Question

Three employees of the Horizon Distributing Company will receive annual pension payments from the company when they retire. The employees will receive their annual payments for as long as they live. Life expectancy for each employee is 15 years beyond retirement. Their names, the amount of their annual pension payments, and the date they will receive their first payment are shown below: (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) Employee Tinkers Evers Chance Annual Payment $37,000 42,000 47,000 Date of First Payment 12/31/24 12/31/25 12/31/26 Required: 1. Compute the present value of the pension obligation to these three employees as of December 31, 2021. Assume a 12% interest rate. 2. The company wants to have enough cash invested at December 31, 2024, to provide for all three employees. To accumulate enough cash, they will make three equal annual contributions to a fund that will earn 12% interest compounded annually. The first contribution will be made on December 31, 2021. Compute the amount of this required annual contribution. (For all requirements, Do not round intermediate calculations. Round your final answers to nearest whole dollar amount.) Employee PV 1. Tinkers Evers Chance Amount of annual contribution

Answer 1

Tinkers: PVA = $37,000 6.8109 = $ 2,52,003.30 Present value of an ordinary annuity of $1:n= 15,i= 12% $ 2,00,897.03 PV = $2,52,003.3 x 0.7972 = Present value of $1:n=2,i= 12% Evers: PVA = $42,000 x 6.8109 = $ 2,86,057.80 Present value of an ordinary annuity of $1:n= 15,i= 12% $ 2,03,615.94 PV = $2,52,003.3 x 0.7118 = Present value of $1:n=3,i= 12% Chance: PVA = $47,000 x 6.8109 = $ 3,20,112.30 Present value of an ordinary annuity of $1:n= 15,i= 12% $ 2,03,431.37 PV = $2,52,003.3 x 0.6355 = Present value of $1:n=4,i= 12% Present value of pension obligations as of December 31, 2024 Employee PV as of 12/31/21 x FV of $1, n=3, i=12% = FV as of 12/31/21 Tinkers: $ 2,00,897 x 1.4049= 2,82,240 Evers: $ 2,03,616 x 1.4049= $ 2,86,060 Chance: $ 2,03,431 x 1.4049= $ 2,85,800 Total PV as of 12/31/2024 8,54,101 Amount of annual contribution FVAD = Annuity amount x Annuity factor(FVAD, n=3, i=12%) or Annuity Amount = $8,54,101/3.7793 = 225994.3708 Answer SL no. Employees 1 Tinkers: Evers: Chance: 2 Amount of Annual Contribution $ $ $ $ PV 2,00,897 2,03,616 2,03,431 2,25,994