<prompt> Human: Good evening you smart, way-better-than-me-at-finance folk.My ex wife and I are currently in talks about the house we jointly own. We divorced on October of 2017 and it is in the divorce decree that I would live in the house until it sold, no end date on the sell date. We currently owe about 105,000 on the house. We bought the house in November 2014, no payments made until January 2015. Average monthly payments have been roughly 950. We were married when we purchased the home, she moved out in August of 2017, but I was the only one paying on the house from may 2017 until now not sure if that actually matters.Tonight she told me that if I wanted to buy out her portion of the house that she is willing to do that, Im just curious what that number looks like. Is it half of the value of the house? Or does it just involve the actual equity we have paid into it? I just want to have a rough estimate to go on in order to decide how to move forward with this as I was planning on contacting a realtor within the month to get the ball rolling on selling it though I would absolutely love to be able to stay in the house as I can afford it alone.Thank you!  <response>: In general, the theory is you take the equity in the home sale proceeds - current mortgage balance, divide that equally, and thats the price to buy her out. What you paid in is somewhat irrelevant, though you can make a case that you would use the value of the home when you separated, as opposed to the current value.In practice, its sometimes contentious to establish the market value. You may also have tax consequence to deal with, but probably not if this is your primary residence. 