Back-solve IV from any observed option price. Black-Scholes bisection — robust to flat-vega regions where Newton-Raphson diverges. Returns IV + full Greeks in one shot.
IV is whatever volatility number, when plugged into Black-Scholes, reproduces the option's observed market price. It's not historical — it's the market's forward-looking opinion on how much the underlying will move.
IV is direction-agnostic. High IV says "the market expects a big move" — either up or down. Pair this calculator with your directional read; the size of the move it implies is the size you'd need to overcome to make a long-premium trade pay.
Raw IV in isolation is hard to interpret. SPY 12% looks low; TSLA 50% looks high — but SPY 12% IV during a vol crush is high, and TSLA 50% during earnings week is low. IV rank percentiles current IV against the last 252 days — that's the comparison that matters.
IV varies by strike (the smile/skew) and by expiration (term structure). This calculator solves one contract — to see the full surface across all strikes + all expirations, OptionsDeck's 3D vol surface visualizes the lot.