What this Black-Scholes calculator does
This calculator prices a European option. You enter the spot, strike, rate, volatility, and time. The tool then runs the Black-Scholes model. So you see a fair call and put value. It is a standard way to price options. The result uses the currency you choose.
What the Black-Scholes model is
Black-Scholes is a famous option pricing model. It gives a fair price for a European option. It assumes steady volatility and a constant rate. So it is a clean, widely used benchmark. It works for options exercised only at expiry. It earned a Nobel Prize in economics.
How it is calculated
The model weighs the spot against the strike. It uses volatility and time to set two factors. These are called d-one and d-two. It then discounts the strike at the risk-free rate. So the call is the spot less the discounted strike, each weighted. The calculator does the math for you.
What the result tells you
The result shows the call option value. A spot and strike of one hundred here gives about ten dollars. A higher spot raises the call. More volatility raises it too. So it shows the fair premium today. It is only a model estimate.
The spot and strike prices
The spot price is the current price of the asset. The strike is the price you may buy at. A spot above the strike makes a call worth more. So the gap between them matters a lot. Use the live spot and your chosen strike. They set where the option stands. Enter your spot and strike prices.
The volatility
The volatility is how much the price swings. It is the biggest driver of an option's value. More volatility means a higher premium. So this number moves the price the most. Use an annual volatility figure. It is often the hardest input to judge. Enter your volatility.
The rate and time
The risk-free rate discounts the future strike. A higher rate lifts a call's value. The time to expiry is the years left. More time gives the option more room to move. So both inputs feed the final price. Enter your rate and time to expiry.
The put option value
The tool also shows the put option value. A put profits when the price falls. Here the put is worth about five and a half dollars. It is linked to the call by parity. So the two prices move together. Use it to price the downside side.
How to use it
Enter your spot price first. Add the strike, rate, volatility, and time. Read the call and put values in your currency. Then try a higher volatility. See how the premium grows. Compare a few strikes. Use it to gauge a fair price.
The limits of this calculator
This tool comes with limits. It prices European options only. It assumes steady volatility and rates. It ignores dividends and early exercise. Real prices can differ from the model. So let it guide you, not bind you. So check market quotes as well.
A final tip
Use this to price an option fast. Remember it is only a model. Volatility is the input that matters most. Mind that real markets add a skew. Compare the value to a live quote. Do not trade on the model alone. A careful view needs the market too.