Jan 14, 2011

Twitter Fair Value Accounting

Do you still believe in 'Fair Value Accounting' or 'Market Value' as an excellent accounting principle?

After reading this blog you'll probably have developed a more distinguished view....

Yes...,Fair Value is hard to define...

Probably 'The Fair Value' as such, doesn't exist.

What's 'fair', is often subjective. Therefore 'Fair Value' must be imaginary.


How to earn $9 million by investing '50 cent'?
Answering this question is easy. Look at the next example:


According to 'Business Insider', rapper and business man 'Curtis James Jackson III', alias '50 Cent', promoted the almost worthless HNHI shares during the first weekend of 2011 on Twitter with success!
In no time HNHI shares, including Curtis' 30 million own shares, went up by $.29 a share. Result: almost $ 9 million gain in market cap for just one weekend of tweeting. Not bad!

What actually happened, was:


Don't replicate these kind of dangerous investment marketing jokes...

It's like playing with fire and (therefore) not without risk.

The SEC's attention for Curtis James Jackson's discussable marketing promotion has already been drawn...

Twitter is great, but use it for social activities. Always 'Mind your Steps' at Twitter, especially with regard to financial issues.


Fair Value

This controversial simple Twitter-Investment example shows the weakness of our accounting system. 'Fair values' are of course by definition 'fair', but can be easily influenced by major media players like celebrities or large investment companies in the financial markets.

Controversial Investment marketing
The wrong receipt (Fraud?) to make profit in the investment market is:
  1. Select a listed company XYZ in your portfolio that didn't perform well during last years and is clearly undervalued.
  2. Hire a celebrity (on basis of a limited fee) to promote XYZ on Twitter.
  3. Wait for the shares to go up
  4. Cash out before shares go down, ahead of a total collapse. 

Large Investment Companies
Of course - just like me - you might think: large companies don't get mixed up in these matters.  But what to think of the next, slightly changed, approach where large investors makes use of the effect that a lot of small investors follow (or try to outperform) a large investor by flocking (following) or anticipating a large investor's investment strategy without an own investment policy or model (Fair or Fraud?).

A large investor can easily use this flocking effect in a kind of double trick:
  1. As a large investor: Select a listed company XYZ in your portfolio that didn't perform well during last years and is likely undervalued.
  2. Simulate in the market that your large investment company is interested in buying XYZ shares (spread the rumor, place a non binding call, etc.) or invest a small amount in XYZ.
  3. Wait for the shares to go up.
  4. Cash out before shares go down on their way to a total collapse.


Case 'Deutsche Bank'
Again, if you don't believe these kind of methods are applied, just go to sleep early tonight and please don't read the 2010 introduction in FT of new computerized trading model called 'Super X' by 'Deutsche Bank'. This new model is all based on 'dark pools'. Nobody really knows or fully understands what is happening in these dark pools and their corresponding algorithms. What about transparency rules? Unfortunately you'll find not a single word about Super X ethics in press articles by Deutsche Bank.

Understandable, because Deutsch Bank doesn't have to worry about transparency or ethics at all. Despite of its ethical code, ominous named 'Passion to Perform', Deutsche Bank admitted criminal wrongdoing over fraudulent U.S. tax shelters by the end of 2010.  Instead of firing those who where responsible, DB simply agreed to pay $554 million to avoid prosecution. After that it was business as usual......

How far does 'passion' go? What seems 'fair' to you and what can we actuaries, learn from this?????

Ethical?
Like in the example(s) above, large investors are able to influence and manipulate the market (price) by acting, fake-acting or non-acting.

From an ethical point of view it gets more and more complicated to earmark such actions as unethical.

Computer programs simply register effects as "if I (computer) do (invest or not-invest or disinvest) 'so', 'this effect' will be 'the result'.

As a consequence these computer programs simply apply and execute these found market principles and structures in the financial markets without a 'moral view' or any form of perception: Fair!, so to speak(??).

Monetary Policy Influence 
Another form of influencing financial markets is by the monetary policy  (read:intervention) of the central Banks. The 2010 Fed intervention could be such an example.

Conclusion
It's clear that the financial markets can be easily influenced by short term media effects, indirect value related investment strategies of large investment companies and Central Bank's monetary policy.

Irrespective from the question wetter it's "Fair Value or Not Fair Value", we'll have to deal with 'temporary unfair market effects' that can have a major impact on a company's value.

