$5\mathrm{.}4$ If a project costs $$100,000$ and is expected to return $$25,000$ annually, how long does it take to recover the initial investment? What would be the discounted payback period at i$=15\%?5\mathrm{.}5$ Refer to Problem $5\mathrm{.}4,$ and answer the following questions:a$.$ How long does it take to recover the investment?b$.$ If the firms interest rate is $15\%$ after taxes, what would be thediscounted payback period for this project?