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
Concept explainers
Question
Chapter 6, Problem 9QP
Summary Introduction
To calculate: The
Introduction:
An annuity is a level stream of flow of cash for a particular period. They often appear in financial arrangements and it is a shortcut useful for finding the values. The future cash flowis the accumulated value including interest after a specified period. It is utilized to take effective decision at present or to assess the investment potentiality.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
5. How much would you pay today for a perpetuity of $ 1,000 per year if the prevailing interest rate is 5.25%?
Financila Management
1. PV of an ordinary annuity Suppose you have an opportunity to buy an annuity that pays $1,000 at the end of each year for 5 years, at a 6% interest rate. What is the most you should pay for the annuity?
2. FV of an ordinary annuity Suppose Sandra opens a bank account with 20 000 at the beginning of the year at an interest rate of 8%. If the first deposit is made today and then 3 additional payments, how much would be accumulated after 5 years?
3. FV of an ordinary annuity due An annuity makes 20 annual payments of $3,000 with the first payment coming today. What is the future value of this as of 20 years from now if the interest rate is 8%?
4. PV of a perpetuity What’s the present value of a perpetuity that pays $1500 per year if the appropriate interest rate is 15%? 5. PV of an uneven cash flow stream At a rate of 5%, what is the present value of the following cash flow stream? $0 at Time 0; $250 at the end of Year…
4.13 Calculating Annuity Present Value An investment offers $5,200 per year for 15 years, with the first payment occurring one year from now. If the required return is 7 percent, what is the value of the investment? What would the value be if the payments occurred for 40 years? For 75 years? Forever?
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
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
- Show Solution. Topic: Ordinary Simple Annuity 5. If P450,000 will purchase a 15-year annuity paying P8,750 per month, what rate of interest compounded monthly will the funds invested in the annuity earn?arrow_forwardQ1:If you deposit $10,000 in a bank account that pays 10% interest annually, how much will be in your account after 5 years Q2:What is the present value of a security that will pay $5,000 in 20 years if securities of equal risk pay 7% annually Q3:Your parents will retire in 18 years. They currently have $250,000, and they think they will need $1 million at retirement. What annual interest rate must they earn to reach their goal, assuming they don't save any additional funds? Q4:If you deposit money today in an account that pays 6.5% annual interest, how long will it take to double your money?arrow_forwardH3. Recently, More Money 4U offered an annuity that pays 5.7% compounded monthly. If $2,072 is deposited into this annuity every month, how much is in the account after 8 years? How much of this is interest? Please show proper step by step calculationarrow_forward
- 7How much more is a perpetuity paying $5000 at the end of year worth than an annuity paying the same annual amounts at the end of each year for 30 years? Assume an interest rate of 5%. a. $10,635.08 b. $21,976.29 c. $50,000.00 d. $23,137.74 8Miller's Hardware plans on saving $40,000, $50,000, and $58,000 at the end of each year for the next three years, respectively. How much will the firm have saved at the end of the three years if it can earn 6% by reinvesting its saving? a. $155,944.00 b. $169,004.13 c. $148,000.00 d. $148,078.15 9On 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. $30,695.77arrow_forwardSuppose you are going to receive $13,500 per year for five years. The interest rate is 8.4%a. What is the present value of the payments if they are in the form of an ordinary annuity? What is the present value if the payments are an annuity due?b. Suppose you plan to invest the payments for five years. What is the future value if the payments are an ordinary annuity? What if the payments are annuity due?c. Which has the highest present value (future value), the ordinary annuity or annuity due?arrow_forward1)[Deferred annuity] You consider purchasing an annuity that pays $2000/yr for 10 years. You are willing to wait until 9 years later to receive the first payment and the interest rate is 10%. How much are you willing to pay for this deferred annuity today? 2)The correct answer is 5,732.97 3)What are the steps to calculate this with a financial calculator?arrow_forward
- 7 - When you estimate that you can buy a house for 1,000,000 TL in 10 years, if you accept that the interest rate is 25% and will not change; Approximately how much money do you need to deposit in the bank annually? (The future value of annuities will be calculated with the formula.) a) 78,898 TL B) 65,778 TL NS) 40,345 TL D) 30,073 TL TO) 76,778 TLarrow_forward2. Find the future value of OMR10,000 invested now after five years if the annual interest rate is 8 percent. a. What would be the future value if the interest rate is a simple interest rate? b. What would be the future value if the interest rate is a compound interest rate?arrow_forwardAn investor is considering an annuity that pays $40,000 per year for four years. 1. Assuming the first $40,000 is paid in a years time given a discount rate of 4% what should the investor pay for this annuity today? 2. Assuming the first $40,000 is paid out immediately what should the investor pay today? (Asssume same discount rate). 3. If the investor pays $130,000 today and assuming the first paymentarrives in a years time, what would this investment’s internal rate of return be? (Asssume same discount rate). 4. What would the investor pay today if the first payment arrived in 5years time? (Asssume same discount rate). 5. If the investor invests $40,000 per year at the end of the next 4 years what would this be worth in 4 years time? (Asssume same discount rate).arrow_forward
- 4. (a) How many years will it take to have $5,800 if you invest $1,500 at 5%compounded monthly?(b) What effective annual interest rate would this be equivalent to?arrow_forward5e. Suppose you are willing to continue making monthly payments of $1402, and want to pay off the mortgage in 25 years. How much additional cash can you borrow today as part of the refinancing?arrow_forwardHow much would $5,000 due in 10 years be worth today if the discount rate were 5.5%? a. $2,722.25 b. $3,395.50 c. $3,102.78 d. $2,575.89 e. $2,927.15What is the PV of an ordinary annuity with 10 payments of $7,900 if the appropriate interest rate is 5.5%? a. $59,547.24 b. $47,637.80 c. $55,378.94 d. $57,760.83 e. $48,233.27You want to buy a new sports car 3 years from now, and you plan to save $9,100 per year, beginning one year from today. You will deposit your savings in an account that pays 5.2% interest. How much will you have just after you make the 3rd deposit, 3 years from now? a. $34,205.61 b. $31,331.18 c. $33,630.72 d. $28,744.21 e. $23,282.81You plan to invest in bonds that pay 6.0%, compounded annually. If you invest $10,000 today, how many years will it take for your investment to grow to $45,000? a. 31 years b. 32 years c. 30 years d. 19 years e. 26…arrow_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 Learning
Corporate 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