Your employer automatically puts 5 percent of your salary into a 401(k) retirement account each year. Th account earns 8% interest. Suppose you just got the job, your starting salary is $50000, and you expect to receive a 3% 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 35 years Value = $
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- You want to accumulate $1 million by your retirement date, which is 25 years from now. You will make 25 deposits in your bank, with the first occurring today. The bank pays 8% interest, compounded annually. You expect to receive annual raises of 3%, which will offset inflation, and you will let the amount you deposit each year also grow by 3% (i.e., your second deposit will be 3% greater than your first, the third will be 3% greater than the second, etc.). How much must your first deposit be if you are to meet your goal?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 PreviewSuppose you are paid $2400 per month and your employer's 401(k) matches your contributions by 50% up to a maximum of 10% of your pay. Assuming you max-out your retirement savings and you work for 30 years, how much will the 401(k) be worth when you retire (if you can get an APR of 8% during your work years)?
- 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 rest1. 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?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 $ 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 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?You currently have a balance of $200,000 in your retirement account. You expect to contribute $7,50o to your retirement account at the end of each year for the next 30 years and your employer will match your contributions; thus, the annual end- of-year contributions to your retirement account will be $15,000. If you earn 8% on your retirement account, how much money will you have in your account when you retire in 30 years? You have a 4-year-old daughter and want to have $120,000 in her college fund when she starts college. You expect to earn a 7% return on her college-fund investments. If you want to make 14 equal-sized end-of-year deposits into your daughter's college fund, how much do you need to deposit each year to have $120,000 when she starts college? $ %24 %24
- For 40 years, you invest $200 per month at an APR of 4.8% compounded monthly, then you retire and plan to live on your retirement nest egg. a) How much is in your account on retirement? b) Suppose you set up your account as a perpetuity on retirement. What will your monthly income be? (Assume that the APR remains at 4.8% compounded monthly.) c) Suppose now you use the balance in your account for a life annuity instead of a perpetuity. If your life expectancy is 21 years, what will your monthly income be? (Again, assume that the APR remains at 4.8% compounded monthly.) d) Compare the total amount you invested with your total return from part c. Assume that you live 21 years after retirement.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: a. $75,230. b. $108,000. c. $87,000. d. $46,600.You want to be able to withdraw $40,000 from your account each year for 25 years after you retire. If you expect to retire in 15 years and your account earns 6.6% interest while saving for retirement and 6.2% interest while retired:Round your answers to the nearest cent as needed.a) How much will you need to have when you retire?$b) How much will you need to deposit each month until retirement to achieve your retirement goals?$c) How much did you deposit into you retirement account?$d) How much did you receive in payments during retirement?$e) How much of the money you received was interest?$