An investor may deposit $2,000 into both a traditional IRA and a Roth IRA. After 30 years, given a 9% annual return and a 20% tax rate, what will be the value of each account? Which will be higher and by how much? Why is this?

An investor may deposit $2,000 into both a traditional IRA and a Roth IRA. After 30 years, given a 9% annual return and a 20% tax rate, what will be the value of each account? Which will be higher and by how much? Why is this?

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

See similar textbooks

Related questions

Q: You have just received a windfall from an investment you made in a friend's business. He will be…

Q: You may purchase an annuity that will pay you 300000 in income per year starting one year from now…

A: Given, Payment amount (PMT) = 300,000 Number of payments (n) = 22 Interest rate (i) = 4%

Q: Use the formula for the value of an annuity to solve:To save for retirement, you decide to deposit…

A: The future value of the annuity is the total value of all the payments which occurred regularly at a…

Q: Suppose you just won the state lottery, and you have a choice between receiving $2,825,000 today or…

A: Present value = pv = $2,825,000 Time = nper = 20 years Payment = pmt = $240,000

Q: If you had $5k to put into your IRA for this year, what investments would you put your IRA in?…

A: Future is uncertain and income will stop after some time, but some amount will be required to meet…

Q: Cconvertable bonds are: 1. Options attached to bonds that give the bond holder the right to purchase…

A: The appropriate option is (d).The bonds that allow the bondholders to convert the given number of…

Q: To find the value of an annuity due, you will multiply the value of the ordinary annuity by…

A: Present value is the current worth of the future payments that are to be received. As per time value…

Q: You have just received a windfall from an investment you made in a friend's business. She will be…

A: The Present Value refers to a concept that states the discounted value or say value at today's time…

Q: You would like to have $ 59,000 in 15 years. To accumulate this amount, you plan to…

A: The concept of time value of money tells us that worth of money keeps on changing with passage of…

Q: You have just received a windfall from an investment you made in a friend's business. She will be…

A: Present value is the discounted value of all the future cash flows.Future value is the compounded…

Q: How much would you need to deposit in the account each month?

A: Information Provided: Future value = $410,500 Years = 15 Interest rate = 6.5% Deposits frequency =…

Q: Your investment advisor wants you to purchase an annuity that will pay you $81,491 after 10 years.…

A: The present value of an annuity refers to the value of the future payments on the current date…

Q: An investor wants to save money to purchase real estate. He buys an annuity with quarterly payments…

A: Here, Quarterly Payment is $163 Interest Rate (r) is 5.5% Compounding Period (m) is Quarterly i.e 4…

Q: How much should you deposit at the end of each month into an investment account that pays 8.5%…

A: Retirement income is the money one receives after they stop working, either through savings,…

Q: A new investment opportunity for you is an annuity that pays $800 at the beginning of each year for…

A: Beginning of period Annuity Annuity Amount = 800 Time Period (N) = 3 years Rate = 5.5%

Q: You have just received a windfall from an investment you made in a friend's business. She will be…

A: We need to use the following equation to calculate present and future value FV=PV(1+i)n where FV…

Q: You plan to invest $2,000 per year into a retirement account. If you earn a compound annual rate of…

A: Retirement planning is important to accumulate the amount for future use. The regular payment is…

Q: you just won the state lottery, and you have a choice between receiving $2,625,000 today or a…

A: Rate of return inbuilt in annuity is rate at which present value of annuity is equals to amount of…

Q: Explain the nature of the potential lending losses associated with each of the following: default…

Q: An investor is considering an annuity that pays $40,000 per year for four years. 1. Assuming the…

A: (answer of first 3 parts, please specify if any other part is required) We can compute the present…

Q: Suppose you begin saving for your retirement by depositing $2,000 per year in an IRA. If the…

A: The future value is the amount that will be received at the end of a certain period. In simple…

Q: You have just received a windfall from an investment you made in a friend's business. She will be…

A: To compute the present value, the cash flows are discounted.The formula is: present value = cash…

Q: What would be the maximum price you should pay for a 10 year annuity that will provide payments of…

A: Present value of annuity formula-PV = A × WherePV = Present value of annuity A = periodic payments r…

Q: You decide to invest $14.4k today into a security that will make fixed annual payments to you of…

A: The money's present value is its current worth compared to some of its potential future value after…

Q: What will be the value in your account at the end of Year 30?

