There are two classes of security problems: nuisances and security breaches. A nuisance attack merely prevents you from getting your work done - for example it may cause your computer to crash. Security breaches are more serious: your files could be deleted, your private data could be read, or a virus could infect your machine.
If you are the victim of a security breach, any data stored on your machine may be read or corrupted by a bad guy. If you've got important company secrets on your computer, maybe you should surf the net on another machine.
In the not-too-distant future, your computer may be able to digitally sign documents that are legally binding, just like your paper signature. Your computer may also be able to spend your money. In a world like that, security becomes even more important than it is right now.