The US mint never made any such coin. It is a privately made coin. The value will simply depend on what the coin was symbolizing and what a dealer is willing to pay.
Lincoln, Wheat Ear Reverse (Wheat Penny's) cents were struck from 1909 to 1958. A 1888 penny is a Indian Head cent with an average value of $1.00-$3.00 for most coins. NOTE: The wreath on the reverse is Oak not Wheat.
the penny post was invented in 1888
in 1888
The last Liberty head (a/k/a/ "Large") cents were made in 1857. All cents dated 1888 are Indian Head cents. Please see the Related Question for more information.
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A 1888 small cent coin is valued: Good condition-$1.50, Fine condition-$4.00, Uncirculated-$40.00 Proof-$160.00 There is also some 1888 small cent coins that were minted 1888 with the last 8 spamped over a seven and these are more valuable: Very Good condition-$650.00, Fine condition-$1,000.00, Uncirculated-$8,000.00.
This is not enough information to give an accurate value amount. Need to know 'Type' of penny, 'Date' of penny and 'condition' of penny.
The value of an orange one half penny varies by the year of the penny and the condition.
It is worth a penny