Two months ago, Francesca purchased a bond for $$9,000.$ Initially, she calculated the bond would be equivalent to a five$-$month simple interest loan with an interest rate of $3\mathrm{.}8\%$ per year. However, Francesca's car unexpectedly broke down today. To pay for the car repair, she decided to sell the bond to a friend for $$9,030.$

$($A$)$ What is the maturity value of the bond? Round your answer to the nearest dollar.

$($B$)$ From the friend's perspective, what is the equivalent simple interest rate per year? Round your answer to the nearest tenth of a percent.

$($C$)$ By selling the bond for $$9,030,$ Francesca's true interest rate was not necessary the same as she initially calculated. What was her true equivalent simple interest rate per year?