Either the gold bull market is over or it's not. If it's not, then gold will hit $2000. But when? I decided to use actual numerical data (monthly prices) instead of drawing lines on a goddamn chart.
Can we estimate a parameter that captures the price action for the entirety of the bull market thus far? That's 12+ years of data points, so assuming the bull market isn't over (and again, everything that follows here rests on that assumption), extrapolation becomes a decently safe bet.
Turns out the monthly closing price of gold since 2001 has increased at a remarkably steady rate. The data points somewhat surprisingly satisfy the main assumptions of a (log) linear regression model (which can be checked by various diagnostic measures that I won't get into). The one violation is that prices constitute a time series, so the *signs* of month-to-month differences will be correlated, but there are fairly dependable ways to correct for that when they're not too glaring.
How well does the model perform? The 99% confidence interval for the expected monthly change is remarkably tight: between +1.042% and +1.050%. The 99% confidence interval for each month's price is depicted as a capped error bar (grey). At the center of each of those error bars you can imagine the best point-estimate for price that month. The yellow band covers the 99% confidence interval for what that best estimate is, each month. It's fairly wide, mainly because I used a more conservative calculation of standard deviation that takes into account that we're dealing with a time-series, and prices are correlated.

The green dotted line depicts when gold is expected to close a month at $2000 (June 2013); the blue dotted line depicts the most conservative estimate for when price is expected to close a month at $2000 (November 2013); and the purple dotted line depicts when the lower bound of the 99% confidence interval passes $2000 (August 2014). Note that the upper bound of the month-to-month confidence intervals passed $2000 only in May 2012.