Principles of Managerial Finance (14th Edition) (Pearson Series in Finance)
14th Edition
ISBN: 9780133507690
Author: Lawrence J. Gitman, Chad J. Zutter
Publisher: PEARSON
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Question
Chapter 5, Problem 5.26P
Summary Introduction
To calculate:
Introduction:
Present value (PV): The present value refers to the today’s value of a future amount.
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2. Consider the data in the following table:
Perpetuity Annual amount discount rateA 100,000 10B 3,000 6
Determine the present value of each perpetuity.
For each of the following cases, calculate the present value of the annuity, assuming the annuity cash flows occur at the end of each year.
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A perpetuity has payments of 1, 1.2, 1, 1, 3, 1, 1, 4. Payments are made at the end of each year. Assuming an annual effective interest rate
of 5%, find the present value of the perpetuity.
A
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Chapter 5 Solutions
Principles of Managerial Finance (14th Edition) (Pearson Series in Finance)
Ch. 5.1 - What is the difference between future value and...Ch. 5.1 - Define and differentiate among the three basic...Ch. 5.2 - Prob. 5.3RQCh. 5.2 - Prob. 5.4RQCh. 5.2 - Prob. 5.5RQCh. 5.2 - Prob. 5.6RQCh. 5.2 - Prob. 5.7RQCh. 5.3 - What is the difference between an ordinary annuity...Ch. 5.3 - What are the most efficient ways to calculate the...Ch. 5.3 - How can the formula for the future value of an...
Ch. 5.3 - Prob. 5.13RQCh. 5.3 - Prob. 5.14RQCh. 5.4 - How do you calculate the future value of a mixed...Ch. 5.5 - What effect does compounding interest more...Ch. 5.5 - Prob. 5.21RQCh. 5.5 - Differentiate between a nominal annual rate and an...Ch. 5.5 - Prob. 1FOECh. 5.6 - Prob. 1FOPCh. 5.6 - How can you determine the size of the equal,...Ch. 5.6 - Prob. 5.27RQCh. 5.6 - How can you determine the unknown number of...Ch. 5 - Learning Goals 2, 5 ST5-1 Future values for...Ch. 5 - Prob. 5.3STPCh. 5 - Learning Goal 6 ST5-4 Deposits needed to...Ch. 5 - Assume that a firm makes a 2,500 deposit into a...Ch. 5 - Prob. 5.2WUECh. 5 - Prob. 5.3WUECh. 5 - Your firm has the option of making an investment...Ch. 5 - Joseph is a friend of yours. He has plenty of...Ch. 5 - Jack and Jill have just had their first child. If...Ch. 5 - Prob. 5.1PCh. 5 - Learning Goal 2 P5-2 Future value calculation...Ch. 5 - Prob. 5.3PCh. 5 - Prob. 5.4PCh. 5 - Prob. 5.5PCh. 5 - Learning Goal 2 P5- 6 Time value As part of your...Ch. 5 - Learning Goal 2 P5-7 Time value you can deposit...Ch. 5 - Learning Goal 2 P5-8 Time value Misty needs to...Ch. 5 - Prob. 5.9PCh. 5 - Prob. 5.10PCh. 5 - Prob. 5.11PCh. 5 - Prob. 5.12PCh. 5 - Prob. 5.13PCh. 5 - Prob. 5.14PCh. 5 - Prob. 5.15PCh. 5 - Prob. 5.16PCh. 5 - Cash flow investment decision Tom Alexander has an...Ch. 5 - Learning Goal 2 P5-18 Calculating deposit needed...Ch. 5 - Future value of an annuity for each case in the...Ch. 5 - Present value of an annuity Consider the following...Ch. 5 - Prob. 5.21PCh. 5 - Learning Goal 3 P5-22 Retirement planning Hal...Ch. 5 - Learning Goal 3 P5-23 Value of a retirement...Ch. 5 - Prob. 5.24PCh. 5 - Learning Goal 2, 3 P5-25 Value of an annuity...Ch. 5 - Prob. 5.26PCh. 5 - Prob. 5.27PCh. 5 - Prob. 5.28PCh. 5 - Prob. 5.29PCh. 5 - Prob. 5.30PCh. 5 - Prob. 5.31PCh. 5 - Prob. 5.32PCh. 5 - Prob. 5.33PCh. 5 - Prob. 5.34PCh. 5 - Prob. 5.35PCh. 5 - Prob. 5.36PCh. 5 - Prob. 5.37PCh. 5 - Prob. 5.38PCh. 5 - Prob. 5.39PCh. 5 - Prob. 5.40PCh. 5 - Learning Goals 3, 5 P5-42 Annuities and...Ch. 5 - Prob. 5.42PCh. 5 - Prob. 5.43PCh. 5 - Prob. 5.44PCh. 5 - Prob. 5.45PCh. 5 - Prob. 5.46PCh. 5 - Prob. 5.47PCh. 5 - Loan amortization schedule Joan Messineo borrowed...Ch. 5 - Prob. 5.49PCh. 5 - Prob. 5.50PCh. 5 - Prob. 5.51PCh. 5 - Prob. 5.52PCh. 5 - Prob. 5.53PCh. 5 - Prob. 5.54PCh. 5 - Prob. 5.55PCh. 5 - Prob. 5.56PCh. 5 - Prob. 5.57PCh. 5 - Number of years needed to acccumulate a future...Ch. 5 - Prob. 5.59PCh. 5 - Prob. 5.60PCh. 5 - Time to repay Installment loan Mia Saito wishes to...Ch. 5 - Prob. 5.62P
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- Find the future value and the present value of each ordinary annuity.arrow_forwardA perpetuity pays $85 per year and costs $3,580. What is the rate of return? Select the correct answer. O a. 4.17% Ob. 3.27% O c.0.57% d. 2.37% O e. 1.47%arrow_forwardDUE AND PERPETUITY show formula and solution used.arrow_forward
- 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 Annuityarrow_forward6. Calculating Annuity Values For each of the following annuities, calculate the present value. Annuity Payment Years $ 1,750 7 1,390 9 17,500 18 50,000 28 Interest Rate 5% 10 8 14arrow_forwardFinding the compound sum of $1,000 to be received at the beginning of each of the next 5 years requires calculating the _____. a. future value of an annuity due b. future value of an annuity c. present value of an annuity d. present value of an annuity duearrow_forward
- 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 Annuityarrow_forward6. 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 8arrow_forwardA perpetuity paying $3, 000 at the beginning of each two years has the same present value as another perpetuity with level payments, this one having payments at the end of each three years. Express the level payment amount of the second perpetuity, P, as a function of the annual effective interest rate i.arrow_forward
- In the following ordinary annuity, the interest is compounded with each payment, and the payment is made at the end of the compounding period. Find the amount of time needed for the sinking fund to reach the given accumulated amount. (Round your answer to two decimal places.) $295 monthly at 5.8% to accumulate $25,000.arrow_forwardDetermine a series that represents the present value of a perpetuity of $1,000 at an annual interest rate of 6%.arrow_forwardFind the present value of a perpetuity paying $50,000 annually if the discount rate is 6%.arrow_forward
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