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EV = Probability X Payout = (1/(4.29 X 10^9)) X (5 X 10^8) = 0.11 cents per bet.

  Assuming equivalence of payments and probability FTA.
EV cost with 10^7 possible entries: (1/(4.29 X 10^9)) X (5 X 10^8) X (10^7) = $1.1m

  Ignoring secondary prizes and solvency costs.
I read some more details about the insurance policy here: http://www.latimes.com/business/la-fi-buffett-basketball-bet...

> Miller, the Duke professor, came up with his 1-in-1-billion probability through an equation that placed games into categories ranging from close games that could go either way to near locks. Based on his finding, Buffett would need to charge a premium of about $10 million to break even against his expected results, Miller said.

> "If I were Warren Buffett, anything over $10 million, I would probably do it," Miller said. "If $1 billion were going to ruin me, I wouldn't. But it's not going to ruin Warren Buffett."

> Buffett said his company is big enough to survive such a hit. "We've lost more money in a given event before," Buffett said. "Hurricane Katrina probably cost us $3 billion. "We will put more at risk in a given insurance transaction than anyone in the world. But we have more capital than anyone in the world."

> Berkshire Hathaway investors can take comfort in some news Buffett disclosed Tuesday. He said he would probably strike a deal — at significantly less than $1 billion — with anyone who gets deep into the tournament without missing a game.

> "If you get to the Final Four with a perfect bracket, I may buy you out of your position," Buffett said. "I'll make you an offer you can't refuse."

Buffett appears to be channelling Vito Corleone in that last statement right there: http://www.youtube.com/watch?v=SeldwfOwuL8

So assuming the new 1 in a 10^9 chance figure, we get:

EV cost: (1/(10^9)) X (5 X 10^8) X (10^7) = $5m

Now the previous time Buffett made this kind of a bet was here: http://en.wikipedia.org/wiki/Pepsi_Billion_Dollar_Sweepstake...

That had an EV cost of ~$1m as well (http://www.bloomberg.com/news/2014-01-21/buffett-makes-milli...), and he got paid a ~$10m premium from Pepsi for that risk.

So I'm guessing the same is true in this case. That is a 10x EV cost premium, with a range of ~$10m-$50m. I highly doubt that Quicken is willing to pay so much, so it'll be biased towards the lower end of the range. At the end of the day this is essentially a ~$10m-20m advertising project which uses free distribution through news/blogs/PR releases/forums/TV/radio/word of mouth/mind share, in addition to getting access to private consumer data when people sign up for the competition (email/address/name/age/etc).

Hopefully Quicken will have more luck and consumer buy in than Pepsi had in 2003 (http://www.psychologytoday.com/blog/the-decision-tree/201306...). I doubt it though. The more likely outcome here is that Buffett made himself a cool ~$10m-20m in one day for doing very little work, since he doesn't pay for any of the operational costs of the competition.

> Jay Farner, Quicken's president and marketing chief, said his company would benefit from the contest in two ways — news coverage and access to the email addresses of millions of potential customers. Anyone who enters the contest will have the option of receiving email offers from Quicken, he said.

Source: http://www.latimes.com/business/la-fi-buffett-basketball-bet...



>Brackets will be made available on Selection Sunday, March 16, 2014, and will initially be limited to 10 million entrants, but only one per household.

Expected loss by Buffet, assuming all 10 million brackets are different:

5x10^8 x 10,000,000/4,294,967,296 = 5x10^8 x 0.0023 = $1,164,153.22

He can make this up by offering a lunch [1]

[1] http://gawker.com/5917080/the-cost-of-private-lunch-with-war...

edit: whoops looks like Confluence updated his post with this number too. :)


The payout is $500m though, plus false advertising.


The payout is $25 million over 40 years = $1 billion. If you would prefer a lump sum, then you get less, because $25 million forty years from now will not be worth as much as it is now (assuming positive inflation). This is pretty standard.


The point being, they never need $1 billion to pay out either version of the prize. Hence, the prize is NOT worth $1 billion. If you take the 40 year version and claim $25 million each year, the remainder of the cash could be invested such that it will cover all the payouts eventually. You need far less than a $1 billion investment to do this.


It's standard BS. Waiting 40 years has negative value – approximately half a billion dollars worth of negative value.


Probability is 1/2^63 (each match eliminates 1 team, 63 matches to leave one champ). Or 1/(9.22 x 10^18)


This would only be true if every game was an exact 50-50 toss up and the games were not dependent on each other. In reality, many of the matches are skewed to one side or the other (some heavily so) and certain teams have strengths and weaknesses that work better and worse against various other teams.


They can probably get it insured for $2m, then.


What's the point? If Buffet wins, no need to pay insurance premiums. If he loses, his insurance would cover 0.2% of his loss.


The idea is you pay $2m, and if you lose, the insurance covers the $1B (or $500m if in one lump sum)


Thank you. I was really misunderstanding that. Late night comments...


Buffet pays the $2M premium, and the insurance company will pay out the $1B in case of a winning outcome. Otherwise how is it even insurance?


Buffet (or rather, Berkshire Hathaway) IS the insurance. Quicken is paying the premium to one of Buffet's insurance companies.




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