Future value of an annuity Using the values below, answer the questions that follow. (Click on the icon here O 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.

Future value of an annuity Using the values below, answer the questions that follow. (Click on the icon here O 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.

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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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 $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 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.) C
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.) (…)
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 5 16 Annual Interest Rate 8% 18% Data table 5 16 25 340 Present Value (Click on the following icon Number of Payments or Years Annual Interest Rate 8% 18% 4% 0.9% 0 0 Annuity $282.81 $1,331.99 in order to copy its contents into a spreadsheet.) 0 0 0 0 Present Value Annuity $282.81 $1,331.99 $726.91 $460.85 Future Value $1,659.13 (Round to the nearest cent.) (Round to the nearest cent.) Future Value ? ? ? ? X
Calculate the present value of the following annulties, 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 S1) (Use tables, Excel, or a financial calculator. Round your answers to 2 decimal places.) \table[[, \table[[Annuity], [Payment]], \table [[ Annual], [Rate]], \table[[Interest], [Compounded]], \table [[Period], [Invested]], \table [[Present Value of], [ Annuity]]], [1., $5,000, 7.0%, Semiannually,3 years,], [2., 10, 000, 8.0%, Quarterly,2 years, ], [3., 4,000, 10.0 %, Annually,5 years,]]
Use Table 12-2 to calculate the present value (in $) of the annuity due. (Round your answer to the nearest cent.)
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.) 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 Annuity
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, EVA of $1, and PVA of $1) (Use tables, Excel, or a financial calculator. Round your answers to 2 decimal places.) 1. Annuity Payment $ 3,700 Annual Rate Interest Period Compounded Invested Future Value of Annuity 7.0% Semiannually 9 years 2. 6,700 8.0% Quarterly 5 years 3. 5,700 12.0% Annually 6 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 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 Annuity
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. (/= interest rate, and n= number of years) Note: Use tables, Excel, or a financial calculator. Round your final answers to nearest whole dollar amount. (FV of $1. PV of $1. FVA of $1. PVA of $1. EVAD of $1 and PVAD of $1) 1. $ 2 3 4. 15 Present Value Answer is complete but not entirely correct. Annuity Amount 2.200 145,000 190,000 72.523 45,787 8,784 558,865 480,945 520,000 240,000 8% 1.0% 9% 2.5% 10% n= 5 4 30 8 4
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?

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