Differential equations. Your employer automatically puts 10 percent of your salary into a 401(k) retirement account each year. The account earns 8% interest. Suppose you just got the job, your starting salary is $ 40000, and you expect to receive a 3.5% 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 30 years

Differential equations. Your employer automatically puts 10 percent of your salary into a 401(k) retirement account each year. The account earns 8% interest. Suppose you just got the job, your starting salary is $ 40000, and you expect to receive a 3.5% 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 30 years

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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Your employer automatically puts 5 percent of your salary into a 401(k) retirement account each year. The account earns 8% 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 15 years Value = S
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 = $
Your employer automatically puts 10 percent of your salary into a 401(k) retirement account each year. The account earns 8% interest. Suppose you just got the job, your starting salary is $45000, and vou expect to receive a 4% raise each year. For simplicity, assume that interest earned and your raises are given as nominal rates and compound continuously. Find the value of vour retirement account after 35 years Value = $ 262549.28 Preview
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
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 =
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.)
using excel: How much money must you invest today in order to withdraw the following monthly payments in retirement, $1,000 per month from Year 1 through Year 5, $750 per month from Year 6 through 10? Assume you can earn a rate of return of 8.60%.
Suppose that you’d like to retire in 40 years and you want to have a future value of $ 900000 in a savings account. Also suppose that your employer makes regular monthly payments into your retirement account. If you can expect an APR of 6% for your account, how much do you need your employer to deposit each month? 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 2% for your retirement account. How much do you need your employer to deposit each month under this assumption?
Suppose you want to have $700,000 for retirement in 30 years. Your account earns 10% interest. a) How much would you need to deposit in the account each month? $ b) How much interest will you earn? $ es
Suppose that your retirement benefits during your first year of retirement are $60,000 per year which is just enough to meet your cost of living during the first year. However, your cost of living is expected to increase at an annual rate of 5% due to inflation. If there is no cost-of-living adjustment in your retirement pension, then some of your future living cost has to come from savings other than retirement pension. If your saving account earns 7% interest a year, how much should you set aside in order to meet this future increase in the cost of living for 25 years? O $428,985.67 O S1,128,200.66 O $699,214.99 O $34,960.75
Suppose that you earn $45,600 per year. What is your monthly salary? $ Assume that you deposit 10% of your monthly salary into an investment account with an APR of 4.8% every month for 30 years. We will assume for simplicity that your salary never changes, so you are depositing the same amount every month for 30 years. What will the balance of your investment account be after 30 years? Round your answer to the nearest cent. The balance of the account is $ How much of the investment account balance is interest? The amount of interest in the account is $
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?

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