Financial economics/Tutorials: Difference between revisions
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::::r = ''r''<sub>f </sub>+ β(''r''<sub>m </sub>- ''r''<sub>f</sub>) | |||
==Gambler's ruin== | ==Gambler's ruin== | ||
Revision as of 11:33, 29 February 2008
- r = rf + β(rm - rf)
Gambler's ruin
If q is the risk of losing one throw in a win-or-lose winner-takes-all game in which an amount c is repeatedly staked, and k is the amount with which the gambler starts, then the risk, r, of losing it all is given by:
- r = (q/p)(k/c)
where p = (1 - q), and q ≠ 1/2
(for a fuller exposition, see Miller & Starr Executive Decisions and Operations Research Chapter 12, Prentice Hall 1960)