Assume that interest rates are at 7% per annum, compounded semiannually. You will retire exactly 20 years from today. Your financial adviser suggested that you buy an annuity that will start on the day of your retirement, and which will pay as follows: (a) At the end of every whole year after your retirement, starting with the first year and ending on the 10 th year after your retirement, you will get $20,000. (b) In the middle of each year after your retirement, for all 10 years that this annuity will run, you also get $10,000. In other words, $10,000 payments would be made at 6,18,30,48, months after your retirement, the last payment being made exactly 6 months before the 10 th anniversary of your retirement. What is a fair price today for this annuity? Hints/Notes: a. This question is harder than the rest. b. Could you decompose the annuity above into two or more annuities that together form the original annuity? If so, then valuing the component annuities will help you determine the value of the composite annuity. c. Remember that when valuing an annuity, you must use the interest rate that corresponds to the time period (interval) between the payments of the respective annuity. d. We recommend that you use 4-5 decimals when computing intermediate results. Round your final answer to 2 decimals. e. Provide the answer as a positive number