As a consequence it's not 'fair' nor 'wise' to base a company's value on the 'fair value' on December 31th 24.00 hours. Temporary market volatility should - one way or the other - be excluded in valuations (moving average?).

With regard to your own private investments or life, keep in mind:

If something sounds too good to be true …
it probably is...

Related Links/Sources:
- How To Make $10 Million From Just One Weekend Of Tweeting
- "If it's good enough for Buffet, it's good enough for me"
- "No Amount Of QE Will Be Able To Keep The Current Stock Market Bubble From Bursting"
- Fair Value or Not Fair Value
- How Much Influence Does The Fed Have?
- Fraudwatchers
- The Latest Celebrity Stock Promoter / Pump and Dumper? 
- CurtKoCool 
- Cartoon '50 Cent' 
- MarketWatch HHI
- FT: Deutsche Bank unveils new trading model (2010) 
- Daffy Duck 

Jan 8, 2011

The Life Expectancy Variance Monster

After 'age', what would be the most important explanatory factor with regard to mortality rates or constructing life tables?

As actuaries we've demonstrated our innovation capabilities by developing life tables not only based on 'age' and 'gender', but also (two dimensional) on 'time', 'generation' and 'year of birth'. This helped us to extrapolate future mortality rates in order to predict future longevity with more accuracy.

However, despite our noble initiatives, these developments turn out to be insufficient to put the Longevity Variance Monster back in his cage.

Modern 'life expectancy at birth' predictions for periods of 40 to 50 year ahead, lead to 95% confidence intervals of 12 years or more. Unusable outcomes .....

Let's not even discuss more necessary accurate confidence intervals of 99% or more ....

In our attempt (duty?) to moderate and diminish future life expectancy variance, we'll have to develop new instruments.

The more we know which risk factors 'are responsible for the increase in 'life expectancy', the better we can estimate and diminish future variance.

One of those new approaches is to calculate life expectancies on basis of postcodes.

This new insight can be helpful, but there's a much more important risk factor that has to be included in our life expectancy predictions to definitely kill the Longevity Variance Monster:

Self-perception of aging

In a 2002 research "Longevity From Positive Self-Perceptions" by Levy ( et al.) it became undeniable clear that:
  • negative self-perceptions diminish life expectancy;
  • positive self-perceptions prolong life expectancy.
Older people with more positive self-perceptions of aging, measured up to 23 years earlier, lived on average (median survival) 7.6 years longer than those with less positive self-perceptions of aging. This advantage remained after age, gender, socioeconomic status, loneliness, and functional health were included as covariates.

Top 6 Life Expectancy Risk Factors
Here's Levy's top 6 list of risk factors on life expectancy (ordered from greatest to least impact on life expectancy):

  1. Age
  2. Self-Perceptions of aging
  3. Gender
  4. Loneliness
  5. Functional health
  6. Socio-economic status

As we can not change 'age' nor 'gender', let's put some more research on the other risk factors.

Once we achieve to 'explain' the cause of increase of life expectancy on basis of 'new' (soft) risk factors, we - as a society - will also be able to manage life expectancy better (information, education, training, coaching, etc.).

In this way actuaries can help society so that people live longer and stay happy in good health. All on basis of of a sound financial pension and health system, as predicted life expectancy will show a smaller variance.



Help to kill the Life Expectancy Variance Monster.....

Happy 2011, with better expectations and smaller variance!

Sources/related Links:

- Why population forecasts should be probabilistic
- On line Postcode Life Expectancy Tool
- Longevity From Positive Self-Perceptions
- Predicting successful aging (2010)

Dec 31, 2010

2011: Happy Risk Year!

Life is full of Risk..  We can not deny or totally exclude risk. Have you ever thought about living a (professional) life without taking any risk? What kind of life would that be?

There's this great actuarial risk quote of the famous economist John Maynard Keynes that states:

On the long run, we are all dead.....

So if you want some 'return' in life, you might as well take 'somewhat' risk before you 'certainly' die.

A nice illustration of total risk aversion is the 2004 movie "Along came Polly" were Reuben Feffer (actor Ben Stiller) is an actuary who, since his job involves analyzing risk for insurance purposes, likes living life in complete safety and free from any unnecessary risk.

This movie urges to ask yourself a simple question:

What's the risk of a riskless life?

Living life without risk if for dummies! Optimize the risk-return in your life.

