A firm is worth $$75$ or $$210$ with equal probability and is financed with debt that has a face value of $$80.$ It is considering a new project that is equally likely to be worth $-$$$50$ or $+$$$55.$ The cost of capital is $12\%$ for all securities$.$ What will the bondholder's require as a return on their investment if they fear expropriation?

$44\mathrm{.}7\%$

$12\mathrm{.}0\%$

$29\mathrm{.}2\%$

$25\mathrm{.}4\%$