$($Bond valuation$)$ Hamilton, Inc. bonds have a coupon rate of $9$ percent. The interest is paid semiannually, and the bonds

mature in $14$ years. Their par value is $$1,000.$ If your required rate of return is $12$ percent, what is the value of the bond?

What is the value if the interest is paid annually?

a$.$ If the interest is paid semiannually, the value of the bond is $$.($Round to the nearest cent.$)$