Exercise 5-1 (Algo) Future value; single amount [LO5-2) Determine the future value of the following single amounts (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.) (Round your final answers to nearest whole dollar amount.): n Future Value 5% Invested Amount i 19,500 31,000 43.000 64,000 Exercise 5-4 (Algo) Present value; multiple, unequal amounts (LO5-3) Determine the combined present value as of December 31, 2021, of the following four payments to be received at the end of each of the designated years, assuming an annual interest rate of 8%. (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. Round your final answers to nearest whole dollar amount.) Payment $ 6,500 7,350 9,200 10,650 Year Received 2022 2023 2025 2027 i n Payment Present Value $ Year Received 2022 2023 2025 2027 Total 6,500 7,350 9,200 10,650 Check my work Exercise 5-9 (AIGO) Present value; annuities LL05-8) Using the appropriate present value table and assuming a 12% annual interest rate, determine the present value on December 31, 2021, of a five-period annual annuity of $6,800 under each of the following situations: (FV of $1. PV of $1. FVA of $1. PVA of $1. FVAD of $1 and PVAD of 51) (Use appropriate factor(s) from the tables provided.) 1. The first payment is received on December 31, 2022, and interest is compounded annually. 2. The first payment is received on December 31, 2021, and interest is compounded annually. 3. The first payment is received on December 31, 2022, and interest is compounded quarterly Complete this question by entering your answers in the tabs below. Required 1 Required 2 Required 3 The first payment is received on December 31, 2022, and interest is compounded annually. (Round your final answers to nearest whole dollar amount.) Table or calculator function Payment: PV - 12/31/2021: Required 2 > Prey 3 of 6 Naut Answer each of the following independent questions. Alex Meir recently won a lottery and has the option of receiving one of the following three prizes: (1) $84,000 cash immediately. (2) $31,000 cash immediately and a six-period annuity of $9,100 beginning one year from today, or (3) a six-period annuity of $16,400 beginning one year from today. (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.) 1. Assuming an interest rate of 5%, determine the present value for the above options. Which option should Alex choose? 2. The Weimer Corporation wants to accumulate a sum of money to repay certain debts due on December 31, 2030. Weimer will make annual deposits of $165,000 into a special bank account at the end of each of 10 years beginning December 31, 2021. Assuming that the bank account pays 6% interest compounded annually, what will be the fund balance after the last payment is made on December 31, 2030? Complete this question by entering your answers in the tabs below. Required 1 Required 2 Assuming an interest rate of 5%, determine the present value for the above options. Which option should Alex choose? (Round your final answers to nearest whole dollar amount.) PV Annuity Immediate Cash py Option Annuity Payment Option 1 Option 2 Option 3 Which option should Alex choose? Exercise 5-11 (Algo) Deferred annuities (LO5-8) Lincoln Company purchased merchandise from Grandville Corp. on September 30, 2021. Payment was made in the form of a noninterest-bearing note requiring Lincoln to make six annual payments of $7,000 on each September 30, beginning on September 30, 2024. (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. Round your final answer to nearest whole dollar amount.) Required: Calculate the amount at which Lincoln should record the note payable and corresponding purchases on September 30, 2021, assuming that an interest rate of 6% properly reflects the time value of money in this situation. Amount recorded Exercise 5-14 (Algo) Solving for unknown annuity amount (LO5-9) Sandy Kupchack just graduated from State University with a bachelor's degree in history. During her four years at the university, Sandy accumulated $11,750 in student loans. She asks for your help in determining the amount of the quarterly loan payment. She tells you that the loan must be paid back in five years and that the annual interest rate is 8%. Payments begin in nths. (EV Of 51. PV of 51. EVA of $1. PVA of $1. EVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) Required: Determine Sandy's quarterly loan payment. (Round your final answers to nearest whole dollar amount.) Table or calculator function Present value Quarterly payment