Assume that the six$-$month Treasury spot rate is $1\mathrm{.}6\%$ APR, and the one$-$year rate is $2\%$ APR, both compounded semiannually. What is the price of a one$-$year $$1,000$ par Treasury bond with $2\%$ coupons?

The price of the Treasury bond is $$,.($Round to the nearest cent.$)$