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What is an equivalent rate?

Updated: 10/27/2022
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12y ago

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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 rate

Results• equivalent nominal annual rate• equivalent periodic rate

Example

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%.

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What is 2000 is compounded quarterly at a rate of 8 percent for 5 years?

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.?


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