Your bullion piece contains 0.1 oz of gold and sells for about $85-90 as of 02/2009. Its value will change along with the spot price of gold.
Note that the $5 denomination is purely artificial.
The value is $113.65 as I type this. Gold is $1,136.50 per ounce the coin is 1/10th oz of gold. Cash value will be about the spot price of gold at time of sale.
Added: It is a tenth of an ounce as listed above if it a 1986 5 dollar 1/10th oz GOLD EAGLE. There was also a Statue of Liberty 5 dollar coin in 1986 specifically that was ~1/4 oz gold.
The value is about $255.00 for the gold in it.
$100 to $110 at today's gold prices
If you are asking about a "1986 Statue of Liberty 6 coin commemorative set" in a cherrywood box. The set consist of one each of Proof & Uncirculated half dollar, silver dollar, and gold $5 coins. Current average retail value is $900.00.
7-19-11>>> The coin is a 1/10th ounce 1986 American Eagle gold bullion coin with a value today of about $150.00
value of 1845 us five dollar coin
Current value is $109.44
The 5 Dollar American Eagle coin regardless of date is a 1/10th oz Gold Bullion coin and as I type this the value is $108.10 The value of any gold bullion coin follows the spot price of gold.
As of September 1st 2012>>That depends on the denomination:5 dollar gold coin: $1,22010 dollar gold coin: $2,46020 dollar gold coin: $23,080These values will change slightly as the value of gold changes.
Currently $115 but value may vary slightly with the fluctuation the value of gold.
The mint does not make 5 oz gold eagles, they make 5 dollar 1/10oz gold eagles with a value of $117.58 as of today.
depending on condition. $475 - $600
The sets were made in proof and uncirculated versions but the retail values are the same at $300.00 mostly for the $5.00 gold coin.
Please post a new, separate question with the coin's date. Circulating $5 gold pieces were minted for about 140 years, and modern bullion coins with that (artificial) denomination have been sold since 1986.