According to court documents obtained by E! News, the That 70’s Show star purchased a 2-bedroom, 1,800-square-foot home in the Hollywood Hills back in 2009 for more than $970,000. A co-ownership agreement was signed by Ashton and Rumer Willis, which granted each of them 50 percent ownership of the property.
https://www.eonline.com/news/971779/ashton-kutcher-signs-over-house-to-demi-moore-s-daughter-rumer-willis