A firm with a $10\mathrm{.}5$ percent cost of capital is considering a project for this year$$s capital budget. The project$$s expected after$-$tax cash flows are as follows:

Year:

$0$

$1$

$2$

$3$

$4$

Cash flow:

$-$$$10,000$

$$3,200$

$$3,600$

$$4,900$

$$4,500$

Calculate the project$$s net present value $($NPV$).$

a$.$

$$4,660\mathrm{.}63$

b$.$

$$6,200\mathrm{.}00$

c$.$

$$2,257\mathrm{.}26$

d$.$

$$2,494\mathrm{.}27$

e$.$

$$865\mathrm{.}90$