Apache Junction Company is evaluating a capital expenditure proposal that requires an initial investment of $$13,257,$ has predicted cash inflows of $$3,000$ per year for $18$ years, and has no salvage value.

$($a$)$ Using a discount rate of $16$ percent, determine the net present value of the investment proposal. $($Round to the nearest whole number.$)$

Answer: $

$($b$)$ Determine the proposal's internal rate of return. Round answer to the nearest whole percentage $($for example, $0\mathrm{.}34555=35\%).$

Answer: $\%$

$($c$)$ What discount rate would produce a net present value of zero? Round answer to the nearest whole percentage $($for example, $0\mathrm{.}34555=35\%).$

Answer: $\%$