What does 1.00 in 1862 equal today?

Answer 1

1.00 in 1862 is still 1.00

Perhaps you are thinking of some monetary unit.

In that case, do you mean the face value of that unit (some coinage, perhaps) or the collector's value (which can almost be guaranteed not to be its face value).

In either case, the monetary unit in question is required.

To know the face value, the relative inflation will need to be taken into account and no two countries have had the same inflation.

Collectors will have a preference for some currencies over others, which means they could be willing to pay much more than the face value [taking inflation into account], or much less.