Here is the expected arrival dates for the Google Page rank updates for 2013. If you followed the pagerank updates in 2012 you will notice that the time- frames are almost the same. The PR algorithm updates are performed 4 time per year.
Now as mentioned they are expected updates, Google may change the dates.
- 1st Update due around January 28 to February 6
- 2nd Update due around June 27 to July 7
- 3rd Update due around September 29 to 4 October
- 4th Update due around 24 December to 29 December
If you have recently setup a new website and wondering what page rank your domain will receive, I can tell you that most websites will receive a pagerank between PR1 to PR3.