The following spreadsheet extends the previous loss rebate theorem Excel spreadsheet (see this post) to include the risk of ruin (ROR):
Loss_Rebate_Theorem_Full_Solution_ROR
I've also added a table giving the house edge and standard deviation for some common games. The ROR percentage assumes continuous reinvestment.
Received his Ph.D. in Mathematics from the University of Arizona in 1983. Eliot has been a Professor of both Mathematics and Computer Science. Eliot retired from academia in 2009. Eliot Jacobson