Corporate Finance (4th Edition) (Pearson Series in Finance) - Standalone book
4th Edition
ISBN: 9780134083278
Author: Jonathan Berk, Peter DeMarzo
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 4, Problem 46P
Summary Introduction
To determine: The percentage of income that has to be contributed by Person X every year in order to fund his retirement.
Introduction:
The present value is an amount that an individual has to make an investment at present in order to generate the cash flow in future. The present value of the cash flows can be computed by adding the cash flow of every stream.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Please show all steps on how to solve this problem. Your new boss doesn’t have a pension or 401(k) plan for your retirement, but she agrees to place aside $12,000 every year once a year for four years. She gives you the option of either starting immediately on your first day of work or starting one year from now. That makes this the difference between an ordinary annuity and an annuity due. If the plan earns 5% per year, compounded annually, what will be the difference between the two approaches after the four years / four payments? (RESOURCE: Annuities formulas) Note: We solve for both the future value of an ordinary annuity and the future value of an annuity due.
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%, what is the present value of your retirement savings?
please answer fast i give upvote
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 future value at retirement (age 65) of your savings is:
Chapter 4 Solutions
Corporate Finance (4th Edition) (Pearson Series in Finance) - Standalone book
Ch. 4.1 - Prob. 1CCCh. 4.1 - Prob. 2CCCh. 4.2 - Prob. 1CCCh. 4.2 - Prob. 2CCCh. 4.2 - Prob. 3CCCh. 4.3 - Prob. 1CCCh. 4.3 - Prob. 2CCCh. 4.4 - Prob. 1CCCh. 4.4 - What benefit does a firm receive when it accepts a...Ch. 4.5 - How do you calculate the present value of a a....
Ch. 4.5 - How are the formulas for the present value of a...Ch. 4.6 - Prob. 1CCCh. 4.6 - Prob. 2CCCh. 4.7 - Prob. 1CCCh. 4.7 - Prob. 2CCCh. 4.8 - Prob. 1CCCh. 4.8 - Prob. 2CCCh. 4.9 - Prob. 1CCCh. 4.9 - Prob. 2CCCh. 4.A - Your grandmother bought an annuity from Rock Solid...Ch. 4.A - Prob. A.2PCh. 4 - You have just taken out a five-year loan from a...Ch. 4 - Prob. 2PCh. 4 - Calculate the future value of 2000 in a. Five...Ch. 4 - Prob. 4PCh. 4 - Your brother has offered to give you either 5000...Ch. 4 - Prob. 6PCh. 4 - Prob. 7PCh. 4 - Your daughters currently eight years old. You...Ch. 4 - Prob. 9PCh. 4 - Prob. 10PCh. 4 - Suppose you receive 100 at the end of each year...Ch. 4 - You have just received a windfall from an...Ch. 4 - You have a loan outstanding. It requires making...Ch. 4 - You have been offered a unique investment...Ch. 4 - Prob. 15PCh. 4 - Prob. 16PCh. 4 - How would your answer to Problem 16 change if the...Ch. 4 - The British government has a consol bond...Ch. 4 - What is the present value of 1000 paid at the end...Ch. 4 - You are head of the Schwartz Family Endowment for...Ch. 4 - When you purchased your house, you took out a...Ch. 4 - Prob. 22PCh. 4 - Your grandmother has been putting 1000 into a...Ch. 4 - A rich relative has bequeathed you a growing...Ch. 4 - Prob. 25PCh. 4 - You work for a pharmaceutical company that has...Ch. 4 - Your oldest daughter is about to start...Ch. 4 - A rich aunt has promised you 5000 one year from...Ch. 4 - You are running a hot Internet company. Analysts...Ch. 4 - Prob. 30PCh. 4 - Prob. 32PCh. 4 - Your firm spends 5000 every month on printing and...Ch. 4 - You have just entered an MBA program and have...Ch. 4 - Your credit card charges an interest rate of 2%...Ch. 4 - You have decided to buy a perpetuity. The bond...Ch. 4 - You are thinking of purchasing a house. The house...Ch. 4 - You would like to buy the house and take the...Ch. 4 - You have just made an offer on a new home and are...Ch. 4 - Prob. 40PCh. 4 - Prob. 41PCh. 4 - You are saving for retirement. To live...Ch. 4 - Prob. 43PCh. 4 - Prob. 44PCh. 4 - Prob. 45PCh. 4 - Prob. 46PCh. 4 - Prob. 47PCh. 4 - Prob. 48PCh. 4 - You are shopping for a car and read the following...Ch. 4 - Prob. 50PCh. 4 - Prob. 51PCh. 4 - The Tillamook County Creamery Association...
