You should never use your personal laptop for work. There's lots of reasons:
1. If your company is sued, and your work is involved in the lawsuit, they can take your laptop for an indeterminate amount of time, and everything on your laptop can be included in evidence.
2. Depending on the country you live in (and this is most countries), you may have no expectation of privacy on the laptop used for work. The software they're installing may (and probably does) have full privileges, and can remotely access your data and running apps.
3. Depending on the country you live in (and this is most countries), any work you do on that laptop may belong to your company, even if done outside of working hours, because your laptop is being used as a work laptop.
4. You don't want to be the weak link in your company's security. Work laptops tend to be more locked down, have fewer, more thoroughly vetted applications, and your company is ideally also ensuring the applications (and OS) you're running are patched. If you're owned through a non-work related application, and that is used to escalate privileges into the company, who's liable here? You never want that to be a question.
5. Companies tend to disallow employees from bringing company devices into certain countries. This would also mean you can't bring your own laptop to those countries either.
6. What happens to the company data when you stop working for them? Will they remote wipe your laptop?