What should I pick from Chest of Loyalty?
Solution 1:
I'll go through each option.
Grand Chest of Experience - contains 6 tomes of knowledge, which gives you 6 levels. It's up to you, of course, but I see this as a waste. Leveling up isn't hard, and 6 levels is easy to get. Not recommended
Chest of Plentiful Laurels - this is the option I went with for a long time, because you could spend the laurels on T6 crafting bags and get 60x T6 mats out of it. T6 mats have taken a hit with HoT coming out(some of them dropping by more than 80% of their previous value). So it's hard to say if this is justified. However, if you intend to get a GW2 original legendary, then T6 mats are always welcome since you need thousands of them for the Gift of Fortune. Also, there are a lot of vanity items that require laurels, and you can get ascended trinkets with laurels - both of which are up to you if you want them.
Chest of Legendary Crafting Materials - Contains 8 obsidian shards and 7 mystic clovers. If you want an original GW2 legendary, this is a pretty big chunk of Mystic Clovers.
Chest of Ascended Crafting Materials - Contains 1 Vision Crystal and 1-2 of the following: Bolt of Damask, Deldrimor Steel Ingot, Elonian Leather Square, Spiritwood Plank. If you're looking for the highest return on gold, this is probably your best option. Damask is ~14g, Deldrimor Steel Ingot is ~6g, Elonian Leather ~7.5g(and rising), Spiritwood is ~8g. If you want ascended armor or weapons, this should be your goto.
So the bottom three are decent choices. Avoid the experience for sure. The ascended mats have the highest gold return, the legendary mats give you 7 mystic clovers and save a good chunk of money, and laurels can help you get to a Gift of Fortune faster, as well as other laurel goodies.
Solution 2:
Note: Due to changes introduced with the release of Heart of Thorns, the in-game economy will be unstable for a while and this answer is likely to change.
It depends on your needs / current goal
The choices you have are as follows:
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A Vision Crystal and 1-2 of an ascended crafting material.
Crafting a Vision Crystal yourself costs 20 spirit shards, 30 Obsidian Shards, and 2g26s for Thermocatalytic Reagent.
As for the other mats, with some luck, you'll get Damask (worth 14g), but Deldrimor Steel (6g) is also possible. Assuming the chances of getting 1 or 2 are 50-50 and all mats are equally likely to drop, and using the current TP prices, this is worth 11g30s on average (after deduction of TP taxes).
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8 Obsidian Shards and 7 Mystic Clovers
The former is easily obtained by farming the Silverwastes. The latter are required for the Gift of Fortune, which is necessary for crafting Legendary Weapons.
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20 Laurels
Laurels are quite useful. Not only can you currently only get them via login rewards and achievement point rewards, you can use them to buy Ascended trinkets such as Rings and Amulets (Accessories are easier bought with Guild Commendations), as well as other stuff at Laurel Merchants. This includes Heavy Crafting Bags for 1 Laurel apiece, which contain valuable T6 fine materials currently worth 74s per bag, on average, totalling 14g80s.
6 Tome of Knowledge
These are abundant in PvP, and you got 10 of them through login rewards already. Unless you really need a new character boosted to 80 quickly, there are better options.
To conclude, Ascended Crafting Mats are a good choice if you are currently crafting ascended items, Legendary Crafting Mats are a good source for the mystic clovers. Laurels used to be the definite go-to material a while ago, but prices for T6 have dropped. They are still worth it if all you care about is getting your hands on your fellow players' money.