$($Solving for $i)$ In March $1963,$ Ironman was introduced in issue $39$ of the comic book Tales of Suspense. The original price for that issue was $$0\mathrm{.}13.$ By March $2014,51$ years later, the value of this comic book, given the condition it's in$,$ had risen to $$9,900.$ What annual rate of interest would you have earned if you had bought the comic book in $1963$ and sold it in $2014?$

The annual rate of interest you would have earned if you had bought the comic book in $1963$ and sold it in $2014$ is $22\mathrm{.}35\%.($Round to two decimal places.$)$