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.    

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.
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.
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
An official investigation into bitcoin traders was reported in May 2018.[175] The U.S. Justice Department launched an investigation into possible price manipulation, including the techniques of spoofing and wash trades.[176][177][178] Traders in the U.S., the U.K, South Korea, and possibly other countries are being investigated.[175] Brett Redfearn, head of the U.S. Securities and Exchange Commission's Division of Trading and Markets, had identified several manipulation techniques of concern in March 2018.
On 6 August 2010, a major vulnerability in the bitcoin protocol was spotted. Transactions weren't properly verified before they were included in the transaction log or blockchain, which let users bypass bitcoin's economic restrictions and create an indefinite number of bitcoins.[25][26] On 15 August, the vulnerability was exploited; over 184 billion bitcoins were generated in a transaction, and sent to two addresses on the network. Within hours, the transaction was spotted and erased from the transaction log after the bug was fixed and the network forked to an updated version of the bitcoin protocol.[27] This was the only major security flaw found and exploited in bitcoin's history.[25][26]
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]

In September 2012, Bitfloor, a bitcoin exchange, also reported being hacked, with 24,000 bitcoins (worth about US$250,000) stolen. As a result, Bitfloor suspended operations.[202][203] The same month, Bitfloor resumed operations; its founder said that he reported the theft to FBI, and that he plans to repay the victims, though the time frame for repayment is unclear.[204]

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]
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 Overstock.com[96] started accepting bitcoin.
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.
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.
In December 2013, Overstock.com[87] announced plans to accept bitcoin in the second half of 2014. On 5 December 2013, the People's Bank of China prohibited Chinese financial institutions from using bitcoins.[88] After the announcement, the value of bitcoins dropped,[89] and Baidu no longer accepted bitcoins for certain services.[90] Buying real-world goods with any virtual currency had been illegal in China since at least 2009.[91]
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.
Bitcoin is pseudonymous, meaning that funds are not tied to real-world entities but rather bitcoin addresses. Owners of bitcoin addresses are not explicitly identified, but all transactions on the blockchain are public. In addition, transactions can be linked to individuals and companies through "idioms of use" (e.g., transactions that spend coins from multiple inputs indicate that the inputs may have a common owner) and corroborating public transaction data with known information on owners of certain addresses.[111] Additionally, bitcoin exchanges, where bitcoins are traded for traditional currencies, may be required by law to collect personal information.[112]
The first wallet program, simply named Bitcoin, and sometimes referred to as the Satoshi client, was released in 2009 by Satoshi Nakamoto as open-source code.[10] In version 0.5 the client moved from the wxWidgets user interface toolkit to Qt, and the whole bundle was referred to as Bitcoin-Qt.[99] After the release of version 0.9, the software bundle was renamed Bitcoin Core to distinguish itself from the underlying network.[100][101]
To be accepted by the rest of the network, a new block must contain a so-called proof-of-work (PoW).[64] The system used is based on Adam Back's 1997 anti-spam scheme, Hashcash.[5][79] The PoW requires miners to find a number called a nonce, such that when the block content is hashed along with the nonce, the result is numerically smaller than the network's difficulty target.[3]:ch. 8 This proof is easy for any node in the network to verify, but extremely time-consuming to generate, as for a secure cryptographic hash, miners must try many different nonce values (usually the sequence of tested values is the ascending natural numbers: 0, 1, 2, 3, ...[3]:ch. 8) before meeting the difficulty target.
In 2014, researchers at the University of Kentucky found "robust evidence that computer programming enthusiasts and illegal activity drive interest in bitcoin, and find limited or no support for political and investment motives".[127] Australian researchers have estimated that 25% of all bitcoin users and 44% of all bitcoin transactions are associated with illegal activity as of April 2017. There were an estimated 24 million bitcoin users primarily using bitcoin for illegal activity. They held $8 billion worth of bitcoin, and made 36 million transactions valued at $72 billion.[227][228] A group of researches analyzed bitcoin transactions in 2016 and came to a conclusion that "some recent concerns regarding the use of bitcoin for illegal transactions at the present time might be overstated".[229]
Bitcoin is a digital currency created in 2009. It follows the ideas set out in a white paper by the mysterious Satoshi Nakamoto, whose true identity has yet to be verified. Bitcoin offers the promise of lower transaction fees than traditional online payment mechanisms and is operated by a decentralized authority, unlike government-issued currencies.
Bitcoins can be accepted as a means of payment for products sold or services provided. If you have a brick and mortar store, just display a sign saying “Bitcoin Accepted Here” and many of your customers may well take you up on it; the transactions can be handled with the requisite hardware terminal or wallet address through QR codes and touch screen apps. An online business can easily accept bitcoins by just adding this payment option to the others it offers, like credit cards, PayPal, etc. Online payments will require a Bitcoin merchant tool (an external processor like Coinbase or BitPay). 
The whole process is pretty simple and organized: Bitcoin holders are able to transfer bitcoins via a peer-to-peer network. These transfers are tracked on the “blockchain,” commonly referred to as a giant ledger. This ledger records every bitcoin transaction ever made. Each “block” in the blockchain is built up of a data structure based on encrypted Merkle Trees. This is particularly useful for detecting fraud or corrupted files. If a single file in a chain is corrupt or fraudulent, the blockchain prevents it from damaging the rest of the ledger.
Network nodes can validate transactions, add them to their copy of the ledger, and then broadcast these ledger additions to other nodes. To achieve independent verification of the chain of ownership each network node stores its own copy of the blockchain.[65] About every 10 minutes, a new group of accepted transactions, called a block, is created, added to the blockchain, and quickly published to all nodes, without requiring central oversight. This allows bitcoin software to determine when a particular bitcoin was spent, which is needed to prevent double-spending. A conventional ledger records the transfers of actual bills or promissory notes that exist apart from it, but the blockchain is the only place that bitcoins can be said to exist in the form of unspent outputs of transactions.[3]:ch. 5
Bitcoin (BTC) is known as the first open-source, peer-to-peer, digital cryptocurrency that was developed and released by a group of unknown independent programmers named Satoshi Nakamoto in 2008. Cryptocoin doesn’t have any centralized server used for its issuing, transactions and storing, as it uses a distributed network public database technology named blockchain, which requires an electronic signature and is supported by a proof-of-work protocol to provide the security and legitimacy of money transactions. The issuing of Bitcoin is done by users with mining capabilities and is limited to 21 million coins. Currently, Bitcoin’s market cap surpasses $138 billion and this is the most popular kind of digital currency. Buying and selling cryptocurrency is available through special Bitcoin exchange platforms or ATMs.

