To convert an APR of 3% to a tri-monthly interest rate, the formula used is (0.03 + 1)^(4/12) - 1. This calculation is based on the future value formula for investments, where A represents the future value, P is the principal amount, r is the annual nominal interest rate, n is the number of compounding periods per year, and t is the time in years. In this scenario, r is set to 0.03 and n is 4, reflecting the quarterly compounding. The method ensures accurate conversion of the annual rate to a tri-monthly basis. Understanding this calculation is essential for effective financial planning and investment strategies.