Small price thoughtfully offered? (5)

I believe the answer is:
penny
'small price' is the definition.
The definition and answer can be both related to property as well as being singular nouns.
Maybe there's an association between them I don't understand?
I cannot understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for penny that I've seen before include "one might drop" , "Smallest UK coin" , "British coin" , "Copper coin" , "Coin spent by the desperate?" .)
