Assume the$$ zero$-$coupon yields on$$ default$-$free securities are as summarized in the following$$ table:$($Click on the following icon in order to copy its contents into a$$ spreadsheet.$)$

Maturity$($years$)$

$1$

$2$

$3$

$4$

$5$

$$Zero$-$coupon YTM

$5\mathrm{.}90\%$

$6\mathrm{.}20\%$

$6\mathrm{.}60\%$

$6\mathrm{.}80\%$

$7\mathrm{.}00\%$

What is the price of a$$ three$-$year, default$-$free security with a face value of $ $1$ comma $000$ and an annual coupon rate of $5\%?$ What is the yield to maturity for this$$ bond?

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Part $1$

What is the price of a$$ three$-$year, default$-$free security with a face value of $ $1$ comma $000$ and an annual coupon rate of $5\%?$

The price is $$$

$$

enter your response here. $($Round to the nearest$$ cent.$)$

What is the Yield$\%$