Suppose that a commodity$$s forward prices for $1$ year and $2$ years are $$70$ and $$80.$ The $1-$year effective annual interest rate is $6\mathrm{.}5\%,$ and the $2-$year interest rate is $7\mathrm{.}0\%.$ You will pay a fixed rate of $$74\mathrm{.}8192$ in a $2-$year swap and receive the floating rate. Now suppose that just after you enter into the contract, the $1-$year and $2-$year interest rates each fall by $80$ basis points. What is the value of your swap position after this change?

Solve for correct answer: $$0\mathrm{.}0342$