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
- 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.arrow_forwardMr. Peter Phang, aged 35, is planning to retire at age 55. He understands from his advisor that he currently has a retirement funding shortfall of $800,000 at age 55 when he retires. His financial planner has recommended that he invest his savings in equities to help him meet the retirement funding shortfall. Assuming that the inflation-adjusted rate of return on equities is 5.5%, what is the regular savings which Peter will need to set aside yearly till his retirement?arrow_forwardAssume 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 ________.arrow_forward
- A person wants to withdraw $1000 every month, for 21 years, to supplement their pension check when they retire. a. How much money must be in an account that pays 7% interest compounded monthly, in order to meet their needs? b. How much money must be deposited into an account that pays 6.6% interest compounded monthly in order to achieve this amount? The monthly deposits will be made for 45 years C. How much money was actually deposited in to the account? d. How much money will actually be paid out from this account?arrow_forwardYour friend's father just turned 55 and is thinking of joining CPF LIFE. He tells you that if he sets aside the Basic Retirement Sum (BRS) of $90,500 today, he can expect an approximate monthly payout from age 65 of $780 for as long as he shall live. Alternatively, if he sets aside the Full Retirement Sum (FRS) of $181,000 today, he can expect an approximate monthly payout from age 65 of $1,440. Assume that the interest rate is 4% and that compounding occurs monthly. Required : (a) What is the breakeven age for the BRS plan? (b) What is the breakeven age for the FRS plan? (c) At what life expectancy would your friend's father be indifferent between the two (2) plans? Which plan should he choose given male life expectancy in Singapore?arrow_forwardExperts say that the baby boom generation (born 1946-1960) cannot count on a company pension or Social Security benefits to provide a comfortable retirement. It is recommended that they start to save regularly and early. Michael, a baby boomer, has decided to deposit $3000 every year in an account that pays 12% compounded semiannually for 15 years. a) How much money will be in the account at the end of the 15 years? b) Suppose Michael has determined he needs to accumulate $250,000 from this annuity. What rate would achieve this goal? c) If he cannot get the higher rate, what amount would his payments need to be in order to achieve the goal?arrow_forward
- Suppose you plan on retiring at the age of 35 (early retirement woooooooo!) and expect to live another 45 years to the age of 80. You estimate that you can comfortably live on an allowance of $4,000 per month (including housing and medical expenses) while not working in retirement. If you wanted to purchase an annuity that would make monthly payments of $4,000 to cover your monthly allowance for the 45 years of your retirement, approximately how much money would you need to have saved by the time you are 35 in order to purchase such an annuity if the annuity pays an APR of 3.6%? Group of answer choices $500,000 $100,000 $1 million $2.2 millionarrow_forwardAssume you are 25 and earn $30 comma 90030,900 per year, never expect to receive a raise, and plan to retire at age 55. If you invest 5 percent of your salary in a 401(k) plan returning 77 percent annually, and the company provides a $0.50 per $1.00 match on your contributions up to 3 percent of salary, what is the estimated future value of your 401(k) account? Once you retire, how much can you withdraw monthly if you want to deplete your account over 2525 years?arrow_forwardAssume 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?arrow_forward
- An individual is currently 30 years old, wants to work until the age of 65 and plans on dying at the age of 85. How much will the individual need to have saved by the time he or she is 65 if he or she plans on spending $40,000 per year while retired? You can assume the individual can earn an interest rate of 5.0% and the $40,000 is in addition to any Social Security that may be receivedarrow_forwardAssuming you are considering investing in a defined contribution pension plan. You do not know how many you need to invest into the plan. Please calculate the value of the plan when you retire at 70-years-old. the interest rate or investment return is 10%. You invest 23,500 each year from 20-years-old. You invest 23,500 each year from 25-years-old. You invest 5,000 each year from 20-years-old.arrow_forwardYou decide to replace your income of $70,000 a year in retirement for 30 years. How much do you need in your retirement account the day you retire to make that happen, assuming a real interest rate of 3%?arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
EBK CONTEMPORARY FINANCIAL MANAGEMENTFinanceISBN:9781337514835Author:MOYERPublisher:CENGAGE LEARNING - CONSIGNMENT
Pfin (with Mindtap, 1 Term Printed Access Card) (...FinanceISBN:9780357033609Author:Randall Billingsley, Lawrence J. Gitman, Michael D. JoehnkPublisher:Cengage Learning
Excel Applications for Accounting PrinciplesAccountingISBN:9781111581565Author:Gaylord N. SmithPublisher:Cengage Learning
EBK CONTEMPORARY FINANCIAL MANAGEMENT
Finance
ISBN:9781337514835
Author:MOYER
Publisher:CENGAGE LEARNING - CONSIGNMENT
Pfin (with Mindtap, 1 Term Printed Access Card) (...
Finance
ISBN:9780357033609
Author:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
Publisher:Cengage Learning
Excel Applications for Accounting Principles
Accounting
ISBN:9781111581565
Author:Gaylord N. Smith
Publisher:Cengage Learning