Behind the scenes, the Bitcoin network is sharing a massive public ledger called the "block chain". This ledger contains every transaction ever processed which enables a user's computer to verify the validity of each transaction. The authenticity of each transaction is protected by digital signatures corresponding to the sending addresses therefore allowing all users to have full control over sending bitcoins.
“So if you look at a $100 billion market cap today, now last week it might have been more like 200, so it’s actually a buying opportunity, we think that there’s a potential appreciation of 30 to 40 times because you look at the gold market today, it’s a $7 trillion market. And so a lot of people are starting to se that, they recognize the store of value properties.”
On 19 June 2011, a security breach of the Mt. Gox bitcoin exchange caused the nominal price of a bitcoin to fraudulently drop to one cent on the Mt. Gox exchange, after a hacker used credentials from a Mt. Gox auditor's compromised computer illegally to transfer a large number of bitcoins to himself. They used the exchange's software to sell them all nominally, creating a massive "ask" order at any price. Within minutes, the price reverted to its correct user-traded value.[186][187][188][189][190][191] Accounts with the equivalent of more than US$8,750,000 were affected.[188]

We will look at bitcoin as currency and bitcoin as a store of value.  In order to place a value on bitcoin we need to project what market penetration it will achieve in each sphere.  This article will not make a case for what the market penetration will be, but for the sake of the evaluation, we'll pick a rather arbitrary value of 15%, both for bitcoin as a currency and bitcoin as a store of value.  You are encouraged to form your own opinion for this projection and adjust the valuation accordingly.
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]

If the private key is lost, the bitcoin network will not recognize any other evidence of ownership;[30] the coins are then unusable, and effectively lost. For example, in 2013 one user claimed to have lost 7,500 bitcoins, worth $7.5 million at the time, when he accidentally discarded a hard drive containing his private key.[74] A backup of his key(s) would have prevented this.

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

Bitcoin can even be purchased as a long-term investment through a Bitcoin IRA. A Bitcoin IRA can provide the same profit potential and investment opportunity as a regular Bitcoin purchase, but it can do so with the added benefits of an IRA account. Some of the primary benefits of purchasing Bitcoin in an IRA include tax-deferred growth and a possible tax deduction. For more information on Bitcoin IRA accounts, visit cyrptoira.com. 

In March the bitcoin transaction log called the blockchain temporarily split into two independent chains with differing rules on how transactions were accepted. For six hours two bitcoin networks operated at the same time, each with its own version of the transaction history. The core developers called for a temporary halt to transactions, sparking a sharp sell-off.[55] Normal operation was restored when the majority of the network downgraded to version 0.7 of the bitcoin software.[55] The Mt. Gox exchange briefly halted bitcoin deposits and the exchange rate briefly dipped by 23% to $37 as the event occurred[56][57] before recovering to previous level of approximately $48 in the following hours.[58] In the US, the Financial Crimes Enforcement Network (FinCEN) established regulatory guidelines for "decentralized virtual currencies" such as bitcoin, classifying American bitcoin miners who sell their generated bitcoins as Money Service Businesses (or MSBs), that may be subject to registration and other legal obligations.[59][60][61]
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.
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]
Speculation drives numbers. Many Bitcoin users are holding onto their bitcoins in hopes of selling them off for an enormous profit one day. With news articles portraying Bitcoin millionaires as lucky kids who got in early, you can’t really blame them. For example, if you had spent your $5 latte money on 2,000 bitcoins one morning in 2010, they would be worth about $5.4 million today. Makes you really wish you’d managed your Starbucks budget better, doesn’t it?