Risk of Ruin
The probability that a series of losses reduces capital below the level needed to continue.
Formula
Rises with the fraction of capital risked per position, with the loss rate, and falls with the ratio of average win to average loss
Unit
%
In depth
Risk of ruin is the constraint that matters most and is discussed least, because a strategy with positive expectancy still fails if a losing run arrives before the edge asserts itself. It rises sharply with position size: risking 2% per trade makes a run of twenty losses survivable, while risking 20% makes five consecutive losses catastrophic. Long losing runs are far more likely than intuition suggests — at a 45% win rate, a run of eight losses occurs regularly over a few hundred trades. Position sizing is the only lever that controls it, which is why sizing precedes strategy selection in any serious risk framework.
Worked example
Risking 2% per trade, ten consecutive losses leave 0.98 raised to 10 = 81.7% of capital. Risking 20%, the same ten losses leave 0.80 raised to 10 = 10.7% — from which recovery requires a ninefold gain.
Illustrative figures, chosen so the arithmetic is easy to follow. Not a live price and not a valuation of any company.
Educational reference only
This entry explains what “Risk of Ruin” means. It is not investment advice and not a recommendation to buy or sell any security. Any numbers above are illustrative, not live prices, and nothing here predicts price direction or rates a stock. Consider your own circumstances and consult a SEBI-registered investment adviser before acting.