These are my estimates, based on the known parameters:
In 1 year: 3.8 million
In 2 years: 7.5 million
In 3 years: 11.04 million

Now, I forgot to take into account the 1.5% Proof of Stake mined coins, so you have to add 1.5% every 30 days, approximately.

If I do a 1.5% Proof of Stake monthly compounded estimate, inclusive, that would mean about 19 million coins in 5 years.

I'd have to redo my math just to be sure, I had it computing only every 3 months (block reward goes down 1% every 3 months.) so the calculation is going to off, but not that much.