Adding a discount using product options

Is there any way I can offer my customers a discount on the original product price when they select an option? In my case I want to offer a €5 discount when the customer allows us to print our logo/URL on their product.

I've tried using a negative price on an option, but that doesn't work.

I've thought about this, but this is not how I want to present it to a customer. This way it looks like: I can offer the product for $50, however for $10 I will remove my logo from it. While I want to offer a discount for a gesture they might be willing to choose.

For now I've placed some banners with a discount code the can use during checkout.

However, negative prices for options would be nice as I can then group them with the product.