Joe is looking for some employment. The UPS store is hiring part time employees, but you need a reliable car.Joe decides to go all in and buy a car and do delivery on the side. He estimates the car to be about $$35,000($have you seen prices recently... man$).$ Additionally, he anticipates making $$15,000$ per year in income in year $1,$ with each year rising $5\%.$ Additionally, he anticipates, his cash flow will be roughly $$9,000$ per year in year $1,$ with each year also rising $5\%.$ He will end the delivery "job" in $4$ years $($when he graduates$).$ He also had a finance class with Professor Honer. He knows the historical rate of return is $(8\%),$ so he wants to beat it and make his rate of return $9\%.$ Please do the following$1.$ Compute Payback Period $($show work$)1\mathrm{.}25$pts$2.$ Compute NPV $($show work$)-1\mathrm{.}25$pts$3.$ Compute Discount Payback Period $(1$ pts$)4.$ Compute Profitability Index $(1$ pt$)3.$ State in a sentence what the IRR is $-\mathrm{.}5$ pts