The P60, in a nutshell, is a summary of your income and taxes deducted while you were working in the company. It is rather unusual for the finance department to take it a step further i.e. completing your personal tax return on your behalf.
The simple rule is that if you have been issued with a self assessment tax return by HMRC, then please complete it bearing in mind the submission deadline. If you haven't been issued one like the majority of the tax payers in this country, then there is no requirement for you to file it unless you have specifically requested for the return from HMRC to declare more income, reclaim overpaid tax etc.
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