Suppose your mother has worked for 40 years and has accumulated $1,000,000. She wishes to begin receiving an annual payment beginning next year, and continuing for another 20 years. If a pension plan will guarantee her an annual interest rate of at least 5% effective, what is her payment?

Suppose your mother has worked for 40 years and has accumulated $1,000,000. She wishes to begin receiving an annual payment beginning next year, and continuing for another 20 years. If a pension plan will guarantee her an annual interest rate of at least 5% effective, what is her payment?

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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You estimate you need to supplement your social security payments with monthly withdrawals of $1,400.00 per month from a private investment account during the first 23 years of your retirement. Assuming you can earn annual returns of 5.2% in your investment account during your retirement years, how much money do you need to have accumulated in your investment account by the day you retire in order to fund the aforementioned monthly withdrawals?
1) Today is your 30th birthday and you must choose between two retirement options. The first option will provide you with 10 equal annual payments of $100, 000 beginning on your 65th birthday. The second option will provide you with one payment of $1, 000, 000 on your 70th birthday. If the interest rate is 6 percent per year and you are assured of living to at least 80 years of age, which option is better? 2) A retirement home in Florida costs $200, 000 today. Housing prices in Florida are increasing at a rate of 4% per year. Joe wants to buy the home in 8 years when he retires. Joe has $25, 000 right now in a savings account paying 8% interest per year. Joe wants to make eight equal annual deposits into the savings account starting today. How much must each deposit be so Joe will have enough money in his savings account to buy the retirement home when he retires?
The Martinez are planning for a retirement home. They estimate they will need $212,000 4 years from now to purchase this home. Assuming an interest rate of 12%, with four equal amounts being deposited at the beginning of the period. What amount must be deposited at the beginning of each period?
You annually invest $2,000 in an individual retirement account (IRA) starting at the age of 30 and make the contributions for 15 years. Your twin sister does the same starting at age 35 and makes the contributions for 25 years. Both of you earn 7 percent annually on your investment. What amounts will you and your sister have at age 60? Use Appendix A and Appendix C to answer the question. Round your answers to the nearest dollar.Amount on your account: $ Amount on your sister's account: $ Who has the larger amount at age 60?-Select-You haveYour sister hasItem 3 the larger amount.
Ms. Anna Ang, aged 39, recently purchased an endowment plan from an insurer that requires her to set aside $24,000 per year for the next 23 years till she retires at age 62. The first premium payment occurs at the beginning of the period. Assuming an inflation rate of 2% and an estimated rate of return of 4.0% from the endowment plan, what is the estimated future value of Anna’s regular savings at age 62?
You will pay into a pension fund until you are aged 65. You are expected to live until your 80th birthday. You are currently 21 years of age. Pension fund contributions are made bi-weekly (use n=2/52) beginning in 2 weeks' time. If you are promised an interest rate of 7% compounded monthly: 1) What should be the size of your contribution if you plan to have $1 million at age 65? 2) Following your final contribution at age 65, you will retire. You will begin to withdraw money at the end of each month at a declining rate. Each subsequent withdrawal will fall by a constant rate of 0.5% per month for the duration of your life. You withdraw the final payment an instant before you die. If the effective annual rate of interest that you can receive on your pension fund is 5%, what is the most that you can withdraw on your first payment? 3) If your contribution is $100.00 bi-weekly, what is the future value of your pension fund immediately after the last payment if the prevailing interest…
Suppose your aunt has worked for 40 years and has accumulated a "nest-egg" of $1,000,000. She wishes to begin receiving an annual payment beginning next year, and continuing for another 20 years. If a pension plan will guarantee her an annual interest rate of at least 5% effective, what is her payment? Please show procedure and formulas used. Thanks
Suppose you wish to retire 38 years from today. You determined that you need $220,000 per year after you retire, with the first retirement funds withdrawn one year from the day you retire and that you will need to make 30 such withdrawals. Assuming that you can earn 5% per year on your retirement funds for the next 70 years. C. How much is left in your account after you make your 22nd withdrawl?
After one year of employment, Hasan has joined his company's pensionplan. He estimates he will retire in 35 years, and will be retired for a total of 25 years. During his retirement, he will need S50, 000 at the beginning of each year. At a discount rate of 4%, compounded quarterly, what should be his savings goal? a. S807, 655b. S963, 258c. S2, 184,431d . S3, 878, 614
What would the the comuted value of the defined benefit pension plan be in the following example? Frank is leaving his job and pension at age 65 and has 33 years in the defined benefit pension plan which provides 2% per year of service based on the average best five years of income. His best average five years earnings were $75,000. The pension plan assumes life expectancy is age 92 and the rate of return of 1.1%.
Please explain and solve with detailed workings
Your client is currently 19 years old. Your client wishes to retire at age 71. Your client's expected lifetime is 96 years. Your fund generates a return of 4.3%. Your client wants to have a pension benefit of 143,000. calculate the annual contribution your client needs to make.

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