Need help in understanding IV role

In this image, IV and Vega are highlighted. For 10250 strike price IV is 27.7 and vega is 5.65. It means call and put will be increased by 5.65 points if IV increases 1% i.e. IV becomes 27.97 from 27.7. Considering rest greeks do not change.

Is this correct?

Yes, it is correct.

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how can i calulate iv? I want to create iv chart

Google will serve you better with this than me.

Iv is in annualized percentage form. So 1% increase means 27.7 to 28.7

You can calculate IV using Greek calculator (Black-Scholes calculator) if you know the option price.