It is now January. The current annual interest rate is $5\mathrm{.}2\%.$ The June futures price for gold is $$1651\mathrm{.}10,$ while the December futures price is $$1,657.$ Assume the June contract expires in exactly $6$ months and the December contract expires in exactly $12$ months.

Required:

a$.$ Calculate the appropriate price for December futures using the parity relationship? $($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$ Price for December futures: $\_\_\_\_\_\_\_\_\_\_\_\_\_\_$