Since the early 1980s, the San Francisco mint has struck only proof versions of normal circulation coins. Your nickel was part of a sealed proof-set package that someone opened. That can happen due to theft or ignorance, among the most common reasons. The bad news is that a proof coin that has been in circulation loses any premium that it had as an untouched proof, so I'm afraid you have a very well-struck coin worth 5 cents.
5 dollars
5 cents. Not an unusual coin.
No Nickels were struck in silver after 1945, the value is 5 cents.
Its face value is 5 cents, but the melt value of a 1955-1981 Canadian nickel is $0.09 so the melt value is 4 cents more than the face value of the coin5 cents. It's not rare, and many are still in circulation.
50 cents, they are made of copper nickel and found commonly in circulation. They carry no extra premium beyond face value.
Realistically, five cents. It's too common and recent a date to be worth more.
the value of the nickel is 5 cent
More than ONE BILLION 1981 nickels were issued for circulation. None plated with copper by the Mint. It's a novelty coin of some kind that has no numismatic collectible value. It's just a nickel.
It's a 2004 Jefferson nickel that has been gold plated, has no collectible value and is just a fancy nickel.
All circulation 1971 and later halves are made of copper-nickel, not silver, so they have no added value if you found it in change. A nice uncirculated 1981-P half might bring $1 to $8 depending on quality. A 1981-D would be $1 to $12.
It's a 2004 Jefferson nickel that has been gold plated, has no collectible value and is just a fancy nickel.
To clear things up, the "lady" is Miss Liberty, and "V" is of course the Roman numeral for 5.However, the last Liberty Head nickels were struck for circulation in 1912 so your coin can't be dated 1981. If you meant 1891, please see the question "What is the value of an 1891 US nickel?" for more details.