Risk Guidelines
At the end of 2010 some simple Maggid 'Risk Guidelines' for 2011:
  1. As long as there are no risks that'll kill you on the 'middle' or 'short' term: Take risk if you like the return outlook.

  2. Think about how much bad luck or suffering you're willing to accept for a desired return.  Key question here is:
    Why does a marathon runner punish his body every day for weeks on end for an individual race?

  3. Take a small risk every day! Invest small 'good things to do' by helping others without expecting a return. Soon you'll harvest some of your sowed investment seeds.....


Riskless Investment
Remember..., the only one riskless investment in life is.....



YOU




Anyhow, make 2011 a happy and healthy risk year!

Related Links:
- "Watch the movie 'Along came Polly' online !
- Learning about Risk and Return: A Simple Model of Bubbles and Crashes 

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


Dec 6, 2010

Actuarial Simplicity

What is simplicity? What's the power of simplicity?

Goethe
It was Johann Wolfgang von Goethe ( listen), a German writer (poet), but also a polymath (!), who
stated
:


And indeed Goethe was right, in (actuarial) science and  practice it's the challenge of overcoming (transcending) this paradox of simplicity and complexity.

The art of actuarial mastership
As models become more and more complex, it takes the art of actuarial mastership to condense this complexity into an outlined, understandable and (for the audience) applicable outcome.

A 'best practice example' of condensing complexity into a powerful inspiring statement, is Einseins famous equation E=MC2 :

Like Paulo Coelho states in his blog about Einstein:
A man (actuary) should look for what is, and not for what he thinks should be. Any intelligent fool can make things bigger and more complex… 

It takes a touch of genius – and a lot of courage to move in the opposite direction.

Or, to quote Einstein:

Everything should be as simple as it is, but not simpler


How to cut through the actuarial cake?
Just three simple examples on how to cut through the complex actuarial cake. Examples that might help you to simplify complexity:

1. Think more simple

A perfect example of 'thinking more simple' is finding the solution of the next math problem (on the left), grabbed from an old high school math test.

Can you solve this problem within 10 seconds?

Found it? Now move your mouse over the picture or click it, to find the refreshing simple answer.....


Remember however not to oversimplify things. Sometimes problems need the eye of the actuarial master to identify important details...



2. Visual Results
Second example is to visualize the outcome of your models instead of power-point bullet conclusions or explaining how complex your model really is.

A nice example is the online dollar-bill-tracking project "Where's George?" from Research on Complex Systems, that measures the flow of dollars within the U.S. (over 11 millions bills, 3109 counties).
About 17 million passengers travel each week across long distances. However, including all means of transportation, 80% of all traffic occurs across distances less than 50 km.
One picture says it all and 'hides' the complex algorithms used, to get  stunning results.

On top of, George collects relevant data about 'human travel' that could be used for developing models of the spread of infectious diseases.

Just take look at the video presentation of George called Follow the Money to find out how to extract simple outcomes from complex models.

One of the simple results (by Brockmann) of this project is that the probability P(r) of traveling a distance (r, in km)  in a short period of time in days (max 14 days) can be expressed as a power law, i.e.:

P(r)= r -1.6

 3. Listen better
Every (actuarial) project outcome fails if there's no well defined goal at first.

Main problem is often, that the client isn't really capable of defining his goal (or problem) very precise and we - actuaries - start 'helping' the client.  In this 'helping' we are imposing our thoughts, beliefs and experiences onto others, by what we think 'is best' for the client. The outcome might often be an actuarial solution that fits the problem in our own actuarial head, but fails to meet the clients problem.

Main point is that we - as advisors - don't really listen well.
Of course that doesn't apply to you as an actuary personally, but it does apply to all other qualified actuaries, doesn't it?

Just to test if you're part of that small elite troop of 'well listening qualified actuaries' (WLQAs), just answer the next simple Client Problem:

Client: I'm confused about 'distances'. It turns out that measuring the distance between two points on earth is really complicated math, as the world is round and not flat.

But even in a 'flat world' I find measuring distance complicated. As an actuary, can you tell me:


What’s the shortest distance between two points in a flat world?

O.K. Now think for a moment.....

Have you got the answer to this complex client problem?

Now that you're ready with your answer, please click on the answer button to find out the one and only correct answer.
The answer is: the shortest distance between two points is zero
Hope you safely (without any mental damage) passed the above WLQA-test......

A Simple Application
A nice demonstration of actuarial simplicity is the well known 'compound interest doubling rule' that states that an investment with compound interest rate R, doubles itself in N≈72/R years.

