Calculate the following: Suppose a 65-year-old person wants to purchase an annuity from an insurance company that would pay $20,000 per year until the end of that persons life. The insurance company expects this person to live for 15 more years and would be willing to pay 6 percent on the annuity. How much should the insurance company ask this person to pay for the annuity? A second 65-year-old person wants the same $20,000 annuity, but this person is healthier and is expected to live for 20 more years. If the same 6 percent interest rate applies, how much should this healthier person be charged for the annuity? In each case, what is the new purchase price of the annuity