Made Ltds$.$ Ordinary shares currently sell for $$22\mathrm{.}50$ each. The company$$s executives anticipate a constant dividend growth rate of $10\%$ per annum with $$2$ per share being the expected dividend to be paid at the end of the year.

a$)$ If you are purchasing Made Ltd$.$ Ordinary shares, what rate of return can you expect to earn?

b$)$ If you require a $17\%$ return, should you purchase the shares?