A new business opportunity has an $80\%$ chance of being worth $$750000$ next year and a $20\%$ chance of being worth $$150000.$ The appropriate expected rate of return is $13\%.$ This new opportunity will be financed with a $$500000$ loan. What must the promised rate of return on the loan be$?$ Round your answer to the nearest hundredth of a percent.

Group of answer choices

$11\mathrm{.}50\%$

$33\mathrm{.}75\%$

$61\mathrm{.}43\%$

$26\mathrm{.}00\%$