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.
Computing power is often bundled together or "pooled" to reduce variance in miner income. Individual mining rigs often have to wait for long periods to confirm a block of transactions and receive payment. In a pool, all participating miners get paid every time a participating server solves a block. This payment depends on the amount of work an individual miner contributed to help find that block.[82]
In January 2009, the bitcoin network was created when Nakamoto mined the first block of the chain, known as the genesis block.[18][19] Embedded in the coinbase of this block was the following text: "The Times 03/Jan/2009 Chancellor on brink of second bailout for banks."[10] This note has been interpreted as both a timestamp and a comment on the instability caused by fractional-reserve banking.[20]:18
In the early days, Nakamoto is estimated to have mined 1 million bitcoins.[23] Before disappearing from any involvement in bitcoin, Nakamoto in a sense handed over the reins to developer Gavin Andresen, who then became the bitcoin lead developer at the Bitcoin Foundation, the 'anarchic' bitcoin community's closest thing to an official public face.[24]
Bitcoin continued to decline during early 2018, before eventually stabilizing at around $7,000 per coin. It has remained in the $6,000 to $7,000 range since June, and the volatility that characterised the market in 2017 and early 2018 has all but evaporated. On its 10-year anniversary, bitcoin is trading at $6,305 per coin, according to Markets Insider.
^ Jump up to: a b c d Joshua A. Kroll; Ian C. Davey; Edward W. Felten (11–12 June 2013). "The Economics of Bitcoin Mining, or Bitcoin in the Presence of Adversaries" (PDF). The Twelfth Workshop on the Economics of Information Security (WEIS 2013). Archived (PDF) from the original on 9 May 2016. Retrieved 26 April 2016. A transaction fee is like a tip or gratuity left for the miner.
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That low point in unique addresses is a point where Bitcoin was hovering around $6,900 USD back around April 11, 2018. Using the seven-day average of the number of unique addresses (which smoothes out low points caused by low volume on the weekends), you can see that growth has returned since April to this underlying fundamental. The price today is lower, but the number of users appears to be growing again, and this time the network can support more transactions than before due to the rise of Segwit Adoption. If I had to guess I would say Bitcoin could now handle 50% to 100% more transactions per second than when we had the last peak in December/January.
That crash was made up for by a rally in October and November of that year. By early October, Bitcoin was at about $100, and it hit $195 by the end of the month. In November alone, Bitcoin had an unbelievable rally, going from $200 to more than $1,120. The causes of this rally were fairly obvious to most people, as more miners and exchanges were supporting Bitcoin. In addition, China had entered the marketplace.

Bitcoin is the first cryptocurrency, a concept that was discussed in the late 90s. The first Bitcoin specification and proof of concept was published in 2009 in a cryptography mailing list. The concept was presented by a person or group known as Satoshi Nakamoto. The real identity of Nakamoto has been a mystery since that time, with various theories on who the individual or group may be. 

By 2017, Bitcoin dominance had plummeted from 95% to as low as 40% as a direct result of the usability problems. Fortunately, a large portion of the Bitcoin community, including developers, investors, users, and businesses, still believed in the original vision of Bitcoin -- a low fee, peer to peer electronic cash system that could be used by all the people of the world.

By December, Bitcoin was on track to hit its all-time high thanks to a dramatic and steady increase in price. On Dec. 17, 2017, it reached $19,783.21, the all-time high that has yet to be broken. Unfortunately, that high was followed by a drop of about 30 percent, with a market correction that brought it down to under $11,000. The price did recover, reaching $16,000 again on Dec. 27.

