How to End a Business E-mail
There is a fairly strict and standard way to end a business letter but when it comes to closing an e-mail, things are a little different. It's unusual to end a business e-mail with "Yours faithfully" or "Yours truly". Unusual but not wrong - it's just that somehow they seem too formal and inappropriate.
If you want a reply from the person you are writing to, then the best and most universally acceptable sentences to use are either, "I look forward to hearing from you soon", or "I hope to hear back from you within the next few days". You can easily exchange "I" for "We".
But a word of warning, don't alter this wording. Don't be tempted to write something like, "I am hoping to hear back from you very soon." That is wrong, grammatically and in a business sense.
"I am looking forward to hearing from you soon," or "we are looking forward to your quick reply." are also wrong.
Once you have written that sentence, it is easy to ruin the whole effect of the e-mail by using the wrong closing words. Choose them carefully. So for example, if it's an e-mail to a colleague you communicate with regularly and you are on first name terms, then after a sentence such as "I hope to hear from you in the next few days", all you have to write is your name.
On the other hand, if you are writing to a client or colleague who you don't know well, then I would recommend that you also include a line such as "Best regards" or "With best wishes". And when you don't know the person, my advice is to write your first and surname at the very end.