Financial Management: Theory & Practice
16th Edition
ISBN: 9781337909730
Author: Brigham
Publisher: Cengage
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 4, Problem 8MC
- (1) Define the stated (quoted) or nominal rate INOM as well as the periodic rate IPER.
- (2) 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? - (3) What is the future value of $100 after 5 years under 12% annual compounding? Semiannual compounding? Quarterly compounding? Monthly compounding? Daily compounding?
- (4) 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?
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
What is the value of the continuously compounded nominal interest rate r if the present value of 104 to be recieved after one year is the same as the present value of 110 to be received after two years?
Please solve by hand and show all the steps of answer in order me to understand it at best :)
Hi there,
I am trying to figure out how to calculate interest rates. If the interest rate is 3.75% per year compounded quarterly, what is:
a) Effective quarterly rate
b) effective anual rate
How do i solve these?
Thank you
If the compounding frequency is monthly and the discount factor=0.62026, what is the value of the corresponding annual interest rate?
What is the corresponding continuous compounding annual interest rate if the discount factor remains at 0.62026?
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
- (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%?arrow_forwardAnswer the following Compound Interest problem using the provided formula ONLY. Show your complete solution. 11. Compound Interest What rate in percent compounded monthly is equivalent to 18% compounded semi-annually? 14. When compounded bi-monthly, P150,000 becomes P223,183 after 5 years. What is the nominal rate of interest?arrow_forwardThe discount factor corresponding to a 3-year continuously compounded interest rate is 0.765667. What is the corresponding continuously compounded interest rate? What is the corresponding quarterly compounded interest rate expressed at an annual rate?arrow_forward
- Which of the following end-of-period payments will provide the smallest future value to an investor over a specified term at the same (positive) interest rate and compounding frequency? O $200 payments monthly O $600 payments quarterly O $1200 payments semi-annually $2400 payments annually All of the above will result in the same future valuearrow_forwardGiven an interest rate of 4.8 percent per year, what is the value at date t = 10 of a perpetual stream of $3,200 payments that begins at date t = 20? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)arrow_forwardou can assume that all payments are made at the beginning of the period and use "1" for the "type" argument in the formula. A. Suppose you invest $ 11,400 today. What is the future value of the investment in 29 years, if interest at 7% is compounded annually? B B. Suppose you invest $ 11,400 today. What is the future value of the investment in 29 years, if interest at 7% is compounded quarterly? 4 5 6 27 28 29 C. Suppose you invest St $ 570 monthly. What is the future value of the investment in 29 years, if interest at 5% is compounded monthly? Question 1 Question 2 + Ready Accessibility: Investigate MAR 17 A W +arrow_forward
- You deposit $2X today, $3X one year from now and $3X two years from now. If there are different annual compounding interest rates per period as shown in the diagram below and if you had $19803 at the end of year 3, what is the value of X?arrow_forwardWhat is the future value (at the end of 8 years) of an annuity that pays $700 a quarter over 8 years with the payments invested at 9.3% per annum (assume compounding matches payment periods, common assumption for such problems)? (enter your answer in the following format 123456.78) Answer: Checkarrow_forwardSuppose the inflation rate is compounded annually at 3% APR. Do you prefer compounded semiannually at 5% APR nominal interest rate or compounded quarterly at 2% real interest rate?arrow_forward
- What is the future value (at the end of 10 years) of an annuity that pays $700 a quarter over 10 years with the payments invested at 6.6% per annum (assume compounding matches payment periods, common assumption for such problems)? (enter your answer in the following format 123456.78) Answer:arrow_forwardAssume that you must estimate what the future value will be two years from today using the future value of 1 table. (PV of $1, EV of $1. PVA of $1, and FVA of $1) Which interest rate column and number-of-periods row do you use when working with the following rates? (Round percentage answers to 2 decimal places.) Answer is complete but not entirely correct. Number of Periods 1. 12% annual rate, compounded annually 2.8% annual rate, compounded semiannually 3. 12% annual rate, compounded quarterly 4. 12% annual rate, compounded monthly Interest Rate 12.00 2.00 3.00 1.00 % % % % 2 80 24arrow_forwardIf you are expecting to get OMR 11240 at the end of 9 years; calculate its present value if the interest rate is 2.24% and is computed monthly? Select one: a. 9024.61 b. 9046.11 c. 9042.16 d. 9189.55 e. None of the optioarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
What Does ROI (Return On Investment) Really Mean?; Author: REtipster;https://www.youtube.com/watch?v=Z6ThJvNr1Dw;License: Standard Youtube License