How do you calculate repayments in a group?
To calculate repayments in a group, first calculate each participant’s fair share, then calculate each person’s balance. Negative balances reimburse positive balances until everyone is settled.
Good to know :
This answer helps you understand a topic or make an estimate, but it is not a substitute for professional advice. For any important decision regarding your health, finances, rights, safety or administrative procedures, please consult an official source or a qualified specialist.
Explanation
The principle is simple: each person should end up bearing the same expense, except in special cases. First, add all shared expenses, then divide the total by the number of participants.
Next, compare each person’s theoretical share with what they actually paid. A person who paid more than their share should receive money. A person who paid less should reimburse.
To reduce the number of transfers, avoid everyone paying everyone. The ideal method is to match the biggest debtors with the biggest creditors until the group is balanced. That is exactly what a group expense calculator does.
Formula / method
Total = sum of all shared expenses
Each person’s share = total ÷ number of participants
Balance = amount paid - fair share
If balance < 0: the person owes money
If balance > 0: the person should receive money
Concrete example
Total expenses: €240 for 4 people. Each person’s share: €60.
- Alice paid €120: balance +€60.
- Bruno paid €80: balance +€20.
- Chloe paid €40: balance -€20.
- David paid €0: balance -€60.
David pays Alice €60. Chloe pays Bruno €20. The group is settled in two transfers.
Common mistake
Do not use a simple average if some expenses concern only part of the group. In that case, separate expenses by subgroup or calculate those costs specifically before doing the global split.
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