AR open Items Migration with Dunning history

Dear Experts,

Please could you share your opinion and experience in the below issue

We are migrating AR open items data from one company code (say AB01) to another company code (say AB02) within SAP, we are following the approach, download AR open items fromAB01 and Migrate to AB02 with same parameters of AB01 (document date, baseline date, assignment number, text, payment terms every thing is same, there will be no change)

Now the question Iu2019ve is whether dunning history can migrate to company code AB02, please have a look it the following example to understand the issue

AB01 data

Customer Open item amount Current dun level last dun date

100015 1000 1 10.05.2009

100015 2500 2 10.05.2009

100015 500 4 10.05.2009

Over all customer dunning status is : Highest level is 4

Now we wanted to migrate same data to AB02 including dunning history.

Certainly, we can migrate above open items data with dunning level, and master data history as well.

Having said that, will the system able to dun next dunning level in AB02 (in the above example it should be level 5). .?

Please could you advise me possible options which you had come across.

My opinion is, system has to determine levels and update history in systematic way, rather than manipulating in our style.

(Information: Iu2019d had quick test migrating test data into new company code AB02 including history which is same as AB01 and MHNK table history, even though system has not picked next dunning level)

Would appreciate your replies.

Regards

Prab