Amphibian Inc is considering three mutually exclusive projects, Projects A$,$ B$,$ and C$.$

The initial investment for Project A is $$12,000$ and is expected to generate after$-$tax cash flows of $$6,000$ per year for five years. Project B requires an initial investment of $$18,000$ and is expected to generate after$-$tax cash flows of $$10,000$ per years for three years. Project C requires an initial investment of $$25,000$ and is expected to generate $$11,000$ per year for four years. All projects can be replicated. The required rate of return for A$,$ B$,$ and C are $11\mathrm{.}75\%,9\mathrm{.}875\%,$ and $13\mathrm{.}625\%,$ respectively.

i$.$ Estimate the NPV of each project

ii$.$ Estimate the jayback period for each project.

iii. which project should the company undertake and why?