Implied volatility calculator

Implied volatility is the volatility that, plugged into Black–Scholes, reproduces the option’s market price. It is how options are compared across strikes and expiries.

Implied volatility

26.99%

Delta at implied vol: -0.3598
Vega at implied vol: 0.1312

1. 核心數學公式與定價恆等式

Find σ such that BlackScholes(S, K, T, r, q, σ) = market price

2. 參數輸入指南與使用方法

Enter the option’s market price and the same inputs as the Black–Scholes calculator, without volatility.

The solver searches between 0.01% and 500% volatility until the model price matches.

3. 模型審慎假設與適用邊界限制

If the price is below intrinsic value or above the no-arbitrage upper bound, no volatility can match it and the result is shown as unavailable.
Use mid prices; bid or ask alone will bias the result.

4. 常見問題與量化風控解答（FAQ）

Why do different strikes give different implied volatilities?

Because markets price in fatter tails and skew than the model assumes. Plotting IV against strike gives the volatility smile; adding expiries gives the surface.

如何在機構風控工作流中驗證「Implied volatility calculator」的計算結果？

VolSurface Desk 在本頁完整列出了該工具的閉式數學公式與計息基準假設。風控與合規團隊可將相同參數代入 Python/Pandas 或終端風控閘道進行獨立複核，並透過 VolSurface Desk 牌照核驗中心確認交易對手方的監管授權狀態。

免責聲明：本工具僅供金融工程研究與教育用途，不構成任何投資或交易建議。計算結果完全取決於您輸入的參數及上述模型假設，重要財務決策前請獨立核實。