In a general way, stock and bond prices do not display any significant
correlation. Yet, if we concentrate our attention on specific episodes marked
by a crash followed by a rebound, then we observe that stock prices have a
strong connection with interest rates on the one hand, and with bond yield
spreads on the other hand. That second relationship is particularly stable in
the course of time having been observed for over 140 years. Throughout the
paper we use a quasi-experimental approach. By observing how markets respond to
well-defined exogenous shocks (such as the shock of September 11, 2001) we are
able to determine how investors organize their ``flight to safety'': which safe
haven they select, how long their collective panic lasts, and so on. As
rebounds come to an end the correlation of stock and bond prices fades away, a
clear sign that the collective behavior of investors loses some of its
coherence; this observation can be used as an objective criterion for assessing
the end of a market rebound. Based on the behavior of investors, we introduce a
distinction between ``genuine stock market rallies'', as opposed to spurious
rallies such as those brought about by the buyback programs implemented by
large companies. The paper ends with a discussion of testable predictions.Comment: 19 pages, 8 figures, 3 tables. To appear in "Physica A