So it'll take (p.e.) approximately N≈ 12 (=72/6) years to double your investment of $100 to $200 at an compound interest rate of 6% p.a.

While the precise equation of the doubling time is quite complex to handle, it's approximating equivalent, N≈72/R, is simple applicable and will do fine for small size compound interest rates.


It's our actuarial duty and challenge to develop simple rules of thumbs for board members we advice. We actuaries have to master the power of simplicity. Let's keep doing so!

Related links:
- The Complexity of Simplicity
- Where's George?: Wikipedia
- The scaling laws of human travel (2006)

Dec 3, 2010

God’s Definition of Risk

To snap things in the right perspective, now and then it's good practice to consider how actuarial science really started:


Yes, like Laplace stated in his masterwork 'Théorie Analytique des Probabilités', it all began with 'games of chance'... and - today -  perhaps it still is.....

From 'gaming', probability theory developed to 'actuarial science' and finally to 'risk management'.

Risk Levels
Today we distinguish three main types of risk levels:

Risk Level 1
In fact what we are modeling mostly, are the risks we know, the 'known risks'... These risks are the familiar operational, financial and compliance risks

Risk Level 2
These are the strategic risks. Risks related to new markets, mergers and acquisitions, investments, but also business development, brand and reputation risks.

Risk Level 3
These are the unpredictable, the so called 'unknown, unknown risks'.


The Rumsfeld definitions of risk levels
A similar more humorous, but also interesting definition of risk levels, has been given by the United States Secretary of Defense  Donald Rumsfeld  during the Iraq War:
  1. Known Knowns
    There are known knowns; there are things we know that we know
  2. Known Unknowns
    There are known unknowns; that is to say, there are things that we now know we don’t know
  3. Unknown Unknowns
    But there are also unknown unknowns; there are things we do not know we don’t know."



If we're honest, we'll have to admit that even our 'known known' and 'known unknown' risks in our models in reality have a high 'unknown unknown' origin.

Or, as Barry du Toit at Riskworx shows in an excellent paper called 'Risk, theory, reflection: Limitations of the stochastic model of uncertainty in financial risk analysis' : our stochastic model of uncertainty is powerful but limited.



It's (p.e.) an illusion to use 'standard deviation' as a stand alone measure for risk. We must be aware to apply our models without a healthy portion of 'common sense'. Or, to put it in air-plane words:

The danger inherent in 'altimeter usage' is that its unquestioning use will stop pilots from using a range of more intuitive risk measures, such as looking out of the window!

God’s definition of risk
There is no ultimate "God’s definition of risk", we'll have to manage with our limited models as a help to our Risk Insight. Success!


Sources and related links:
- Limitations of the stochastic model of uncertainty in financial risk analysis
- Laplace: analytic theory of probabilities (English)
- Strategic Management of Three Critical Levels of Risk
- Managing Projects in the Presence of Unknown Unknowns

Nov 29, 2010

Longevity Swaps: The Next Bubble

Last century our Human Footprint Index (the relative human influence in each terrestrial biome on Earth) increased exponentially.

According to the Human Footprint Index, not only Europe (left picture), but also India and the North East of the U.S.  are  'humanized'.......  Step by step we - human beings - are 'amazingly' filling up every little corner of the world.

Just a few more years and - as a species - we'll be 'omnipresent'.

Yes, we are crowding this good old earth at an immense speed, as our health increases and we keep living longer every year. The social and financial effects of this population growth will be enormous.

Nevertheless we're very unsure about how our population will grow in the future...

Key point is that population growth will strongly differ per region and country. The growth in the western countries will be driven by the aging population, while the growth in developing countries, like Africa, will be driven by new births. In the' aging countries' population growth will undermine our social and first pillar pension systems....

Pension Fund Transform
This aging society development implies that our mature pension funds will have to transform from pension-saving to pension-paying.

Secondly 'longevity risks' become more and more important and can not be 'financed' anymore from the declining funding margin.

Example: The Longevity Trap
Let's take a simple example.

Rule of Thumb Nr. 1
In the so called developed countries, every year we live, our life expectancy increases (on average) with 3 months! Or, as Harry de Quetteville from the Telegraph stated it more humorous:

For every year we live, we are only really nine months closer to death!

Rule of Thumb Nr. 2

This rule of thumb states the financial impact of longevity:

One year increase in life expectancy from age 65 equates to approximately a 3% to 5% increase in pension value liabilities.


