Consider a convertible bond trading at $$1,000$ with a conversion ratio of $37\mathrm{.}383,$ coupon rate of $9\mathrm{.}5\%,$ and par value of $$1,000.$ If the firm's stock trades at $$23$ and provides an annual dividend of $$0\mathrm{.}75,$ what is the premium payback period?

$2\mathrm{.}23$

$1\mathrm{.}99$

$1\mathrm{.}81$

$2\mathrm{.}09$