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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.
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What is an equivalent rate?
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%.
How do you calculate monthly interest rate on an annual interest rate?
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] %
What is the effective rate of 18600 invested for one year at 7 and one half percent compounded semiannually?
The annual equivalent rate is 15.5625%. The amount invested is irrelevant to calculation of the equivalent rate.
If the daily interest rate is 3.50 percent what is the annual interest 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.)
What is the daily interst on the annual rate of 17.7 percent?
If the interest is compounded on a daily basis, for 365 days, the equivalent rate is 0.04466 per cent.
