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Random diffusion and leverage effect in financial markets

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We prove that Brownian market models with random diffusion coefficients provide an exact measure of the leverage effect [J-P. Bouchaud et al., Phys. Rev. Lett. 87, 228701 (2001)]. This empirical fact asserts that past returns are anticorrelated with future diffusion coefficient. Several models with random diffusion have been suggested but without a quantitative study of the leverage effect. Our analysis lets us to fully estimate all parameters involved and allows a deeper study of correlated random diffusion models that may have practical implications for many aspects of financial markets.

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PERELLÓ, Josep and MASOLIVER, Jaume. Random diffusion and leverage effect in financial markets. Physical Review E. 2003. Vol. 67, num. 3, pags. 037102-1-037102-4. ISSN 1063-651X. [consulted: 2 of July of 2026]. Available at: https://hdl.handle.net/2445/18870

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