2. Is it snowing in the UK? (g) Not right now. [Use the present continuous for things that are/aren’t happening now.] 3. Do you work here? (b) Yes, I’m the managing director. [Use the present ...

We can use the present continuous to talk about the future when we have already arranged to do something. It's definite, not just an idea. Perhaps we have put the arrangement in our diaries.