Financial Management: Theory & Practice
16th Edition
ISBN: 9781337909730
Author: Brigham
Publisher: Cengage
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 4, Problem 12MC
- (1) What is the value at the end of Year 3 of the following cash flow stream if the quoted interest rate is 10%, compounded semiannually?
- (2) What is the PV of the same stream?
- (3) Is the stream an
annuity ? - (4) An important rule is that you should never show a nominal rate on a time line or use it in calculations unless what condition holds? (Hint: Think of annual compounding, when INOM = EFF% = IPER.) What would be wrong with your answers to parts (1) and (2) if you used the nominal rate of 10% rather than the periodic rate, INOM/2 = 10%/2 = 5%?
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Please answer this question: What is the value at the end of Year 3 of the following cash flow stream if interest is 4% compounded semiannually? (Hint: you can use the EAR and treat the cash flows as an ordinary annuity or use the periodic rate and compound the cash flows individually.) What is the PV? What would be wrong with your answer to parts I(1) and I(2) if you used the nominal rate, 4%, rather than the EAR or the periodic rate, I sow /2=4%/2=2%, to solve the problems?
This problem demonstrates the dependence of an annuity's future value on the size of the periodic payment. Suppose a fixed amount will be invested at the end of each year and that the invested funds will earn 5.3% compounded annually. What will be the future value of the investments after 15 years if the periodic investment is: (Do not round intermediate calculations and round your final answers to 2 decimal places.) Investment Future Value
a. $2,300 per year $ b. S3, 300 per year $ c. S4, 300 per year $
Consider the following cash flows:
Year
Cash Flow
2
$
22,900
3
40,900
5
58,900
Assume an interest rate of 9.7 percent per year.
a.
If today is Year 0, what is the future value of the cash flows five years from now? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
b.
If today is Year 0, what is the future value of the cash flows ten years from now? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
Chapter 4 Solutions
Financial Management: Theory & Practice
Ch. 4 - Prob. 2QCh. 4 - An annuity is defined as a series of payments of a...Ch. 4 - If a firm’s earnings per share grew from $1 to $2...Ch. 4 - Prob. 5QCh. 4 - If you deposit 10,000 in a bank account that pays...Ch. 4 - What is the present value of a security that will...Ch. 4 - Your parents will retire in 18 years. They...Ch. 4 - Prob. 4PCh. 4 - You have $42,180.53 in a brokerage account, and...Ch. 4 - What is the future value of a 7%, 5-year ordinary...
Ch. 4 - An investment will pay 100 at the end of each of...Ch. 4 - You want to buy a car, and a local bank will lend...Ch. 4 - Find the following values, using the equations,...Ch. 4 - Use both the TVM equations and a financial...Ch. 4 - Find the future value of the following annuities....Ch. 4 - Prob. 13PCh. 4 - Prob. 14PCh. 4 - Find the interest rate (or rates of return) in...Ch. 4 - Prob. 16PCh. 4 - Find the present value of 500 due in the future...Ch. 4 - Prob. 18PCh. 4 - Universal Bank pays 7% interest, compounded...Ch. 4 - Sales for Hanebury Corporation’s just-ended year...Ch. 4 - Washington-Pacific (W-P) invested $4 million to...Ch. 4 - A mortgage company offers to lend you 85,000; the...Ch. 4 - To complete your last year in business school and...Ch. 4 - Prob. 25PCh. 4 - You need to accumulate 10,000. To do so, you plan...Ch. 4 - Prob. 27PCh. 4 - Assume that you inherited some money. A friend of...Ch. 4 - Assume that your aunt sold her house on December...Ch. 4 - Your company is planning to borrow $1 million on a...Ch. 4 - Prob. 31PCh. 4 - Prob. 32PCh. 4 - You want to accumulate $1 million by your...Ch. 4 - Prob. 1MCCh. 4 - Prob. 2MCCh. 4 - We sometimes need to find out how long it will...Ch. 4 - If you want an investment to double in 3 years,...Ch. 4 - Whats the difference between an ordinary annuity...Ch. 4 - Prob. 6MCCh. 4 - Prob. 7MCCh. 4 - Define the stated (quoted) or nominal rate INOM as...Ch. 4 - Will the effective annual rate ever be equal to...Ch. 4 - (1) Construct an amortization schedule for a...Ch. 4 - Prob. 11MCCh. 4 - (1) What is the value at the end of Year 3 of the...Ch. 4 - Suppose someone offered to sell you a note calling...
