Assume the$$ zero$-$coupon yields on$$ default$-$free securities are as summarized in the following$$ table:$$

Maturity$($years$)$

$1$

$2$

$3$

$4$

$5$

$$Zero$-$coupon YTM

$4\mathrm{.}10\%$

$4\mathrm{.}50\%$

$4\mathrm{.}80\%$

$5\mathrm{.}10\%$

$5\mathrm{.}30\%$

What is the price of a$$ five$-$year, zero$-$coupon,$$ default$-$free security with a face value of $ $1000?$