Problem # 1: Various Time Value Situations (20 points)

Using the appropriate interest table, provide the solution to each of the following four questions by computing the unknowns. Show all your calculations. a. What is the amount of the payments that Ned Winslow must make at the end of each of 8 years to accumulate a fund of $90,000 by the end of the eighth year, if the fund earns 8% interest, compounded annually? b. Robert Hitchcock 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 deposit must Robert make if the fund will earn 8% interest compounded annually? c. Diane Ross has $20,000 to invest today at 9% to pay a debt of $47,347. How many years will it take her to accumulate enough to liquidate the debt? d. Cindy Houston has a $27,600 debt that she wishes to repay 4 years from today; she has $19,553 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?

Problem # 2: Analysis of Alternatives (15 points)

Julia Baker died, leaving to her husband Brent an insurance policy contract that provides that the beneficiary (Brent) can choose any one of the following four options. a. $55,000 immediate cash. b. $4,000 every 3 months payable at the end of each quarter for 5 years. c. $18,000 immediate cash and $1,800 every 3 months for 10 years, payable at the beginning of each 3-month period. d. $4,000 every 3 months for 3 years and $1,500 each quarter for the following 25 quarters, all payments payable at the end of each quarter.

Instructions If money is worth 212% per quarter, compounded quarterly, which option would you recommend that Brent exercise?

Show all your calculations for each alternative analyzed