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].

PV = $4087.85

Method 2

Keep the number of periods per as 1 (Annual Compounding).

Enter the following variables:

N=20 (20 quarters in 5 years)

I/Y = 2% (Annual interest rate /4)

PMT = $250

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

PV = $4087.85

Both the methods are accurate and produce the same result. Try both methods and follow the one you are more comfortable with. One problem in the first method is that you will have to change the compounding frequency (P/Y) and then reset it after you have solved the problem.

Related Downloads

Data Science in Finance: 9-Book Bundle

Data Science in Finance Book Bundle

Master R and Python for financial data science with our comprehensive bundle of 9 ebooks.

What's Included:

  • Getting Started with R
  • R Programming for Data Science
  • Data Visualization with R
  • Financial Time Series Analysis with R
  • Quantitative Trading Strategies with R
  • Derivatives with R
  • Credit Risk Modelling With R
  • Python for Data Science
  • Machine Learning in Finance using Python

Each book includes PDFs, explanations, instructions, data files, and R code for all examples.

Get the Bundle for $29 (Regular $57)
JOIN 30,000 DATA PROFESSIONALS

Free Guides - Getting Started with R and Python

Enter your name and email address below and we will email you the guides for R programming and Python.

Data Science in Finance: 9-Book Bundle

Data Science in Finance Book Bundle

Master R and Python for financial data science with our comprehensive bundle of 9 ebooks.

What's Included:

  • Getting Started with R
  • R Programming for Data Science
  • Data Visualization with R
  • Financial Time Series Analysis with R
  • Quantitative Trading Strategies with R
  • Derivatives with R
  • Credit Risk Modelling With R
  • Python for Data Science
  • Machine Learning in Finance using Python

Each book comes with PDFs, detailed explanations, step-by-step instructions, data files, and complete downloadable R code for all examples.