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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Chapter 5, Problem 5.60P
Summary Introduction
To calculate: Time period.
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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…
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The future value of an annuity due is:
one period after the final payment.
one period before the final payment.
at the same point in time as the final payment.
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. (i = interest rate, and n = number of years) (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided. Round your final answers to nearest whole dollar amount.)
Present Value
Annuity Amount
i =
n =
1.
?
$2,400
8%
5
2.
533,082
140,000
?
4
3.
583,150
180,000
9%
?
4.
530,000
75,502
?
8
5.
235,000
?
10%
4
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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