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?"
If fewer people begin to accept Bitcoin as a currency, these digital units may lose value and could become worthless. There is already plenty of competition, and though Bitcoin has a huge lead over the other 100-odd digital currencies that have sprung up, thanks to its brand recognition and venture capital money, a technological break-through in the form of a better virtual coin is always a threat.
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.
Full clients verify transactions directly by downloading a full copy of the blockchain (over 150 GB As of January 2018).[90] They are the most secure and reliable way of using the network, as trust in external parties is not required. Full clients check the validity of mined blocks, preventing them from transacting on a chain that breaks or alters network rules.[91] Because of its size and complexity, downloading and verifying the entire blockchain is not suitable for all computing devices. 

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?"
Unfortunately, these new highs for Bitcoin were so far from the past figures that the price was very volatile. The volatility was fueled by rumors of poor security on Mt. Gox exchange, which was part of about 70 percent of Bitcoin transactions of the time. This was likely a contributing factor in the drop of Bitcoin’s price from $1,230 on Dec. 4, 2013, to $750 by Dec. 7.
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 transaction involving Bitcoin occurred between an early adopter and Nakamoto in January 2009. The first transaction in the real world is the notorious instance when a Bitcoin miner chose to buy pizza from Papa John’s. He famously spent 10,000 Bitcoins to buy two pizzas in 2010 in Florida. That transaction alone perfectly shows the dramatic change in value that Bitcoin has experienced over the years.
The proof-of-work system, alongside the chaining of blocks, makes modifications of the blockchain extremely hard, as an attacker must modify all subsequent blocks in order for the modifications of one block to be accepted.[81] As new blocks are mined all the time, the difficulty of modifying a block increases as time passes and the number of subsequent blocks (also called confirmations of the given block) increases.[64]
In late August 2012, an operation titled Bitcoin Savings and Trust was shut down by the owner, leaving around US$5.6 million in bitcoin-based debts; this led to allegations that the operation was a Ponzi scheme.[197][198][199][200] In September 2012, the U.S. Securities and Exchange Commission had reportedly started an investigation on the case.[201]
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.
Our first assumption is that bitcoin will derive its value both from its use as a medium of exchange and as a store of value.  As a footnote to this assumption, it should be stated that bitcoin's utility as a store of value is dependent on its utility as a medium of exchange.  We base this in turn on the assumption that for something to be used as a store of value it needs to have some intrinsic value, and if bitcoin does not achieve success as a medium of exchange, it will have no practical utility and thus no intrinsic value and won't be appealing as a store of value.    
Bitcoin’s first mover advantage, popularity, and network effect has cemented it as the most popular cryptocurrency with the largest market cap. Rivals like Litecoin may have numerous technical advantages over Bitcoin’s algorithm (see more about that here), but they only hold a fraction of Bitcoin’s market cap and their dwindling communities largely consist of loyalists, speculators, and antagonistic anti-Bitcoin buyers.
Bitcoin mining operations take a lot of effort and power, and the sheer amount of competition makes it difficult for newcomers to enter the race and profit. A new miner would not only need to have adequate computing power and the knowledge to use it to outcompete the competition, but would also need the extensive amount of capital necessary to fund the operations.

In December, 2013, Techcrunch published an interview with researcher Skye Grey who claimed textual analysis of published writings shows a link between Satoshi and bit-gold creator Nick Szabo. And perhaps most famously, in March 2014, Newsweek ran a cover article claiming that Satoshi is actually an individual named Satoshi Nakamoto – a 64-year-old Japanese-American engineer living in California. The list of suspects is long, and all the individuals deny being Satoshi.

According to The New York Times, libertarians and anarchists were attracted to the idea. Early bitcoin supporter Roger Ver said: "At first, almost everyone who got involved did so for philosophical reasons. We saw bitcoin as a great idea, as a way to separate money from the state."[119] The Economist describes bitcoin as "a techno-anarchist project to create an online version of cash, a way for people to transact without the possibility of interference from malicious governments or banks".[122]

Although there are no guarantees that Bitcoin will continue to rise in value, the future does look bright for this exciting cryptocurrency. Unlike leveraged instruments, you can rest assured that your exposure to Bitcoin is limited to what you pay for it. (This does not apply to Bitcoin or other cryptocurrency derivatives that may be leveraged or shorted).
Transactions are verified by network nodes through cryptography and recorded in a public distributed ledger called a blockchain. Bitcoin was invented by an unknown person or group of people using the name Satoshi Nakamoto[9] and released as open-source software in 2009.[10] Bitcoins are created as a reward for a process known as mining. They can be exchanged for other currencies,[11] products, and services. Research produced by the University of Cambridge estimates that in 2017, there were 2.9 to 5.8 million unique users using a cryptocurrency wallet, most of them using bitcoin.[12]
Bitcoin is a type of cryptocurrency: Balances are kept using public and private "keys," which are long strings of numbers and letters linked through the mathematical encryption algorithm that was used to create them. The public key (comparable to a bank account number) serves as the address which is published to the world and to which others may send bitcoins. The private key (comparable to an ATM PIN) is meant to be a guarded secret, and only used to authorize Bitcoin transmissions.
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]