Getting RefToDate of the Previous Row to become the RefFromDate of the next Row TSQL

Getting RefToDate of the Previous Row to become the RefFromDate of the
next Row TSQL

I have a table with data on the below format:
ProjID ProjName RefDate
-------- ----------- ----------
1 A 08/02/2013
1 A 08/03/2013
1 A 08/15/2013
2 B 08/02/2013
2 B 08/03/2013
2 B 08/15/2013
2 B 08/20/2013
I want a resultset that looks like below:
ProjID ProjName StartDate EndDate
-------- ----------- ---------- ------------
1 A 08/02/2013 08/02/2013
1 A 08/02/2013 08/03/2013
1 A 08/03/2013 08/15/2013
2 B 08/02/2013 08/02/2013
2 B 08/02/2013 08/16/2013
2 B 08/16/2013 08/20/2013
2 B 08/20/2013 08/22/2013
The StartDate is copied from the refdate of the previous row.
How to have a TSQL statement to come up with the resultset mentioned
above? I can do an iteration but it's not the optimal way to do it IMHO.