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 madel bi-weekly (use n=2/52) beginning in 2 weeks time. If you are promised an interest rate of 7% compounded monthly: a) What should be the size of your contribution if you plan to have $1 million at age 65? b) 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

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 madel bi-weekly (use n=2/52) beginning in 2 weeks time. If you are promised an interest rate of 7% compounded monthly: a) What should be the size of your contribution if you plan to have $1 million at age 65? b) 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

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter5: The Time Value Of Money

Section: Chapter Questions

Problem 44P

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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…
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.
You wish to retire after 22 years; at which time you want to have accumulated enough money to receive an annuity of $68,000 a year for 25 years of retirement. During the period before retirement, you can earn 6 percent annually, while after retirement you can earn 4 percent on your money. What annual contribution to the retirement fund will allow you to receive the $68,000 annually?
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To insure you, Assurances Nochance Ltd offers the following plan: you will pay 20 annual payments of $8,000 starting one year from today. Then, in year 21, you or your heirs will receive a pension for the following 15 years. The discount rate used by the company to calculate your pension is 6%. (a) What is the size of your annual pension? (b) Ifyoucouldtakeaone‐timelumpsumpayment25yearsfromtodayinsteadofthepension,how high would the equivalent lump sum payment have to be?.
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