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Simulating Intraday Transactions in the Canadian Retail Batch System

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  • Nellie Zhang

Abstract

This paper proposes a unique approach to simulate intraday transactions in the Canadian retail payments batch system. Such transactions are currently unobtainable. The simulation procedure, though demonstrated in the realm of payments systems, has tremendous potential for helping with data-deficient problems where only high-level aggregate information is available. The approach uses the concept of integer composition in combinatorics to break down the daily total value and volume (available) into individual data points (unavailable) throughout the day. The algorithm also introduces a technique to incorporate any intraday timing pattern (known or hypothetical) to make simulated data closer to reality. Simulation results show that the probability distribution of individual payment values is remarkably stable through repeated random sampling. This suggests a high degree of accuracy and viability of this simulation method. In addition, the densities of simulated intraday transactions are found to be invariably skewed to the left of the mean payment value, which reflects the nature of retail payments systems.

Suggested Citation

  • Nellie Zhang, 2023. "Simulating Intraday Transactions in the Canadian Retail Batch System," Staff Working Papers 23-1, Bank of Canada.
  • Handle: RePEc:bca:bocawp:23-1
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    References listed on IDEAS

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    1. Héctor Pérez Saiz & Siddharth Untawala & Gabriel Xerri, 2018. "A Calibrated Model of Intraday Settlement," Discussion Papers 18-3, Bank of Canada.
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      More about this item

      Keywords

      Financial Markets; Payment clearing and settlement systems;

      JEL classification:

      • C - Mathematical and Quantitative Methods
      • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
      • E42 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Monetary Sytsems; Standards; Regimes; Government and the Monetary System
      • E58 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Central Banks and Their Policies

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