There are two different sets of coins released by the US Mint every year.
The uncirculated coin set contains one coin of each denomination from the Philadelphia mint and Denver mint. These are called P-D sets. This set will have twice the number of coins as the proof set for the same year. For 1999, the uncirculated coin set has 18 coins total and is worth $23.00 according to numismedia.com.
The proof set for 1999 contains 9 coins and is worth $55.00.
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The 1999 Uncirculated Mint set has 18 coins in it but no silver coins. Retail value $14.00 The 1999s Silver Proof set has 9 coins in it. The half, quarters and dime are 90% silver. retail value $288.00
If your proof set has 9 coins it is worth $15. If it has 5 state quarters it is worth $9. If it is a regular silver proof set it is worth $144.
....25 cents. It is not a proof, not a rare date and even in uncirculated condition it is only worth face value unless in a mint set.
July 16, 2009 In 1999, there were no $20 double eagle gold coins were produced by the US Mint. You may be refering to the American Gold Eagle coin. They were minted in $5, $10, $25 qnd $50 denominations. They were also minted in an Uncirculated coin and a Proof coin. If what you have is the $25 American Gold Eagle, then the Uncirculated coin is valued from $480 to $570 depending upon the condition of the coin. The Proof coin is valued from $625 to $750 depending upon the condition of the coin.
Proof coins are always worth more than the circulating coins they resemble. Mint collector coins are different than circulating coins and need to be valued differently. Mint coins can come with several various types of surfacing, proof being one, bullion, burnished and brilliant uncirculated the others. The $50 gold coin has no circulating counterpart. It does have a similar brilliant uncirculated counterpart however. While ordinarily proof coins are more valuable than similar brilliant uncirculated coins this is not always the case. The lower amounts of brilliant uncirculated coins minted can cause these to become more valuable than the proof variety for the same year. 1986 had a relatively low minting of brilliant uncirculated collector mint coins and they are, for this and a few other years only, more valuable than the proof varieties. As is always the case with collectible coins, condition affects value. Hence any collectible coin needs an accurate assessment of condition before a specific value can be assigned. Values for these type collector coins are represented in "The Red Book" a semiannually published book listing US coin values.