You are given the following information with respect to a bond with annual coupons:

$($i$)$ Face value: $$10,000$

$($ii$)$ term to maturity: $5$ years,

$($iii$)$ annual coupon rate: $4\%$

You are also given that the one, two, three, four, and five year annual spot interest rates are $7\%,4\%,6\%,5\%,$ and $8\%,$

Calculate

$($a$)$ the price of the bond

$($b$)$ the yield rate of the bond.