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Collective Dynamics, Diversification and Optimal Portfolio Construction for Cryptocurrencies.

Nick James¹, Max Menzies²

¹School of Mathematics and Statistics, University of Melbourne, Victoria 3010, Australia.

Entropy (Basel, Switzerland)

|June 28, 2023

Summary

The cryptocurrency market shows emerging maturity, with correlations spiking during exchange collapses. Researchers identified an optimal portfolio size and spread for diversification, contrasting it with the established equity market.

Keywords:

collective dynamics cryptocurrencies portfolio optimization time series analysis

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Area of Science:

Financial Markets
Behavioral Finance
Quantitative Finance

Background:

The cryptocurrency market is often deemed immature, exhibiting high volatility and speculative behavior.
Previous research on equity markets revealed crisis-driven collective strength and diversification benefits.
Understanding cryptocurrency market dynamics is crucial for portfolio diversification and risk management.

Purpose of the Study:

To investigate if the cryptocurrency market exhibits mathematical properties similar to the equity market.
To analyze collective dynamics and diversification benefits within the cryptocurrency market.
To contrast cryptocurrency market maturity signatures with those of the established equity market.

Main Methods:

Utilizing mathematical properties and collective dynamics analysis, moving beyond traditional portfolio theory.
Focusing on the behavioral purchasing patterns of retail cryptocurrency investors.
Comparing cryptocurrency market behavior to established equity market dynamics.

Main Results:

The cryptocurrency market displays nuanced signatures of maturity when compared to the equity market.
Correlations within the cryptocurrency market collectively spike around exchange collapses.
An ideal portfolio size and diversification spread across different cryptocurrency groups were identified.

Conclusions:

The cryptocurrency market is exhibiting signs of increasing maturity, albeit with unique characteristics.
Understanding investor behavior and market events like exchange collapses is key to analyzing crypto market dynamics.
The findings offer insights into optimal portfolio construction for cryptocurrency investments.