$($Discounted payback period$)$ The Callaway Cattle Company is considering the construction of a new feed handling system for its feed lot in Abilene, Kansas. The new system will provide annual labor savings and reduced waste totaling $$200,000$ while the initial investment is only $$500,000.$ Callaway's management has used a simple payback method for evaluating new investments in the past but plans to calculate the discounted payback to analyze the investment. Where the appropriate discount rate for this type of project is $10$ percent, what is the project's discounted payback period?

The project's discounted payback period is $$ years. $($Round to two decimal places.$)$