A: Future Value of Annuity: It represents the future worth of the annuity payments made for a given…

Q: Assume that you are going to receive $468 yearly until the day of your retirement (15 years from…

A: The annuity is a series of cash flow wherein an equal amount is paid every period. The value at the…

Q: What is the future value of a 6%, 10-year ordinary annuity that pays $200 each year? If this were…

A: The future value of annuity is calculated using the formula below:

Q: An investment pays you $100 at the end of each of the next 3 years. The investment will then pay you…

A: Time value of money is a concept that deals with calculating the actual worth of money at present…

Q: What is your annual rate of return if you deposit $2,700 today and withdraw $3,500 in a lump sum in…

A: Rate of return refers to the increase or decrease in the value of an investment over a certain…

Q: You can invest $5,000 today in an account that earns an annual interest rate of 8%. Using the…

A: In the given case, we have provided the current investment or initial investment, annual interest…

Q: Suppose you are in charge of annuities for a life insurance company. A customer comes in and wants…

A: Annuity amount =1,000,000 Lets assume Remaining Life =55 years Life in months =660 Interest rate 7%…

Q: Let’s say that you are saving up for retirement and decide to deposit $3,000 each year for the next…

A: The objective of this question is to calculate the difference in the final amount of savings when…

Q: You have just received a windfall from an investment you made in a friend's business. She will be…

A: Given information, Cash flow in year 1 (CF1) = $29,403Cash flow in year 2 (CF2) = $58,806Cash flow…

Q: If you set aside $5,000 per year (i.e., one deposit of $5,000 each year) in a Roth IRA for the next…

A: As per the facts, first contribution is done after one year so it is a case of Ordinary Annuity.…

Q: You would like to provide your investors with a stable income in perpetuity. How much would you need…

A: Given, Annual interest rate is 8.1%. Number of years 20

Q: An investor requires an annual (year-end) income of $15,000 in perpetuity. Assuming a fixed rate of…

A: Information Provided: Yearly annual income = $15,000 Interest rate = 4% NOTE: As per our…

Q: An investor requires an annual (year-end) income of $15,000 in perpetuity. Assuming a fixed rate of…

A: Information Provided: Annual income = $15,000 Interest rate = 4% NOTE: As per our policy, we…

Q: You would like to save $250,000 for retirement. If you are planning to retire 30 years from now, how…

A: Future value of the retirement account should be (FV) = $250000 Number of periods of month payments…

Q: It is now the beginning of the year. Assume that, starting at the end of the year, you will make…

A: The future value of annuity is calculated using following equation Future value = P×(1+r)n-1r Where,…

Q: Suppose you deposit $1,500.00 into and account 7.00 years from today into an account that earns…

A: Future value is an estimated value of a current asset at an assumed growth rate over a certain…

Q: In wisely planning for your retirement, you invest $12,000 per year for 20 years into a 401(k)…

A: Future worth is computed by multiplying the existing value with a given interest rate.

Q: You are evaluating a growing perpetuity product from a large financial services firm. The product…

A: here is the formula for calculating the present value of growing perpetuity PV = A/(r-g) where…

Q: You will invest in something that will give you a payment of $211 two times each year. You plan to…

A: Step 1 An annuity is a contract that you have with an insurance provider that calls for periodic…

Q: You would like to have $78,000 in 12 years. To accumulate this amount, you plan to deposit an equal…

Question

An investor may deposit $2,000 into both a traditional IRA and a Roth IRA. After 30 years, given a 9%
annual return and a 20% tax rate, what will be the value of each account? Which will be higher and
by how much? Why is this?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.

