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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.

Question

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.

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Solution

The correct answer is e. The annual percentage rate indicates the amount of interest including the effect of compounding.

This statement is false because the Annual Percentage Rate (APR) does not take into account the effects of compounding. The APR is the simple interest rate per period multiplied by the number of periods in a year. It does not reflect the actual annual rate of interest with compounding. The Effective Annual Rate (EAR), on the other hand, does take into account the effects of compounding.

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True or False: The effective annual rate of return considers the effect of compounding while the nominal rate does not.A.TrueB.False

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.

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%.

Which of the following statement is False?Group of answer choicesAn annual percentage rate (APR) is the rate that interest earns in one year before the effect of compounding.An APR can’t be used as a discount rate because the APR does not reflect the true amount you will earn in one year.The principal is repaid over the life of an amortising loan.Because the APR does not include the effect of compounding, it is always less than the EAR.

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

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