A Unified Stochastic Volatility - Stochastic Correlation Model

26 Pages Posted: 16 May 2020 Last revised: 27 Jul 2020

See all articles by Gunter A. Meissner

Gunter A. Meissner

University of Hawaii at Manoa - Shidler College of Business

Hong Sherwin

Date Written: April 20, 2020

Abstract

We propose a simple but rigorous stochastic volatility – stochastic correlation model, formulated as a pair of correlated CIRCEV and Jacobi processes. Our model proves to fit both marginal and joint distributions of implied volatility and correlation. When risk factors estimated from derivatives markets are accounted for, we show the model out-performance over GBM is substantial for index returns.

Keywords: Stochastic Volatility, Stochastic Correlation, CKLS, CEV, CIR, Jacobi

JEL Classification: C12, C32

Suggested Citation

Meissner, Gunter A. and Sherwin, Hong, A Unified Stochastic Volatility - Stochastic Correlation Model (April 20, 2020). Available at SSRN: https://ssrn.com/abstract=3581224 or http://dx.doi.org/10.2139/ssrn.3581224

Gunter A. Meissner

University of Hawaii at Manoa - Shidler College of Business ( email )

2404 Maile Way
Honolulu, HI 96822
United States

No contact information is available for Hong Sherwin

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