Fundamentals of Corporate Finance
11th Edition
ISBN: 9780077861704
Author: Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Bradford D Jordan Professor
Publisher: McGraw-Hill Education
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Chapter 6, Problem 38QP
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1On the day you retire you have $500,000 saved. You expect to live another 30 years during which time you expect to earn 8% on your savings while inflation averages 3.5% annually. Assume you want to spend the same amount each year in real terms and die on the day you spend your last dime. What real amount will you be able to spend each year?
a. $61,931.78 b. $79,211.09 c. $79,644.58 d. $30,695.77
2Now consider your financial objective is to save $500,000 for preparing your retirement, assuming 30 years from now. If you invest your RRSP savings in a mutual fund which can realize an average return of 10% per year. To achieve your goal, how much do you need to save at the end of each year over the 30-year period? a. 4,039.26 b. 3,039.62 c. 2,985.54 d. 10,988.32
3What is the FV of $100 deposited today into an account with an APR 12.6%, compounded semiannually for 10 years? a. 1478.96 b. 3460.06 c. 327.63 d. 339.36
QUESTION 6
You would like to have $49215 in 10 years. If the rate is 9.51%, how much do you have to invest each month?
Problem 3
You are working for a finance firm and a client comes to you and wants to know how much
money they should put in an annuity (which earns 2.275% interest compounded monthly) at the
end of each month for the next 35 years. Their goal is that when they retire at the end of 35
years, they would like the monthly withdrawals from the annuity to total $60,000 per year and
that the annuity is to last for the next 30 years. You are to determine the amount which your
client needs to deposit into the annuity at the end of each month for the next 35 years so that
they can meet their retirement goal. Do the following:
A. Show all your work that you used to answer this problem. Label the steps and important
values as you solve the problem. Note that when you use the TVM Solver, show the all
variables and the values you entered (into the variables) and solved for.
B. Find the total amount of interest client will earn (from the time they start contributing to
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Chapter 6 Solutions
Fundamentals of Corporate Finance
Ch. 6.1 - Prob. 6.1ACQCh. 6.1 - Prob. 6.1BCQCh. 6.1 - Unless we are explicitly told otherwise, what do...Ch. 6.2 - In general, what is the present value of an...Ch. 6.2 - In general, what is the present value of a...Ch. 6.3 - If an interest rate is given as 12 percent...Ch. 6.3 - What is an APR? What is an EAR? Are they the same...Ch. 6.3 - Prob. 6.3CCQCh. 6.3 - What does continuous compounding mean?Ch. 6.4 - What is a pure discount loan? An interest-only...
Ch. 6.4 - What does it mean to amortize a loan?Ch. 6.4 - Prob. 6.4CCQCh. 6 - Two years ago, you opened an investment account...Ch. 6 - A stream of equal payments that occur at the...Ch. 6 - Your credit card charges interest of 1.2 percent...Ch. 6 - What type of loan is repaid in a single lump sum?Ch. 6 - Annuity Factors [LO1] There are four pieces to an...Ch. 6 - Prob. 2CRCTCh. 6 - Prob. 3CRCTCh. 6 - Present Value [LO1] What do you think about the...Ch. 6 - Prob. 5CRCTCh. 6 - Prob. 6CRCTCh. 6 - APR and EAR [LO4] Should lending laws be changed...Ch. 6 - Prob. 8CRCTCh. 6 - Prob. 9CRCTCh. 6 - Prob. 10CRCTCh. 6 - Prob. 11CRCTCh. 6 - Prob. 12CRCTCh. 