Abacus Industries is considering a $3-$year project that will cost $$200$ today followed by free cash flows to the firm of $$100$ in year $1,$ $$80$ in year $2,$ and $$160$ in year $3.$ The tax rate is $35\%.$

Assuming instead of $100\%$ equity, Abacus funds the project with $$70$ of debt at an interest rate of $7\%.$ For the three years of the project ABC will pay only interest. The loan of $$70$ will be repaid at the end of year $3.$ The balance of the cost of the project will be financed with equity. What is the levered NPV of this project using the APV method:

Group of answer choices

$$29\mathrm{.}10$

$$169\mathrm{.}10$

$$299\mathrm{.}10$

$$79\mathrm{.}10$