This is a rather simple long term model.  And perhaps the biggest question it hinges on is how much adoption will bitcoin achieve?  Coming up with a value for the current price of bitcoin would involve pricing in the risk of low adoption or failure of bitcoin as a currency, which could include being displaced by one or more other digital currencies.  Models often consider the velocity of money, frequently arguing that since bitcoin can support transfers that take less than an hour, the velocity of money in the future bitcoin ecosystem will be higher than the current average velocity of money.  Another view on this though would be that velocity of money is not restricted by today's payment rails in any significant way and that its main determinant is the need or willingness of people to transact.  Therefore, the projected velocity of money could be treated as roughly equal to its current value.
Investigations into the real identity of Satoshi Nakamoto were attempted by The New Yorker and Fast Company. The New Yorker's investigation brought up at least two possible candidates: Michael Clear and Vili Lehdonvirta. Fast Company's investigation brought up circumstantial evidence linking an encryption patent application filed by Neal King, Vladimir Oksman and Charles Bry on 15 August 2008, and the domain name which was registered 72 hours later. The patent application (#20100042841) contained networking and encryption technologies similar to bitcoin's, and textual analysis revealed that the phrase "... computationally impractical to reverse" appeared in both the patent application and bitcoin's whitepaper.[11] All three inventors explicitly denied being Satoshi Nakamoto.[31][32]
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Bitcoin is an increasingly popular cryptocurrency that utilizes blockchain technology to facilitate transactions. Basically, a user obtains a Bitcoin wallet that can be used for storing bitcoins and both sending and receiving of payments. The blockchain technology used by Bitcoin is really just a shared public ledger that is used by the entire public network. The technology used is secured through cryptography, a branch of mathematics that provides a highly secure means of facilitating and recording transactions on the network.
No one knows. Not conclusively, at any rate. Satoshi Nakamoto is the name associated with the person or group of people who released the original Bitcoin white paper in 2008 and worked on the original Bitcoin software that was released in 2009. The Bitcoin protocol requires users to enter a birthday upon signup, and we know that an individual named Satoshi Nakamoto registered and put down April 5 as a birth date. And that's about it.
The Bank for International Settlements summarized several criticisms of bitcoin in Chapter V of their 2018 annual report. The criticisms include the lack of stability in bitcoin's price, the high energy consumption, high and variable transactions costs, the poor security and fraud at cryptocurrency exchanges, vulnerability to debasement (from forking), and the influence of miners.[187][188][189]
Transactions are defined using a Forth-like scripting language.[3]:ch. 5 Transactions consist of one or more inputs and one or more outputs. When a user sends bitcoins, the user designates each address and the amount of bitcoin being sent to that address in an output. To prevent double spending, each input must refer to a previous unspent output in the blockchain.[67] The use of multiple inputs corresponds to the use of multiple coins in a cash transaction. Since transactions can have multiple outputs, users can send bitcoins to multiple recipients in one transaction. As in a cash transaction, the sum of inputs (coins used to pay) can exceed the intended sum of payments. In such a case, an additional output is used, returning the change back to the payer.[67] Any input satoshis not accounted for in the transaction outputs become the transaction fee.[67]
Bitcoin is a new currency that was created in 2009 by an unknown person using the alias Satoshi Nakamoto. Transactions are made with no middle men – meaning, no banks! Bitcoin can be used to book hotels on Expedia, shop for furniture on Overstock and buy Xbox games. But much of the hype is about getting rich by trading it. The price of bitcoin skyrocketed into the thousands in 2017.
Though transaction fees are optional, miners can choose which transactions to process and prioritize those that pay higher fees.[67] Miners may choose transactions based on the fee paid relative to their storage size, not the absolute amount of money paid as a fee. These fees are generally measured in satoshis per byte (sat/b). The size of transactions is dependent on the number of inputs used to create the transaction, and the number of outputs.[3]:ch. 8
After Bitcoin nearly reached $20,000, it was not able to maintain those figures. January did see a high of over $17,500 around the 7th, but this was short-lived and followed by a steady drop. By the end of January 2018, Bitcoin was at just over $10,000. By Feb. 5, it was under $7,000. It rallied again, getting over $11,000 in early March, but this was followed by a drop back below $7,000. The largest recent high for Bitcoin was in early May, when it was above $9,500. By late June, it was under $6,000. Following a rise to more than $8,000 in late July, Bitcoin has remained around $6,000 to $6,500, other than a brief spike up over $7,300 in September.
In the blockchain, bitcoins are registered to bitcoin addresses. Creating a bitcoin address requires nothing more than picking a random valid private key and computing the corresponding bitcoin address. This computation can be done in a split second. But the reverse, computing the private key of a given bitcoin address, is mathematically unfeasible. Users can tell others or make public a bitcoin address without compromising its corresponding private key. Moreover, the number of valid private keys is so vast that it is extremely unlikely someone will compute a key-pair that is already in use and has funds. The vast number of valid private keys makes it unfeasible that brute force could be used to compromise a private key. To be able to spend their bitcoins, the owner must know the corresponding private key and digitally sign the transaction. The network verifies the signature using the public key.[3]:ch. 5
On 5 December 2013, the People's Bank of China announced in a press release regarding bitcoin regulation that whilst individuals in China are permitted to freely trade and exchange bitcoins as a commodity, it is prohibited for Chinese financial banks to operate using bitcoins or for bitcoins to be used as legal tender currency, and that entities dealing with bitcoins must track and report suspicious activity to prevent money laundering.[227] The value of bitcoin dropped on various exchanges between 11 and 20 percent following the regulation announcement, before rebounding upward again.[228]
The use of bitcoin by criminals has attracted the attention of financial regulators, legislative bodies, law enforcement, and the media.[220] In the United States, the FBI prepared an intelligence assessment,[221] the SEC issued a pointed warning about investment schemes using virtual currencies,[220] and the U.S. Senate held a hearing on virtual currencies in November 2013.[222] The U.S. government claimed that bitcoin was used to facilitate payments related to Russian interference in the 2016 United States elections.[223]

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