Blizzard Outlines Math Behind Currency Conversion

Blizzard posted an informative look at the upcoming PvE/PvP currency changes yesterday, and they've fulfilled their promise of posting the conversion math today. It can get a little confusing, but here's the main idea straight from Nethaera: "Just know that our intent is to appropriately value each mark and provide a conversion we feel is fair."
As a reminder from yesterday's post, the upcoming 4.0 patch will convert Emblems of Triumph and Frost into Justice Points (PvE), and Arena Points, Honor Points, Battleground Marks of Honor, Stone Keeper's Shards, Venture Coins, and Spirit Shards into Honor Points (PvP). All PvE badges below Frost and Triumph will be converted into gold.
According to the math post, your Emblems of Heroism, Valor and Conquest will be converted to 5.5 gold each. Badges of Justice will be turned into 1.833 gold each. I'll leave it to Nethaera to explain exactly how many Justice Points and Honor Points you can expect to have once this change goes live. All the details can be found after the jump.

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From Nethaera's post:

Here's some information on how each of the currencies will be converted in the next content patch. Keep in mind these values may change, and they can get a bit math heavy. Just know that our intent is to appropriately value each mark and provide a conversion we feel is fair.

The following items are immediately converted to gold:

• Emblem of Heroism = 5.5 gold each
• Emblem of Valor = 5.5 gold each
• Emblem of Conquest = 5.5 gold each
• Badge of Justice = 1.833 gold each

Your New Honor Points total will be the sum of the following amounts:

• Old Honor * 0.024
• Old Arena Points * 0.85
• Battleground Mark of Honor * 2.976
• Wintergrasp Mark of Honor * 19.08
• Stone Keeper Shard * 1.6
• Venture Coin * 3
• Spirit Shard * 1

Your Justice Points total will be equal to (Emblems of Triumph + Emblems of Frost ) * 2.75

Again, the softcap for both Honor and Justice conversions is 4000 points. This means that if a character converts to above 4,000 points, it will not be possible for them to earn more until they fall below the 4,000 cap.

A hardcap will be implemented in a following patch before Cataclysm's release. At that time, any excess points above 4,000 will be converted as follows:

• Honor points above 4,000 are converted to gold at a rate of 35 silver per point of Honor.

Justice points above 4,000 are converted to gold at a rate of 2 gold per point of Justice.