NCP$,$ Inc. currently pays a dividend of $$1\mathrm{.}32.$ Dividends are expected to grow at an $8$ percent annual rate for an indefinite number of years. Your required rate of return is $11$ percent.

a$.$ What price should NCP$$s stock be selling for? $$47\mathrm{.}52$

b$.$ If NCP$\text{'}$s current market price is $$21\mathrm{.}60,$ what is the stock's expected rate of return $($dividend yield plus capital gains yield!$)?$ Should you make the investment? $14\mathrm{.}6\%$

c$.$ If the dividend growth rate were $10\%,$ what should the stock price be$?$ $$145\mathrm{.}20$