$1.$Suppose you signed a contract for a special assignment over the next $15$ years. You will be paid $15,158$ at the end of each year. If your required rate of return is $8\mathrm{.}8\%,$ what is this contract worth in today?

$2.$ You need a loan to purchase new equipment. The loan will be paid off over $15$ years with payments made at the end of every quarter. If the stated annual rate is $4\mathrm{.}7\%$ and quarterly payments are $$112,$ what is the loan amount?

$3.$You would like to purchase a car for $$5,826.$ If the car loan is $11\mathrm{.}94\%$ financed over $4$ years, what will the monthly payments be for this car?

$4.$What is the most that you would pay for an investment that promises to pay $$11,224$ a year forever with the first payment starting one year from now? Assume that your required rate of return for this investment is $21\mathrm{.}83\%.$

$5.$A loan has a stated annual rate of $5\mathrm{.}08\%.$ If loan payments are made monthly and interest is compounded monthly, what is the effective annual rate of interest? Please be sure to answer as a percentage.