IPhone says it has an email, but there's no no new email

My iPhone 5 shows the little 1 badge on the email app and when I go into it (I have 4 different emails) it shows my work email via Microsoft Exchange as having 1 new email.

But when I go into it there's no new email to be found?

I do not like having the badges on my email nor my phone telling me I have a new email… I check it a lot during the day for work and I will contently be going into it thinking I have a new email and there be nothing.

Anyone had this issue before and how do I remedy this issue?

Added (1). I have tried restarting the device and still nothing.
My last option is to remove my email and add it back (it's work so it's not easy to get back on the phone again).

Perhaps you need to reset your device

Turn your phone off and back on to see if the notification will be removed or the email will show up.