EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN: 9781337514835
Author: MOYER
Publisher: CENGAGE LEARNING - CONSIGNMENT
expand_more
expand_more
format_list_bulleted
Question
Twenty years ahead of her retirement, Kelly opened a savings account that earns 5% interest rate compounded continuously, and she contributed to this account at the annual rate of $1200 per year for 20 years. Ten years ahead of his retirement, John opened a similar savings account that earns 5% interest rate compounded continuously and decided to double the annual rate of contribution to $2400 per year for 10 years. Who has more money in his or her savings account at retirement?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps
Knowledge Booster
Learn more about
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
- Eugene began to save for his retirement at age 26, and for 10 years he put $ 425 per month into an ordinary annuity at an annual interest rate of 9% compounded monthly. After the 10 years, Eugene was unable to make the monthly contribution of $ 425, so he moved the money from the annuity into another account that earned 8% interest compounded monthly. He left the money in this account for 29 years until he was ready to retire. How much money did he have for retirement? Retirement amount =arrow_forwardEugene began to save for his retirement at age 35, and for 15 years he put $ 325 per month into an ordinary annuity at an annual interest rate of 8% compounded monthly. After the 15 years, Eugene was unable to make the monthly contribution of $ 325, so he moved the money from the annuity into another account that earned 8% interest compounded monthly. He left the money in this account for 15 years until he was ready to retire. How much money did he have for retirement? If Eugene had waited until he was 44 years old to start saving for retirement and then decided to put money into an ordinary annuity for 21 years earning 8% interest compounded monthly, what monthly payment would he have to make to accumulate the same amount for retirement as you found in the first part of the question?arrow_forwardEugene began to save for his retirement at age 27, and for 14 years he put $ 275 per month into an ordinary annuity at an annual interest rate of 5% compounded monthly. After the 14 years, Eugene was unable to make the monthly contribution of $ 275, so he moved the money from the annuity into another account that earned 5% interest compounded monthly. He left the money in this account for 24 years until he was ready to retire. How much money did he have for retirement? Retirement amount = If Eugene had waited until he was 42 years old to start saving for retirement and then decided to put money into an ordinary annuity for 23 years earning 5% interest compounded monthly, what monthly payment would he have to make to accumulate the same amount for retirement as you found in the first part of the question? Retirement amount =arrow_forward
- Eugene began to save for his retirement at age 24, and for 12 years he put $ 375 per month into an ordinary annuity at an annual interest rate of 9% compounded monthly. After the 12 years, Eugene was unable to make the monthly contribution of $ 375, so he moved the money from the annuity into another account that earned 5% interest compounded monthly. He left the money in this account for 29 years until he was ready to retire. How much money did he have for retirement?arrow_forwardTwo people plan to invest $50,000. Matt is going to invest it in one lump sum and leave it in the account for 25 years to use for retirement. Sarah is going to invest $2000 per year for 25 years and will also use the money in the account for retirement. Is it reasonable to expect that Matt will have more money in his account than Sarah does in 25 years if both accounts earn the same interest?arrow_forwardGinger Rogers deposits $3,000 a year into her retirement account. If these funds have an average earning of 8 percent over the 40 years until her retirement, what will be the value of her retirement account?arrow_forward
- Monique contributed $500.00 every month into an RRSP for 15 years. What nominal annual rate of interest will the RRSP earn if the balance in Monique's account just after she made her last contribution was $200,000.00arrow_forwardGilberto opened a savings account for his daughter and deposited $800 on the day she was born. Each year on her birthday, he deposited another $800. If the account pays 10.5% interest, compounded annually, how much is in the account at the end of the day on her 14th birthday? At the end of the day on her 14th birthday, the amount in the account is $. (Simplify your answer. Type an integer or a decimal. Round to the nearest cent if needed.)arrow_forwardSuppose your friend is celebrating her 35th birthday today and wants to start saving for her anticipated retirement at age 65. She wants to be able to withdraw $80,000 from her savings account on each birthday for 15 years following her retirement; the first withdrawal will be on her 66th birthday. Your friend intends to invest her money in the local credit union, which offers 9 percent interest per year. She wants to make equal annual payments on each birthday into the account established at the credit union for her retirement fund. If she starts making these deposits on her 36th birthday and continues to make deposits until she is 65 (the last deposit will be on her 65th birthday), what amount must she deposit annually to be able to make the desired withdrawals at retirement? b) Suppose your friend has just inherited a large sum of money. Rather than making equal annual payments, she has decided to make one lump-sum payment on her 35th birthday to cover her retirement needs.…arrow_forward
- Justin is saving for his retirement 21 years from now by setting up a savings plan. He has set up a savings plan wherein he will deposit $104.00 at the end of every six months for the next 11 years. Interest is 7% compounded semi-annually. (a) How much money will be in his account on the date of his retirement? (b) How much will Justin contribute? (c) How much will be interest?arrow_forwardYour great-uncle Claude is 82 years old. Over the years, he has accumulated savings of $80,000. He estimates that he will live another 10 years at the most and wants to spend his savings by then. (If he lives longer than that, he figures you will be happy to take care of him) Uncle Claude places his $80,000 into an account earning10 percent annually and sets it up in such a way that he will be making 10 equal annual withdrawals-the first one occurring one year from now- such that his account balance will be zero at the end of 10 years. How much will he be able to with draweach year?arrow_forwardYour friend is celebrating his 25th birthday today and wants to start saving for his retirement at age 65. He wants to be able to withdraw $100,000 from his savings account each birthday for 20 years following his retirement, and the first withdrawal will be on his 66th birthday. Your friend wants to invest his savings in the local bank, which offers 6 percent interest per year, and he wants to make equal annual payments on each birthday into his bank account. What amount should be deposited annually by your friend in order to withdraw $100,000 every year after retirement? Please show your work.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- EBK CONTEMPORARY FINANCIAL MANAGEMENTFinanceISBN:9781337514835Author:MOYERPublisher:CENGAGE LEARNING - CONSIGNMENT
- Excel Applications for Accounting PrinciplesAccountingISBN:9781111581565Author:Gaylord N. SmithPublisher:Cengage Learning
EBK CONTEMPORARY FINANCIAL MANAGEMENT
Finance
ISBN:9781337514835
Author:MOYER
Publisher:CENGAGE LEARNING - CONSIGNMENT
Excel Applications for Accounting Principles
Accounting
ISBN:9781111581565
Author:Gaylord N. Smith
Publisher:Cengage Learning