The positive relationship between bank CEO compensation and risk-taking is a well-established empirical fact. The global banking crisis has resulted in a chorus of demands to control bankers' bonuses and thereby curtail their risk-taking activities in the hope that the world can avoid a repeat in the future. However, the positive relationship is not a causative one. In this paper we argue that an implicit too-big-to-fail policy provides the incentive for banks to take excessive risks and design compensation packages to deliver high returns. A credible no-bailout policy will have a better chance of curbing excess risk-taking than controlling bankers' compensation.