Foundations Of Finance
10th Edition
ISBN: 9780134897264
Author: KEOWN, Arthur J., Martin, John D., PETTY, J. William
Publisher: Pearson,
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Chapter 5, Problem 31SP
(Compound
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You plan to buy property in Florida 8 years from today. To do this, you estimate that you will need $ 45000 at that time
for the purchase. You would like to accumulate these funds by making equal annual deposits into your savings account,
which pays 9% annually. If you make your first deposit at the end ofthis year, and you would like your accountto reach$
45000 when the final deposit is made, what amount do you need to deposit annually?
(Compound
annuity)
You plan on buying some property in Florida
7
years from today. To do this you estimate that you will need
$30,000
at that time for the purchase. You would like to accumulate these funds by making equal annual deposits in your savings account, which pays
6
percent annually. If you make your first deposit at the end of this year, and you would like your account to reach
$30,000
when the final deposit ismade, what will be the amount of your deposits?
The amount of your end-of-year deposits will be
$nothing.
(Round to the nearest cent.)
Suppose you wish to invest in an annuity so that you will have $120,000 at some future date for your child’s education. You call several institutions and find that the best interest rate is 5.85% compounded monthly. In addition, you wish to make $350 monthly installments, with payments made at the end of each period. If you expect to attain this goal and give your child the $120,000 by his/her 18th birthday, about how long after he/she is born do you need to start investing in the annuity? Type an explanation and/or the calculations used to arrive at your answer.
Construct the payment schedule for the first 6 payments by filling in the table below:
period
interest
cum. int.
principal
balance
0
1
2
3
4
5
6
Chapter 5 Solutions
Foundations Of Finance
Ch. 5 - Prob. 1RQCh. 5 - The processes of discounting and compounding are...Ch. 5 - Prob. 3RQCh. 5 - Prob. 4RQCh. 5 - Prob. 5RQCh. 5 - Prob. 1SPCh. 5 - Prob. 2SPCh. 5 - Prob. 3SPCh. 5 - Prob. 4SPCh. 5 - Prob. 5SP
Ch. 5 - (Compound value) Stanford Simmons, who recently...Ch. 5 - (Future value) Sarah Wiggum would like to make a...Ch. 5 - Prob. 8SPCh. 5 - (Future value) Giancarlo Stanton hit 59 home runs...Ch. 5 - Prob. 10SPCh. 5 - Prob. 11SPCh. 5 - Prob. 12SPCh. 5 - Prob. 13SPCh. 5 - Prob. 14SPCh. 5 - Prob. 15SPCh. 5 - Prob. 16SPCh. 5 - Prob. 17SPCh. 5 - Prob. 18SPCh. 5 - Prob. 19SPCh. 5 - Prob. 20SPCh. 5 - Prob. 21SPCh. 5 - Prob. 22SPCh. 5 - Prob. 23SPCh. 5 - Prob. 24SPCh. 5 - (Solving for PMT of an annuity) To pay for your...Ch. 5 - Prob. 26SPCh. 5 - Prob. 27SPCh. 5 - (Loan amortization) On December 31, Beth Klemkosky...Ch. 5 - (Solving for r of an annuity) You lend a friend...Ch. 5 - Prob. 30SPCh. 5 - (Compound annuity) You plan on buying some...Ch. 5 - (Loan amortization) On December 31, Son-Nan Chen...Ch. 5 - (Loan amortization) To buy a new house you must...Ch. 5 - Prob. 34SPCh. 5 - Prob. 35SPCh. 5 - Prob. 36SPCh. 5 - Prob. 37SPCh. 5 - Prob. 38SPCh. 5 - (Compound interest uith nonannnal periods) a....Ch. 5 - (Compound interest with nonannual periods) After...Ch. 5 - Prob. 41SPCh. 5 - (Spreadsheet problem) To buy a new house you take...Ch. 5 - (Nonannual compounding using a calculator) Jesse...Ch. 5 - (Nonannual compounding using a calculator)...Ch. 5 - (Nonannual compounding using a calculator) Fords...Ch. 5 - Prob. 46SPCh. 5 - (Nonannual compounding using a calculator) Dennis...Ch. 5 - Prob. 48SPCh. 5 - (Calculating the effective annual rate) Youve just...Ch. 5 - Prob. 50SPCh. 5 - Prob. 51SPCh. 5 - (Present value) The Kumar Corporation is planning...Ch. 5 - (Perpetuities) What is the present value of the...Ch. 5 - (Complex present value) How much do you have to...Ch. 5 - (Complex present value) You would like to have...Ch. 5 - Prob. 56SPCh. 5 - Prob. 57SPCh. 5 - Prob. 58SPCh. 5 - Prob. 59SPCh. 5 - (Present value of a complex stream) Don Draper has...Ch. 5 - (Present value of a complex stream) Don Draper has...Ch. 5 - (Complex stream of cash flows) Roger Sterling has...Ch. 5 - (Future and present value using a calculator) In...Ch. 5 - Prob. 1MCCh. 5 - Prob. 2MCCh. 5 - Prob. 3MCCh. 5 - Prob. 4MCCh. 5 - Prob. 5MCCh. 5 - Prob. 6MCCh. 5 - Prob. 7MCCh. 5 - Prob. 8MCCh. 5 - Prob. 9MCCh. 5 - Prob. 10MCCh. 5 - Prob. 11MC
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.Similar questions
