Not that the California lottery offers a lump sum option anymore, but in case anyone else’s state does, I offer herewith my own personal calculation of the relative benefits of taking the lump sum vs. the annuity:
Q = odds I will quit my job if I win
S = odds I will squander as much of the money as I get, as soon as I get it
Y = number of years I will be given money to squander
A = amount of money I will be given each year
R = remainder left over at the end of each year
The equation is thus:
(Q x (Y x A)) - (S x A) = R
If we assume my chance of quitting my job is 100%, or 1, then taking the lump sum, the calculation is as follows:
(1 x (1 x Lump Sum)) - (1 x Lump Sum) = 0
That is, if I quit my job, I get the entire lump sum and proceed to squander it.
Curiously, if I take the annual payments, my calculation for each year is quite similar:
(1 x (1 x Annual Payment)) - (1 x Annual Payment) = 0
So I’m still left with nothing at the end … of each of 26 years, rather than each of 1 year.
Therefore, I’m going with the annual payment scheme. Gives me that much less to squander annually and that much more to squander in each of the other 25 years!
Seriously, though, there’s ample evidence of people getting sudden windfalls and proceeding to go broke. The movie Lucky I believe profiled some, and so does this article. If you already know you’re a spendthrift (I am) and a sucker for a good cause (I am) then there’s every reason to expect you’ll blow through your lottery riches at breathtaking speed.
So if you’re like me … take the annuity.