The following data contains prices of zero$-$coupon bonds on Friday,

November $17,2023.$ The zero$-$coupon bonds have a par value of $100$ and do not pay periodic coupons. There are ten zero$-$coupon bonds in the data, one maturing every year between $2024$ and $2033.$ The maturity date of all the bonds is November $17.$ Hence, the time to maturity of the bonds is exactly one year for the first bond, two years for the second bond, and so on$.$ The bonds are issued by a sovereign government and there is no credit risk associated to the payments of these bonds.

Using this data, answer the following question. Maturity date Price of zero

$17/11/202496,941$

$17/11/202593,927$

$17/11/202690,814$

$17/11/202787,634$

$17/11/202884,438$

$17/11/202981,251$

$17/11/203078,043$

$17/11/203174,783$

$17/11/203271,835$

$17/11/203369,075$ What is the yield to maturity of the eight$-$year zero$-$coupon bond maturing on November $17,2031?$