An investor purchased a stock that is expected to earn $14\mathrm{.}5$ percent in a booming economy, $2\mathrm{.}5$ percent in a normal economy, and lose $4\mathrm{.}5$ percent in a recessionary economy. The probabilities of a boom, a normal economy, and a recession are $11,68,$ and $21$ percent, respectively. What is the expected rate of return on the stock