Dec 26, 2010

Discounting the future

Actually, who are we actuaries to pretend that we can discount the future? Who's able to predict the future 50 years or more ahead in case of a pension fund?  No, we're not crystal ball discounters, we're risk managers 'pure sang'. And as discounting risk managers we're pretty sure about two things:
  1. The increasing uncertainty (fogginess) of future cash flows slowly kills its discounted predictability in time

  2. Risk free discount rates doubtlessly include the risk of changes in future discount rates, but nevertheless vary in time.

    Risk free discount rates are volatile and are unpredictable on the long run.
Historical development
Let's take a look at discounting developments from a helicopter's perspective...
A few decades ago, discounting was simple:

Discounting Around 1980
Whether you were in the insurance or pension business, way back in the last century actuarial business was simple. All you had to do as an actuary, was discounting the assets and liabilities at an explainable 'long term average' and 'realistic save' (whatever this means in today's perspective) discount rate and it was done. Subtracting discounted liabilities from the discounted assets, also resulted in a clear undiscussable equity size:(E= A - L) and - in case of a pension fund, the coverage ratio : (CR=A/L).  

Discounting Around 1990
As computer and calculation capacity increased around 1990, actuarial models became more complex. Instead of as single projected cash flow, more complex cash flows and scenarios entered the actuarial model scene. With more sophisticated computer calculation power we were able to calculate and underpin risk-return investment scenario's that led more to more risky 'risk controlled' investment policies.

'Risk' was translated into (replaced by?) 'volatility' and 'volatility' was translated into 'variance'. Thus future risks where estimated on basis of projected historical variance and (later) with help of VaR models.

However, 'Risk' was mainly defined on (and restricted to) the left side of the balance sheet: the assets. In line with this view, the insurer's  equity could be simply expressed as : E= A - kA.σA - L  (mp= minimum position) , or in case of a pension fund, the coverage ratio: CR=(A - kA.σA) / L   (mp).


Discounting Around 2000
More than a decade later, beginning 2001, fair value accounting and market value broke through. Not only stocks had to be valued at Market Value, but also bonds. As a consequence the volatility of the left side of the balance sheet increased more than ever.

As actuaries we thought we would be save on the right side of the balance sheet were things were steady and calm as always... However, a few years later the 'Actuarial Sleeping Beauties' were kissed to life as Market (consistent) Value was introduced with regard to discounting liabilities. This development fired the starting gun to a swapping right size of the balance sheet.

Now insurers (minimum) equity got squeezed up between two volatility monsters, assets and liabilities:  E= A - kA.σA - L -kL.σL (mp).
Pension funds had to become real acrobats to manage their new wobbly coverage ratio: CR= (A - kA.σA ) / (L + kL.σL)     (mp).



No wonder pension funds and insurers got into trouble when the credit crises caused the final blow.....

Rebuilding stability
In Europe insurers are trying to rebuild stability by means of "Solvency II". Pension funds are trying to find their way out by suggesting more conditional pension rights. Some have even suggested to steer (valuate?) pension funds on basis of a kind of "moving average method" (asset returns or coverage ratio).

Other  'actuarial pension experts' have told me that we should stick to market value and accept the consequences, e.g. just accept that coverage ratios can stay below minimal level for several months, without anyone panicking..... Simply explain to pension fund members that the pension fund is long term well funded and there's no reason for panic if the coverage ratio breaks down for a short period....

Don't Panic......
This reaction reminds me of a weird family experience, when we where on holidays many years ago in a village called Ballyheigue (west(ern) Ireland).

Don't panic!
That afternoon my wife, the kids an I arrived in Ballyheigue. We stayed in a lovely local hotel near the fantastic west coast of Ireland.

The local assistant manager welcomed us and pointed out that there was a small minor (2x!) problem that could occur: Last week, at irregular moments, the hotel alarm had gone off several times, this could probably happen again. Reassuringly, he explained  that in the unfortunate case the alarm would go off, we shouldn't panic and just stay calm, as it would probably be a false alarm.....

That night we confidently went to bed early......

Then, at 01.30 AM that night, suddenly the fire alarm goes off. An ear piercing sound cuts through our ear drums... Within 2 minutes we - all hotel guests including my family - are all outside, despite the reassuring words of the hotel assistant earlier that night.

Conclusion

From this simple experience we can conclude that 'reassuring words' don't help in panic circumstances. Ergo, it's impossible not to panic in case coverage ratios go down for several months....

Convincing people 'not to panic' in case of 'clear panic signs' is an almost impossible task.  Once one mentions the word 'panic', all human systems get in a kind of  non stoppable alarm mode. It's like the famous scene from Fawlty Towers :







Related Links:
- Pension Actuary's Guide to FINANCIAL ECONOMICS (2006)
- Pension contracts and developments in pensions in The Netherlands (2009)
- One of those superb hotels in Ballyheigue: White Sands Hotel

Dec 20, 2010

Goodhart's Law

Back in 1975 professor Charles Goodhart stated:

Goodhart's Law
Any observed statistical regularity will tend to collapse once pressure is placed upon it for control purposes


More in general Goodhart's Law is Goodhart's law is a generalized social science expression of the so called 'Lucas Critique'. Named after Robert Lucas who argues that it is naive to try to predict the effects of an (economic) change entirely on the basis of relationships observed in historical data.

