten and a half. A higher spot raises it. More volatility raises it too. So it shows a fair premium today. It is only a model estimate.

The spot price

Your spot price is the stock's price now. It is where the shares trade today. A higher spot lifts the call value. So this number drives much of the result. Use the current market price. It drives the entire result here. Enter your spot price.

The strike price

Your strike price is the agreed buy price. It is the level you can buy at. A lower strike lifts the call value. So this number sets the target. Use the strike of the contract. A strike near the spot is common. Enter your strike price.

The risk-free rate

The risk-free rate is a safe return. It is often a short government bond yield. A higher rate lifts the call value a little. So this number discounts the strike. Use a current short-term rate. Enter it as a percent. Enter your risk-free rate.

The volatility

The volatility is how much the stock swings. It is the size of the price moves. More volatility lifts the call value. So this number is a big driver. Use an annual volatility figure. Bigger swings mean a pricier option. Enter your volatility.

The time to expiry

The time to expiry is the years left. It is how long the option runs. More time lifts the call value. So this number stretches the chance to gain. Use the span in years. Half a year is zero point five. Enter your time to expiry.

How to use it

Enter your spot price first. Add the strike, rate, volatility, and time. Read the call option value in your currency. Then see the put value too. Try a higher volatility. Compare a few strikes. Use it to weigh an option trade.

A final tip

Use this to gauge a fair premium fast. Remember it is only a model. It assumes a European option held to expiry. Real prices add spreads and demand. Volatility is the hardest input to pin. Do not trade on this alone. A careful trade needs live quotes.

Frequently asked questions

What drives a call option's value?

A call rises with the spot price, volatility and time, and falls as the strike rises. Higher volatility means a wider range of outcomes, which lifts the option's worth.

Is this the price I would pay?

It is the Black-Scholes theoretical value, not a live quote. Market prices reflect supply, demand and factors the model leaves out, so use it as a benchmark.