5-56. (Comprehensive present value) You are trying to plan for retirement in 10 years, and currently you have $100,000 in a savings account and $300,000 in stocks. In addition, you plan on adding to your savings by depositing $10,000 per year in your savings account at the end of each of the next 5 years and then $20,000 per year at the end of each year for the final 5 years until retirement. 1. Assuming your savings account returns 7 percent compounded annually, and your investment in stocks will return 12 percent compounded annually, how much will you have at the end of 10 years? (Ignore taxes.) 2. If you expect to live for 20 years after you retire, and at retirement you deposit all of your savings in a bank account paying 10 percent, how much can you withdraw each year after retirement (20 equal withdrawals beginning 1 year after you retire) to end up with a zero balance upon your death?

5-56. (Comprehensive present value) You are trying to plan for retirement in 10 years, and currently you have $100,000 in a savings account and $300,000 in stocks. In addition, you plan on adding to your savings by depositing $10,000 per year in your savings account at the end of each of the next 5 years and then $20,000 per year at the end of each year for the final 5 years until retirement. 1. Assuming your savings account returns 7 percent compounded annually, and your investment in stocks will return 12 percent compounded annually, how much will you have at the end of 10 years? (Ignore taxes.) 2. If you expect to live for 20 years after you retire, and at retirement you deposit all of your savings in a bank account paying 10 percent, how much can you withdraw each year after retirement (20 equal withdrawals beginning 1 year after you retire) to end up with a zero balance upon your death?

Pfin (with Mindtap, 1 Term Printed Access Card) (mindtap Course List)

7th Edition

ISBN:9780357033609

Author:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk

Publisher:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk

Chapter4: Managing Your Cash And Savings

Section: Chapter Questions

Problem 7FPE: Calculating interest earned and future value of savings account. If you put 6,000 in a savings...

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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?
You put $250 in the bank for S years at 12%. A. If interest is added at the end of the year, how much will you have in the bank after one year? Calculate the amount you will have in the bank at the end of year two and continue to calculate all the way to the end of the fifth year. B. Use the future value of $1 table in Appendix B and verity that your answer is correct.
Use the tables in Appendix B to answer the following questions. A. If you would like to accumulate $2,500 over the next 4 years when the interest rate is 15%, how much do you need to deposit in the account? B. If you place $6,200 in a savings account, how much will you have at the end of 7 years with a 12% interest rate? C. You invest $8,000 per year for 10 years at 12% interest, how much will you have at the end of 10 years? D. You win the lottery and can either receive $750,000 as a lump sum or $50,000 per year for 20 years. Assuming you can earn 8% interest, which do you recommend and why?
Calculating interest earned and future value of savings account. If you put 6,000 in a savings account that pays interest at the rate of 3 percent, compounded annually, how much will you have in five years? (Hint: Use the future value formula.) How much interest will you earn during the five years? If you put 6,000 each year into a savings account that pays interest at the rate of 4 percent a year, how much would you have after five years?
Refer to the present value table information on the previous page. What amount should Brett have in his bank account today, before withdrawal, if he needs 2,000 each year for 4 years, with the first withdrawal to be made today and each subsequent withdrawal at 1-year intervals? (Brett is to have exactly a zero balance in his bank account after the fourth withdrawal.) a. 2,000 + (2,000 0.926) + (2,000 0. 857) + (2,000 0.794) b. 2,0000.7354 c. (2,000 0.926) + (2,000 0.857) + (2,000 0.794) + (2,000 0.735) d. 2,0000.9264
How much would you invest today in order to receive $30,000 in each of the following (for further Instructions on present value In Excel, see Appendix C): A. 10 years at 9% B. 8 years at 12% C. 14 years at 15% D. 19 years at 18%
PART C.) In planning for your retirement, you expect to save $5,000 in year 1, $6,000 in year 2, and amounts increasing by $1,000 each year through year 20. If your investments earn 7% interest per year, what is your retirement account worth at year 20?
1. (Future value of an annuity and annuity payments) You are trying to plan for retirement in 12 years, and currently you have $210,000 in a savings account and $350,000 in stocks. In addition, you plan to deposit $9,000 per year into your savings account at the end of each of the next 6 years, and then $12,000 per year at the end of each year for the final 6 years until you retire. a. Assuming your savings account returns 8 percent compounded annually, and your investment in stocks will return 12 percent compounded annually, how much will you have at the end of 12 years? (Ignore taxes.) b. If you expect to live for 15 years after you retire, and at retirement you deposit all of your savings into a bank account paying 11 percent, how much can you withdraw each year after you retire (making 15 equal withdrawals beginning one year after you retire) so that you end up with a zero-balance at death?
At the end of each of the next 8 years, you planto put $25,000 of your annual salary in thebank. If the annual interest rate is 3%, what isthe present value of this planned savingsstream? What will the balance in your bankaccount be at the end of the 8 year period?
2. You want to begin saving for your retirement. You plan to contribute $12,000 to the account at the end of this year. You anticipate you will be able to increase your annual contributions by 3% each year for the next 45 years. If your expected annual return is 8%, how much do you expect to have in your retirement account when you retire in 45 years? [
2. (From section 6.2) You want to be able to withdraw $50,100 from your account each year for 20 years after you retire. You expect to retire in 35 years. If your investment account earns 5.5% interest, how much will you need to deposit into the account at the end of each year until you reach retirement to achieve your retirement goals? (a) The first part is finding how much we need to have in the account by the time we retire. Which formula will you use first? Circle one. Annuity Payout-Annuity (b) What are the following variables that we will need for the formula? PMT = n = t = r = A or Po = (c) Write the formula you will use with the numbers plugged in below. (d) Solve using your calculator or technology and round to two decimal places. Work is not required here. Write the answer here and state which variable you solved for. (e) Using your own words, describe what you found by solving the equation in terms of the word problem given.
As part of your retirement plan, you have decided to deposit $9,000 at the beginning of each year into an account paying 5% interest compounded annually. (Round your answers to the nearest cent.) (a) How much (in $) would the account be worth after 10 years? $ (b) How much (in $) would the account be worth after 20 years? $ (c) When you retire in 30 years, what will be the total worth (in $) of the account? (d) If you found a bank that paid 6% interest compounded annually rather than 5%, how much (in $) would you have in the account after 30 years? $ (e) Use the future value of an annuity due formula to calculate how much (in $) you would have in the account after 30 years if the bank in part (d) switched from annual compounding to monthly compounding and you deposited $750 at the beginning of each month instead of $9,000 at the beginning of each year.