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Coexistence of Physical and Crypto Assets in a Stochastic Endogenous Growth Model

Author

Listed:
  • Alexis Derviz
Abstract
We study a stochastic dynamic model with risky real investment and a positive long-term growth rate. With growing wealth, the economy gets clogged with increasing complexity costs (the classical "Leviathanian" inefficiencies in the form of implicit taxation and abuse of power, red tape, outlays on conflict resolution between special interest groups, etc.). To escape the Leviathan, agents can, in addition to the usual investment in physical capital, access the universe of crypto assets outside the reach of the mainstream state-supported economy. Crypto assets enjoy no legal protection, so converting them back into the real life consumption good is risky (due to digital criminality, hacking, regulatory crackdowns, etc.). A global ergodic solution is found for this model, demonstrating that crypto and conventional assets are capable of long-term coexistence, although the use of crypto assets, far from being universal, tends to be the choice of the wealthier part of the population.

Suggested Citation

  • Alexis Derviz, 2019. "Coexistence of Physical and Crypto Assets in a Stochastic Endogenous Growth Model," Working Papers 2019/7, Czech National Bank.
  • Handle: RePEc:cnb:wpaper:2019/7
    as

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    File URL: https://www.cnb.cz/export/sites/cnb/en/economic-research/.galleries/research_publications/cnb_wp/cnbwp_2019_07.pdf
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    References listed on IDEAS

    as
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    Cited by:

    1. Alexis Derviz, 2023. "Foreign Exchange Implications of CBDCs and Their Integration via Bridge Coins," Working Papers 2023/7, Czech National Bank.

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    More about this item

    Keywords

    Crypto assets; DSGE; ergodic distribution; full distribution solution; investment;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • D58 - Microeconomics - - General Equilibrium and Disequilibrium - - - Computable and Other Applied General Equilibrium Models
    • E02 - Macroeconomics and Monetary Economics - - General - - - Institutions and the Macroeconomy
    • E26 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Informal Economy; Underground Economy
    • G23 - Financial Economics - - Financial Institutions and Services - - - Non-bank Financial Institutions; Financial Instruments; Institutional Investors

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