Which of the following statements is correct?Question 4Answera.An annual percentage rate (APR) does not include the effect of compounding, therefore it is usually higher than EAR.b.EAR is the annual interest rate that would earn the same interest with a quoted annual compounding interest rate.c.EAR refers to the interest earned by cash flows from an investment over a one-year period divided by the number of times that interest is compounded during the year.d.An effective annual rate (EAR) is the rate that interest earns in one year before the effect of compounding.
Question
Which of the following statements is correct?Question 4Answera.An annual percentage rate (APR) does not include the effect of compounding, therefore it is usually higher than EAR.b.EAR is the annual interest rate that would earn the same interest with a quoted annual compounding interest rate.c.EAR refers to the interest earned by cash flows from an investment over a one-year period divided by the number of times that interest is compounded during the year.d.An effective annual rate (EAR) is the rate that interest earns in one year before the effect of compounding.
Solution
The correct statement is b. "EAR is the annual interest rate that would earn the same interest with a quoted annual compounding interest rate."
Explanation:
a. This statement is incorrect. The Annual Percentage Rate (APR) does include the effect of compounding, but it is usually lower than the Effective Annual Rate (EAR) because APR does not take into account the effects of compounding within the year.
b. This statement is correct. The Effective Annual Rate (EAR) is the annual interest rate that would earn the same interest as a quoted annual compounding interest rate. It takes into account the effects of compounding within the year, making it a more accurate measure of interest charges.
c. This statement is incorrect. EAR does not refer to the interest earned by cash flows from an investment over a one-year period divided by the number of times that interest is compounded during the year. Rather, it is the annual interest rate that would earn the same interest with a quoted annual compounding interest rate.
d. This statement is incorrect. The Effective Annual Rate (EAR) is the rate that interest earns in one year with the effect of compounding, not before the effect of compounding.
Similar Questions
What is the effective annual rate (EAR)?a.The discount rate for an n-year time interval, where n may be more than one year or less than or equal to one year (a fraction).b.The interest rate that would earn the same interest with annual compounding.c.the ratio of the number of the annual percentage rate to the number of compounding periods per year.d.All of them.e.the cash flows from an investment over a one-year period divided by the number of times that interest is compounded during the year
Which of the following statements is FALSE?a.The annual percentage rate indicates the amount of simple interest earned in one year.b.Because interest rates may be quoted for different time intervals, it is often necessary to adjust the interest rate to a time period that matches that of our cash flows.c.The effective annual rate indicates the amount of interest that will be earned at the end of one year.d.None of them.e.The annual percentage rate indicates the amount of interest including the effect of compounding.
The effective annual rate (EAR) for a savings account with a stated APR of 4% compounded daily (use 365-day year) is closest to: a. 14.60%. b. none of them. c. 4.08%. d. 4.00%. e. 3.92%.
Suppose that your bank account pays an 8% APR. The interest is compounded quarterly. Which of the following statements is correct?a.The periodic rate of interest is 2% and the effective annual rate is greater than 8%.b.The periodic rate of interest is 4% and the effective annual rate is less than 8%.c.The periodic rate of interest is 8% and the effective annual rate is greater than 8%.d.None of them.e.The periodic rate of interest is 2% and the effective annual rate is 4%.
See how the effective return varies betweeninvestments with the same nominal rate(10%), but different compounding intervals.– EAR ANNUAL 10.00%– EAR QUARTERLY 10.38%– EAR MONTHLY 10.47%– EAR DAILY (365) 10.52%32??
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