Build Corporation wants to purchase a new machine for $$378,000.$ Management predicts that the machine can produce sales of $$226,000$ each year for the next $5$ years. Expenses are expected to include direct materials, direct labor, and factory overhead $($excluding depreciation$)$ totaling $$76,000$ per year. The firm uses straight$-$line depreciation with no residual value for all depreciable assets. Build's combined income tax rate is $40\%.$ Management requires a minimum after$-$tax rate of return of $10\%$ on all investments.

What is the present value payback period, rounded to one$-$tenth of a year? $($Note: PV factors for $10\%$ are as follows: year $1=0\mathrm{.}909$; year $2=0\mathrm{.}826$; year $3=0\mathrm{.}751$; year $4=0\mathrm{.}683$; year $5=0\mathrm{.}621$; the PV annuity factor for $10\%,5$ years $=3\mathrm{.}791.$ Assume that annual after$-$tax cash inflows occur at year$-$end.$)$