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The phrase "a small premium" is correct and usable in written English.
It can be used when referring to an additional cost or fee that is relatively minor compared to the main price of a product or service.
Example: "To access the premium features of the software, you will need to pay a small premium on top of the standard subscription fee."
Alternatives: "a minor fee" or "a slight surcharge".
Exact(60)
"In such a way they don't mind paying a small premium for a better experience".
People might be willing to pay a small premium for real food.
Each offer represents a small premium to the Monday closing prices.
Over a year it has returned 32% and has a small premium of 2.2%.
As prices stood in the final week, BNP's hostile offers represented a small premium over the other options.
In the academic literature, some researchers focusing on salaries have found a small premium for state and local workers.
Medicare also requires a small premium, which virtually every eligible person pays, for services other than hospital stays.
Before the housing crisis, Fannie and Freddie could borrow money at a small premium over the federal government's rates.
A small premium for greater services or benefits is a powerful defense, as Target and Walgreens have shown.
They have since recovered and are now trading at a small premium to their initial $72 sale price.
There has always been a small premium for new-build; people will pay extra for spanking-new kitchens and bathrooms.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com