Revisiting the Excess Volatility Puzzle Through the Lens of the Chiarella Model

Fuente: arXiv
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Autores principales: Kurth, Jutta G., Majewski, Adam A., Bouchaud, Jean-Philippe
Formato: Preprint
Publicado: 2025
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author Kurth, Jutta G.
Majewski, Adam A.
Bouchaud, Jean-Philippe
author_facet Kurth, Jutta G.
Majewski, Adam A.
Bouchaud, Jean-Philippe
contents We amend and extend the Chiarella model of financial markets to deal with arbitrary long-term value drifts in a consistent way. This allows us to improve upon existing calibration schemes, opening the possibility of calibrating individual monthly time series instead of classes of time series. The technique is employed on spot prices of four asset classes from ca. 1800 onward (stock indices, bonds, commodities, currencies). The so-called fundamental value is a direct output of the calibration, which allows us to (a) quantify the amount of excess volatility in these markets, which we find to be large (e.g. a factor $\approx$ 4 for stock indices) and consistent with previous estimates; and (b) determine the distribution of mispricings (i.e. the difference between market price and value), which we find in many cases to be bimodal. Both findings are strongly at odds with the Efficient Market Hypothesis. We also study in detail the 'sloppiness' of the calibration, that is, the directions in parameter space that are weakly constrained by data. The main conclusions of our study are remarkably consistent across different asset classes, and reinforce the hypothesis that the medium-term fate of financial markets is determined by a tug-of-war between trend followers and fundamentalists.
format Preprint
id arxiv_https___arxiv_org_abs_2505_07820
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Revisiting the Excess Volatility Puzzle Through the Lens of the Chiarella Model
Kurth, Jutta G.
Majewski, Adam A.
Bouchaud, Jean-Philippe
Trading and Market Microstructure
General Economics
Economics
Portfolio Management
We amend and extend the Chiarella model of financial markets to deal with arbitrary long-term value drifts in a consistent way. This allows us to improve upon existing calibration schemes, opening the possibility of calibrating individual monthly time series instead of classes of time series. The technique is employed on spot prices of four asset classes from ca. 1800 onward (stock indices, bonds, commodities, currencies). The so-called fundamental value is a direct output of the calibration, which allows us to (a) quantify the amount of excess volatility in these markets, which we find to be large (e.g. a factor $\approx$ 4 for stock indices) and consistent with previous estimates; and (b) determine the distribution of mispricings (i.e. the difference between market price and value), which we find in many cases to be bimodal. Both findings are strongly at odds with the Efficient Market Hypothesis. We also study in detail the 'sloppiness' of the calibration, that is, the directions in parameter space that are weakly constrained by data. The main conclusions of our study are remarkably consistent across different asset classes, and reinforce the hypothesis that the medium-term fate of financial markets is determined by a tug-of-war between trend followers and fundamentalists.
title Revisiting the Excess Volatility Puzzle Through the Lens of the Chiarella Model
topic Trading and Market Microstructure
General Economics
Economics
Portfolio Management
url https://arxiv.org/abs/2505.07820