Using the appropriate interest table, provide the solution to each of the following four questions by computing the unknowns.
Problem 1: What is the amount of the payments that Tom Brokaw must make at the end of each of 8 years to accumulate a fund of $70,000 by the end of the eight year, if the fund earns 8% interest, compounded annually? (Provide calculation as well)
Problem 2: Anderson Cooper is 40 years old today and he wishes to accumulate $500,000 by his sixty-fifth birthday so he can retire to his summer place on Lake Hopatcong. He wishes to accumulate this amount by making equal deposits on his fortieth through his sixty-fourth birthdays. What annual deposits must Anderson make if the fund will earn 12% interest compounded annually?(provide calculation as well)
Problem 3: Jane Pauley has $20,000 to invest today at 9% to pay a debt of $56,253. How many years will it take her to accumulate enough to liquidate the debt? (Provide calculation as well)
Problem 4: Maria Shriver has a $27,600 debt that she wishes to repay 4 years from today; she has $18,181 that she intends to invest for the 4 years. What rate of interest will she need to earn annually in order to accumulate enough to pay the debt? (Provide calculation as well)