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Monetary theory

Advanced monetary theory applied to Bitcoin


“Money is the most marketable economic good; Bitcoin is its flawless digital version.” — Rafael Meruane


1. Introduction

To understand the economic meaning of Bitcoin we must analyze it not as isolated software, but as a monetary asset with unique properties:

  • unalterable scarcity

  • fully predictable monetary policy

  • mathematical verifiability

  • non-dependence on institutions

  • extreme divisibility

  • instant portability

  • global political neutrality

This chapter links Bitcoin with:

  • classical and Austrian monetary theory

  • macroeconomic models

  • function of money

  • business cycles

  • digital scarcity

  • quantitative models

and contextualizes how Bitcoin alters the history of money.


2. What is money? Academic synthesis

Economists agree that money fulfills three main functions:

Function
Definition
Does Bitcoin fulfill it?

Medium of exchange

Facilitates trade

Partially, grows with Lightning

Unit of account

Measures prices

Still emerging

Store of value

Maintains purchasing power

Strong, due to scarcity

The Austrian School adds moreover:

  1. Good of greater liquidity,

  2. Mechanism for economic calculation,

  3. Vehicle for temporal transmission of value.

Bitcoin fits especially in 3, 4, 5 and 6.


3. Austrian theory of money applied to Bitcoin

The key contributions:

  • Menger (1892): spontaneous origin of money

  • Mises (1912): regressive theorem of money

  • Hayek (1976): denationalization of money

  • Rothbard (1962): critique of fiat

3.1. The regressive theorem applied to Bitcoin

The theorem says that an object can only be money if it previously had non-monetary value.

Critics say that Bitcoin would violate this. But the refutation is clear:

  • Bitcoin had initial value as a scarce digital good useful for censorship resistance and sending value without intermediaries.

  • That use value preceded the exchange value.

Therefore, Bitcoin respects the theorem under a modern interpretation of “non-monetary value” as digital utility.


4. Quantity theory of money applied to Bitcoin

The classical equation:

MV=PQMV = PQ

Where:

  • MM: money supply (fixed and predictable in Bitcoin)

  • VV: velocity of money

  • PP: price level

  • QQ: real output

4.1. Implications for Bitcoin

Given that:

M=constante y decreciente en crecimientoM = \text{constante y decreciente en crecimiento}

and in fiat:

MfiatM_{fiat} \rightarrow \infty

The Bitcoin system behaves like hard money (hard money), while fiat is soft money (soft money).


5. Inflation rate and halving: mathematical model

The supply of Bitcoin is:

S(t)=i=0n502iS(t) = \sum_{i=0}^{n} 50 \cdot 2^{-i}

The halving occurs every 210,000 blocks (~4 years).

Approximate annual inflation:

inflacioˊn(t)nuevos BTCBTC en circulacioˊn\text{inflación}(t) \approx \frac{\text{nuevos BTC}}{\text{BTC en circulación}}

Converging towards:

limtinflacioˊn(t)=0\lim_{t \to \infty} \text{inflación}(t) = 0

The only monetary asset with inflation strictly converging to zero.


6. Monetary hardness and stock-to-flow

The Stock-to-Flow (S2F) model compares scarcity among monetary assets:

S2F=Stock existenteFlujo anualS2F = \frac{\text{Stock existente}}{\text{Flujo anual}}

Bitcoin (post-halving) surpasses:

  • gold

  • silver

  • platinum

  • collectibles

Conceptual table:

Asset
S2F

Silver

10

Gold

55

Bitcoin (2024+)

115+

This places it in the category of “digital super-gold”.


7. Bitcoin as an emerging asset: 3-stage transition

  1. Digital collectible (2009–2012)

    • experimental value

    • cypherpunk adoption

  2. Speculative asset (2013–2020)

    • growth of exchanges

    • macro speculation

    • correlation with risk

  3. Monetary asset (2021–present)

    • corporate treasuries

    • institutional ETFs

    • “store of value” narrative


8. Volatility: characteristic of monetization

Volatility is common in assets that are monetizing, not in established monetary assets.

