Throw out the sample rough math again. How much equity is there in the property? (Sales price minus realtor fees and other costs of selling minus the balance owed on the mortgage). How much is the monthly mortgage payment (principle, interest, property taxes and insurance) and the income from the tenant? How much monthly mortgage payment or rent could you reasonably afford?

Also - how secure is your child support? If he moves to EU and decides not to pay will you have no recourse? Now that you have a job could you afford to pay the mortgage if you use the income from the tenant? Some people negotiate to stay in the house until the child is 18 and then sell and split the profit, with the person residing in the house either paying the mortgage payment in lieu of rent, or paying what rent would cost and splitting other expenses. Granted most with this agreement do not have such young children.

I’d tell him you are looking into the practicality of various options and will get back to him. Then if you decide you can and want to buy him out, make him a lowball offer and see if he’ll take it (he may be so anxious to party with OW that he takes it).