Trader gem selling bonus

The Trader bonus is used to increase the coin gained from when the Trader personally sells gems or skins, whether individually or in open, closed, or tied gem pouches. This bonus is based upon a Trader's Charisma, as well as their Trading and Appraisal skill.

Some may unlock this ability around 12th circle, but for others it may be later, depending on how they train (generally requires 20 Charisma prior to 20th Circle.) At 20th circle you can sell pouches regardless of Charisma.

Overview

1. When a Player Character attempts to sell a gem or skin to an NPC buyer, the base appraisal value seen with Appraisal is the starting base value of the item.

2. This is then modified by the player's Trading bonus. Non-Traders have a 0% Trading bonus. Traders have an inherent bonus that raises their base setting higher than 0%.

3. This is then further modified by +/- 10% in discrete 1% increments (accurate to at least 2 decimal places, such as 122.00xxxx%), easily confirmable with single gems/hides, or tied gem pouches. (In untied gem pouches, EACH gem gets a separate offer, so the % bonus is not a clean discreet percentage. But it can be useful for making a rough guess to a Trader's bonus with little work of finding the precise bonus level, particularly if the gems are of fairly uniform value, as an untied gem pouch is 70 offerings rolled into one.

For an example, presume a hypothetical tied gem pouch worth precisely 100,000 kronar (10 plat kronar) when appraised certainly and exactly. When a non-Trader has an NPC gembuyer make an offer on it, they will see a range from 90-110% of the appraisal, that is, offers from 90000 to 110000 kronar, in increments of 1000 kronar (9 plat, 9.1 plat, etc., up to 11 plat).

According to the table of data below, a Trader with 60 Charisma, 394 Trading, and 331 Appraisal has a bonus of 40%, and a bonus of 50% when under the effects of Speculate Finesse bonus. This Trader, with the same pouch, would see offers ranging from 13 to 15 plat in 1000 kronar increments (30% to 50%). If that Trader uses Spec Finesse when selling, the offers can range from 14 plat to as high as 16 plat. (+/- 10% from a 50% base)

NPC buyers also subject a flat cap of 60% to selling. Anecdotal evidence appears that Traders with skill beyond this can hit the cap more often, but it is unknown how it works precisely.

Formula

The formula for the Trader bonus for selling is known to be a complicated function, the exact formula of which has not been determined.

What is known is that it is a piecewise function of some sort (that is, the formula changes across the range of variables), making it difficult to pin down a precise formula.

To that end though, a table follows containing data collected by the player of Naniaki over several years. Plus more characters of his, plus help from Navesi and hopefully others.

The formula is (Trading+Appraisal)*Charisma = X. X is to be compared to the following equations or table to see where your bonus is.

When using Speculate Finesse, you must first use your modified Charisma in the above formula, and then add (Circle/10), rounded down, directly to the bonus determined below.

The range seems broken up into 3 parts.

First, for X =< 2100; Bonus Y = (X/210), rounded down. This goes on to 10%.

Second, for X > 2100; Bonus Y = (X/350)+1, rounded down. You drop from 10% to 7% when stepping from the previous formula to this one. This goes on until at least 20%, probably 25%. This is a guess, but a pretty sure guess.

The third part is estimated to be at X > 8400, with the formula being Y = ((X-250)/2200)+21. This is a more inaccurate guess, but it SEEMS to explain all known data. Conflicting information desired.

Gem pouches can start to be sold at X = 2100. Or basically 20 Charisma and a total of 105 ranks between Trading and Appraisal.

Example

Assume a 40th Trader of 40 Charisma, 200 Trading and 160 Appraisal. This would be an X of 40*(200+160), or 14,440. Plug 14,440 into the step function of ((14,440-250)/2200)+21, and get 6.43+21, or 27% when rounded down.

If using Spec Finesse, let's hypothesize the modified Charisma is 40+8, so it would be 48*(200+160), or 17,280. The results of the step function would be 7.74+21, or 28% when rounded down. However, the Trader adds 4% directly to the bonus for being 40th Circle, and so the final bonus is 32%.

Tables

• The first Table includes all information. That includes backtracking from Spec Finesse values higher than 50%, which might include some error.

