### Educational Activity: Solving Annuity and Payout Problems#### Instructions:**(f)** Now that we've answered the first part of the problem, we still need to find how much we will deposit into the account each year while still working to reach our goal. Which formula will you use for the second part? Circle one.- **Annuity**- **Payout-Annuity****(g)** What are the following variables that we will need for the formula?- PMT = - n = - t = - r = - A or Po = **(h)** Write the formula you will use with the numbers plugged in below.**(i)** Solve using your calculator or technology and round to two decimal places. **Work is not required here.** Write the answer here and state which variable you solved for.**(j)** Using your own words, describe what you found by solving the equation in terms of the word problem given.---#### Notes:The questions guide you through selecting the correct formula and identifying the necessary variables. Completing this exercise will help you solve the problem methodically and understand the practical application of annuities. 2. (From section 6.2) You want to be able to withdraw $50,100 from your account each year for 20 years after you retire. You expect to retire in 35 years. If your investment account earns 5.5% interest, how much will you need to deposit into the account at the end of each year until you reach retirement to achieve your retirement goals?(a) The first part is finding how much we need to have in the account by the time we retire. Which formula will you use first? Circle one.- Annuity- Payout-Annuity(b) What are the following variables that we will need for the formula?- PMT = - n = - t = - r = - A or Po = (c) Write the formula you will use with the numbers plugged in below.(d) Solve using your calculator or technology and round to two decimal places. **Work is not required here.** Write the answer here and state which variable you solved for.(e) Using your own words, describe what you found by solving the equation in terms of the word problem given.

Hi, since you have posted a question with multiple sub-parts, we will answer the first three, as per guidelines. Please repost others separately.a) The first part of the question needs to determine the present value of the payouts being made for 20 years after retirement. Hence, this is an example of pay-out annuity. Answer: Payout Annuityb) PMT = Amount withdrawn n = Number of years of withdrawal t = number of compounding period. In this case, compounding epriod is annually hence "1" r = Annual Rate of interest PMT = $50100 n = 20 t= 1 (compounded annually) r = 5.5% A or P0 = $598,714.16c) Using formula, the value of the retirement account can be calculated as below: Answer: An amount of $598,714.16 needs to be there in the account by the time he retires.

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(From section 6.2) You want to be able to withdraw $50,100 from your account each year for 20 years after you retire. You expect to retire in 35 years. If your investment account earns 5.5% interest, how much will you need to deposit into the account at the end of each year until you reach retirement to achieve your retirement goals? (a) The first part is finding how much we need to have in the account by the time we retire. Which formula will you use first? Circle one. Annuity Payout-Annuity (b) What are the following variables that we will need for the formula? PMT = n = t = A or Po = r = (c) Write the formula you will use with the numbers plugged in below.

(From section 6.2) You want to be able to withdraw $50,100 from your account each year for 20 years after you retire. You expect to retire in 35 years. If your investment account earns 5.5% interest, how much will you need to deposit into the account at the end of each year until you reach retirement to achieve your retirement goals? (a) The first part is finding how much we need to have in the account by the time we retire. Which formula will you use first? Circle one. Annuity Payout-Annuity (b) What are the following variables that we will need for the formula? PMT = n = t = A or Po = r = (c) Write the formula you will use with the numbers plugged in below.

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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PART C.) In planning for your retirement, you expect to save $5,000 in year 1, $6,000 in year 2, and amounts increasing by $1,000 each year through year 20. If your investments earn 7% interest per year, what is your retirement account worth at year 20?
You are investing in a retirement account and plan to deposit $5,000 per year into the account for the next 20 years, starting from today. The account offers an annual interest rate of 6%. How much money will you have in your retirement account at the end of the 20-year period?
Suppose you wish to retire 30 years from today .You have determined that you would need $75,000 annually once you retire, which you will withdraw at the end of each year. You estimate that you will earn 6% on your retirement funds, compounded annually, and that you will live for 20 years after retirement. how much funds would you need on retirement to fullfill your goals above.?
How much must you deposit each year into your retirement account starting now and continuing through year 10 if you want to be able to withdraw $90,000 per year forever, beginning 29 years from now? Assume the account earns interest at 14% per year. The amount to be deposited is determined to be $________ .
You are saving for retirement. To live comfortably, you decide you will need to save $3,000,000 by the time you are 65. Today is your 30th birthday, and you decide, starting today and continuing on every birthday up to and including your 65th birthday, that you will put the same amount into a savings account. If the interest rate is 6%, how much must you set aside each year to make sure that you will have $3,000,000 in the account on your 65th birthday? The amount to deposit each year is $ (Round to the nearest cent.)
Suppose you want to have $800,000 for retirement in 25 years. Your account earns 9% interest.a) How much would you need to deposit in the account each month?$b) How much interest will you earn? $
You plan on retiring in 30 years. You currently have $200,000 and think you will need $1,000,000 to retire. Assuming that you don't deposit any additional money into the account, what annual return will you need to earn to meet this goal?
You plan to make annual deposits of $5,000 per year at the beginning of each year into your retirement account. Your goal is to have $800,000 If you expect to get an 8% rate of return, how many years will it take you to reach your goal?
Suppose you want to have $500,000 for retirement in 25 years. Your account earns 9% interest. a) How much would you need to deposit in the account each month? b) How much interest will you earn?
On your 35th birthday, you open a retirement account that pays 6% interest each year. You want to have two million dollars when you retire at age 65. How much do you need to deposit each month to reach your goal?
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?
You are planning to invest $2,000 in an account earning 12% per year for retirement. a. If you put the $2,000 in an account at age 23, and withdraw it 36 years later, how much will you have? b. If you wait 10 years before making the deposit, so that it stays in the account for only 26 years, how much will you have at the end? a. If you put the $2,000 in an account at age 23, and withdraw it 36 years later, how much will you have? In 36 years you would have $. (Round to the nearest cent.)

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