1. Your financial planner has advised you to initiate a retirement account while you are still young. Today is your 35th birthday and you are planning to retire at age 65. Actuarial tables show that individuals in your age group have a life expectancy of about 75. If you want a $50,000 annuity beginning on your 66th birthday which will grow at a rate of 4 percent per year for 10 years: a. What amount must you deposit at the end of each year through age 65 at a rate of 8 percent compounded annually to fund your retirement account? b. How would your answer change if the rate is 9 percent? ¢. After you have paid your last installment on your 65th birthday, you learn that medical advances have shifted actuarial tables so that you are now expected to live to age 85. Determine the base-year annuity payment supportable under the 4 percent growth plan with a 9 percent interest rate.

1. Your financial planner has advised you to initiate a retirement account while you are still young. Today is your 35th birthday and you are planning to retire at age 65. Actuarial tables show that individuals in your age group have a life expectancy of about 75. If you want a $50,000 annuity beginning on your 66th birthday which will grow at a rate of 4 percent per year for 10 years: a. What amount must you deposit at the end of each year through age 65 at a rate of 8 percent compounded annually to fund your retirement account? b. How would your answer change if the rate is 9 percent? ¢. After you have paid your last installment on your 65th birthday, you learn that medical advances have shifted actuarial tables so that you are now expected to live to age 85. Determine the base-year annuity payment supportable under the 4 percent growth plan with a 9 percent interest rate.

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter5: The Time Value Of Money

Section: Chapter Questions

Problem 32P

See similar textbooks

Similar questions

How much must you deposit each year into your retirement account starting now and continuing through year 10 if you want to be able to withdraw $90,000 per year forever, beginning 29 years from now? Assume the account earns interest at 14% per year. The amount to be deposited is determined to be $________ .
Give only typing answer with explanation and conclusion To supplement your retirement, you estimate that you need to accumulate $320,000 exactly 40 years from today. You plan to make equal, end-of-year deposits into an account paying 6% annual interest. a. How large must the annual deposits be to create the $320,000 fund by the end of 40 years? b. If you can afford to deposit only $1,740 per year into the account, how much will you have accumulated in 40 years?
Part A: By the end of this year, you will be 35-years old, and you want to plan for your retirement. You wish to retire at the age of 65, and you expect to live 20 years after retirement. Upon retirement you wish to have an annual sum of $50,000 to supplement your social security benefits. Therefore, you opened your retirement account with a 7% annual interest rate. At retirement you liquidate your account and use the funds to buy an investment grade bond which makes $50,000 annual coupon payments based on a 6 % coupon rate throughout your retirement years. What is the face value, not the actual value, of the bond that you will be investing in? Please calculate the monthly payment in your retirement account in order to be able to achieve the plan mentioned above. How much will your inheritors receive?
Questions:- John wishes to create his own life annuity plan. He expects to retire at age 60. He plans to deposit a fixed amount of money in a retirement account each year starting from age 30. Assume all amounts are deposited or withdrawn at the end of the year. Suppose the account can earn an annual rate of 5%. 1. (a) If John wants to withdraw $120,000 each year starting from age 60 for the next 20 years, calculate the amount that should be accumulated in the retirement account at age 60. (7%) (b) Calculate the fixed amount of money that John requires to deposit per year for 30 years, starting from age 30 to accumulate the amount (8%) calculated in part (a). (c) In the past 5 years, Industrial and Commercial Bank of China (ICBC) has offered a stable dividend distribution of HK$0.26 per share each year. What is the annual rate of return of this investment if you can (5%) buy ICBC share at $5.2 in the market? (d) John wishes to invest in shares to create his life annuity plan. What are…
You would like to have enough money saved to receive a $90,000 per year perpetuity after retirement. The annual interest rate is 8 percent. Required: How much would you need to have saved in your retirement fund to achieve this goal? a) Assume that the perpetuity payments start on the day of your retirement. b) Assume that the perpetuity payments start one year from the date of your retirement.
To 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?
you have decided to begin saving for retirement. you will deposit $800 in a bank account today. than you will deposit an additional $800 every following year for 29 years (an annuity due). if your bank pays 3.73% interest, how much will you accumulate in the account at the end of 30 years
Suppose you wish to retire forty years from today. You determine that you need $50,000 per year once you retire, with the first retirement funds withdrawn one year from the day you retire. You estimate that you will earn 6% per year on your retirement funds and that you will need funds up to 25 years after retirement. Use the PV of an ordinary annuity due formula. a) Calculate the amount you must deposit in an account today so that you have enough funds for retirement b) Calculate the amount you must deposit each year, starting one year from today, so that you have enough funds for retirement.
Part A: By the end of this year, you would be 35 years old and you want to plan for your retirement. You wish to retire at the age of 65 and you expect to live 20 years after retirement. Upon retirement, you wish to have an annual sum of $50,000 to supplement your social security benefits. Therefore, you opened now your retirement account with a 7% annual interest rate. At retirement, you liquidate your account and use the funds to buy an investment-grade bond which makes $50,000 annual coupon payments based on a 6 % coupon rate, throughout your retirement years. How much will the face value of the bond that you will be investing? Please calculate the monthly payment in your retirement account in order to be able to achieve the plan mentioned above? How much will your inheritors receive?
It is estimated that you will pay about $80,000 into the Social Security system (FICA) over your 40-year work span. For simplicity, assume this is an annuity of $2,000 per year, starting with your 26th birthday and continuing through your 65th birthday. Solve, a. What is the future equivalent worth of your Social Security savings when you retire at age 65 if the government’s interest rate is 6% per year? b. What annual withdrawal can you make if you expect to live 20 years in retirement? Let i= 6% per year.
How long would it take for you to save an adequate amount for retirement if you deposit $40,000 per year into an account beginning today that pays 12 percent per year if you wish to have a total of $1,000,000 at retirement? O a. 12.2 years O b. 10.5 years O c. 14.8 years O d. 11.5 years
You plan to make your first $6,470 contribution to your individual retirement account in 2 years. Assuming you earn a 7.02 percent rate of return and make no additional contributions, what will your account be worth (in $) when you retire 50 years from now?