A share has the following expected returns:

In a boom economy, the return on the share is estimated to be $-10\%.$ There is a $35\%$ chance there will be a boom economy.

In a normal economy, the return is estimated to be $12\%.$ There is a $45\%$ chance there will be a normal economy.

In a recession economy, the return is estimated to be $30\%.$ There is a $20\%$ chance there will be a recession economy.

Given this information, what is the expected return for this share?

a$)7\mathrm{.}9\%$

b$)10\mathrm{.}7\%$

c$)12\%$

d$)14\mathrm{.}9\%$