How to build against the windows 8.1 SDK

My setup is the following:

Windows 8.1, Microsoft Visual Studio 2012

I wish to build against the Windows 8.1 SDK. My application is c++, no windows runtime components or anything like that.

I have the windows 8.1 SDK installed but Visual Studio is building against the Windows 7 SDK, so to switch targets I modify my registry keys which point to the current SDK version:

HKEY_LOCAL_MACHINE\SOFTWARE\Microsoft\Microsoft SDKs\Windows

However when I check the macros in Visual Studio it is now building against windows SDK 8.0 instead of 8.1.

Can anyone explain why this is happening? I have not been able to build against the windows 8.1 SDK with my setup, is it just not possible using Visual Studio 2012? I cannot find any conclusive information to tell me if it is supported or not.