Looking at the previous four year cycles we can spot a pattern that shows the price shooting up the year after a halving.
2013 - 5,428.70%
2017 - 1,336.41% (1/4 of the previous post-halving rise)
Assuming a similar progression, we would see:
2021 - 329.16% (1/4 of the previous post-halving rise)
The assumed pattern, shown on the chart, tells us that there is a good chance we'll see prices in the areas of $86,000 and $28,000. I doesn't have to happen, but if it does, seeing price movements in that order wouldn't be a big surprise.
For the past 10 years, year-over-year, BITSTAMP:BTCUSD has seen a median price increase of 109.18% If you can believe that we could see another four years of 2x growth, that would put the price around $383,000