which of the following statements are true? 1. there is an inverse relationship between interest rates and future vales 2. the effective annual interest rate (EAR) will be higher than the annual percentage rate (APR) for a loan that compounds interest annually 3. there is an inverse relationship between present value and interest rates 4. all else equal, the more frequent interest in compounded on a loan, the more interest you will have to pay

which of the following statements are true? 1. there is an inverse relationship between interest rates and future vales 2. the effective annual interest rate (EAR) will be higher than the annual percentage rate (APR) for a loan that compounds interest annually 3. there is an inverse relationship between present value and interest rates 4. all else equal, the more frequent interest in compounded on a loan, the more interest you will have to pay

Financial Management: Theory & Practice

16th Edition

ISBN:9781337909730

Author:Brigham

Publisher:Brigham

Chapter4: Time Value Of Money

Section: Chapter Questions

Problem 12MC: (1) What is the value at the end of Year 3 of the following cash flow stream if the quoted interest...

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(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%?
Suppose that you want to take out a loan and that your local bank wants to charge you an annual real interest rate equal to 3%. Assuming that the annualized expected rate of inflation over the life of the loan is 1%, determine the nominal interest rate that the bank will charge you. What was the actual real interest rate on the loan if, over the life of the loan, actual inflation is 0.5%?
Suppose you have a loan of amount P, and you plan to pay off the debt in10 equal annual installments. Suppose the annual compounding rate is r. What is thepresent (t = 0) value of the 7th installment? (Express your answer in terms of thevariables in the problem P and r and simplify your answer.)
What discount rate should a lender charge to earn an interest of 2 1/4 % on a 90-day loan? Hint: An interest rate r and discount rate d are said to be equivalent if these two simple rates give the same present value for an amount due in the future. Thus, r = d/(1 - dt) and d = r/(1 + rt)
In a discount interest loan, you pay the interest payment up front. For example, if a 1-year loan is stated as $34,000 and the interest rate is 9.50%, the borrower “pays” 0.0950 × $34,000 = $3,230 immediately, thereby receiving net funds of $30,770 and repaying $34,000 in a year. A. What is the effective interest rate on this loan? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) B. What is the effective annual rate on a 1-year loan with an interest rate quoted on a discount basis of 19.50%? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)
pls refer to the image attached, 1. suppose that you have the capacity to pay, would you rather borrow a loan that is amortized monthly, or one that is amortized quarterly? 2. what is your considerations when availing a loan? (quantitative or qualitative considerations) Discuss.
Which of the following statements is CORRECT? An investment that has a nominal rate of 6% with semiannual payments will have an effective rate that is smaller than 6%. If a loan has a nominal annual rate of 8%, then the effective rate can never be greater than 8%. If a loan or investment has annual payments, then the effective, periodic, and nominal rates of interest will all be different. The present value of a 3-year, $150 annuity due will exceed the present value of a 3-year, $150 ordinary annuity.
b) suppose that the market interest rate is 5%. Calculate the present value of the following. Show how your answer is obtained. Calculation using a formula, not using excel. i) A fixed payment loan with annual payments of $163 that matures in three years.
1. What is the different between an ordinary annuity and an annuity due? Which occursmore in practice? Give a common example of both. 2. Using the example of a savings account, explain the difference between the effectiveannual rate and the annual percentage rate. 3. A mortgage instrument pays $1.5 million at the end of each of the next two years. Aninvestor has an alternative investment with the same amount of risk that will payinterest at 8% compounded semiannually. what the investor should pay for themortgage instrument?
Which of the following statements is CORRECT? Question 2 options: a) The proportion of the payment that goes toward interest on a fully amortized loan increases over time. b) An investment that has a nomiral rate of 6% with semiannual payments will have an effective rate that is smaller than 6%. c) If a loan or investment has annual payments, then the effective, periodic, and nominal rates of interest will all be different. d) The present value of a 3-year, $150 ordinary annuity will exceed the present value of a 3-year, $150 annuity due. e) if a loan has a nominal annual rate of 7%, then the effective rate will never be less than 7%.
Which of the following statements is true? Group of answer choices If interest is 13% compounded annually, $1300 due one year from today is equivalent to $1,000 today. The higher the discount rate, the higher the present value. The process of accumulating interest on interest is referred to as discounting. If interest is 4% compounded annually, $1040 due one year from today is equivalent to $1000 today.
Which statement is true about an annual percentage rate (APR)? A) it is of little interest to the average borrower B) it is a simple way to compare all the various elements of different loans C) it is reduced every time you make an payment D) it is equal to the interest rate times the principal