The compriny intends to invest in a business improvement for Project PS with an initial cost of R$4000$; the required return rate is $11\%$ and the payback period is four years.

The projected net annual cash flows for the project are as follows:

$\backslash$table$[[$Project PS$,],[$Year $0,-4000],[$Year $1,3100],[$Year $2,3000],[$Year $3,3700],[$Year $4,3500]]$

What is the net present value of the proposed project?

a$.$ R$6342\mathrm{.}25$

b$.$ R$5910\mathrm{.}67$

c$.$ R$6334\mathrm{.}72$

$$ d$.$ R$6238\mathrm{.}63$