Please don't solve on excel.

An investment is expected to generate the following cash flows:

Year $0$

$-$$$500,000$

Year $1$

$$150,000$

Year $2$

$$0$

Year $3$

$$150,000$

Year $4$

$$100,000$

Year $5$

$$250,000$

The discount rate is $10\%$ per year.

a$.$ Based on the net present value rule, should the investment be accepted? Show your work.

b$.$ Based on the payback period rule, should the investment be accepted if the benchmark period is four years? Show your work.

c$.$ Based on the discounted payback period rule, should the investment be accepted if the benchmark period is four years? Show your work