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Interest payments can calculated annually, quarterly, monthly, daily or even continuously. To enable consumers to compare rates quoted over different periods, many authorities require financial institutions to calculate the total compound interest over a year. That is the AER.

Q: What is 'Annual Equivalent Rate'?

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Equivalent RatesThe Equivalent Rates calculation is used to find the nominal annual interest rate compounded n times a year equivalent to a given nominal rate compounded m times per year.Two nominal rates with different compounding frequencies are equivalent if they yield the same amount of interest per year (and hence, at the end of any period of time).Input• nominal annual rate for the given rate• compounding frequency for the given rate• compounding frequency for the equivalent rateResults• equivalent nominal annual rate• equivalent periodic rateExample•A bank offers 14.75 % compounded annually.What would be the equivalent rate compounded monthly?InputGiven nominal annual rate:14.75 %Compounding frequency for given rate:annuallyCompounding frequency for equivalent rate:monthlyResultEquivalent nominal annual rate:13.8377 %Answer: 13.8377%.

If not compounded monthly, a monthly interest rate is simply 1/12 of the annual rate. Things do get complicated, though if the interest is compounded monthly. An annual interest rate of R% is equivalent to a monthly rate of 100*[(1 + R/100)^(1/12) - 1] %

The annual equivalent rate is 15.5625%. The amount invested is irrelevant to calculation of the equivalent rate.

3.5% interest compounded daily is equivalent to 3.562% annual yield.(It can't possibly be 3.5% daily. That would compound to 28,394,072% in a year.)

Annual Equivalent Rate - AERInterest that is calculated under the assumption that any interest paid is combined with the original balance and the next interest payment will be based on the slightly higher account balance. Overall, this means that interest can be compounded several times in a year depending on the number of times that interest payments are made.In the United Kingdom, the amount of interest received from savings accounts is listed in AER form.Calculated as:Where:n = number of times a year that interest is paidr = gross interest rateInvestopedia Says:For example, a savings account with a quoted interest rate of 10% that pays interest quarterly would have an annual equivalent rate of 10.38%. Investors should be aware that the annual equivalent rate will typically be higher than the actual annual rate calculated without compounding.Above retrieved from Answers.comViper1

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Equivalent RatesThe Equivalent Rates calculation is used to find the nominal annual interest rate compounded n times a year equivalent to a given nominal rate compounded m times per year.Two nominal rates with different compounding frequencies are equivalent if they yield the same amount of interest per year (and hence, at the end of any period of time).Input• nominal annual rate for the given rate• compounding frequency for the given rate• compounding frequency for the equivalent rateResults• equivalent nominal annual rate• equivalent periodic rateExample•A bank offers 14.75 % compounded annually.What would be the equivalent rate compounded monthly?InputGiven nominal annual rate:14.75 %Compounding frequency for given rate:annuallyCompounding frequency for equivalent rate:monthlyResultEquivalent nominal annual rate:13.8377 %Answer: 13.8377%.

AER stands for annual equivalent rate

The answer will depend on whether the 8% refers to a quarterly rate or an annual equivalent rate.5 years = 5*4 = 20 quarters.At a quarterly rate, it is 2000*(1.08)20?= 9321.66 approx.At an annual equivalent rate of 8% (that is 1.94% per quarter), ?the total is 938.66 approx.?The answer will depend on whether the 8% refers to a quarterly rate or an annual equivalent rate.5 years = 5*4 = 20 quarters.At a quarterly rate, it is 2000*(1.08)20?= 9321.66 approx.At an annual equivalent rate of 8% (that is 1.94% per quarter), ?the total is 938.66 approx.?The answer will depend on whether the 8% refers to a quarterly rate or an annual equivalent rate.5 years = 5*4 = 20 quarters.At a quarterly rate, it is 2000*(1.08)20?= 9321.66 approx.At an annual equivalent rate of 8% (that is 1.94% per quarter), ?the total is 938.66 approx.?The answer will depend on whether the 8% refers to a quarterly rate or an annual equivalent rate.5 years = 5*4 = 20 quarters.At a quarterly rate, it is 2000*(1.08)20?= 9321.66 approx.At an annual equivalent rate of 8% (that is 1.94% per quarter), ?the total is 938.66 approx.?

AER stands for annual equivalent rate

AER stands for annual equivalent rate.

The answer depends on whether the 7.5 percent refers to an annual equivalent rate (AER) or a semi-annual rate.If it the AER, then the amount is 12074.41 (approx).In the unlikely event that it is the 6-month rate (equivalent to almost 15.6% per annum), the initial amount is 9719.42The answer depends on whether the 7.5 percent refers to an annual equivalent rate (AER) or a semi-annual rate.If it the AER, then the amount is 12074.41 (approx).In the unlikely event that it is the 6-month rate (equivalent to almost 15.6% per annum), the initial amount is 9719.42The answer depends on whether the 7.5 percent refers to an annual equivalent rate (AER) or a semi-annual rate.If it the AER, then the amount is 12074.41 (approx).In the unlikely event that it is the 6-month rate (equivalent to almost 15.6% per annum), the initial amount is 9719.42The answer depends on whether the 7.5 percent refers to an annual equivalent rate (AER) or a semi-annual rate.If it the AER, then the amount is 12074.41 (approx).In the unlikely event that it is the 6-month rate (equivalent to almost 15.6% per annum), the initial amount is 9719.42

If not compounded monthly, a monthly interest rate is simply 1/12 of the annual rate. Things do get complicated, though if the interest is compounded monthly. An annual interest rate of R% is equivalent to a monthly rate of 100*[(1 + R/100)^(1/12) - 1] %

The annual equivalent rate is 15.5625%. The amount invested is irrelevant to calculation of the equivalent rate.

3.5% interest compounded daily is equivalent to 3.562% annual yield.(It can't possibly be 3.5% daily. That would compound to 28,394,072% in a year.)

Annual Equivalent Rate - AERInterest that is calculated under the assumption that any interest paid is combined with the original balance and the next interest payment will be based on the slightly higher account balance. Overall, this means that interest can be compounded several times in a year depending on the number of times that interest payments are made.In the United Kingdom, the amount of interest received from savings accounts is listed in AER form.Calculated as:Where:n = number of times a year that interest is paidr = gross interest rateInvestopedia Says:For example, a savings account with a quoted interest rate of 10% that pays interest quarterly would have an annual equivalent rate of 10.38%. Investors should be aware that the annual equivalent rate will typically be higher than the actual annual rate calculated without compounding.Above retrieved from Answers.comViper1

If the interest rate is the annual equivalent rate then the frequency of compounding is irrelevant.In that case, it would be 146.93In the unlikely even that the interest rate is 8% per month, equivalent to approx 152% annual, it would be worth 10125.71

If the interest is compounded on a daily basis, for 365 days, the equivalent rate is 0.04466 per cent.