A new proposed investment costs$$112865$ and has installation cost of$$11825.$ The after$-$tax proceedsfrom selling the old investment are$$56456.$ The after$-$tax annualcashflows from the old investmentare equal$$5877,$ while the aftertax cashflows from the newinvestment are $$18400.$ Assumingboth investments have an infiniteuseful life, what is the paybackperiod for replacing the oldinvestment with a new investment.