ABC stock is selling for $$30$ per share and has plans to pay $$1$ in dividends, and the dividends are expected to grow at the constant growth rate of $5\mathrm{.}00\%.$ The company is considering issuing a $15-$year convertible bond that would be priced at its $$1,000$ par value. The bonds would have an $7\mathrm{.}00\%$ annual coupon, and each bond could be converted into $20$ shares of common stock. The required rate of return on an otherwise similar nonconvertible bond is $9\mathrm{.}00\%.$ What is the estimated floor price of the convertible at the end of Year $5?$

A$)$ $$765\mathrm{.}77$

B$)$ $$835\mathrm{.}81$

$$ $$879\mathrm{.}80$

D$)$ $$871\mathrm{.}65$

E$)$ $$972\mathrm{.}41$