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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??

Question

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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Solution

The question seems to be asking about the difference in effective annual return (EAR) based on different compounding intervals, all with the same nominal rate of 10%.

  1. EAR Annual 10.00%: This means that the interest is compounded once a year. So, if you invest 100,attheendoftheyearyouwillhave100, at the end of the year you will have 110.

  2. EAR Quarterly 10.38%: This means that the interest is compounded four times a year. So, every three months, the interest is calculated and added to the balance. This results in a higher effective return because the interest is being compounded more frequently.

  3. EAR Monthly 10.47%: This means that the interest is compounded twelve times a year. So, every month, the interest is calculated and added to the balance. This results in an even higher effective return because the interest is being compounded even more frequently.

  4. EAR Daily (365) 10.52%: This means that the interest is compounded every day of the year. So, every day, the interest is calculated and added to the balance. This results in the highest effective return because the interest is being compounded the most frequently.

In summary, the more frequently interest is compounded, the higher the effective return will be. This is because each time interest is compounded, it is added to the balance, and then future interest calculations are based on this higher balance.

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Similar Questions

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.

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

The effective annual rate (EAR) for a loan with a stated APR of 10% compounded quarterly is closest to:a.9.65%.b.12.50%.c.15.00%d.10.00%.e.10.38%

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

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%.

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