Heating Devices R US is considering an investment in a new project that will require an initial investment of $$50,000.$

The expected cash flows from the project are as follows: Year $1$: $$10,000$ Year $2$: $$15,000$ Year $3$: $$20,000$ Year $4$: $$25,000$ Year $5$: $$30,000$

Calculate the payback period for this investment. Please show your work.