I have handed in my notice and will be leaving my current full time job in a month. However I have 1 week holiday which my current employer will pay me for. My employer tells me that my "last working day" will therefore be one week before my "last employment day". I want to start a new full time role directly after my "last working day" and therefore before my "last employment day". My current employer tells me that this is OK (and they're a large company so I believe them, to some degree).
I wanted to know whether this would be OK from an employment perspective? I assume this will mean that I am employed by both companies for a week?
And also, will this mean that I will end up getting emergency taxed for that month?