2020? The dollar as we know it now won't exist by then I suspect, but I've played along with your logic on the poll and voted for $2000+ I reckon that they'll have probably hyperinflated the currency so much 1 Bitcoin will be worth something stupid like $100,000,000
You realize that 2020 is less than 6 years away?
The vast majority of the change in the exchange rate USD <-> BTC will come from the change in value of BTC at least in the near future.
And with all enthusiasms let us not forget that despite widespread acceptance Bitcoin are still inherently far more risky than dollars. The chances of bitcoin collapsing in the next 6 years are far greater than that of US dollars becoming completely worthless.
This is why investing in BTC can still give you such high returns if everything works. High risk = high returns, low risks = low returns. This is the rule for investing in just about anything.