Assume an efficient capital market. Consider a zero$-$coupon bond $($coupon is $0\mathrm{.}00\%)$ with a nominal value of $1000$ per bond, and a

maturity of $2$ years. The bond has no default risk. The $1-$year spot rate $(r_1)$ is $2\%$ and $2-$year spot rate $(r_2)10\mathrm{.}5\%.$

$1\mathrm{.}0$p $6$ Calculate the price of one bond.

Round your final answer to two decimal places, ignore the currency sign and do not use a thousands separator.

For example: You calculate a value of $1,234\mathrm{.}5678$ and now give in: $1234\mathrm{.}57$