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.
Every 2,016 blocks (approximately 14 days at roughly 10 min per block), the difficulty target is adjusted based on the network's recent performance, with the aim of keeping the average time between new blocks at ten minutes. In this way the system automatically adapts to the total amount of mining power on the network.[3]:ch. 8 Between 1 March 2014 and 1 March 2015, the average number of nonces miners had to try before creating a new block increased from 16.4 quintillion to 200.5 quintillion.[80]
Bitcoin may react differently to inflation/deflation: Bitcoin differs significantly from fiat currencies, due to the fact that there is a limited number of bitcoins to be mined. Paper money, on the other hand, can be created at will out of thin air by central banks. Due to its limited supply, Bitcoin may potentially hold its value better than paper money, which can technically have an unlimited supply.
“These companies are using extraordinary amounts of electricity – typically thousands of times more electricity than an average residential customer would use,” a spokesperson for the New York State Department of Public Service told Wired. “The sheer amount of electricity being used is leading to higher costs for customers in small communities because of a limited supply of low-cost hydropower.”

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]
The very first major jump in Bitcoin price took place in July 2010. At this point, the value of Bitcoin went from about $0.0008 all the way up to $0.08, a truly dramatic increase in price. At this point and in the following year, very few exchanges supported trading of Bitcoin. There was also extremely limited liquidity at this time due to cryptocurrency still being relatively unknown. That meant that when the price started an increase in June 2011 from about $0.95, the approach was among the steepest recorded. Unfortunately, the drop also followed suit. By mid-June of that year, Bitcoin was up to $320, an all-time high. By November, it had declined 94 percent all the way to $20.
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

Bitcoin and other cryptocurrencies have been identified as economic bubbles by at least eight Nobel Memorial Prize in Economic Sciences laureates, including Robert Shiller,[191] Joseph Stiglitz,[192] and Richard Thaler.[193][13] Noted Keyensian economist Paul Krugman wrote in his New York Times column criticizing bitcoin, calling it a bubble and a fraud;[194] and professor Nouriel Roubini of New York University called bitcoin the "mother of all bubbles."[195] Central bankers, including former Federal Reserve Chairman Alan Greenspan,[196] investors such as Warren Buffett,[197][198] and George Soros[199] have stated similar views, as have business executives such as Jamie Dimon and Jack Ma.[200]

In November 2013, the University of Nicosia announced that it would be accepting bitcoin as payment for tuition fees, with the university's chief financial officer calling it the "gold of tomorrow".[85] During November 2013, the China-based bitcoin exchange BTC China overtook the Japan-based Mt. Gox and the Europe-based Bitstamp to become the largest bitcoin trading exchange by trade volume.[86]
In January 2014, Zynga[92] announced it was testing bitcoin for purchasing in-game assets in seven of its games. That same month, The D Las Vegas Casino Hotel and Golden Gate Hotel & Casino properties in downtown Las Vegas announced they would also begin accepting bitcoin, according to an article by USA Today. The article also stated the currency would be accepted in five locations, including the front desk and certain restaurants.[93] The network rate exceeded 10 petahash/sec.[94] TigerDirect[95] and[96] started accepting bitcoin.
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
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.

The bitcoin blockchain is a public ledger that records bitcoin transactions.[64] It is implemented as a chain of blocks, each block containing a hash of the previous block up to the genesis block[a] of the chain. A network of communicating nodes running bitcoin software maintains the blockchain.[30]:215–219 Transactions of the form payer X sends Y bitcoins to payee Z are broadcast to this network using readily available software applications.

Regulatory Risk: Bitcoins are a rival to government currency and may be used for black market transactions, money laundering, illegal activities or tax evasion. As a result, governments may seek to regulate, restrict or ban the use and sale of bitcoins, and some already have. Others are coming up with various rules. For example, in 2015, the New York State Department of Financial Services finalized regulations that would require companies dealing with the buy, sell, transfer or storage of bitcoins to record the identity of customers, have a compliance officer and maintain capital reserves. The transactions worth $10,000 or more will have to be recorded and reported.
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 July 2013, a project began in Kenya linking bitcoin with M-Pesa, a popular mobile payments system, in an experiment designed to spur innovative payments in Africa.[71] During the same month the Foreign Exchange Administration and Policy Department in Thailand stated that bitcoin lacks any legal framework and would therefore be illegal, which effectively banned trading on bitcoin exchanges in the country.[72][73] According to Vitalik Buterin, a writer for Bitcoin Magazine, "bitcoin's fate in Thailand may give the electronic currency more credibility in some circles", but he was concerned it didn't bode well for bitcoin in China.[74]
Exchange hacks. As stated above, an exchange hack has nothing to do with the integrity of the Bitcoin system… but the market freaks out regardless. This trend seems to minimize as users see that cryptos recover from exchange hacks. As exchanges evolve and become more secure, this threat becomes less of an issue. Additionally, outside investments funneling into exchanges are providing the capital for them to grow stronger.

As mathematician George Box said, "All models are wrong, some are useful."  We have set out to construct a framework for pricing bitcoin but it is important to understand the variables.  From our thinking, it seems possible that bitcoin could eventually increase in price by orders of magnitude, but it all depends on bitcoin's level of adoption.  The most important question is "Will people use bitcoin?"
Bitcoin's origin story sounds like something out of science fiction: It was launched in 2008 on the heels of a white paper published by the mysterious Satoshi Nakamoto, whose real identity – and country of origin – are unknown. Nakamoto conceived of Bitcoin as a currency that was 1) encrypted; 2) decentralized, i.e. it was ungoverned and did not belong to any nation; and 3) a digital "distributed ledger," such that everyone can verify online the legitimacy of transactions.
In September 2015, the establishment of the peer-reviewed academic journal Ledger (ISSN 2379-5980) was announced. It covers studies of cryptocurrencies and related technologies, and is published by the University of Pittsburgh.[239] The journal encourages authors to digitally sign a file hash of submitted papers, which will then be timestamped into the bitcoin blockchain. Authors are also asked to include a personal bitcoin address in the first page of their papers.[240][241]
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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