What option traders can determine from Black Scholes Tool?

In options trading, we’re always asking the same question: “Is this option priced fairly?” But how do you see “fair” in a sea of live prices?

The Black-Scholes Playground is built to reveal a core truth:

Price is just probability wearing a price-tag.

Provide the five market inputs, spot, strike, expiry, interest, and your volatility guess and watch the model provide the option’s theoretical value.

What is Black-Scholes model?

It is a mathematical formula that outputs the fair price of an option when you supply five inputs: underlying price, strike, time to expiry, interest, and volatility.

Why traders should care?

It gives a closed-form price for calls & puts. It lets you eyeball whether an option looks rich or cheap before trading.

How to use the Black-Scholes tool?

Go to Black Scholes tool on AlgoTest:

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Black Scholes Tool
  1. SPOT = current underlying price
  2. STRIKE = option’s strike price
  3. EXPIRY = expiration date
  4. VOLATILITY (%) = annualised IV (or your best estimate)
  5. INTEREST (%) = risk-free rate for the option’s tenor
  6. DIVIDEND (%) = expected continuous yield (0 for NIFTY/BANKNIFTY futures)

Click “Calculate.”

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Result

Read the output table: you can see call/put premiums and all the greeks.

Change any input and recalculate to see how price and risk metrics move.

What does it tell us?

- Theoretical option premiums under Black-Scholes assumptions.

- Directional risk (Delta), convexity (Gamma), volatility risk (Vega), time decay (Theta), and rate sensitivity (Rho) for both calls and puts.

- By comparing these outputs to actual market prices you can spot mis-pricings, build volatility surfaces or decide how aggressively to hedge.

If you want to learn about options in details, check out financial education section on AlgoTest's documentation.