Similar questions

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?
You deposit $2,000 one year and $1000 next year starting year 1 until year 30 with an interest rate of 5% one year and 7% other year. How much money will you have at the end of year thirty if there are different interest rates after year 30 as shown in the diagram below? Select one: a. 18050 b. 90000 c. 106141 d. 120408 e. 117724
Suppose you have a different option to deposit $500 in a savings account at the beginning of each year for 5 years. How much would you have if the account paid 4.25%?
Suppose you invest $4100 in an IRA at the end of every quarter for 13 years, what is the total amount of money you deposited into your IRA?
In wisely planning for your retirement, you invest $35,000 per year for 20 years into a 401k tax-deferred account. Assume you make a real return of 10% per year when the inflation rate averages 3.4% per year. How many future dollars will you have in the account immediately after your last deposit? You will have $ 3788484. future dollars in your account immediately after your last deposit.
Suppose that an individual invests $2,500 at the end of each of the next 6 years and earns an annual interest rate of 8%. Calculate the present value of this series of annuity payments B)Suppose that an individual invests $2,500 at the beginning of each of the next 6 years and earns an annual interest rate of 8%. Calculate the value of this series of annuity payments. How does this result compare with the solution to Part A?
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 that you expect to receive an inheritance of £10,000 in one year. You will want to put this money then on a one-year deposit. Suppose further that, as of today, you are entering into a forward rate agreement to receive 4% on £10,000 for a one-year starting in one year. What is your gain/loss when the realised one-year forward rate in one year is higher than 4%? Provide a relevant example and explain your reasoning.
Using the "Human Life Value" method, how much life insurance should you purchase if you have 45 years until retirement, an annual income of $65,100 received at the start of each years, and a time value of money of 9%? (Assume 80% income replacement, ignore taxes and inflation.)
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.
What's the future value of a 12%, 5-year ordinary annuity that pays $700 each year? If this was an annuity due, what would its future value be? Round your answers to the nearest cent.
You would like to have 950,000 when you retire in 30 years. How much should you invest each quarter if you can earn a rate of 4.8% compounded quarterly? How much should you deposit each quarter? How much total money will you put into the account? How much total interest will you earn?

SEE MORE QUESTIONS

Recommended textbooks for you

Essentials Of Investments

Finance

ISBN:

9781260013924

Author:

Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:

Mcgraw-hill Education,

FUNDAMENTALS OF CORPORATE FINANCE

Finance

ISBN:

9781260013962

Author:

BREALEY

Publisher:

RENT MCG

Financial Management: Theory & Practice

Finance

ISBN:

9781337909730

Author:

Brigham

Publisher:

Cengage

Foundations Of Finance

Finance

ISBN:

9780134897264

Author:

KEOWN, Arthur J., Martin, John D., PETTY, J. William

Publisher:

Pearson,

Fundamentals of Financial Management (MindTap Cou…

Finance

ISBN:

9781337395250

Author:

Eugene F. Brigham, Joel F. Houston

Publisher:

Cengage Learning

Corporate Finance (The Mcgraw-hill/Irwin Series i…

Finance

ISBN:

9780077861759

Author:

Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor

Publisher:

McGraw-Hill Education

Essentials Of Investments

Finance

ISBN:

9781260013924

Author:

Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:

Mcgraw-hill Education,

FUNDAMENTALS OF CORPORATE FINANCE

Finance

ISBN:

9781260013962

Author:

BREALEY

Publisher:

RENT MCG

Financial Management: Theory & Practice

Finance

ISBN:

9781337909730

Author:

Brigham

Publisher:

Cengage

Foundations Of Finance

Finance

ISBN:

9780134897264

Author:

KEOWN, Arthur J., Martin, John D., PETTY, J. William

Publisher:

Pearson,

Fundamentals of Financial Management (MindTap Cou…

Finance

ISBN:

9781337395250

Author:

Eugene F. Brigham, Joel F. Houston

Publisher:

Cengage Learning

Corporate Finance (The Mcgraw-hill/Irwin Series i…

Finance

ISBN:

9780077861759

Author:

Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor

Publisher:

McGraw-Hill Education

SEE MORE TEXTBOOKS