Individual Assessment 1.b: Simple Annuity DueDirections: Calculate the future value of #1 & 2 and present value of #3, 4 & 5.Length ofAnnuity5 yearsPrincipalInterestMode ofPaymentMonthlyFutureRateValue1.P1,5003.2%2.P3,0008.2%Bi-Monthly3 yearsLength ofAnnuity5 yearsPrincipalInterestMode ofPresentRatePaymentQuarterlyValue3.P4,5005.0%4.Semi-annually4 yearsP10,0007.5%5.P8,5005.5%Annually7 years

The Future Value of Annuity Due is the total future value of each cash flow which is made at the…

Individual Assessment 1.b: Simple Annuity Due Directions: Calculate the future value of #1 & 2 and present value of #3, 4 & 5. Length of Annuity 5 years Principal Interest Mode of Future Rate Value Payment Monthly 1. P1,500 3.2% 2. Р3,000 8.2% Bi-Monthly 3 уears Length of Annuity 5 years Principal Interest Mode of Present Rate Payment Value 3. P4,500 5.0% Quarterly 4. P10,000 7.5% Semi-annually 4 years 5. P8,500 5.5% Annually 7 years

Individual Assessment 1.b: Simple Annuity Due Directions: Calculate the future value of #1 & 2 and present value of #3, 4 & 5. Length of Annuity 5 years Principal Interest Mode of Future Rate Value Payment Monthly 1. P1,500 3.2% 2. Р3,000 8.2% Bi-Monthly 3 уears Length of Annuity 5 years Principal Interest Mode of Present Rate Payment Value 3. P4,500 5.0% Quarterly 4. P10,000 7.5% Semi-annually 4 years 5. P8,500 5.5% Annually 7 years

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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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
Calculate the value of the annuity due without a table. (Do not round intermediate calculations. Round your answer to the nearest cent.) Amount of Payment payable Interest Value of annuity Years payment rate due 2,100 Annually 5 % acer Σ 3. %24
Complete the ordinary annuity. (Please use the following provided Table.) Note: Do not round intermediate calculations. Amount of payment Payment payable Years Interest rate Value of annuity $ 5,000 Annually 11 4 %
Future 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 ???
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 10 19 25 80 Annual Interest Rate % (Round to two decimal places.) % (Round to two decimal places.) % (Round to two decimal places.) % (Round to two decimal places.) Future Value $0.00 $12,286.30 $0.00 $1,435,078.21 C Annuity Present Value $580.00 $444.01 $1,985.57 $450.00 $2,298.49 $0.00 $37,000.00 $0.00
For each of the following annuities, calculate the annuity payment. Note: Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16. Annuity Payment Future Value $ $ $ $ 25.450 1,090,000 928,000 145,000 Years 8 39 25 14 Interest Rate 4% 6 7
For each of the following cases, indicate (a) to what rate columns, and (b) to what number of periods you would refer in looking up the interest factor. 1. In a future value of 1 table: Annual Rate Number of Years Invested Compounded (a) Rate of Interest a. 9% 12 Annually b. 8% 7 Quarterly C. 12% 16 Semiannually % % % (b) Number of Periods 2. In a present value of an annuity of 1 table: (Round "Rate of Interest" answers to 1 decimal place, e.g. 4.5% and other answers to O decimal places, e.g 45.) Annual Number of Years Rate Invested Number of Rents Involved Frequency of Rents (a) Rate of Interest (b) Number of Periods a. 10% 28 28 Annually b. 10% 15 30 Semiannually % % 8% 7 28 Quarterly %
Lepp Complete present value of an ordinary annuity: Note: Round your answer to the nearest cent. Amount of Annuity Expected $ 16,000 Payment Payable Years Quarterly 2 Interest Rate earned 12% Present value
Amount of annuity expected $900 Payment Annually Time 4 years Interest rate 6% Present value (amount needed now to invest to receive annuity) $3,118.59 Check the correctness of annuity payment by completing the following table. Note: Round the answers the nearest cent. Opening balance ces Interest Annuity Closing balance Year 1 Year 2 Year 3 Year 4 3,118.59
Compound Interest Table Complete the following schedule for investments a through f by indicating the relevant factor from the present value or future value table and the final present or future value amount. Investment Compounding a. Annuity b. Annuity Annually Semiannually Semiannually Annually c. Annuity d. Single Payment e. Single Payment Semiannually f. Single Payment Semiannually Factor Answer $ a. $ Annual Interest Rate Amount 5% $2,000 4% 1,000 6% 14,000 •Note: Round your answers to the nearest whole dollar. •Note: Do not use a negative sign (-) with your answers. b. 5% 9,000 6% 16,000 4% 9,600 $ C. Investment $ Period d. $ Payment at Beg. or End e. of Period 2 years End 3 years Beginning 4 years Beginning 6 years n/a 5 years n/a 4 years n/a $ f. Future Value or Present Value Future Present Future Present Future Present
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.
For each of the following annuities, calculate the present value. Note: Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16. Present Value Annuity Payment $ $ $ $ 1,950 1,265 11,455 29,900 Years 7 9 16 24 Interest Rate 8% 7 9 11

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