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
- Define the stated (quoted) or nominal rate INOM as well as the periodic rate IPER. Will the future value be larger or smaller if we compound an initial amount more often than annually—for example, every 6 months, or semiannually—holding the stated interest rate constant? Why? What is the future value of $100 after 5 years under 12% annual compounding? Semiannual compounding? Quarterly compounding? Monthly compounding? Daily compounding? What is the effective annual rate (EAR or EFF%)? What is the EFF% for a nominal rate of 12%, compounded semiannually? Compounded quarterly? Compounded monthly? Compounded daily?arrow_forwardYou put $250 in the bank for S years at 12%. A. If interest is added at the end of the year, how much will you have in the bank after one year? Calculate the amount you will have in the bank at the end of year two and continue to calculate all the way to the end of the fifth year. B. Use the future value of $1 table in Appendix B and verity that your answer is correct.arrow_forwardTime value of MoneyPart-I, Mr. Zigong wishes to know about the future values of the single cash flow deposited today that will beavailable at the end of the deposit period if the interest is compounded annually at the rate specified oversome specific period. For example, the situation for the first case is that single cash flow is 200$, interestrate is 5%, and deposit period is 20 years. Under second case, single cash flow is 4500$, interest rate is8%, and deposit period is 7 years. Whereas under third case, single cash flow is 10,000$, interest rate is9%, and deposit period is 10 years. In addition, under fourth case, single cash flow is 25,000$, interestrate is 10%, and deposit period is 12 years. Besides, under last case, single cash flow is 37000$, interestrate is 11%, and deposit period is 5 years, respectively. Part-II, The significance of present value is quite vital in the financial world of the business. Calculate the present value of the cash…arrow_forward
- Suppose you expect to receive the following future cash flows at the end of the years indicated. $2300 in year 2, $5200 in year 4, $2600 in year 5, and $8000 in year 9. If the interest rate is 13% per year. What is the value of all the four flows at year 3?arrow_forwardConsider a five-year annuity, with an annual cash flow of $2,500 and a 2.5% rate of discount/yield. If the maturity is raised to six years, all else the same, its price: decreases increases does not changearrow_forwardSuppose you just bought an annuity with 11 annual payments of $16,400 at a discount rate of 13.5 percent per year. What is the value of the investment at the current interest rate of 13.5 percent? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. What happens to the value of your investment if interest rates suddenly drop to 8.5 percent? Note: Do not round intermediate calculations and roundarrow_forward
- What is the present value of a perpetuity stream of cash flows that pays P1,000 at the end of year one, and the annual cash flows grow at a rate of 4% per year indefinitely, if the appropriate discount rate is 8%?arrow_forward1. Suppose that a loan of $9,000 is given at an interest rate of 2% compounded each year. Assume that no payments are made on the loan. Follow the instructions below. Do not do any rounding. (a.) Find the amount owed at the end of 1 year. $_____?(b.) Find the amount owed at the end of 2 years. $_____? 2. If the rate of inflation is 2.5% per year, the future price p(t) (in dollars) of a certain item can be modeled by the following exponential function, where t is the number of years from today. p(t)=2000(1.025)t Find the current price of the item and the price 10 years from today. (Roud your answers to the nearest dollar as necessary.) Current Price: $_____?Price 10 years from today: $_____?arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Principles of Accounting Volume 2AccountingISBN:9781947172609Author:OpenStaxPublisher:OpenStax CollegeEBK CONTEMPORARY FINANCIAL MANAGEMENTFinanceISBN:9781337514835Author:MOYERPublisher:CENGAGE LEARNING - CONSIGNMENT
Principles of Accounting Volume 2
Accounting
ISBN:9781947172609
Author:OpenStax
Publisher:OpenStax College
EBK CONTEMPORARY FINANCIAL MANAGEMENT
Finance
ISBN:9781337514835
Author:MOYER
Publisher:CENGAGE LEARNING - CONSIGNMENT
What is a mortgage; Author: Kris Krohn;https://www.youtube.com/watch?v=CFjY-58ooi0;License: Standard YouTube License, CC-BY
Topic 10 Accounting for Liabilities Mortgage Payable; Author: Accounting Thinker;https://www.youtube.com/watch?v=EPJOphrbArM;License: Standard YouTube License, CC-BY