Count back for turnover

Hello everybody,

 

I've come across a task to count some KPI's based on count back method.

For instance, I need to count how many days it takes a company to cover its Account Receivable (AR) amount with monthly Revenues.

It means that if a company has AR at Jan end = $ 2000 and Revenues as:

current month (Jan) = $ 200

month-1 (Dec)= $ 400

month-2 ( Nov) = $ 600

month-3 (Oct) = $ 700

month-4 (Sep) = $ 500

 

then as per this methodology AR turnover in days will be = 31 (Jan) + 31 (Dec) + 30 (Nov) + 31 (Oct) + 6 (Sep) [30 (Sep) * 100(remaining AR to be covered by Sep revenue) / 500 (Sep revenue)] = 129 days

 

Could you please recommend the best way to calculate such things if I have model where the lowest time frame is month and this indicator is to be calculated for each month?

 

Thank you.

 

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