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 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.
From the table below, answer comprehensively the following subparts:
a. Which plan do you prefer? Why?
b. How does duration affect the future value of an annuity?
c. How does compounding period affect the future value of an annuity?
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
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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- In 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_forwardThe future value of an annuity due is determined one period after the first cash flow in the series. a.True b.Falsearrow_forwardPlease help with question, thank you much.arrow_forward
- Show 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_forwardThe present value of an annuity is the sum of the discounted value of all future cash flows. You have the opportunity to invest in several annuities. Which of the following 10-year annuities has the greatest present value (PV)? Assume that all annuities earn the same positive interest rate. O An annuity that pays $500 at the beginning of every six months O An annuity that pays $500 at the end of every six months O An annuity that pays $1,000 at the beginning of each year O An annuity that pays $1,000 at the end of each year An ordinary annuity selling at $4,947.11 today promises to make equal payments at the end of each year for the next eight years (N). If the annuity's appropriate interest rate (1) remains at 6.50% during this time, the annual annuity payment (PMT) will be You just won the lottery. Congratulations! The jackpot is $35,000,000, paid in eight equal annual payı The first payment on the lottery jackpot will be made today. In present value terms, you really won -assuming…arrow_forward
- (b) Find the present value of an annuity-immediate such that payments start at 1, increase by annual amounts of 1 to a payment of , and the decrease by annual amounts of 1 to a final payment of 1.arrow_forwardCalculate the compounding factor that would be used to determine the future value of an annuity for an investment of 5.32 years if the appropriate rate of return was set at 8.54 %. a. 6.3988 b. 1.5465 c. 31.4461 d. 5.2618 e. 3.9816arrow_forwardEach payment of an annuity due is compounded for one compounded for one Select- -Select- v period, so the future value of an annuity due is equal to the future value of an ordinary annuity v period. The equation is: FVAdue=FVAordinary (1 + I) The present value of an ordinary annuity, PVAN, is the value today that would be equivalent to the annuity payments (PMT) received at fixed intervals over the annuity period. The equation is: 1- (1+1)N PVAN= PMT Each payment of an annuity due is discounted for one -Select- period, so the present value of an annuity due is equal to the present value of an ordinary annuity multiplied by (1 + I). The equation is: DVA זדתarrow_forward
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