Will my ink fade if I store it on my desk *out* of the cardboard box?

I want to keep my inks not in my drawer, but on my desk. I usually use Private Reserve, and the ink looks much better when it's out of the white cardboard box. But this then exposes it to light. There is no direct sunlight, but there is flourscent light. The Private Reserve ink bottles are clear glass.

Do I need to be concerned with ink fading over a long period of time?