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.
Volatility. This very reason many speculators are attracted to Bitcoin is the same reason many potential users are hesitant to get involved. Users that look at Bitcoin as a speculative investment option are essentially gambling on the process, and the future price of Bitcoin is largely unknown. There are estimates that Bitcoin will both be worth pennies in a few years, while some predict that a single bitcoin will be worth $500k in three years. As new investors continue to invest and the market cap grows, Bitcoin’s price could become more stable.
Prior to the release of bitcoin there were a number of digital cash technologies starting with the issuer based ecash protocols of David Chaum and Stefan Brands.[3][4][5] Adam Back developed hashcash, a proof-of-work scheme for spam control. The first proposals for distributed digital scarcity based cryptocurrencies were Wei Dai's b-money[6] and Nick Szabo's bit gold.[7][8] Hal Finney developed reusable proof of work (RPOW) using hashcash as its proof of work algorithm.[9]
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.
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.
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?