Present value of an annuity Consider the following cases. Case Annuity payment A B C D E $ 12,000 55,000 700 140,000 22,500 Interest rate 7% 12 20 5 10 Annuity length (years) 3 15 9 7 5 a. Calculate the present value of the annuity, assuming that it is (1) An ordinary annuity. (2) An annuity due.
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- Value of an Annuity Using the appropriate tables, solve each of the following. Required: 1. Beginning December 31, 2020, 5 equal withdrawals are to be made. Determine the equal annual withdrawals if 30,000 is invested at 10% interest compounded annually on December 31, 2019. 2. Ten payments of 3,000 are due at annual intervals beginning June 30, 2020. What amount will be accepted in cancellation of this series of payments on June 30, 2019, assuming a discount rate of 14% compounded annually? 3. Ten payments of 2,000 are due at annual intervals beginning December 31, 2019. What amount will be accepted in cancellation of this series of payments on January 1, 2019, assuming a discount rate of 12% compounded annually?Find the future value of the ordinary annuity. Interest is compounded annually, unless otherwise indicated. R= $1,000, i- 0.04, n = 13 O $41.626.84 O $15,025.81 O 54002.58Present value of an annuity Consider the following cases. Case ◄AUA- E Amount of annuity $ 12.000 55.000 700 140.000 22.500 Interest rate 12 20 5 10 Period (years) a. Calculate the present value of the annuity assuming that it is (1) An ordinary annuity, mu 9 7 b. Compare your findings in parts al 1) and a(2). All else being identical, which of annuity-ordinary or annuity due-is preferable? Explain why. Personal Finance Problem Tume value-Annuities - Marian Kirk wishes to select the better of two 10-year annuines, C and D. Annuity C is an ordinary annuity of $2,500 per year for 10 years. Annuity D is an annuity due of $2,200 per year for 10 years. delen future value of both annuities at the end of year 10, assuming that
- 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.)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 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.
- Use the table below to answer the following questions: Present Value of an Annuity of 1 Factor 1/2 Yr 1/2 Yr Full-Yr 0.9578 0.9578 0.9174 0.9174 0.8417 1.8753 1.7591 0.8787 0.7722 2.7540 2.5313 0.8417 0.7084 3.5957 3.2397 0.8062 0.6499 4.4019 3.8897 0.7722 0.5963 5.1740 4.4859 Assumption: Required annual effective rate (EPR) of return is 9%. Period 1 2 3 4 5 6 Present Value of 1 Factor O $250,193 O $279,396 O $291,703 O $273,380 Full-Yr 0.9174 If an investment pays you $54,000 every 6 months for 3 years, starting at the beginning of each 6 month period, what is its present value?Future value of an ordinary annuity. Fill in the missing future values in the following table for an ordinary annuity. Number of Payments or Years Annual Interest Rate Present Value Annuity Future Value 10 9% 0 $286.87 ? 18 16% 0 $1,397.76 ? 30 2.5% 0 $721.92 ? 280 1% 0 $553.71 ? Number of Payments or Years Annual Interest Rate Present Value Annuity Future Value 10 9% 0 $286.87 $nothing (Round to the nearest cent.) 18 16% 0 $1,397.76 $nothing (Round to the nearest cent.) 30 2.5% 0 $721.92 $nothing (Round to the nearest cent.) 280 1% 0 $553.71 $nothing (Round to the nearest cent.)Estimating the annual interest rate with an ordinary annuity. Fill in the missing annual interest rates in the following table for an ordinary annuity stream. Number of Payments or Years Annual Interest Rate Future Value Annuity Present Value 10 ? $0.00 $600.00 $2,386.09 18 ? $13,278.73 $354.57 $0.00 40 ? $0.00 $1,872.79 $40,000.00 60 ? $266,564.09 $500.00 $0.00 Number of Payments or Years Annual Interest Rate Future Value Annuity Present Value 10 nothing% (Round to two decimal places.) $0.00 $600.00 $2,386.09 18 nothing% (Round to two decimal places.) $13,278.73 $354.57 $0.00 40 nothing% (Round to two decimal places.) $0.00 $1,872.79 $40,000.00…
- Estimating the annual interest rate with an ordinary annuity. Fill in the missing annual interest rates in the following tal for an ordinary annuity stream: Number of Annual Annuity Present Value Payments or Years Future Value Interest Rate % (Round to two decimal places.) $0.00 $580.00 $2,273.24 % (Round to two decimal places.) $16,708.36 $464.77 $0.00 16 $0.00 $1,941.91 $37,000.00 40 % (Round to two decimal places.) $1,305,012.58 $500.00 $0.00 100 % (Round to two decimal places.)Present 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 cases, Amount of annsity Interest rate Ferind (years) Case $ 12,000 7% B. 55,000 12 15 C 700 20 D. 140,000 E 22,500 10 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 trne of annuity-ordinary or annuity due-is preferable? Explain why.
