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
expand_more
expand_more
format_list_bulleted
Question
Chapter 6, Problem 49QP
Summary Introduction
To calculate: The amount that is necessary to invest in the Investment B as it worth’s as much as Investment A of thirteen years from now on
Introduction:
The future sum of money that worth today is described by the present value. Thus, the present value will always be smaller than or equal than the
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
4. Calculating Annuity Present Values An investment offers $6,125 per year
for 15 years, with the first payment occurring one year from now. If the
required return is 8 percent, what is the value of the investment? What
would the value be if the payments occurred for 40 years? For 75 years?
Forever?
LO 1
5. Calculating Annuity Cash Flows For each of the following annuities,
calculate the annual cash flow.
LO1
8
[Question text] You are considering to invest in a savings plan. The plan offers a rate of return of 8 percent per year. The plan requires you to save RM1,500, RM1,250, and RM6,400 at the end of each year for the next three years, respectively, how much do you need to save today?
Select one:
A. RM7,541
B. RM7,203
C. RM8,449
D. RM11,623
What is the most you would be willing to pay for an annuity that provides you with $13,700 at the end of each year for 3 years? Assume that similarly risky opportunities are offering you a return of 5.5% upon investment. $25,294.58 $38,994.58 $43360.50 $36,961.69 $48,020.56
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
Knowledge Booster
Similar questions
- QUESTION 1 i. You just put $1,000 in a bank account that pays 6 percent nominal annual interest, compounded monthly. How much will you have in your account after 3 years? ii. You are currently investing your money in a bank account that has a nominal annual rate of 7 percent, compounded monthly. How many years will it take for you to double your money? iii. A real estate investment has the following expected cash flows: Cash Flows $10,000 Year 1 25,000 3 50,000 35,000 The discount rate is 8 percent. What is the investment's present value?arrow_forwardYou are currently investing your money in a bank account which has a nominal annual rate of 7 percent, compounded monthly. How many years will it take for you to double your money? m Nper (or N) =n*m Rate (or I/Y)=i/m PV PMT FV Identify variables and use excelarrow_forwardK You have an investment account that started with $4,000 10 years ago and which now has grown to $10,000. a. What annual rate of return have you earned (you have made no additional contribution to the account)? b. If the savings bond earns 14% per year from now on, what will the account's value be 10 years from now? What annual rate of return have you earned (you have made no additional contributions to the account)?arrow_forward
- 3. You can expect annual benefit of $15,800 if you deposit $142,200 in a bank account right now. The only catch with this investment is the fact that the annual benefit payments start at the end of the 2nd year. The stream of the benefits is expected to continue for somewhere between 15 and 20 years. What is the payback period of this financial deal?arrow_forwardQUESTION ONE We sometimes need to find out how long it will take a sum of money (or anything else to grow to some specified amount. For example, if a company's sales are growing at a rate of 20% per year, how long will it take sales to double? If you want an investment to double in 3 years, what interest rate must it earn? What is the difference between an ordinary annuity and an annuity due?arrow_forwardQ: Suppose you invest $210,000 in an annuity that returns constant annual payments over 6 years, with the first payment one year from now. At an interest rate of 7%, how much is the annual payment you receive? Equivalent problem structure (as a borrower): Suppose you borrow $210,000 to be paid back in constant annual payments over 6 years with the first payment one year from now. At an interest rate of 7%, how much is the annual payment? Please round your answer to the nearest hundredth Open Formula Summary in separate tab Open Glossary in separate tab Show navigation tips Carrow_forward
- Time for a lump sum to double: If you deposit money today in an account that pays 6.5% annual interest, how long will it take to double your money? Future value -- annuity versus annuity due: What is the future value of a 7%, 5 year ordinary annuity that pays $300 each year? If this were an annuity due, what would its future value be? Present and future values of a cash flow stream: An investment will pay $100 at the end of each of the next 3 years, $200 at the end of Year 4, $300 at the end of Year 5, and $500 at the end of Year 6. If other investments of equal risk earn 8% annually, what is its present value? Its future value? Loan amortization and EAR: You want to buy a car, and a local bank will lend you $20,000. The loan would be fully amortized over 5 years (60 months), and the nominal interest rate would be 12%, with interest paid monthly. What would be the monthly loan payment? What would be the loan’s EAR? Present value of a perpetuity: What s the present value of a $100…arrow_forwardQuestion 3 You are considering to invest in a savings plan. The plan offers a rate of return of 8 percent per year. The plan requires youto save RM1,500, RM1,250, and RM6,400 at the end of each year for the next three years, respectively, how much do you need to savetoday?Select one:A. RM11.623B. RM7 203C. RM8,449D. RM7.541arrow_forwardWhat is the present value of a perpetual stream of cash flows that pays $ 7,500 at the end of year one and the annual cash flows grow at a rate of 2% per year indefinitely, if the appropriate discount rate is 9%? What if the appropriate discount rate is 7%? Question content area bottom Part 1 a. If the appropriate discount rate is 9%, the present value of the growing perpetuity is $ enter your response here . (Round to the nearest cent.)arrow_forward
- 5. Present value of annuities and annuity payments The present value of an annuity is the sum of the discounted value of all future cash flows. You have the opportunity to invest in several annuities. Which of the following 10-year annuities has the greatest present value (PV)? Assume that all annuities earn the same positive interest rate. An annuity that pays $500 at the end of every six months An annuity that pays $1,000 at the beginning of each year An annuity that pays $1,000 at the end of each year An annuity that pays $500 at the beginning of every six months You bought an annuity selling at $17,390.08 today that promises to make equal payments at the beginning of each year for the next eight years (N). If the annuity’s appropriate interest rate (I) remains at 5.00% during this time, then the value of the annual annuity payment (PMT) is . You just won the lottery. Congratulations! The jackpot is $60,000,000, paid in eight…arrow_forwardA new investment opportunity for you is an annuity that pays $1,100 at the beginning of each year for 3 years. You could earn 5.5% on your money in other investments with equal risk. What is the most you should pay for the annuity? Select the correct answer. a. $3,141.25 b. $3,130.95 c. $3,120.65 d. $3,110.35 e. $3,100.05arrow_forward5.3 Annuity Present Value You are looking into an investment that will pay you $12,000 per year for the next 10 years. If you require a 15 percent return, what is the most you would pay for this investment? (See Problem 2.) APR versus EAR The going rate on student loans is quoted as 9 percent APR. The terms of the loan call for monthly payments. What is the effective annual rate, or EAR, on such a student loan? (See Problem 19.) It's the Principal That Matters Suppose you borrow $10,000. You are going to repay the loan by Page 152 making equal annual payments for five years. The interest rate is 14 percent per year. Prepare an amortization schedule for the loan. How much interest will you pay over the life of the loan? (See Problem 55.) 5.4 5.5arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Essentials Of InvestmentsFinanceISBN:9781260013924Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.Publisher:Mcgraw-hill Education,
- Foundations Of FinanceFinanceISBN:9780134897264Author:KEOWN, Arthur J., Martin, John D., PETTY, J. WilliamPublisher:Pearson,Fundamentals of Financial Management (MindTap Cou...FinanceISBN:9781337395250Author:Eugene F. Brigham, Joel F. HoustonPublisher:Cengage LearningCorporate Finance (The Mcgraw-hill/Irwin Series i...FinanceISBN:9780077861759Author: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 ProfessorPublisher:McGraw-Hill Education
Essentials Of Investments
Finance
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Mcgraw-hill Education,
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