A Quantum Model of Implied Volatility
Orrell D (2024) A quantum model of implied volatility. Wilmott 2024(131).
10 Pages Posted: 21 Mar 2024
Date Written: February 21, 2024
Abstract
The quantum implied volatility (QIV) model is a minimalistic model of an implied volatility surface. It is derived by assuming that the implied volatility is the volatility which, when used as input to the Black-Scholes model, will produce the correct option price under a previously-derived quantum model of asset price. In its base form, the model uses only two parameters to simulate a volatility surface over different strikes and expirations. Results can be improved by adding additional parameters such as a drift term. The method is illustrated using data from the S&P 500 index, as well as individual stocks.
Keywords: financial options, implied volatility, stock markets, quantum economics, quantum finance
JEL Classification: G10, G12
Suggested Citation: Suggested Citation