The table below contains information on four different annuities. a) Calculate the future value of each annuity if it is i) An ordinary annuity ii) An annuity due b) Compare your findings. All else being identical, which typ of annuity-ordinary annuity or annuity due is preferable? Why? art Annual CF Interest Rate Deposit Period (Years) A B C $1,000 $1,200 $6,000 $20.000 3% 6% 8% 12% 582 12 15
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- 6. Present Value of an Annuity The table below contains information on four different annuities. a) Calculate the present value of each annuity if it is i) An ordinary annuity ii) An annuity due b) Compare your findings. All else being identical, which type of annuity-ordinary annuity or annuity due-is preferable? Why? Part Annual CF Interest Rate Deposit Period A $12,000 B $52,000 C $20,000 D $24,000 8% 10% 6% 12% (Years) 8 15 20 8Present value of an annuity Consider the following case. (Click on the icon here in order to copy the contents of the data table below into a spreadsheet.) Interest rate Period (years) 7% 14 Amount of annuity $42,000 a. Calculate the present value of the annuity assuming that it is (1) An ordinary annuity. (2) An annuity due. b. Compare your findings in parts a (1) and a(2). All else being identical, which type of annuity-ordinary or annuity due-is preferable? Explain why. The present value of the ordinary annuity is $. (Round to the nearest cent.) (…)Present value of an annuity Consider the following case. (Click on the icon located on the top-right corner of the data table below in order to copy its contents into a spreadsheet.) Amount of annuity Interest rate Period (years) $26,000 9% 4 a. Calculate the present value of the annuity assuming that it is (1) An ordinary annuity. (2) An annuity due. b. Compare your findings in parts a(1) and a(2). All else being identical, which type of annuity—ordinary or annuity due—is preferable? Explain why.
- Future value of an annuity Using the values below, answer the questions that follow. (Click on the icon here in order to copy the contents of the data table below into a spreadsheet.) Amount of annuity $4,000 Interest rate 5% Deposit period (years) 11 a. Calculate the future value of the annuity, assuming that it is (1) An ordinary annuity. (2) An annuity due. b. Compare your findings in parts a(1) and a(2). All else being identical, which type of annuity-ordinary or annuity due-is preferable as an investment? Explain why. a. (1) The future value of the ordinary annuity is $. (Round to the nearest cent.) CFuture value of an annuity Using the values below, answer the questions that follow. (Click on the icon here in order to copy the contents of the data table below into a spreadsheet.) Amount of annuity $5,000 Interest rate 6% Deposit period (years) 7 a. Calculate the future value of the annuity, assuming that it is (1) An ordinary annuity. (2) An annuity due. b. Compare your findings in parts a(1) and a(2). All else being identical, which type of annuity-ordinary or annuity due is preferable as an investment? Explain why.Future value of an annuity Using the values below, answer the questions that follow. (Click on the icon here 9 in order to copy the contents of the data table below into a spreadsheet.) Amount of annuity Interest rate Deposit period (years) $6,000 8% 10 a. Calculate the future value of the annuity, assuming that it is (1) An ordinary annuity. (2) An annuity due. b. Compare your findings in parts a(1) and a(2). All else being identical, which type of annuity-ordinary or annuity due-is preferable as an investment? Explain why. ..... a. (1) The future value of the ordinary annuity is $ (Round to the nearest cent.) (2) The future value of the annuity due is $ (Round to the nearest cent.) b. Compare your findings in parts a(1) and a(2). All else being identical, which type of annuity is preferable as an investment? (Select the best answer below.) Ordinary annuity, because it yields a greater future value. Annuity due, because it yields a greater future value.
- Calculate the present value of the following annuities, assuming each annuity payment is made at the end of each compounding period. (FV of $1. PV of $1. FVA of $1, and PVA of $1) (Use tables, Excel, or a financial calculator. Round your answers to 2 decimal places.) 1. 2. 3. Annuity Payment $ 5,600 10,600 4,600 Annual Rate Interest Compounded Semiannually 9.0% 10.0% Quarterly 11.0% Annually Period Invested 3 years 2 years 5 years Present Value of AnnuityCalculate the future value of the following annuities, assuming each annuity payment is made at the end of each compounding period. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use appropriate factor(s) from the tables provided. Round your answers to 2 decimal places.) 1. 2. 3. Annuity Annual Payment Rate $4,700 6.0 % 8.0 % 7,700 6,700 10.0 % Show Transcribed Text 1. 2. 3. Annuity Annual Payment Rate Interest Compounded Quarterly Annually Semiannually $ 5,700 Interest Compounded 8.0 % Quarterly 10,700 11.0% Annually 4,700 10.0 % Semiannually Period Invested 5 years 6 years 9 years Calculate the present value of the following annuities, assuming each annuity payment is made at the end of each compounding period. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use appropriate factor(s) from the tables provided. Round your answers to 2 decimal places.) $ Period Invested 2 years 5 years 3 years Future Value of Annuity 172,892.28 Present Value of AnnuityFuture Value of an Annuity Calculate the future value. Present Value Interest Rate $0.00 10% monthly Payments $475.00 monthly Number of Payments per Year: PY= a. Determine the annuity type. O Ordinary Simple Annuity O Ordinary General Annuity O Simple Annuity Due O General Annuity Due b. Identify the following pieces of information to be used to calculate the future value of the annuity. Periodic Payment: PMT Total Number of Payments: N= Annual Interest Rate: r = Number of Compoundings per Year: CY c. Determine the future value of the annuity. Timing of Payment Years End 19 = Future Value ???
- Present value of an ordinary annuity. Fill in the missing present values in the following table for an ordinary annuity. Number of Payments or Years Annual Interest Rate Future Value Annuity Present Value 5 8% 0 $213.22 ? 16 15% 0 $3,317.78 ? 29 4.5% 0 $674.57 ? 300 1% 0 $2,538.86 ? Number of Payments or Years Annual Interest Rate Future Value Annuity Present Value 5 8% 0 $213.22 $nothing (Round to the nearest cent.)For each of the following situations involving annuities, solve for the unknown (?). Assume that interest is compounded annually and that all annuity amounts are received at the end of each period. (i = interest rate, and n = number of years) Present Value Annuity Amount i n1. ? $ 3,000 8% 52. $ 242,980 75,000 ? 43. 161,214 20,000 9 ?4. 500,000 80,518 ? 85. 250,000 ? 10 4 Sandy Kupchack just graduated from State University with a bachelor’s degree in history. During her four years at the university, Sandy accumulated $12,000 in student loans. She asks for your help in determining the…Calculate the future value of the following annuities, assuming each annuity payment is made at the end of each compounding period. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use appropriate factor(s) from the tables provided. Round your answers to 2 decimal places.) Annuity Payment Annual Rate Interest Compounded Period Invested Future Value of Annuity 1. $3,100 8.0 % Semiannually 9 years $79,500.77 2. 6,100 10.0 % Quarterly 5 years 3. 5,100 12.0 % Annually 6 years