Monday, October 26, 2009

Mentioned in the right circles

I'm not sure whether the bloke in the cartoon is meant to be me - us blokes with beards look all alike.

http://www.chinadaily.com.cn/cndy/2009-10/20/content_8817570.htm

Thursday, October 15, 2009

Feeling good

I suppose I should feel good that the other side of the court case for which i'm an expert witness has asked the judge to rule most of my evidence inadmissable. That means they're scared, right?

Monday, October 12, 2009

Capital buffers for market risk

The approach to estimating capital and the market risk of portfolios is a bit confused at the moment. If we think of capital as the buffer that we need to hold against some surprisingly bad event, then it makes no sense to estimate it by looking at current and past portfolios. The Board needs to tell the traders how much money it wants to put at risk from a trading portfolio. Then the risk model can assess the probability of this occurring given the current portfolio and current market conditions to ensure that the VaR limit is within the Board approved limits.

How does the Board come to its decision? Gut feel can be one way. Another would be to look at the historical risk positions that have been taken. Both approaches need to be reconciled.

Wednesday, July 1, 2009

Risk management and the Foundation Trilogy

In the INARM actuarial blog, Dave Ingram made the following comment:

I had an interesting discussion over the weekend with someone about the original Foundation Trilogy.

It seems that those books provide a very good paradigm for risk management.

1. As mentioned by Steve, the "psychohistory" which I always envisioned as a massive computer model that looked into the future and made probabilistic predictions of likehood of possible courses of events. From this work a plan was developed.

2. A "Black Swan" event that was not anticipated by the models in book two - "The Mule" . This Black Swan event invalidates the original models.

3. A group of people, "the second foundation", who were charged with updating the model for actual events as they deviated from the original projection. As well as implementing corrective actions to bend events back towards achievement of the original goals.

Asimov anticipated an extremely important aspect of this prediction business. The working of the original plan and the adjustments of the second foundation were kept secret from the world at large. Asimov understood the impact of knowledge of the plan on the actions of the people.

These books were written in the early 1950's and there are several fundamental ideas that we have not yet fully understood or mastered in risk management.


This prompted my reply:

Very good points! Now for a short riff on this theme with insights into modern risk management practice.

Unfortunately "Second Foundation" wouldn't work as Asimov assumed for his fictional work. The problem is how can we maintain a proper risk management culture? Culture evolves much more quickly than physical characteristics because its transmission mechanisms - memes - have a much greater mutation rate than the genes, and the environment in which the memes multiply is much more chaotic than the physical world (except when meteorites hit). Hence the memetic repair mechanisms needed to keep the culture semi-stable (analogous to the genetic repair mechanisms to cull out egregious mutations) need to have attention paid to them. Three important repair mechanisms for risk management culture are regulation, shareholder influence on Boards, and separation of duties. None of these are included in the "Second Foundation", hence the starting point of my riff.

The information now coming out on Countrywide shows the importance of all these mechanisms for the maintenance of corporate culture.

Another point Dave. Random statements - like mentioning the Foundation Trilogy - are an extremely effective way of getting thought patterns into new pathways - an essential thing for a risk manager (as distinct from a compliance manager).

Tuesday, June 9, 2009

Credit Default Swap auctions

Here's a summary of CDS auctions I've incorporated into my yet-(never?)to-be-released book on Financial Risk Management. Nice to know how they work.


CDS Auctions[1]

A method for gauging an official price at which to settle CDS contracts is not the only rationale for an auction. There are a number of credit market indexes that are used as the basis for various derivative contracts. An auction gives a reference price that can be included in all indexes and so reduces basis risk for people who have matched physical and derivative positions via a number of different indexes.
The auction proceeds in two rounds and all prices are based on a par value of 100.
In the first round brokers submit a bid and offer on their own behalf and that of their clients The bid-offer spread may not differ by more than 2. If desired, a request can be made to buy or sell a physical amount of bonds – this amount may not be in excess of the party’s market position. If the highest bid is higher than the lowest offer then both quotes are removed from the pool; this step is the repeated. When all bids are below all offers the unweighted average of the highest 50% of bids and lowest 50% of offers is calculated. This is the inside market midpoint. The net sum of the requests to buy and sell physical instruments is called the open interest. If the open interest is zero then the inside market midpoint is the final auction settlement price for physical and derivative contracts. Otherwise round 2 starts, which clears the open interest.
Dealers can then submit any number of limit orders (size and price) for physical instruments, with a limit of ±1 of the inside market midpoint. If the open interest is to sell bonds then the limit on the buy orders is a dollar above midpoint, if the open interest is to buy then the limit on sell orders is one dollar below the midpoint. The open interest is then matched against the limit orders and the clearing price is the final auction settlement price for all physical and derivative instruments.

[1] This information is summarised from Helwege et al http://ssrn.com/paper=1407272

Vale Peter Bernstein

Bernstein's Against the Gods is a must read for anybody interested in the study of risk. And that means everybody - it is a very easy read.

Thursday, May 21, 2009

UBS and statistics

Last night I read the risk management section of UBS's 2008 annual report. What is it about some risk officers that makes them have a blind spot concerning basic statistical principles?

Take a look at this quote from p130 As UBS's VaR model uses a look-back period of five years it does not respond quickly to periods of heightened volatility as experienced in 2008. ... UBS experienced 50 backtesting exceptions in 2008 compared with 29 backtesting exceptions in 2007. Here backtesting is concerned whether a 99% 1-day VaR is exceeded. No backtesting failures had been seen from 1998 to 2006. So, in a period of about 9*250 = 2250 days, where UBS should have seen about 22 exceptions, it saw none, and in a period where it should have seen 2 or 3 exceptions it saw 50 ! What do they say about this? These results highlight the limitations of VaR ... Now come on guys! Why don't you admit that your VaR model is rubbish. You had 9 years of experience showing you the model didn't work and still you kept at it. Now it's failed the other way, and you still keep the model in your armoury?

How do UBS describe VaR? VaR is a statistically based estimate of the potential loss on the current portfolio from adverse movements ... VaR is derived from a distribution of potential losses.

The comment that VaR is statistical is a common theme in UBS's discussion. OK, I'll admit it's statistical, but UBS's use of it is lousy statistics. The way UBS describe this makes it sound like it's a reasonably OK statistical tool, but with some limitations, which they describe. This is bordering on the completely misleading, and here's why.

Using a simple 5 year historical simulation to calculate VaR means you are calculating an unconditional VaR i.e. you are not conditioning your estimate of VaR on the current market conditions. VaR is supposed to be an estimate of what you could lose tomorrow with some probability. It makes no sense to calculate the distribution of possible losses tomorrow without taking into account that we may be in a period of high market volatility. Basel II capital requirements are that we need to hold capital that is suitable for the current conditions. If we have high volatility then we need to increase our VaR immediately, not wait a few months until it starts to be a significant part of our 5 year data set.

The continued production by UBS risk management group of this VaR statistic shows that they do not understand some basic ideas of risk measurement. It is a number that has almost no useful interpretation for day-to-day risk management or for capital management. That the Swiss regulator allows this measure to be featured so prominantly in the annual report shows that they have not adopted a sufficiently rigorous supervisory role over their banking system. That similar measures are used in other banks worldwide show that there is still something seriously wrong in banking risk management.