• The second table does not data worked back from Speculate Finesse values higher than 50%.

Error (Min-previous Max)	Known Minimum Points	Known Maximum Points	Bonus
		200	0
10	210	410	1
10	420	620	2
10	630	830	3
10	840	1040	4
20	1060	1240	5
20	1260	1400	6
70	1470	1470	7
			8
			9
			10
			11
			12
			13
			14
			15
			16
			17
			18
			19
			20
			21
			22
			23
			24
	9520	10444	25
402	10846	12789	26
2239	15028	15028	27
34	15062	17238	28
68	17306	19448	29
34	19482	21201	30
573	21774	23493	31
573	24066	25785	32
573	26358	28077	33
285	28362	30369	34
573	30942	32355	35
495	32850	34440	36
615	35055	36223	37
977	37200	39300	38
60	39360	41520	39
240	41760	43500	40
555	44055	45780	41
233	46013	48060	42
900	48960	50160	43
800	50960	51940	44
980	52920	53760	45
1120	54880	56840	46
400	57240	58800	47
480	59280	60600	48
1020	61620	62975	49
865	63840		50

Error (Min-previous Max)	Known Minimum Points	Known Maximum Points	Bonus
		200	0
10	210	410	1
10	420	620	2
10	630	830	3
10	840	1040	4
20	1060	1240	5
20	1260	1400	6
70	1470	1470	7
			8
			9
			10
			11
			12
			13
			14
			15
			16
			17
			18
			19
			20
			21
			22
			23
			24
	9520	10444	25
402	10846	12789	26
2239	15028	15028	27
34	15062	17238	28
68	17306	19448	29
34	19482	21201	30
573	21774	23493	31
573	24066	25785	32
573	26358	28077	33
285	28362	30369	34
573	30942	32355	35
495	32850	34440	36
615	35055	36223	37
977	37200	39300	38
60	39360	41520	39
240	41760	43500	40
555	44055	45780	41
233	46013	48060	42
900	48960	50160	43
800	50960	51940	44
1820	53760	53760	45
			46
	57240	58800	47
480	59280	60600	48
1020	61620	62975	49
865	63840		50

Old Raw Data

• Trading Bonus Values 50% and higher are truncated to 50% due to no practical way to determine when one hits a new bonus percentage beyond 50% (barring impractical statistical analysis).

• Bolded values are where it is known that the Trader bonus rolled over to the next highest value at that exact stat/rank increase.

Date	Spec Finesse Bonus	Bonus	Circle	Charisma	Trading	Appraisal
		27	43	34	224	218
		28	43	34	224	219
		28	43	34	238	269
		29	43	34	238	271
		29	43	34	280	272
		29	43	34	296	273
		29	43	34	299	273
		30	43	34	300	273
		30	56	37	300	273
		31	56	38	300	273
		31	56	41	300	273
		32	56	42	300	273
		32	56	45	300	273
		33	56	46	300	273
		33	56	49	300	273
		34	56	50	300	273
		34	56	53	300	273
		35	56	54	300	273
		35	60	54	320	278
		36	60	55	320	278
		36	61	56	326	289
		37	61	57	326	289
		37	61	60	329	290
		38	61	60	329	291
		38	61	60	329	290
	45	38	61	60	332	293
	46	38	61	60	336	295
	46	38	63	60	347	308
	46	39	63	60	347	309
	46	39	63	60	350	312
	47	39	63	60	353	313
	47	39	67	60	369	323
02/21/11	48	40	67	60	371	325
03/08/11	49	40	70	60	384	328
03/24/11	50	40	71	60	394	331
05/12/11	50	41	75	60	418	345
06/24/11	50	42	78	60	436	365
07/05/11	50	43	79	60	443	373
07/14/11	50	43	79	60	447	378
07/26/11	50	43	80	60	450	386
11/23/11	50	45	84	60	482	414
12/30/11	50	47	90	60	520	434
01/26/12	50	47	90	60	535	445
02/10/12	50	48	90	60	540	448
02/20/12	50	48	90	60	548	453
03/10/12	50	48	95	60	555	455
03/31/12	50	49	96	60	568	459
04/15/12	50	50	98	60	581	483