Isabella invested in a stock for five years. The annual returns over the past five years were: $3\mathrm{.}1\%,-18\mathrm{.}5\%,19\mathrm{.}6\%,-10\mathrm{.}9\%,$ and $-7\mathrm{.}7\%,$ respectively. What was her annual compounded rate of return in the past five years? $($Note: Round your answer to $3$ decimal places. For example, if your answer is $8\mathrm{.}7\%,$ you should write $0\mathrm{.}087$ in the answer box. DO NOT write $8\mathrm{.}7$ in the box as you will be marked wrong$).$