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(risk of) Rare events

See fat tails, numeracy bias,
memory, small numbers,

scenario, extreme, peso
problem anomaly

Damocles sword? Or exclusive bonanza?

About rare events, do not dream too much about the nice ones,

And do not exclude the dangerous ones from your nightmares!


They happen only when they occur
(Pierre Dac, a French humorist)

A popular allegory for extremely rare "singularities" is "the 100 year storm".

In statistics and probabilities , rare events (aka black swans):

Are usually not visible in short historical series, which

can make most people believe ...that they will never happen.

Apart some anecdotal minor ones, are usually 

excessive in their scope and effects (for example Himalayan or
abyssal market prices),

Average-sized events or beings are rarely ...rare, except in
populations made of only dwarfs or giants.

But already occurred once or a few times
   in the past,

And/or are practically certain to occur one day, and maybe more
than the "normal law" of distribution (see distribution)


Is it important?

Rare disasters are disasters anyway. Big ones sometimes!

Nobody will consider rare / singular events a problem...
when they are nice events.

But some of them might be real disasters.

Rare events, and among them the most exceptional ones, are an important

In "dynamical systems" (see that phrase), they are common, notably in
Mother Nature and in human societies.Here, rare events tend to strike
more often than common distribution laws predict

Those strange occurence:

Either cannot be predicted at all, except as fantasies (might white
be also black swans?).

=> Some creative thinking is needed to make "improbable but
      possible" future scenarios.

Or can be predicted via long time statistics, but some cognitive factors
them usually overlooked and underestimated (see "extreme"
     and "fat tails")
or (less often) exaggerated.

If most people think that according to the "normal law",
a specific disaster can take place once in a billion years,
but if actually it has a good chance to occur
in the next five years,
we have a problem!

Not to include them in prediction models and in strategic planning, make
that worst case scenarios, plan B and other precautions against contingencies
swept under the carpet.

Economics and finance are among the human activities that can be

affected by such episodic phenomena.

Some crucial cases

Better be ready for worst case scenarios!

It does not mean you cannot settle on a volcano to grow beans on
its fertile lava,

But be aware of the danger, decide if it is worth the risk, and
for contingencies!

To anticipate rare events (including some that never happened but seem
possible in extreme scenarios) and simulate them to be ready, is crucial in
various fields
of activities.

This is the case for example for airplane crashes, oil tanker catastrophic spills,

Emergency plans must be ready in advance whatever the rare

The economy, as well as finance, had their share of rare events all
along their history, and they can be disastrous:

Financial markets offer a well-known example:
crashes .

They are far from being unpredictable, even if you cannot know the

However rare they are, nobody can say that the last one was, well,
...the last one.

But when an uptrend persists for a while a common belief that a crash
cannothappen grows and spreads.

This is because

* Many people get accustomed to (or envious of) its benefits

* Market guru get accustomed to the efficient market dogma that

considers that market prices are based on fair values.

The economy also is prone to some unanticipated crises.

The possibility of "systemic" (= generalized to all institutions

and players) economic or financial catastrophes should be kept
in mind.

One cause could be a sudden liquidity squeeze
(see that phrase).

The rare events trap #1: too short statistics

Faraway numbers

Rare events can be more frequent than recent measures show, and than

Less rare than rare?

In various human and social areas, rare events are not that "rare".

In statistical distributions (if the sample is big enough and covers enough
, they can be seen :

* under the shape of "fat tails"

* as well as extremely "long tails" (see those phrases).

Some economist consider that present social evolutions favor some "law
of extremes"
(see extreme).

In other words there is a tendency to extreme economic discrepancies,
although they might be only transient phenomena in the general evolution.

Observers might not see those transient / rare (or more decisive) phenomena
short time data series on stock price volatility for example.

Therefore to rely only on recent data can entail:

False conclusions about the real risks (for investors in the
   above example).

An omission to integrate rare events into mathematical economic /

financial models (see "model"), making them imperfect and dangerous.

The rare events trap #2: just neglect

Ignoring rarity your own peril

A more mundane hidden trap is that most people do not imagine those rare
events could happen.

They do not anticipate them as they never experienced them,

or, if they have seen them, because their memory (see that word) faded.

Thus they are overconfident.

They neglect to take precautions , to get
(protection, escape road), even when signals
of possible trouble appear.

=> They get trapped when the situation turns bad.

=>  Or they are not ready to seize the opportunities
      they might bring.

Rationality commands to have a safety margin and contingency plans

in prevision of totally destructive dangers, however infrequent they
might be.

The opposite trap: pervasive small risk fright

Focusing on the bad trees in a rich forest.

On the other hand, individuals and societies can suffer from (or be manipulated
into)  paranoid frights against risks that have very small negative
effects, or
even against invented dangers. Booh!

Also, the prospect theory (see that phrase) shows that the loss aversion curve
is very steep near the "reference point", therefore for small losses.

Any loss, however small, has usually an emotional impact

This dramatization of losses explain also

- millenary panics based on flimsy analyses,

- or to a smaller degree, abusive uses of the "precautionary
that paralyzes innovation, initiative and scientific quests.

In contrast, as said above, there is some rationale, while accepting to
risks, in not neglecting to make some preparation against

identifiable identified infrequent albeit extreme dangers.

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This page last update: 09/08/15

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