Annuities with Different Compounding Frequencies

In all the above examples for annuities, we assumed that the compounding frequency is annual. However, this may not always be the case and an annuity may have monthly, quarterly, or even semi-annual compounding. We can solve the time value of money problems for any of these compounding frequencies using the BA II Plus calculator.

Let’s take an example. An ordinary annuity pays $250 every quarter for the next 5 years. The expected rate of return is 8% per annum. Calculate the present value of this annuity.

We can solve this problem using two methods.

Method 1:

Since payments are made quarterly, change the number of payments per year to 4. Press [2ND][P/Y]. Input 4 and then press ENTER.

Now enter the following values for variables.

N=20 (20 quarters in 5 years)

I/Y = 8 (Interest rate per annum)

PMT = $250

Then compute the Present Value [CPT][PV].

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