a. Suppose that between the ages of 22 and 36, you contribute $9000 per year to a 401(k) and your employer contributes $4500 per year on your behalf. The interest rate is 8.5% compounded annually. What is the value of the 401(k) after 14 years? b. Suppose that after 14 years of working for this firm, you move on to a new job. However, you keep your accumulated retirement funds in the 401(k). How much money will you have in the plan when you reach age 65? c. What is the difference between the amount of money you will have accumulated in the 401(k) and the amount you contributed to the plan? Click the icon to view some finance formulas. CIT a. The value of the 401(k) after 14 years is $ (Do not round until the final answer. Then round to the nearest dollar as needed.)

a. Suppose that between the ages of 22 and 36, you contribute $9000 per year to a 401(k) and your employer contributes $4500 per year on your behalf. The interest rate is 8.5% compounded annually. What is the value of the 401(k) after 14 years? b. Suppose that after 14 years of working for this firm, you move on to a new job. However, you keep your accumulated retirement funds in the 401(k). How much money will you have in the plan when you reach age 65? c. What is the difference between the amount of money you will have accumulated in the 401(k) and the amount you contributed to the plan? Click the icon to view some finance formulas. CIT a. The value of the 401(k) after 14 years is $ (Do not round until the final answer. Then round to the nearest dollar as needed.)

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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a. Suppose that between the ages of 22 and 30, you contribute $7000 per year to a 401(k) and your employer contributes $3500 per year on your behalf. The interest rate is 8.6% compounded annually. What is the value of the 401(k) after 8 years? b. Suppose that after 8 years of working for this firm, you move on to a new job. However, you keep your accumulated retirement funds in the 401(k). How much money will you have in the plan when you reach age 65? c. What is the difference between the amount of money you will have accumulated in the 401(k) and the amount you contributed to the plan? a. The value of the 401(k) after 8 years is $ (Do not round until the final answer. Then round to the nearest dollar as needed.)
Suppose that between the ages of 22 and 32, you contribute $8000 per year to a 401(k) and your employer contributes $4000 per year on your behalf. The interest rate is 7.67.6% compounded annually. (a) What is the value of the 401(k) after 10 years? (b) Suppose that after 10 years of working for this firm, you move on to a new job. However, you keep your accumulated retirement funds in the 401(k). How much money will you have in the plan when you reach age 65? (c) What is the difference between the amount of money you will have accumulated in the 401(k) and the amount you contributed to the plan?
Assume that you begin saving 3% of your total income in an employer-provided retirement plan at work. Each year, your income increases by 4%. As a result, you increase the percentage of your income you devote to your retirement plan by 2%. How long will it take for you to be saving at least 20% of your income? (Assume no taxes.) Based on your calculations from part a, how much will you be saving (using the end-of-year savings rate) over the next 10 years if you earn $30,000 this year? What is an alternative approach you might recommend for this situation? Why might it be better?
1. Assume that you begin saving 3% of your total income in an employer-provided retirement plan at work. How long will it take for you to be saving at least 20% of your income if your employer provides a 4% wage increase yearly and you save half of each year's increase? 2. Based on your calculations from part a. how much will you be saving (using the end-of- year savings rate) over the next 10 years if you earn $30,000 this year?
Your employer automatically puts 5 percent of your salary into a 401 (k) retirement account each year. The account earns 7% interest. Suppose you just got the job, your starting salary is $60000, and you expect to receive a 2.5% raise each year. For simplicity, assume that interest earned and your raises are given as nominal rates and compound continuously. Find the value of your retirement account after 25 years Value = $
Suppose that Jerry's 401(k) will have an average APR of 8% for 40 years. Assume both he and his employer each deposit $175.00 each month over that time. How much money will Jerry and his employer deposit into the account over 40 years? How much interest will be earned? (175.00 401(k) contribution )
Suppose that starting at age 25, you make steady contributions to a retirement account (with initial balance 0). What should your yearly contribution be if you want to have a balance of $815,000 after 40 years? Assume your account will earn 7% interest, compounded continuously. (Round your answer to the nearest dollar.)
Suppose that you'd like to retire in 40 years and you want to have a future value of $ 500000 in a savings account. Also suppose that your employer makes regular monthly payments into your retirement account. If you can expect an APR of 7.5% for your account, how much do you need your employer to deposit each month? Employer Contribution = The formulas we have been using assume that the interest rate is constant over the period in question. Over a period of 40 years, though, interest rates can vary widely. To see what difference the interest rate can make, let's assume a constant APR of 4% for your retirement account. How much do you need your employer to deposit each month under this assumption? Employer Contribution = rate dic rest
Assume that you are 30 years old today, and that you are planning on retirement at age 65. Your current salary is $41,000 and you expect your salary to increase at a rate of 4% per year as long as you work. To save for your retirement, you plan on making annual contributions to a retirement account. Your first contribution will be made on your 31st birthday and will be 8% of this year's salary. Likewise, you expect to deposit 8% of your salary each year until you reach age 65. Assume that the rate of interest is 7%.The future value (FV) at retirement (age 65) of your savings is closest to ________.
2. An brokage house employee is trying to sell you investment instrument, which for a single amount paid today will provide you with $25,000 at the end of each year for the next 19 years and $30,000 at the end of year 20. You currently earn 5% on low-risk investments comparable to the retirement annuity. Ignoring taxes, what is the most you would pay for this financial instrument?
Suppose that you'd like to retire in 40 years and you want to have a future value of $ 800000 in a savings account. Also suppose that your employer makes regular monthly payments into your retirement account. If you can expect an APR of 7.5% for your account, how much do you need your employer to deposit each month? Employer Contribution = The formulas we have been using assume that the interest rate is constant over the period in question. Over a period of 40 years, though, interest rates can vary widely. To see what difference the interest rate can make, let's assume a constant APR of 4% for your retirement account. How much do you need your employer to deposit each month under this assumption? Employer Contribution =
Use the information for the question(s) below. Assume that you are 30 years old today and that you are planning on retirement at age 65. Your current salary is $45,000 and you expect your salary to increase at a rate of 5% per year as long as you work. To save for your retirement, you plan on making annual contributions to a retirement account. Your first contribution will be made on your 31st birthday and will be 8% of this year's salary. Likewise, you expect to deposit 8% of your salary each year until you reach age 65. Assume that the rate of interest is 7%. The present value (at age 30) of your retirement savings is closest to: O A. $87,000. OB. $46,600. OC. $75,230. O D. $108,000.

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