Historically:

  • gold → extremely volatile at the beginning

  • fiat → unstable in implementation

  • oil → initial volatility due to global adoption

Volatility = function of adoption ± liquidity ± expectations.

Bitcoin reduces its volatility as:

  • monetary mass stabilizes

  • adoption grows

  • long-term participants increase

  • professional derivatives mature


9. Systemic risk: Bitcoin vs fiat

9.1. Fiat (state money)

  • endogenous inflation

  • dependence on the central bank

  • financial bailouts

  • political risk

  • banking risk

  • risk of confiscation

9.2. Bitcoin (sovereign digital money)

  • immutable scarcity

  • self-custody

  • no direct political risk

  • no banking risk

  • decentralization of issuance

  • rules verifiable by the user


10. Bitcoin and business cycle theory

The Austrian School (Mises–Hayek) argues that cycles are created by:

  • artificial expansion of credit

  • manipulated interest rates

  • fractional reserves

  • bad allocations of capital (malinvestment)

Bitcoin mitigates this:

  • there is no central bank

  • there is no rate manipulation

  • there is no money printing

  • automatic monetary policy


11. Intrinsic value: academic debate

Many economists say that Bitcoin “has no intrinsic value”. This is incorrect under a modern view.

Bitcoin has intrinsic value because it offers:

  • verifiable scarcity

  • censorship resistance

  • immutability

  • global permissionless transfer

  • sovereign ownership

  • energy security

  • political neutrality

These are attributes with economic value, though not physical.


12. Bitcoin as neutral international money

In the past:

  • gold was neutral

  • the dollar is NOT neutral (it is geopolitical)

  • Bitcoin recovers neutrality with additional attributes

Bitcoin does not belong to any country, which makes it:

the first geopolitically impartial currency in history.


13. Quantitative valuation models

13.1. Metcalfe model

ValorN2\text{Valor} \propto N^2

Bitcoin behaves like a network, not like a traditional commodity.


13.2. Cash flow models for miners

Ganancia=(Recompensa+Fees)(Coste energeˊtico)\text{Ganancia} = (\text{Recompensa} + \text{Fees}) - (\text{Coste energético})

Mining creates a minimum fundamental value, since:

  • if price falls below energy cost

  • miners shut down

  • hashrate falls

  • difficulty decreases

  • security restores equilibrium

It is a homeostatic.


13.3. Store-of-value-based models

Similar to gold:

ValorBTCValor total de activos refugioOferta BTCValor_{BTC} \approx \frac{\text{Valor total de activos refugio}}{\text{Oferta BTC}}


14. Bitcoin against inflation

Bitcoin protects against inflation in two ways:

(1) Strict supply

ΔMBTC=0\Delta M_{BTC} = 0

for the long term.

(2) Incentive to save

Hard money → low time preference.

Macroeconomic effect:

  • savings ↑

  • solid capital investment ↑

  • unproductive speculation ↓

  • rational resource allocation ↑


15. Bitcoin and velocity of money

Velocity in Bitcoin is low because:

  • users prefer to hold it (store of value)

  • liquidity does not depend on the government

  • supply does not increase to compensate low velocity

This does not prevent its monetary function; on the contrary:

Strong money → low velocity → high accumulation of value.


16. Macroeconomic risks

  • regulatory shocks (less impact in the long term)

  • speculative cycles

  • correlation with risky assets while monetizing

  • repricing in response to geopolitical events

But all these risks diminish over time.


17. Chapter conclusion

Bitcoin combines:

  • classical monetary theory,

  • Austrian principles,

  • modern economic incentives,

  • digital scarcity,

  • global neutrality,

  • mathematical verifiability.

All this makes it:

the most advanced form of money ever created and a potential post-fiat global monetary standard.


Bitcoin does not compete with cryptocurrencies. It competes with gold, sovereign bonds and the global monetary system itself.


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