When may I apply for jobs requiring more experience than I have right now?
THIS IS DIRECTED SPECIFICALLY TO RELATIVELY NEW GRADUATES...
It depends. When applying for a job for which you lack the precise qualifications, do two things:
1. Acknowledge what you lack and point out skills and experience that might substitute for what the employer is seeking. Use the precise language in the posting, because the first "screener" might be an electronic scanner searching for key words.
2. Be reasonable. You should always apply for jobs asking for 0-3 or 1-3 years of experience. Beyond that, what you really want to develop is a networking connection to the person who gets hired into the job that you want.
Why apply if you don't have the precise qualifications? From the employer's perspectve a job posting from is a search for the "perfect candidate" who isn't always available. You, on the other hand, are available.