VS2013 Windows Phone project

[Greg Keogh]

Folks, I have been asked to write a demo Windows Phone app, which I've
never done before, but I'm keen to give it a bash. However, I'm off to a
bad start. VS2013 Update 4 has no New Project template for a phone app. I
have installed all VS2013 features. I can see the Windows Phone SDK v8.0
and v8.1 folders under Program Files(x86). Web searches hint that I should
just be able to select New Project and off I go. What's missing? -- *Greg K*