Combining  rule I and II leads to the conclusion that on average the pension liabilities of mature pension funds currently urge for a yearly 1% increase of liabilities, just for financing the cost of extended longevity.

A decade ago, the slowly increasing 'sniper costs' of extended longevity could easily be financed out of the pension fund's margin.

Nobody (not even an actuary!!!) could imagine that longevity would become a substantial issue.

Later that decade, disappointing stock returns and low long term liability discounting rates shrinked the pension margin and even turned it negative. This pension margin reduction put the cost of extended longevity in quite a different perspective. The 'Actuary Longevity Trap' had become a fact!

What really had happened was that the high returns and interest rates of recent decades masked the (increasing) costs of extended longevity.

'Once bitten, twice shy', one would think.... But not for actuaries, as
the next bubble is coming up........


Longevity Swaps
The Next Bubble


Reinsurance
Not only pension funds but also Life insurers are facing significant longevity risks as mortality rates are still declining. Reinsurance companies like Swiss Re and Münchener Rück try to fight the underestimated longevity effects of pension funds with so called ‘Longevity Swaps’.

The essence of a longevity swap is that a pension fund trades the - due to longevity - uncertain estimated future pension payments until death (floating leg) against the actual future pension payments for the scheme’s pensioners payments (fixed leg).

Why a Longevity Swap is a bubble?....

The Longevity Swap only transfers the risk to a counter party (reinsurer), but this counter party in general doesn't have a complementary risk to match the accepted risk of the longevity swap. The counter party bases his underwriting only on a more 'safe' calculation. 

This implies that whoever is sitting at the end op the swapping chord, will finally pay the bill (systematic risk!) in case longevity risks are structurally being kept underestimated. Now if one thing is a fact, it is that - for decades - longevity risks are underestimated en this underestimating behavior will continue in the future, as we actuaries are apparently ignorant at this point.

Just like the high interest rates in the past masked the actual cost of the extended longevity, current longevity swaps wrap' long term unsure and underestimated  future mortality rates' in interest-discounted derivatives. 

Whatever reinsurers are discounting after 30-50 years at interest rates above 2% doesn't really count anymore in terms of present value. but will reveal itself in the coming decades....

By the way, is a 90% (asymmetric?) confidence level resulting in a 11 year life expectation spread in 2050 consistent with a 97,5% or 99,5% confidence level used as basis for a longevity swap?

Probably not.........

But who cares about consistency, when 'short money' is on the table?
You? (Hope you do..)


Conclusion
We're left with no other conclusion than that it will turn out that longevity swaps in their current form are the new systematic risks of the future!

Any solutions? 
The only solution to prevent longevity swaps from becoming a bubble is to find complementary 'matching' risks that compensate the accepted risk (profile).

It's hard to find matching risk profiles for the reinsurer. The fact that longevity mainly applies to older people (top around age 80-85) makes it hard/impossible to compensate longevity risks with mortality risks at younger ages.


Perhaps a kind of solution could be that pension funds could offer the relatives of a pensioner the possibility of insuring (life insurance) the calculated liability of the pensioner (or the remaining annuities until the age of 80) at the moment of death  (a kind of liability legacy life insurance).

Perhaps some creative actuaries have some other ideas? Please let me know...


Sources & Related Links:
- Life Tables United States Social Security Area (2005)
- The Human Footprint Index Graphics
- World Population Growth
- Wapedia: World Population
- A model for longevity swaps
- Understanding Modeling and Managing Longevity Risk
The pros and cons of longevity hedging(2010)
- Longevity Risk in Pension Annuities (2005)
- Increasing Longevity: Effects on Pension (2009)
- Longevity swaps as an investment (2010)
- Pensions: Change management (2009) 
- Pensions: On the wrong track? (2009)

Nov 22, 2010

What's that, an actuary? Kamikaze Investors

'Housing' is probably one of the most complex assets and also one of the most interesting.

Wake up...
At the next birthday party when somebody asks you the regular line: 'What's that, an actuary?....'  Don't answer the obligatory way, but demonstrate your actuarial risk management abilities in an interactive way....

Just ask who of your birthday friends would call himself a private - non professional - risky investor?........

After some hesitation and discussion, probably all of them will answer something like:  'No, I would not dare to risk much money, I put most of my savings in a 'safe - as possible - bank account'.

Than, your next question is: "Who owns a house?"
Now, probably more than 60% of your friends will raise their finger......