Actuarial examples...
Some remarkable actuarial examples of Goodhart's Law are:



Historians...
Early 2009 Goodhart proclaimed : “One of the lessons of the recent crisis, a lesson for bankers and for regulators, is, hire fewer mathematicians (actuaries) and physicists who build models on the basis of data that they can observe over relatively short period, and hire a few more historians who know what can go wrong even if they don’t necessarily have a good data basis to put into particular models”.

Although Goodhart is probably right, actuaries should keep an eye on the process....


Future developments are a function of Data, Probability, Uncertainty, Experience and above all Common Sense.

Just like the Roman God Janus, actuaries should look at the future, with the past in mind. And to do just that, we need all the help in the world, especially from historians....


Related links:
- Performance Persistence of Dutch Pension Funds (2010)

Dec 11, 2010

Actuarial Thought Leadership: What is success?

What is success? Are you a successful actuary?

Simple questions, easy to answer you would think. Right?

Wrong!

To illustrate the deeper  meaning and the nuance of success, let's take a look at the next 'Best Practice of Success'. A real life story from Joshua Maggid.....

'Best Practice of Success'

That day, together with my new colleague James, I entered the Pension Board's holy board room. All eight pension board members welcomed us with a hopeful smile and a firm handshake.

After introducing James as our company's brand new super professional, an unbeatable actuary and a seasoned specialist in asset liability matters, all seemed set for a successful presentation by James. Todays subject: Board decision on the new - next year's - asset allocation.

As expected, in a more than splendid and fluently short presentation, James handled everything a pension fund board member could possible think of or ask for. From headlines to all the important details. In roughly half an hour James showed his outstanding technical skills and impressed all board members. They were flabbergasted. What a knowledge, this was what one would call real Thought Leadership!

After James finishes his presentation, silence fills the board room. A kind of holy silence... Every board member is overwhelmed by James' stunning presentation. The Pension Board President quietly  looks around and breaks the profound silence as he softly says: "Thank you James.... Gentleman... (a lack of ladies in pension fund board rooms still teases us)...., is there anyone who has a question?......  (silence continues..) .  If not..... Do we all agree on James' new asset allocation proposal? (silence continues, some board members nod their head..). Does anyone disagree with James' proposal?.....(no one replies verbal or non verbal)... If not... Thank you for your continuing support. As a pension board, we've just agreed to the new asset location for next year... Congratulations!.... Dear advisory actuaries - James in particular - thank you for your effective presentation and corresponding proposal."

Aftermath
As always after I visit a client with a colleague, we meet shortly after in a nearby coffee shop to evaluate the meeting as well as each other's performance, irrespective of any form of hierarchy.

When I meet James shortly after the successful pension fund board meeting in the local Starbucks, he comes in walking with a smile....

"Peace of cake ", he opens our conversation. "What do you mean?, I ask him. "Well, making a $ 0.2 million turnover in a 30 minutes presentation, without any questions or comments, seems like a dream. I couldn't have done any better. I surpassed myself. This was one of my most successful presentations ever", James replied.

I looked him in the eye as I dropped an uneasy silence..... "This was as bad as it could get", I answered James. "How do you mean, 'Bad'? It was great, everyone agreed on my proposal, no questions at all.", James responded agitated.  

"Well - in short - It was YOU that took the decision and not the board. That's whats wrong", I stated. James again: "That's not true, I only advised, the board took the decision, not I. Let's keep things clear here, please!".

"No", I answered, "It was actually you!.... You took the actual decision. And if things in practice turn out different from your proposal (as most likely will be the case), this pension board will blame you for a wrong advice two years from now.......  

By demonstrating your enormous technical power in a half hour monologue, you've overpowered the board in such a way that they could not raise any questions or give comments without the risk of showing a form of incompetence or loss of face.

As we discussed in our preparation, you should have presented at least three different scenarios. Each scenario with a a different risk appetite. You should interactively have helped the board with choosing a well understood risk-return scenario. Asking questions, wrapping up opinions, leading the discussion to a point where the board feels that they've clearly understood what's on the table and 'feels comfortable' with the common decision taken."

James replied with anger: "When I have to do it that way, my presentations would take two hours and my preparation as well.  Above all, I have to deal with ten similar clients next week. I simply don't have the time to pick it up the way you suggest."

Moral of the story
From the above example it's clear that 'short term success' is not the same as 'long term success'.

To prevent ending up only in the reality of our own believes, constructive peer reviewing each other's performances is key to keep delivering long term top quality.

So don't forget to discuss your 'actuarial eggs' with one of your actuarial colleagues.....



Finally....
It takes 'new ethics' actuaries (and quants) to make pension fund business successful again.
Are you that actuary?

Related links:
- Making Decisions in the Pension Fund Board Room (PDF,2010)
- Investmentmentor:
   expectation, a force that will release either success or failure