# Calculating mileage expenses by applying the principle of compensation - case study Updated by Selim Ounis

Here is a case study example for calculating mileage expenses using the principle of compensation:

My company has configured the following URSSAF scale on its Expensya account

1. I entered mileage expenses in Expensya using a vehicle with a taxable horsepower of 7HP.

A first trip totalling 1,000 miles "trip 1"

• New cumulative distance = 1,000 miles
• The sum of all my other mileage expenses = 0, because I have yet to enter any mileage expenses with this vehicle.
• The formula to be applied is "up to 5,000 miles"
• Value to be reimbursed = (New Cumulative Distance x 0.601) – (The sum of all my other mileage expenses ) = (1,000 x 0.601) - 0 = €601

A trip totalling 2,000 miles "trip 2"

• New cumulative distance = 1,000 + 2,000 = 3,000
• The sum of all my other mileage expenses= 601€
• The formula to be applied is "up to 5000 miles"
• Value to be reimbursed = (New Cumulative Distance x 0.601) – (The sum of all my other mileage expenses ) = ((1,000 + 2,000) x 0.601) - 601 = €1202

A trip totalling 3,000 miles "trip 3"

• New cumulative distance = 1,000 + 2,000 + 3,000 = 6,000
• The sum of all my other mileage expenses = 601 + 1,202 = €1,803
• The formula to be applied is "From 5,000 to 20,000 miles" = (distance x 0.34) + 1,301
• Value to be reimbursed = ((New Cumulative Distance x 0.34) – (The sum of all my other mileage expenses) = ((6,000 x 0.34) + 1,301) - 1,803 = €1,538
1. I then deleted "journey 2" which totalled 2,000 miles

Remaining on my Expensya account is:

•  Cumulative distance = 1,000 + 3,000 = 4,000 miles
• Total sum of all my mileage expenses = 601 + 1,538 = €2,139
1. I add a “journey 4” mileage expense totalling 500 miles
• New cumulative distance = 4000 + 500 = 4500 miles
• The sum of all my other mileage expense = €2139
• The formula to be applied is "up to 5,000 miles” = (distance x 0.601)
• Value to be reimbursed = ((New Cumulative Distance x 0.601) – (The sum of all my other mileage expense ) = (4,500 x 0.601) - 2,139 = €565.50

1. I now remove the “trip 4” and “trip 4” associated mileage expenses
• So, I now only have mileage expenses left for “trip 3”.
• New cumulative distance = 3,000 miles
• The sum of all my other mileage expenses = €1,538

1. In the list of mileage expenses, I can see that "trip 3" has a value of €1,538; I click on it to make modifications and see that the value changes - why is this?

• When opening a mileage expense, Expensya recalculates the value to adjust the amount. This is based on the history of changes to other mileage expenses. Here, for example, a mileage expense has been removed, therefore the value may need to be updated.
• The calculation is changed as follows:

- New cumulative distance = 0 miles (because my "trip 3" is being edited) and the other routes (1, 2 and 4) have been deleted

- The sum of all my other mileage expenses = €0 (because my only trip is in the process of being edited)

- The formula to be applied is "up to 5,000 miles” = (distance x 0.601)

- Value to be reimbursed = (Cumulative Distance x 0.601) – (The sum of all my other mileage expenses) = (3000 x 0.601) – 0 = €1,803

- The value has changed

If I save, the amounts are updated in Expensya, otherwise, compensation is applied to the next mileage expense that is entered.

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