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Financial Econometrics · Crypto Markets

High-Dimensional Canonical Volatility Transmission in Crypto-Integrated Financial Markets

Evidence from Brazilian crypto ETFs, stablecoins, DeFi liquidity, AI-compute assets, and global macro stress.

Working Paper · Forthcoming
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This paper treats crypto volatility as a multi-channel transmission problem rather than a single-factor phenomenon. Brazilian crypto ETFs provide the target market, while global crypto, stablecoin liquidity, DeFi leverage, Brazilian macro fragility, global stress, safe-haven rotation, AI tokens, and AI equities form the external information blocks. The objective is to identify which latent transmission channels matter under different market states and how those channels enter both long-run and short-run volatility.

Research question

Which economically meaningful high-dimensional shock factors govern volatility in regulated Brazilian crypto ETFs, and how does that transmission change across market regimes?

Method

The HD-DCF-MTV-GARCH architecture extracts rolling Ridge-CCA canonical factors from eight predictor blocks and embeds them in a multivariate time-varying GARCH system. A Gaussian hidden Markov model identifies market regimes, while Pagan-style generated-regressor corrections and Monte Carlo experiments test whether canonical-factor significance survives first-stage estimation uncertainty.

Main findings

System size

56 variables

The empirical system spans 11 Brazilian crypto ETFs and 56 variables organized across eight economically distinct predictor blocks over 1,281 B3 trading days.

Dominant stress regime

11 days

The dominant non-calm regime is DeFi Deleveraging: eleven acute cascade days with an average DeFi canonical-factor z-score of -4.82, corresponding to major liquidation episodes including Terra/LUNA, Celsius, and FTX.

Generated-regressor correction

17.3 → 0.97

For BLOK11, the naive LM statistic falls from 17.3 to 0.97 after the Pagan correction, eliminating spurious significance and showing how strongly first-stage uncertainty can distort inference.

ETH persistence

0.9992 → 0.967

ETH is near-integrated under the baseline GARCH specification. Adding the canonical-factor structure lowers persistence materially, indicating that DeFi and AI-token factors absorb variation a univariate model otherwise misclassifies as persistence.

Why it matters

The paper's main contribution is attribution under dimensionality. It separates multiple economically distinct transmission channels instead of forcing crypto volatility into one narrative, while also showing that generated-factor inference can be badly misleading without correction. The result is a framework that connects high-dimensional dependence, regime classification, and volatility transmission inside one inspectable architecture.

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