Your parents are planning to retire in $8$ years. They currently have $$101,992$ in their retirement account. Your parents feel that they need $$3,999,932$ before they can retire. What annual yield do they need to earn in order for them to reach their goal in $8$ years $($please respond without the $"\%"$ sign, but with two significant decimal points $-$ for instance instead of $12\mathrm{.}77\%,$ simply enter $12\mathrm{.}77)?$