At an annual effective interest rate $i,$ a perpetuity$-$immediate with payments of size $1$ per year has the

same present value as a $10-$year annuity$-$immediate with payments of size $4$ per year.

Find $i.$ Give your answer as a percentage rounded to four places $($i$.$e$.$ X$.$XXXX$\%).$

Do not include the percent sign in BlackBoard.