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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Chapter 5, Problem 5.60P
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To calculate: Time period.
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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.
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…
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
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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- 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.)arrow_forwardFor 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= ______________ $ 2,600 8% 5 507,866 135,000 _____ 4 661,241 170,000 9% ____ 540,000 78,557 _____ 8 230,000 _____________ 10% 4arrow_forwardNumber of years to provide a given return In the information given in following case, determine the number of years that the given oridinary annuity cash flows must continue in order to provide the rate of return on the initial amount. (Click on the icon located on the top-right corner of the data table below in order to copy its contents into a spreadsheet.) Initial amount $112,100 Annual cash flow $25,622 Rate of return C 5% The number of investment years, n, is years. (Round to two decimal places.)arrow_forward
- 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) Present Value Annuity Amount i = n = $3,000 75,000 20,000 80,518 1 2 3 4 5 242,980 161,214 500,000 250,000 8% 9% 10% 5 4 8 4arrow_forwardNumber of years to provide a given return In the information given in following case, determine the number of years that the given oridinary annuity cash flows must continue in order to provide the rate of return on the initial amount Initial amount $185,500 Annual cash flow $71,963 Rate of return 14% The number of investment years, n, is enter your response here years.arrow_forwardIn the information given int he following case, determine the number of years that the given oridinay annuity cash flows must continue inorder to provide the rate of return on the intial amount. Initial amount: $26,800 Annual Cash Flow: $6,561 Rate of Return: 6%arrow_forward
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- 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 receivedarrow_forwardShow that the present value of annuaity due is one period accumulated value of the present value of annuity immediate.arrow_forwarda. Calculate the annual cash flows ( annuity payments) from a fixed- payment annuity if the present value of the 20-year annuity is $1.4 million and the annuity earns a guaranteed annual return of 10 percent. The payments are to begin at the end of the current year. b. Calculate the annual cash flows (annuity payments) from a fixed - payment annuity if the present value of the 20-year annuity is $1.4 million and the annuity earns a guaranteed annual return of 10 percent. The payments are to begin at the end of six years.arrow_forward
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