An investment project costs $$13,500$ and will generate $$4,600$ in annual cash flows for six years. What is the discounted payback period if the discount rate is $7$ percent?

a$.5\mathrm{.}2$ years

b$.3\mathrm{.}7$ years

c$.4\mathrm{.}1$ years

d$.3\mathrm{.}4$ years

e$.4\mathrm{.}8$ years

f$.$ None of these answers

g$.3\mathrm{.}2$ years