Divorce - retaining equity in marital home - how to share house price growth?

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Hello, my wife and I are getting divorced. It is all amicable and we have managed to get nearly everything agreed without the need for involving solicitors. The thing we cannot work out is how to fairly share any growth in the price of our family home. We think there must be lots of other people who have managed to overcome this issue and would appreciate any advice on here.
Our house is worth approx £400k and we have £200k of equity. The plan is for me to leave my £100k of the equity in the house and transfer ownership to my wife so that she can stay there with our young son. I will then buy another house nearby with an agreement that she will sell the house or buy me out by the time our son is 18 (10 years' time). We are both happy with this arrangement but cannot work out what to do with any increase in the value of the house. She would be paying the mortgage on it so it is only fair that she takes more than half of the growth. However, I will have had £100k sitting there that I could have invested myself. One way of looking at it could be that I currently own a quarter of the house and so should receive a quarter of the sale price. So, if it went for £600k in 10 years' time, I would receive £150k. I would also be happy to pay a quarter of any work needed to maintain the value of the property (new boiler etc).
Does anyone out there know how how others have dealt with this scenario? It isn't causing any disagreements; it is just that we do not know what typically happens in such situations.
Thanks.
Our house is worth approx £400k and we have £200k of equity. The plan is for me to leave my £100k of the equity in the house and transfer ownership to my wife so that she can stay there with our young son. I will then buy another house nearby with an agreement that she will sell the house or buy me out by the time our son is 18 (10 years' time). We are both happy with this arrangement but cannot work out what to do with any increase in the value of the house. She would be paying the mortgage on it so it is only fair that she takes more than half of the growth. However, I will have had £100k sitting there that I could have invested myself. One way of looking at it could be that I currently own a quarter of the house and so should receive a quarter of the sale price. So, if it went for £600k in 10 years' time, I would receive £150k. I would also be happy to pay a quarter of any work needed to maintain the value of the property (new boiler etc).
Does anyone out there know how how others have dealt with this scenario? It isn't causing any disagreements; it is just that we do not know what typically happens in such situations.
Thanks.
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Others might contend that given that it's joint ownership essentially that she is, in part at least, a tenant and therefore may need to have that documented. Again - that's going to be a legal document.
(no direct experience as not happened to me - still married, reasonably happily, for now at least.....)
2023 £1 a day £54.26/365
But I think you've got the right idea of declaring a percentage owned rather than an amount of equity so that you get the same percentage from the sale of the property.
2023 £1 a day £54.26/365
The main question I have is on the calcs. Glad you think my suggestion feels about right.
there is a possibility of a housing market collapse, not saying it’s likely but it could happen, if that were to happen she would be worse off in % terms and that may cause a whole load of new issues
Ensure it's all down in writing.
About the price going up, don't forget a small chance it may be lower but unlikely as the government is printing money. However, it could go down if it was to crumble, sinkholes, problems will nasty new neighbours, a club or fish n chips shop built close to your place.
About how to work out the amount you should get back if the price rises. Personally I'd say nothing as it will be her looking after it, etc.