$[$SOA $334]$ Today's deposit of $9550$ earns an annual effective interest rate of i for five years. At the end of the fifth year, the entire accumulated balance is reinvested into a $20-$year annuity$-$due. The annuity$-$due has level annual payments of $756\mathrm{.}97$ at an annual effective interest rate of $4\%.$

Calculate $i.$