A firm just paid a dividend of $$1\mathrm{.}85,$ and that dividend is expected to grow at $3\%$ per year forever $($growing perpetuity$).$ Investors require a rate of return of $9\%.$ What is the price of this firm's stock?

Group of answer choices

$$0$

$$31\mathrm{.}76$

$$32\mathrm{.}00$

$$32\mathrm{.}75$

$$36\mathrm{.}25$

$$36\mathrm{.}47$

$$36\mathrm{.}85$

$$36\mathrm{.}94$