An investment offers $$4,350$ per year for $15$ years, with the first payment occurring one year from now. If the required return is $6$ percent, what is the value of the investment? What would the value be if the payments occurred for $40$ years? For $75$ years? Forever?

If you put up $$81,000$ today in exchange for a $5\mathrm{.}1$ percent, $15-$year annuity, what will the annual cash flow be$?$

Your company will generate $$47,000$ in annual revenue each year for the next seven years from a new information database. If the appropriate interest rate is $7\mathrm{.}1$ percent, what is the present value of the revenue?

If you deposit $$4,500$ at the end of each of the next $30$ years into an account paying $7\mathrm{.}9$ percent interest, how much money will you have in the account in $30$ years? How much will you have if you make deposits for $40$ years?

You want to have $$80,000$ in your savings account $12$ years from now, and you're prepared to make equal annual deposits into the account at the end of each year, If the account pays $4\mathrm{.}6$ percent interest, what amount must you deposit each year?

Prescott Bank offers you a five$-$year loan for $$75,000$ at an annual interest rate of $6\mathrm{.}8$ percent. What will your annual loan payment be$?$

The Maybe Pay Life Insurance Co$.$ is trying to sell you an investment policy that will pay you and your heirs $$55,000$ per year forever. If the required return on this investment is $4\mathrm{.}2$ percent, how much will you pay for the policy?

In the previous problem, suppose a sales associate told you the policy costs $$800,000.$ At what interest rate would this be a fair deal?