You are a producer of coal. You expect to produce $100$ tons in $6$ months and $120$ tons in $12$ months.

The futures contract price for coal is $$1,500$ per ton in $6$ months and $$1,650$ per ton in $12$ months.

The $6-$month T$-$bill has a yield of $2\mathrm{.}45\%,$ and the $12-$month T$-$bill has a yield of $6\mathrm{.}42\%.$ These are actual returns, not YTM where by convention the number reported in $2$ x $6-$mo rate.

Assume all transaction costs are zero.

You enter into futures contracts and buy and sell T$-$bills so that you have a fixed amount of dollars today with no other cash flows at any other point in time. How many dollars will you have today?