5. My pension plan is an annuity with a guaranteed return of 5% per year. (Assume compounding at same intervals as withdrawals or deposits) a. How much will I need in my account at retirement if I wish to be paid $12000 per quarter for 25 years? b. If I plan to work for 45 years before retiring, how much money would I need to deposit into my retirement account monthly to save the amount necessary for the payments in part a. (assume the same 5% rate)

5. My pension plan is an annuity with a guaranteed return of 5% per year. (Assume compounding at same intervals as withdrawals or deposits) a. How much will I need in my account at retirement if I wish to be paid $12000 per quarter for 25 years? b. If I plan to work for 45 years before retiring, how much money would I need to deposit into my retirement account monthly to save the amount necessary for the payments in part a. (assume the same 5% rate)

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter5: The Time Value Of Money

Section: Chapter Questions

Problem 32P

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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.
b) Suppose you begin saving for your retirement by depositing $2,000 per year in an IRA. If the interest rate is 7.5%, how much will you have in 40 years if the payments are made: at the end of the year (ordinary annuity)? at the beginning of the year (annuity due)?
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 You determine that you need $50,000 per year once you retire, with the first retirement funds withdrawn one year from the day you retire.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.
3. Rico wants to buy a retirement annuity that will pay him the first of 50 semiannual payments of $10,000 ten years from now. How much must he pay to purchase the annuity today if the annuity issuer provides a return on Investment of 4.8% compounded semiannually? I will solve this problem as: an ordinary deferred annuity a deferred annulty due Timeline: Solution:
(a) You deposit $135.29 monthly into an account paying 8.75% for 27 years. Find the future value of the annuity. Show your work in detail. (b) If you deposit $140 instead of $135.29 under the same circumstances how much more will your annuity be worth? Show your work in detail.
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 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 $80,000 per year forever, beginning 31 years from now? Assume the account earns interest at 15% per year. What is the answer, and how can I get it?
you want to establish an annuity that will pay $7,500 for the next twenty years (end year) your financial institution will establish such an annuity if you deposit $104,000 today. what is the implied rate that the institution is paying on this annuity?
Suppose a man retires at age 65, and in addition to Social Security, he needs $2200 per month in income. Based on an expected lifetime of 204 more months, how much would he have to invest in a life income annuity earning 4% APR to pay that much per year? (Round your answer to two decimal places.)
Assume that you contribute $150 per month to a retirement plan for 20 years. Then you can increase the contribution to $274 per month for another 20 years, and finally, $424 per month for the last 10 years. Given a 7 percent interest rate, what is the value of your retirement plan after the 50 years? Note: Do not round intermediate calculations and round your final answer to 2 decimal places. Value of retirement assets
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.
To supplement your planned retirement, you estimate that you need to accumulate R 220, 000 in 42 years. You plan to make equal annual end of year deposits into an account paying 8% annual interest. a. How large must the annual deposit be to create the R 220,000 fund in 42 years? b. If you can afford to deposit only R600 per year into the account, how much will you have accumulated by the end of the forty-second year?