Congratulations! Now you may congratulate this 60% of your friends with the fact that they are probably a more risk taking investor than an average pension fund, because they are most likely (by far) overfunded  in the asset category "Housing".

After grasping the point of your little quiz, most of your friends will first laugh, than think, and after a while some of them will ask you what they should do about being a Kamikaze-investor?

Now you get to the tricky part of being an actuary:

  1. Never tell anyone what to do, 
  2. Just show them the possible scenarios
  3. Point out and quantify the risks, and 
  4. Help them take their own decisions 

House-Pricing
 A lot of research has been done around House pricing and risk.

Although their seems to be a positive relationship between interest rate and housing-price growth, the housing risk is much more complicated than that.

Also housing prices differ strongly by country, as the next Economist table shows:



And because as actuaries, we're little Kamikaze-investors as well, the Economist has developed an interactive application to get sight at the housing-price development in your country relative to others.

Nov 17, 2010

How to prevent cutting pension benefits?

Continuing increase of lifespan, low interest rates and stock market under-performance are the cause of pension fund's funding ratios (FR) falling to a level of underfunding (< 100%).

Sure..., it's questionable whether valuing assets an liabilities at market value is the best way to value a pension fund (after all, a 'run on the pension fund' is not possible!). However, changing a pension fund's 'valuing method' to a more artificial method (e.g. 5 years average risk free discount rate) seems no realistic option to prevent underfunding. It would be perceived as a cosmetic brew and no solution at all for sponsors that have to consolidate pension obligations in their balance sheet.

Left without alternatives, pension funds are forced by law (and the regulator) to take action. There seems to be no other choice, than to 'cut pension rights'....  Or is there?

Conditional Benefits
A quite simple and effective solution is to split up current an future Pension Benefits (PB) in a guaranteed (certain) part PBcertain (99,9% confidence level) and a conditional part PBconditional .

The Liabilities of the the conditional part Lcond, can be used to act as a Reserve to guarantee the liabilities of the guaranteed pension benefits  Lcertain. In this approach all inflation, longevity and investment results are absorbed by the conditional part Lcond.
As a consequence, the funding ratio (FR) of the pension fund gets 'cured'....

Let's see how this turns out for a healthy pension fund without a shortage:


What in fact is happening here, is that we use the cooperational characteristics of a pension fund to finance its own equity (Reserve + Lcond). As no shareholders are involved, all equity is owned by the members of the pension fund, who profit not by means of dividend, but in the form of conditional pension benefits.

Now have a look at that same pension fund with a shortage on basis of conditional pension benefits:




Undoubtedly this 'new pension model' situation looks much better than the old model and certainly better than the pension balance sheet after cutting pension benefits:

Just imagine what 'reforming a pension fund on basis of conditional pension rights' could mean for your pension fund.

When life gets difficult, we have to turn to simple actuarial solutions....

Nov 5, 2010

How Rewards Pay Out

Let's take the 'Candle Test' as constructed by the psychologist Karl Duncker (1930).

Just take a look at the materials on the left picture.

A candle, a box of thumbtacks, and a book of matches.

Here's the simple task:

Attach the candle to the wall so that it doesn't drip onto the table below.

(Please, don't read any further until you solved this challenge....)

Solution
Here's the solution:


Empty the box with thumbtacks. Place the candle in the emptied box. Fix that box to the wall using the thumbtacks. Place the candle in the box.

If you managed to find this solution (without cheating) within 4 minutes, you're still an enlightened actuary.

If not? Don't mind, things will get better after reading this blog.

To find the solution you had to overcome what is called “functional fixedness”: You had to see beyond the thumbtack box as purely a container for the thumbtacks.

Rewarding Performance
In the sixties Sam Glucksberg used the 'Candle Test' to test the impact of extrinsic motivational factors on the problem solving ability.

Glucksberg created two groups of participants. The first group was told they would be timed to establish norms for how long it would typically take people to solve this sort of puzzle. The second group of participants were offered $5 each, if the time they took to solve the problem was in the top 25% of all those tested. The fastest achievement would be rewarded with $20.

The outcome of this experiment was that it took the extrinsically incentivized second group on average three and a half minutes longer to solve the problem. Obviously the incentives narrowed the participants minds and blocked them to think literally 'out of the box'....

From this experiment it became clear that rewards fail and work contrarily in case of complex situations.

Similar experiment....
Then, