Stonehenge Co$.$ issued $$1,000$ par value bonds with an $8\%$ coupon rate, convertible into $20$ shares of its common stock. If the market price of the bond is $$1,100$ and the stock is now at $$45$ per share and pays a $$1\mathrm{.}50$ per share annual dividend. What is this bond$$s payback period?

Group of answer choices

$5\mathrm{.}5$ years

$2\mathrm{.}9$ years

$3\mathrm{.}4$ years

$4\mathrm{.}0$ years