6 - Prob. 1QPCh. 6 - Prob. 2QPCh. 6 - Prob. 3QPCh. 6 - Prob. 4QPCh. 6 - Calculating Annuity Cash Flows [LO1] If you put up...Ch. 6 - Calculating Annuity Values [LO1] Your company will...Ch. 6 - Calculating Annuity Values [LO1] If you deposit...Ch. 6 - Calculating Annuity Values [LO1] You want to have...Ch. 6 - Prob. 9QPCh. 6 - Calculating Perpetuity Values [LO1] The Maybe Pay...Ch. 6 - Prob. 11QPCh. 6 - Prob. 12QPCh. 6 - Calculating APR [LO4] Find the APR, or stated...Ch. 6 - Calculating EAR [LO4] First National Bank charges...Ch. 6 - Prob. 15QPCh. 6 - Prob. 16QPCh. 6 - Prob. 17QPCh. 6 - Calculating Present Values [LO1] An investment...Ch. 6 - EAR versus APR [LO4] Big Doms Pawn Shop charges an...Ch. 6 - Prob. 20QPCh. 6 - Calculating Number of Periods [LO3] One of your...Ch. 6 - Calculating EAR [LO4] Friendlys Quick Loans, Inc.,...Ch. 6 - Prob. 23QPCh. 6 - Calculating Annuity Future Values [LO1] You are...Ch. 6 - Calculating Annuity Future Values [LO1] In the...Ch. 6 - Prob. 26QPCh. 6 - Prob. 27QPCh. 6 - Prob. 28QPCh. 6 - Simple Interest versus Compound Interest [LO4]...Ch. 6 - Prob. 30QPCh. 6 - Prob. 31QPCh. 6 - Prob. 32QPCh. 6 - Calculating Future Values [LO1] You have an...Ch. 6 - Calculating Annuity Payments [LO1] You want to be...Ch. 6 - Prob. 35QPCh. 6 - Prob. 36QPCh. 6 - Prob. 37QPCh. 6 - Growing Annuity [LO1] Your job pays you only once...Ch. 6 - Prob. 39QPCh. 6 - Calculating the Number of Payments [LO2] Youre...Ch. 6 - Prob. 41QPCh. 6 - Prob. 42QPCh. 6 - Prob. 43QPCh. 6 - Prob. 44QPCh. 6 - Prob. 45QPCh. 6 - Prob. 46QPCh. 6 - Prob. 47QPCh. 6 - Prob. 48QPCh. 6 - Prob. 49QPCh. 6 - Calculating Present Value of a Perpetuity [LO1]...Ch. 6 - Prob. 51QPCh. 6 - Prob. 52QPCh. 6 - Calculating Annuities Due [LO1] Suppose you are...Ch. 6 - Prob. 54QPCh. 6 - Prob. 55QPCh. 6 - Prob. 56QPCh. 6 - Prob. 57QPCh. 6 - Prob. 58QPCh. 6 - Prob. 59QPCh. 6 - Prob. 60QPCh. 6 - Calculating Annuity Values [LO1] You are serving...Ch. 6 - Prob. 62QPCh. 6 - Calculating EAR with Points [LO4] The interest...Ch. 6 - Prob. 64QPCh. 6 - Prob. 65QPCh. 6 - Prob. 66QPCh. 6 - Prob. 67QPCh. 6 - Calculating Annuity Payments [LO1] This is a...Ch. 6 - Prob. 69QPCh. 6 - Prob. 70QPCh. 6 - Prob. 71QPCh. 6 - Calculating Interest Rates [LO4] A financial...Ch. 6 - Prob. 73QPCh. 6 - Prob. 74QPCh. 6 - Ordinary Annuities and Annuities Due [LO1] As...Ch. 6 - Calculating Growing Annuities [LO1] You have 40...Ch. 6 - Prob. 77QPCh. 6 - Prob. 78QPCh. 6 - Prob. 79QPCh. 6 - Prob. 80QPCh. 6 - Prob. 1MCh. 6 - Prob. 2MCh. 6 - Prob. 3MCh. 6 - Prob. 4MCh. 6 - Prob. 5MCh. 6 - Prob. 6M
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- Problem 4 FUTURE VALUE OF AN ANNUITY. Your client is 40 years old; and she wants to begin saving for retirement, with the first payment to come one year from now. She can save $5,000 per year; and you advise her to invest it in the stock market, which you expect to provide an average return of 9% in the future. a. If she follows your advice, how much money will she have at 65? b. How much will she have at 70? c. She expects to live for20 years if she retires at 65 and for 15 years if she retires at 70. If her investments continue to earn the same rate, how much will she be able to withdraw at the end of each year after retirement at each retirement age? Problem 5 FYALUATING LUMP SUMS AND ANNUITIES, Crissie just won the lottery, and she mus lumn sum today of $6arrow_forwardSuppose you invest $130 a month for 8 years into an account earning 10% compounded monthly. After 8 years, you leave the money, without making additional deposits, in the account for another 28 years. How much will you have in the end? $4 Suppose instead you didn't invest anything for the first 8 years, then deposited $130 a month for 28 years into an account earning 10% compounded monthly. How much will you have in the end? %24arrow_forwardRequired information Problem 10.039 - Retirement account calculations 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 retum of 10% per year when the inflation rate averages 3.4% per year. Problem 10.039.a Future dollars in retirement account How many future dollars will you have in the account immediately after your last deposit? You will have $ future dollars in your account immediately after your last deposit.arrow_forward
