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.

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.

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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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%.
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?
Assess the following statements: Simple interest calculations assume the interest earned is never reinvested. The real interest rate is the increment to purchasing power that the lender earns in order to induce him or her to forego current consumption. Earning a 5% interest rate with annual compounding is better than earning a 4.95% interest rate with semiannual compounding. For any positive interest rate the present value of a given annuity will be less than the sum of the cash flows and the future value of the same annuity will be greater than the sum of the cash flows. a. Three statements are incorrect. b. Two statements are incorrect. c. Only one statement is incorrect. d. All statements are correct.
Which of the following statements regarding the interest rates is correct? I As a result of compounding, the effective annual rate on a bank deposit (or a loan) is always equal to or less than the nominal rate on the deposit (or loan). Il If we are given a periodic interest rate, say a monthly rate, we can find the nominal annual rate by multiplying the periodic rate by the number of periods per year. III If a loan or an investment uses annual compounding, its nominal rate is also its effective rate I and III only II and III only I and II only Il only
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Which of the following statements is most correct? A 5-year P100 annuity due will have a higher present value than a 5-year P100 ordinary annuity. A 15-year mortgage will have larger monthly payments than a 30-year mortgage of the same amount and same interest rate. If an investment pays 10 percent interest compounded annually, its effective rate will also be 10 percent. Statements a and c are correct. All of the statements above are correct.
Which of the following statements is most correct? The first payment under a 3-year, annual payment, amortized loan for $1,000 will include a smaller percentage (or fraction) of interest if the interest rate is 5 percent than if it is 10 percent. If you are lending money, then, based on effective interest rates, you should prefer to lend at a 10 percent nominal, or quoted, rate but with semiannual payments, rather than at a 10.1 percent nominal rate with annual payments. However, as a borrower you should prefer the annual payment loan. The value of a perpetuity (say for $100 per year) will approach infinity as the interest rate used to evaluate the perpetuity approaches zero. Statements a, b, and c are all true. Statements b and c are true.
What 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: Check
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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 $
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Suppose you are going to receive $12,700 per year for six years. The appropriate interest rate is 7.6 percent. a-1. What is the present value of the payments if they are in the form of an ordinary annuity? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) a-2.What is the present value if the payments are an annuity due? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b-1. Suppose you plan to invest the payments for six years. What is the future value if the payments are an ordinary annuity? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b-2. Suppose you plan to invest the payments for six years. What is the future value if the payments are an annuity due? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)