Bitcoin Price Forecast Using Quantitative Models

20 Pages Posted: 14 Jul 2021

See all articles by Daniele Bernardi

Daniele Bernardi

Diaman Partners Ltd

Ruggero Bertelli

University of Siena - Department of Economic Law

Date Written: March 21, 2021


Bitcoin was designed to grow in value indefinitely. The smallest quantity, known as a Satoshi, is equal to 0.00000001 of a Bitcoin. It’s obvious that its creator imagined a deflationary system for his creation, one that could help it reach ever increasing values.

In the moment that a Satoshi has grown to be worth a dollar, a Bitcoin will equal to $ 100,000,000 (one hundred million dollars!). This is the value that Mr. Satoshi Nakamoto had in mind for his own Bitcoin.

Why is it possible for Bitcoin to reach this value? What is the “fundamental value” of Bitcoin?

In this paper we aim to build a framework that permits to answer this question.

First step of our framework in based on “The value of scarcity”. The concept of scarcity is well present and known in Commodities, such as with Gold, Silver, Palladium or Platinum.

These precious materials are all the more precious the more scarce their production is.

In fact, there is a mathematical model known as Stock to Flow, that estimates price based on the quantity already present in the world (Stock) with the quantity that is extracted every year (Flow).

Second step is explaining the “bubbles” (or the “waves”, considering Shiller’s narrative environment) in a fundamental picture based on the “halving rule”.

Third step is the determinants of the Bitcoin demand and price. The “rate of adoption” model.

Fourth step is the “cost and revenues of production” model based on mining process, and the hash rate. The supply chain of bitcoin model is built to create price growth.

Keywords: Bitcoin, Crypto, Blockchain, Adoption, Forecast, prediction, analysis, Cryptoassets, Cryptocurrencies, Diaman, PHItoken

Suggested Citation

Bernardi, Daniele and Bertelli, Ruggero, Bitcoin Price Forecast Using Quantitative Models (March 21, 2021). Available at SSRN: or

Daniele Bernardi (Contact Author)

Diaman Partners Ltd ( email )


Ruggero Bertelli

University of Siena - Department of Economic Law ( email )

Piazza San Francesco

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