- Every leap year you get a bonus of $20 000, which you put into a retirement account at 5% interest. If your first payment into the account is made in four years' time, and you put no other money into the account, how long will it be before you can retire with a million dollars? Select one: a. 48 O b. 44 O c. 40 d. 36 e. 52arrow_forwardYou want to be able to withdraw $40,000 from your account each year for 15 years after you retire. You expect to retire in 30 years. If your account earns 9% interest, how much will you need to deposit each year until retirement to achieve your retirement goals? %24arrow_forwardK You are saving for retirement. To live comfortably, you decide you will need to save $1 million by the time you are 65. Today is your 21st 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 9%, how much must you set aside each year to make sure that you will have $1 million in the account on your 65th birthday? The amount to deposit each year is $(Round to the nearest dollar)arrow_forward
- Problem 6 What is the annual equal amount of money you have to set aside to guarantee yourself an annual income to perpetuity of $15,000 starting in 41 years from now? You make the first payment in three years from now and the last payment in 40 years. Assume an interest rate of 7% (EAR).arrow_forwardQ10. You are saving for retirement. To live comfortably, you decide you will need to save $1 million by the time you are 65. Today is your 28th 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 8%, how much must you set aside each year to make sure that you will have $1 million in the account on your 65th birthday? Question content area bottom Part 1 The amount to deposit each year is $ enter your response here. (Round to the nearest dollar.)arrow_forward41. Calculating Annuity Present Values [LO2] You want to borrow $95,000 from your local bank to buy a new sailboat. You can afford to make monthly payments of $1,850, but no more. Assuming monthly compounding, what is the highest rate you can afford on a 60-month APR loan?arrow_forward
- K (Comprehensive problem) You would like to have $60,000 in 16 years. To accumulate this amount, you plan to deposit an equal sum in the bank each year that will earn 10 percent interest compounded annually. Your first payment will be made at the end of the year. a. How much must you deposit annually to accumulate this amount? b. If you decide to make a large lump-sum deposit today instead of the annual deposits, how large should this lump-sum deposit be? (Assume you can earn 10 percent on this deposit.) c. At the end of five years, you will receive $15,000 and deposit this in the bank toward your goal of $60,000 at the end of year 16. In addition to the lump-sum deposit, how much must you deposit in equal annual amounts, beginning in year 1 to reach your goal? (Again, assume you can earn 10 percent on your deposits.) a. How much must you deposit annually to accumulate this amount? (Round to the nearest cent.) ...arrow_forwardQUESTION 8 Your mother has an annuity that will give her monthly payments for 14 years. She tell you it is worth $124357 today. If her required return is 11.56%, what is the monthly payment?arrow_forwardProblem 10: What is a better strategy: saving little but starting early or saving more but starting later ? We will try to answer this question through the following examples. a. Albert deposits $10 every day for 30 years into an account earning interest at the rate of 5.11%/year compounded daily. What is the balance in the account after 30 years ? b. Patrick decides to wait 15 years before he starts but to double the amounts of his deposits to compensate for his late start. He deposits $20 every day for 15 years into the same type of account earning interest at the rate of 5.11%/year compounded daily. What is the balance in the account after 15 years ? c. What do you conclude ?arrow_forward
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What is an Annuity? Are Annuities a Good Investment? Basics of an Annuity, a Whiteboard Animation; Author: Learn to invest;https://www.youtube.com/watch?v=Wq7nq8Gx78w;License: Standard YouTube License, CC-BY