$($Common stock valuation$)$ The common stock of NCP paid $$1\mathrm{.}75$ in dividends last year. Dividends are expected to grow at an annual rate of $7\mathrm{.}70$ percent for an indefinite number of years.

a$.$ If NCP$\text{'}$s current market price is $$21\mathrm{.}84$ per share, what is the stock's expected rate of return?

b$.$ If your required rate of return is $9\mathrm{.}7$ percent, what is the value of the stock for you?

c$.$ Should you make the investment?

a$.$ If NCP$\text{'}$s current market price is $$21\mathrm{.}84$ per share, the stock's expected rate of return is $\%.($Round to two decimal places.$)$

b$.$ If your required rate of return is $9\mathrm{.}7$ percent, the value of the stock would be $ $($Round to the nearest cent.$)$