A firm is worth $$85$ or $$215$ with equal probability and is financed with debt that has a face value of $$100.$ It is considering a new project that is equally likely to be worth $-$$$50$ or $+$$$55.$ The cost of capital is $11\%$ for all securities$.$ Calculate the present values of the firm$$s debt and equity, assuming that the project is not undertaken.

Group of answer choices

Debt $100$; Equity $50$

Debt $67\mathrm{.}57$; Equity $67\mathrm{.}57$

Debt $100$; Equity $35\mathrm{.}14$

Debt $83\mathrm{.}33$; Equity $51\mathrm{.}8$