The Setup:
You are presented with a magic lottery suicide machine by the deity of your choice upon turning 21. The machine works thusly: There is a large lever attached to the side of this otherwise unremarkable grey box. You (the machine only works for you) may pull the lever at any time but may only pull it once. Once pulled the box ceases functioning and is for all intents and purposes a paper weight with an interesting history. There are only two results which can come from pulling the lever. Instantaneous death for the puller or one billion dollars tax free. The box cannot be given away, stolen, lost, nor tampered with in any way. The box is yours from the day you turn 21 to the day you die. Assume, for purposes of this thought experiment, that you are the only person in the world to own such a box (thus precluding the possibility of many people becoming rich and devaluing the dollar). Also assume that you are perfectly healthy and expect a long life (though, of course, accidents and such are still possible). The box determines whether a pull causes the users death or enrichment based on the amount of time the box is owned prior to the first (and only ) pull. For every two years that the box is held without pulling the lever the odds that you will receive the billion dollars increase by 1. For example, if you were to pull the lever within the first 2 years you would have a 100% chance of dying. If you pulled the lever between 2 years and 1 day and 4 years you would have a 50% chance of dying and a 50% chance of receiving the billion dollars. At 4 years and one day it would be a 1 in 3 chance of dying. 6 years and one day would be a 25% chance of dying, 75% chance of getting the billion etc. etc. The box has one other property to it. If you pull and win the billion dollars then when you eventually die at some later point (car crash, homicide, whatever .i.e. a non box death), you may not pass any of the billion dollars (if any of it still remains) in any form (cash, goods, services, etc.) to any beneficiaries.
The question:
When do you pull the lever?