I think you will find that every accounting package in the world includes a 
sixth category for bank accounts. Probably for the reason you give. If a 
bank account gets overdrawn  then you would suddenly have to change it from 
an asset account to a liability account.

You are right that what you describe has nothing to do with equity.

If I understand you correctly, Company 1 and Company 2 can change from 
being a net creditor to a net debtor and vice versa at any time. If this is 
the case then you really need to leave an audit trail rather than rely on 
sed to create a report that doesn't exist for your business.

This just means that at the appropriate time (like when you have to submit 
a report to the tax man), you need to make an adjusting entry. For example, 
If Company 1 has a net liability account balance of +$500 (meaning that it 
has become a net asset) then you would make the following entry :
2019/10/10 * Company 1
   Liabilities:Accounts Payable     $ -500.00
   Assets:Accounts Receivable        $ 500.00

I am sure that such adjusting entries would only have to be made a couple 
of times per year and don't represent any hardship for you.

On Thursday, October 10, 2019 at 8:51:22 AM UTC+8, Remco Rijnders wrote:
>
> Hi, 
>
> Thank you for this and I think I hear what you are saying. That said, I 
> still think it is not an elegant solution. In my view, the Equity account 
> should be solely the owners equity or an individuals net worth. Creating a 
> seperate Bank category would also not be my preference as I'd like to 
> stick to the five account categories in general use (See: 
>
> https://en.wikipedia.org/wiki/Debits_and_credits#The_five_accounting_elements 
> ). 
>
> Maybe I used somewhat incorrect terminology in my original post, in my 
> situation it pertains to the credit/debit position on an account between 
> two related companies. The credit position on that account at company 1 is 
> reflected as a debit position on an account with the same name and 
> characteristics at company 2. Any debit mutation is immediately netted 
> with an existing credit position and vice versa. I could use the booking 
> rules as you propose, but then I would always have to do the netting 
> myself by adjusting Accounts Receivable whenever I adjust Accounts 
> Payable which also seems cumbersome. 
>
> Perhaps what I am looking for, just isn't on offer in ledger? I could 
> live with that just fine, but thought I would ask anyways :-) 
>
> Kind regards, 
>
> Remco Rijnders 
>

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