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%.
If you are given one rate, x/y then multiply (or divide) both numbers by any non-zero number. You will have an equivalent rate.
If you are given a rate of x to y then the equivalent unit rate is x/y to 1.
The annual equivalent rate is 15.5625%. The amount invested is irrelevant to calculation of the equivalent rate.
14.651
They have a constant rate or ratio.
A rate that compares two equivalent measurements is a conversion rate.
If you are given one rate, x/y then multiply (or divide) both numbers by any non-zero number. You will have an equivalent rate.
4m/15sec
The rate is equivalent to 80 to 40.
If you are given a rate of x to y then the equivalent unit rate is x/y to 1.
The annual equivalent rate is 15.5625%. The amount invested is irrelevant to calculation of the equivalent rate.
2
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.?
14.651
% rate = 0.382 * 100% = 38.2%
AER stands for annual equivalent rate
They have a constant rate or ratio.