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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Textbook Question
Chapter 5, Problem 5.58P
Number of years needed to acccumulate a future amount For each of the following cases, determine the number of years it will take for the initial deposit to grow to equal the future amount at the given interest rate.
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The present value of an annuity is the amount needed now so that desired annuity payments may be made in the future. In this scenario annuity payments will be made at the beginning of each month. Thus, this is an annuity due. To find the present value of this annuity, the amount of money that should be deposited in an account now, the interest rate per period must first be found. The interest rate per period is calculated using the nominal, or annual, rate and the number of periods per year as follows.
interest rate per period =
nominal rate
periods per year
The rate was given to be 6%. Interest is compounded monthly, or 12 times per year. Find the interest rate per period.
interest rate per period
=
nominal rate
periods per year
=
%
12
=
%
The total number of compounding periods will be 1 less than the number of years annuity payments will be made multiplied by the number of compounding periods per year. There are 12…
Which of the following changes would
increase the present value of a future
payment? (check all that apply)
Decrease in the number of years
until the future payment is received
Increase in the interest rate
Increase in the amount of the
payment
Decrease in the interest rate
Increase in the number of years
until the future payment is received
For the follwing case, determine the number of years it wll take for the intitial deposit to grow to equal the future amount the given interest rate.
Initial Deposit
Future Amount
Interest Rate
$9,998
$18,400
17%
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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- You have been depositing money into an account yearly based on the following investment amounts, rates and times. What is the value of that Investment account at the end of that period?arrow_forwardFor 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 (b) Number of Periods a. 11% 10 Annually % b. 8% 8 Quarterly % c. 10% 19 Semiannually % 2. In a present value of an annuity of 1 table: (Round answers to 1 decimal place, e.g. 458,58.1.) Annual Rate Number of Years Invested Number of Rents Involved Frequency of Rents (a) Rate of Interest (b) Number of Periods a. 12% 30 30 Annually % b. 11% 16 32 Semiannually % c. 12% 8 32 Quarterly %arrow_forwardcalculate and show the proper solution in determining the interest rate compounded quarterlyarrow_forward
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