So far, if you look at the price on a (best fit removing all the bubbles) log scale (
http://blockchain.info/charts/market-price?showDataPoints=false&show_header=true&daysAverageString=1×pan=all&scale=1&address=) for all time, the price has been increasing by between 200% and 500% per year. So lets assume that the initial expansion was faster then any other time in history and we have a slowing of new adopters to a more realistic rate. Lets even throw in a bad year for the hell of it. See my projections below. This works out to about 91% increase a year for the next 8 years. Of course I just pulled all of these projections out of my ass and they have no basis in fact.
July 2010 - $0
July 2011 - $2 (200% increase)
July 2012 - $7 (250% increase)
July 2013 - $44 (520% increase) (yes, this is the true value of bitcoin at the moment IMO)
----------------------- PROJECTIONS ----------------------
July 2014 - $154 (350% increase)
July 2015 - $385 (250% increase)
July 2016 - $577 (50% increase)
July 2017 - $721 (25% increase)
July 2018 - $811 (12% increase)
July 2019 - $859 (6% increase)
July 2020 - $773 (10% loss)
July 2021 - $835 (8% increase)
I think your calculation contains mathematical errors.
The average yearly increase in price has been 900% per year if you start calculating from the first price bitcoins were valued.
(sorry in € but $ is the same % increase)
2013 (13 april): € 89.89 +779%
2012: € 10.23 +189%
2011: € 3.54 +1375%
2010: € 0.24 +387%
2009: € 0.04 +4867%
2008: € 0.00082
This was a 10 000 000% increase in 5 years.
Agreed that the yearly price increase will go down over time. I estimate the increase will be 100 times less over the next 8-10 years. If governments do not outlaw bitcoins, my estimation is that bitcoin will be valued around
$1000 billion ($50 000 per coin) in 8-10 years, an increase of 100 000%.
I realize these are crazy numbers but you get those numbers by simply tenfolding 3 times. $1000 billion will still be a valuation 10 times smaller than the market cap of gold ($10 000 billion), and still 30 times smaller than the market cap of all fiat currencies combined ($30 000 billion).
However, at $1000 billion bitcoin will (finally!) be valued higher than any single company (apple being around $400 billion today). Some mainstream sectors in the economy will have adopted bitcoin and it will be clear by then that bitcoin will likely become a currency more important than gold or fiat currencies.
Here how I see that price being realized roughly, the next bubble in 2-3 years will go to a few $1000 per coin and fall back to a few $100. The bubble after that in 5 years will go to a few $10 000 per coin and fall back to a few $1000. The bubble in 8-10 years will go to a few $100 000 per coin and will fall back to a few $10 000. Just my guess.
Note, ofcourse it can fail too. Therefore only invest a % of your capital in it and lock in profits from time to time indefinitely. Also, even when it succeeds, many that buy when prices are going hyperbolic will have to look at painful losses for years. Also do not lose your eye from the ball, many btc investors will miss out due to lost coins, stolen coins, scams, exchange shutdowns and above all inferior stock, bond and altcoin investments.