- Use the tables in Appendix B to answer the following questions. A. If you would like to accumulate $4,200 over the next 6 years when the interest rate is 8%, how much do you need to deposit in the account? B. If you place $8,700 in a savings account, how much will you have at the end of 12 years with an interest rate of 8%? C. You invest $2,000 per year, at the end of the year, for 20 years at 10% interest. How much will you have at the end of 20 years? D. You win the lottery and can either receive $500,000 as a lump sum or $60,000 per year for 20 years. Assuming you can earn 3% interest, which do you recommend and why?arrow_forwardYou want to accumulate $1 million by your retirement date, which is 25 years from now. You will make 25 deposits in your bank, with the first occurring today. The bank pays 8% interest, compounded annually. You expect to receive annual raises of 3%, which will offset inflation, and you will let the amount you deposit each year also grow by 3% (i.e., your second deposit will be 3% greater than your first, the third will be 3% greater than the second, etc.). How much must your first deposit be if you are to meet your goal?arrow_forwardYou are planning to save for your retirement during the next 30 years. You want to be able to withdraw $120,000 from your savings account every year for the next 20 years after you retire. You plan to invest your savings in a local bank, which offers 8% APR compounded monthly, and make equal annual payments into this savings account. What amount should be deposited annually in this savings account in order to withdraw $120,000 every year after your retirement?arrow_forward
- Today is your birthday and you decide to start saving for your retirement. You will retire on your 60th birthday and need $40,000 per year at the end of each of the following 15 years. You will make the first deposit one year from today in an account paying 9% interest annually and continue to make an equal amount of deposit each year up to the year before you plan to retire. If an annual deposit of $967.28 will allow you to reach your goal, what birthday are you celebrating today'!arrow_forward(Future value of an annuity) In 7 years you are planning on retiring and buying a house in Oviedo, Florida. The house you are looking at currently costs $100,000 and is expected to increase in value each year at a rate of 4 percent. Assuming you can earn 12 percent annually on your investments, how much must you invest at the end of each of the next 7 years to be able to buy your dream home when you retire? a. If the house you are looking at currently costs $100,000 and is expected to increase in value each year at a rate of 4 percent, what will the value of the house be when you retire in 7 years? $nothing (Round to the nearest cent.)arrow_forwardToday is your birthday and you decide to start saving for your retirement. You will retire on your 65th birthday and will need $70000 per year at the end of each of following 20 years. You will make a first deposit 1 year from today in an account paying 20% interest annually and continue to make an identical deposit each year up to and including the year you plan to retire. If an annual deposit of $6,800 will allow you to reach your goal what birthday are you celebrating today?arrow_forward
- Your insurance company offered you an annuity that pays you $100 at the end of each year. The life of the annuity is 10 years. Assume that market interest rate you can earn on similar risky investments is 8%. What should be the present value of this annuity? If you are given the first payment immediately starting today, what should be the worth of this annuity? Which payment mode will you accept? What will be basis of your decision under time value of money concept?arrow_forwardAfter retirement, you expect to live for 25 years. You would like to have a $95,000 income each year. The annual interest rate is 9 percent per year. Required: Calculate the amount of savings you have in your retirement account to receive this income. A) Assume that the payments start on the day of your retirement. B) Assume that the payments start one year after the retirement.arrow_forward(Future value of an ordinary annuity) You are graduating from college at the end of this semester and after reading the The Business of Life box in thischapter, you have decided to invest $4,700 at the end of each year into a Roth IRA for the next 40 years. If you earn 8 percent compounded annually on your investment, how much will you have when you retire in 40 years? How much will you have if you wait 10 years before beginning to save and only make 30 payments into your retirement account?arrow_forward
- To supplement your planned retirement in exactly 42 years, you estimate that you need to accumulate $220,000 by the end of 42 years from today. You plan to make equal annual end-of-year deposits into an account paying 8 percent annual interest.a. How large must the annual deposits be to create the $220,000 fund by the end of 42 years?b. If you can afford to deposit only $600 per year into the account, how much will you have accumulated by the end of the forty-second year?arrow_forwardTo 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?arrow_forward
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