It seems that the Paint Shop Pro X product from Corel is fully compatible with Windows 8. This means that you can install it normally, without the need to purchase and update for the product. However, if you encounter any kind of compatibility error, try running the program using compatibility features. To do this, just right click on its EXE file and choose Properties > Compatibility tab > Run this program in compatibility with Windows XP or Windows 7.
According to the compatibility center website, all versions of the product can be run on the mentioned Operating System.
