In order to fund her retirement, Michele requires a portfolio with an expected return of $0\mathrm{.}10$ per year over the next $30$ years. She has decided to invest in Stocks $1,2,$ and $3,$ with $25$ percent in Stock $1,50$ percent in Stock $2,$ and $25$ percent in Stock $3.$ If Stocks $1$ and $2$ have expected returns of $0\mathrm{.}08$ and $0\mathrm{.}08$ per year, respectively, then what is the minimum expected annual return for Stock $3$ that will enable Michele to achieve her investment requirement? Round to two decimal places.