Gateway Graphics is considering an investment in new printing equipment costing $$520,000.$ The equipment will be depreciated on a straight $-$ line basis over a five $-$ year life and is expected to generate net cash inflows of $$138,000$ the first year, $$146,000$ the second year, and $$164,000$ every year thereafter until the fifth year. What is the payback period for this investment? The residual value is zero. $($Round answer to two decimal places.$)$

A$.4\mathrm{.}68$ years

B$.2\mathrm{.}77$ years

C$.2\mathrm{.}58$ years

D$.3\mathrm{.}44$ years