The following formula is involved in the calculation of annual percentage rates for single-payment loans:
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Annual percentage rate (simple interest method):

where N is the duration of the loan in years, C is the total loan finance charges, and P is the total amount borrowed.
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The following references can be used to cite this annual percentage rate (apr) calculator for a single-payment loan:
 | Soper, D.S. (2019) "Annual Percentage Rate (APR) Calculator for a Single-Payment Loan (Online Software)", http://www.danielsoper.com/fincalc. |
 | Siegel, J. and Shim, J. (1997). "Schaum's Quick Guide to Business Formulas", New York, NY: McGraw-Hill. |