Shareholder Benefits

Stockmarket benefits are received by buying a certain amount of shares of a stock. They are instantly active, but may take some time to pay out.
Below you will find a list of stock benefits and aproximate times.

• You can only gain one benefit in each stock.

• Splitting and Stacking:
  You can split a stock at any time, but if you split it lower than the required amount, it will lose the benefit.
• Stacking any stock will reset the buy price and date. You do not lose benefits by stacking, once the benefit is active.
• Random Dividends:
  These pay out, on average, 20% of the stock’s value each year. This is completely random though, you have a 1 in 2,160 (number of hours in three months) chance of getting the dividend every hour. This means you could get 24 in a day, or none, ever.
• Constant/ Non-Constant Effects:
  If it’s a ‘Constant’ effect, it is always, and automatically, active as long as you have the required amount of shares. Anything not marked with ‘Constant Effect’ on the list below happens randomly, as described above.

Thanks to cappucino [461831] for this section:

Payout Analysis (for random dividend and item payouts)

We know two things for sure (confirmed by Chedburn in this thread https://www.torn.com/forums.php?forumID=2&ID=8631130 ).

1: The benefits are completely random.
2: The probability 1:4320 is significant.

Now for some guessing:

Chedburn told us 1:4320 was the probability each hour to recieve a dividend with monthly payout. Now JimmyJames pointed out that that gives on average 1 payout in 180 days, so I assume Chedburn did a mistake and forgot the multiplier for dividends that I assume is 6 because 6 months is ~180 days (6 months of 30 days). For dividends that give out items on a (claimed) weekly basis I have assumed 4 weeks for each month giving the multiplier 24 (4*6).

This gives a 1:720 probability to receive a dividend for a certain stock each hour, or a 1:180 probability of receiving an item from other specials.

The binomial distribution then gives you the odds of getting any specified number of benefits over a set period.

For dividends it will look like this after 180 days:

0 dividend received:_____________0.2%
1 dividend received:_____________1.5%
2 dividends received:____________4.5%
3 dividends received:____________8.9%
4 dividends received:____________13.4%
5 dividends received:____________16.1%
6 dividends received:____________16.1%
7 dividends received:____________13.8%
8 dividends received:____________10.3%
9 dividends received:____________6.9%
10 dividends received:___________4.1%
More than 10 dividends received:___4.3%

And for items it will look like this:

Less than 10 items received :____0.1%
11-15 items received:__________3.3%
16-20 items received:__________20.8%
21-25 items received:__________39.0%
26-30 items received:__________27.3%
31-35 items received:__________8.2%
36-40 items received:__________1.2%
More than 40 items received:_____Less than 1%

I used the period 180 days because that is apparently what Chedburn use for those 6 months periods he is talking about. (Also worth noting that 180*24=4320 again) You do not lose your benefits after this time, they last for ever as long as you do not sell you shares.

Also it does not matter at all whether your benefit have given you 0 or 50 payments the last week. It is totally random each hour.

I have no reason to think that any of this is changed after the stock marked update.