Assessing the Credit Risk of Crypto-Assets Using Daily Range Volatility Models

Research report

TLDR

  • Range-based volatility forecasts are especially useful in short term volatility forecasting contexts and reasonably effective at longer time horizons. This paper utilizes range based approaches to forecast the likelihood of a token “dying” over a certain time horizon.

Key learnings

  • Range based volatility measures are especially effective for forecasting purposes as opposed to return based approaches in short-term volatility forecasting use cases and also long term default/credit risk models.

  • Infinite time horizon credit risk models for insolvency risk, broadly known as zero-price probability models (ZPPs) are well-suited to crypto applications, particularly for non-blue chip tokens.

Applicability to Concrete

  • Concrete utilizes a myriad of infinite time horizon default risk models, primarily a modified Cramer-Lundberg model, which falls under the class of broader ruin theory approaches. A broader ZPP approach seems to be better suited for our use case, given the infrequency of death/insolvency events.

  • This model remains highly academic and requires considerable engineering and data science resources for execution/implementation. Cramer-Lundberg models remain the Pareto optimal approach assessing infinite time horizon insolvency risks.

Methods and outputs

  • The proposed, and four other, models are tested at a range of time horizons, both over and under 30 days: a simple random walk, heterogeneous autoregressive, autoregressive fractionalized integrated moving average, and conditional autoregressive range models.

  • The above 4 models are themselves modified slightly. For example, the CARR model is modified with certain GARCH models. The models aim to forecast the probability of a coin “dying” according to various definitions presented in the paper. This is analogous to ruin theory models (page 13).

  • The Cauchit model is identified as the best model, particularly when using the professional rule that defines a dead coin as one whose value drops below 1 cent. The ZPP computed using an MS-GARCH(1,1) model remains the best model when employing the simple random walk (pages 14-16).

  • A table is provided that includes AUC, Brier scores, models included in the MCS, and numerical convergence failures for three different criteria to classify a coin as dead or alive.

Further reading

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