Consider the ffllowing fouryear project. The initial cost is $$180,000.$ The respective cash inflows for years $1,2,3$ and $4$ are: $$100,000,$ $$50,000,$$$80,000$ and $$20,000.$ What is the discounted payback period if the discount rate is $11\%?$

A$.$ About $2\mathrm{.}427$ years

B$.$ About $2\mathrm{.}000$ years

C$.$ About $1\mathrm{.}667$ years

D$.$ About $2\mathrm{.}256$ years

Please i need an answer with calculations explanation thank you.