IV Calculation Methodology Query

dipu_biswas
Hi Zerodha Team,

I'm building an options tool and need to match your IV calculations.

Quick questions:
1. Model: Black-Scholes or Black-76?
2. Underlying: Spot or Futures?
3. Risk-free rate: What % do you use?
4. Time: Calendar days/365 or Trading days/252?

Example to verify:
- NIFTY 24000 CE, 7 days to expiry
- Market Price: ₹150, Spot: 23,950
- My IV: 15.23% (using BS, spot, 7%, 7/365)
- Does this match your calculation?

Thanks!
  • salim_chisty
    We use data provided by Sensibull, which employs a modified version of the Black-76 model, tailored for Indian markets and widely used by professional traders. Below are the key details of the model:
    - Model: Modified Black-76 model (instead of Black-Scholes).
    - Underlying: The Futures price is used instead of the spot price, as it already incorporates interest rates and dividends.
    - Risk-free rate: The risk-free rate is implied within the futures price. For the exact rate, you may refer to the exchange data.
    - Time basis: 252 trading days are used for IV calculations on Sensibull.
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