You should say your name when you answer the phone at work. On the flip side, my old office doesn't have direct lines, so I think it's dumb (and sounds junior) when my boss answers, "[organization], this is [first name]."
My office
does
have direct lines, so I
should
be saying, "[organization], this is [first name]," right?
You could, or assuming that most people are trying to call you, you could just say your name. I prefer [full name], myself, but I think that's kind of a remnant from really working my way up from the bottom of the org chart, so trying to seem extra professional when I got a more professional job.
My boss has a direct line, but she is a professor/department director, so even saying "This is Professor Smith" would help.
I say the [organization], this is {first name].
At one point we changed our name to Edvantage (instead of Center for Lifelong Learning). We have a local credit union named "Advantage". That was very confusing to callers.
Also, "This is Jesse" is too many esses, so I just say "Jesse Lastname."
I answer with my full name. Everyone who called me on purpose knows what company it is, and I'd never remember to check if it was internal or external calling.
I cover myself by answering any and all phones, including my own personal cell and my mother's phone, "[Agency], this is Aimee."
And then people laugh at me.
I'm so used to it that if a phone rings
on the television
I say, in my head, "[Agency], this is Aimee."
While at work, I check the caller ID - if it's work-related or I don't recognize the caller, I say "Tom here." If it's a friend, I just say something like "Hello?" or "Penguin?"
( whatever ) library Beth speaking. At the main library it is Children's room Beth Speaking
Sometimes I say the wrong library. But it still gets the basic point off
When I answer the phone at home, I have to hesitate so I don't go into the standard tech line greeting script. And when I've called someone and am hanging up, I have to keep myself from saying "Thanks for calling."