Bitcoin (BTC) is a cryptocurrency which is regarded as the world’s first decentralized digital currency. It was created by a pseudonymous person or persons named Satoshi Nakamoto in 2009 and has since gone on to become the world’s most popular cryptocurrency by market cap. Bitcoin is a deflationary currency whose issuance is capped at a total supply of 21 million coins. Each Bitcoin can be divided into one million units, with the smallest unit of 0.00000001 known as a satoshi in homage to its creator. The distributed public ledger that Bitcoin uses to record transactions is known as a blockchain and Bitcoin can be spent at over 100,000 online merchants and can also be held as an investment. Bitcoin is traded for fiat and other cryptocurrencies on various exchanges but can also be used to facilitate p2p transactions. Each transaction incurs a small transaction fee to cover the cost of sending Bitcoin over the blockchain ledger, with the fee going to miners tasked with keeping the network secure.
In January 2012, bitcoin was featured as the main subject within a fictionalized trial on the CBS legal drama The Good Wife in the third-season episode "Bitcoin for Dummies". The host of CNBC's Mad Money, Jim Cramer, played himself in a courtroom scene where he testifies that he doesn't consider bitcoin a true currency, saying "There's no central bank to regulate it; it's digital and functions completely peer to peer".
The simplest way to approach the model would be to look at the current worldwide value of all mediums of exchange and of all stores of value comparable to bitcoin, and calculate the value of bitcoin's projected percentage. The predominant medium of exchange is government backed money, and for our model we will focus solely on them. The money supply is often thought of as broken into different buckets, M0, M1, M2, and M3. M0 refers to currency in circulation. M1 is M0 plus demand deposits like checking accounts. M2 is M1 plus savings accounts and small time deposits (known as certificates of deposit in the US). M3 is M2 plus large time deposits and money market funds. Since M0 and M1 are readily accessible for use in commerce, we will consider these two buckets as medium of exchange, whereas M2 and M3 will be considered as money being used as a store of value.
On 1 August 2017, a hard fork of bitcoin was created, known as Bitcoin Cash. Bitcoin Cash has a larger block size limit and had an identical blockchain at the time of fork. On 24 October 2017 another hard fork, Bitcoin Gold, was created. Bitcoin Gold changes the proof-of-work algorithm used in mining, as the developers felt that mining had become too specialized.
Recall that unique addresses are a proxy for the number of users, because they indicate how many non-zero Bitcoin addresses are in use. This metric has its strengths and weaknesses, which I wrote about here. Also, I have reviewed several other pricing methods which attempt to do the same thing using Metcalfe's Law. You can find those here and here.