Review of Quantitative Finance and Accounting

, Volume 45, Issue 4, pp 785–801 | Cite as

Credit card balances and repayment under competing minimum payment regimes

  • Timothy Falcon Crack
  • Helen Roberts
Original Research


Although much research has been done on financial literacy and the use of credit cards, ours is the first to focus on the mathematics of competing credit card minimum payment regimes. The lack of prior research is surprising because the Office of the Comptroller of the Currency does not specify exactly what form a credit card minimum payment should take, and yet we show that competing credit card minimum payment regimes have significantly different impacts on both the rate of accumulation and level of credit card debt and also on the time taken to pay that debt off. We give closed-form solutions for the balance owing under competing repayment regimes and two spending scenarios. In addition, we discuss the policy implications for credit card and banking regulators and the personal finance implications for individual consumers using credit cards.


Time value of money Credit cards Minimum payments Debt 

JEL Classification

D14 G12 G28 


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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Department of Accountancy and FinanceUniversity of OtagoDunedinNew Zealand

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