Barry Company is considering a project that will cost $$1,100,$ risk free rate of $5\%,$ cost of capital of $11\mathrm{.}75\%,$ shareholders expected return of $20\%$ and has a cash flow of:

Year $0$:$=-$$$1,100$

Year $1$: $$400$

Year $2$: $$390$

Year $3$: $$380$

Year $4$: $$370$

Year $5$: $$360$

What is the project's NPV$?$

a$.$ $$286\mathrm{.}36$

b$.$ $$309\mathrm{.}27$

C$.$ $$349\mathrm{.}96$

d$.$ $$294\mathrm{.}95$