Re-Re-Re-Re Insurance: Lloyd’s Plays With Grey Swans
Krugman’s
account of Lloyd’s insurance company in his Losing
It chapter jumped out at me for a number of reasons. First, it seemed an
interesting lesson in regards to the recent financial crisis. We saw a similar
problem, and with insurance companies no less! AIG would agree to insure home
loans, assuming some supposedly estimable and extremely unlikely event would
occur (a large number of defaults, in this case driven by a housing bubble
bursting). This allowed banks and other institutions to sell of risk for what
they perceived as a cheap price, and thus were encouraged to seek more risky
transactions due the moral hazard associated with gaining fees and bonuses from
large deal flow and not being faced with downside risk due to insurance. When
AIG looked like it would be unable to make good on this insurance, there was a
dramatic system shock.
This is, in
many ways, similar to Lloyd’s. Lloyd’s, losing market share in a growing
competitive field decided to make risky bets as well. They again, those funding
the insurance, the Names, may not have been as aware of the risk they were
taking on. This information asymmetry was present in both scenario’s allowing
one party, in this case Lloyd’s, to take advantage of its reputation for ethical
behavior (as some have argued that modern banks did in the opaque derivative
market) to take on excessive risk in search of quick returns. In both
scenarios, we see exposure to large downside risk being realized with dramatic results.
There are
of course a number differences and the analogy does break down. Lloyd’s may not
have had quite as large a global impact as the US banking crisis, but it
certainly had a larger effect on individual names, given the fact that it was
not set up as a limited liability structure, and Names were thus liable to lose
all of their possessions.
The second
thing that jumped out at me, apart from the parallels to the modern crisis, was
the structure of the insurance itself. Lloyd found itself in a dangerous area,
namely it was insuring very rare events, with enormous impacts. These rare,
impactful events were written about extensively by N. Taleb in The Black Swan. He, along with some
behavior economists and psychologists like Khaneman, have noted that people
generally have trouble estimating these very rare, but very impactful events both from a mathematical and a psychological standpoint.
The general idea behind Taleb’s argument is that those quantitatively analyzing
risk (like those pricing insurance for Lloyd’s) have trouble estimating how
“fat” the tails of the probability curve are (how common the extreme events
are) (i.e. the kurtosis). Using Taleb’s definitions of these events, Lloyd’s
was dealing in grey swans, large impact (remember they are insuring other
insurers against risk above a certain amount—they are essentially only dealing
in rare, large events!) events that were conceivable although extremely rare
(although perhaps not as rare as the insurers believed). It seems likely that
in addition to having issues of moral hazard and myopia in investment
decisions, Lloyd’s was perhaps exposing itself to risk that is difficult to
accurately estimate, namely these large tail events. Modern finance has
recently recognized some of the shortcomings with attempting to fit normal
distributions, or even historical distributions to future data sets, and are
using stress tests and other metrics to attempt to solve these “tail event”
grey swans associated with the Lloyd fiascos and the recent financial crisis.
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