Gitman: Principl Manageri Finance_15 (15th Edition) (What's New in Finance)
15th Edition
ISBN: 9780134476315
Author: Chad J. Zutter, Scott B. Smart
Publisher: PEARSON
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Textbook Question
Chapter 5, Problem 5.41P
Compounding frequency and time value You plan to invest $2,000 in an individual retirement account (IRA) today at a nominal annual rate of 8%, which is expected to apply to all future years.
- a. How much will you have in the account after 10 years if interest is compounded (1) annually, (2) semiannually, (3) daily (assume a 365-day year), and (4) continuously?
- b. What is the effective annual rate (EAR) for each compounding period in part a?
- c. How much greater will your IRA balance be in 10 years if interest compounds continuously rather than annually?
- d. How does the compounding frequency affect the
future value and effective annual rate for a given deposit? Explain in terms of your findings in parts a through c.
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a. You plan to invest $5,000 in an individual retirement arrangement today at a nominal annual interest rate of 10%, which is expected to apply to all future years.
1. How much you will have in the account at the end of 15 years if interest is compounded (1) annually? (2) Semiannually? (3) Quarterly and (4) daily (assume a 365-day a year)?
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You plan to invest $2,000 in an individual retirement arrangement (IRA) today at a stated interest rate of 8 percent, which is expected to apply to all future years.a. How much will you have in the account at the end of 10 years if interest is compounded as follows?(1) Annually(2) Semiannually(3) Daily (assume a 360-day year)(4) Continuouslyb. What is the effective annual rate (EAR) for each compounding period in part a?c. How much greater will your IRA account balance be at the end of 10 years if interest is compounded continuously rather than annually?d. How does the compounding frequency affect the future value and effective annual rate for a given deposit? Explain in terms of your findings in parts a–c.
To supplement your retirement, you estimate that you need to accumulate
$290,000
exactly
41
years from today. You plan to make equal, end-of-year deposits into an account paying
8%
annual interest.
a. How large must the annual deposits be to create the
$290,000
fund by the end of
41
years?
b. If you can afford to deposit only
$800
per year into the account, how much will you have accumulated in
41
years?
Chapter 5 Solutions
Gitman: Principl Manageri Finance_15 (15th Edition) (What's New 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 - What is a perpetuity? Why is the present value of...Ch. 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. 5.6 - 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 - Learning Goal 3 ST5-2 Future values of annuities...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. 5.4PCh. 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 - Learning Goal 2 P5- 9 Single-payment loan...Ch. 5 - Prob. 5.10PCh. 5 - Prob. 5.11PCh. 5 - Prob. 5.12PCh. 5 - Prob. 5.13PCh. 5 - Time value An Iowa state savings bond can be...Ch. 5 - Time value and discount rates You just won a...Ch. 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 - Learning Goal 3 P5-21 Time value: Annuities Marian...Ch. 5 - Learning Goal 3 P5-22 Retirement planning Hal...Ch. 5 - Learning Goal 3 P5-23 Value of a retirement...Ch. 5 - Learning Goal 2, 3 P5-25 Value of an annuity...Ch. 5 - Prob. 5.26PCh. 5 - Prob. 5.30PCh. 5 - Learning Goal 4 P5-31 Value of a single amount...Ch. 5 - Value of mixed streams Find the present value of...Ch. 5 - Prob. 5.33PCh. 5 - Prob. 5.34PCh. 5 - Prob. 5.36PCh. 5 - Prob. 5.37PCh. 5 - Changing compounding frequency Using annual,...Ch. 5 - Prob. 5.39PCh. 5 - Prob. 5.40PCh. 5 - Compounding frequency and time value You plan to...Ch. 5 - Learning Goals 3, 5 P5-42 Annuities and...Ch. 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. 5.52PCh. 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...
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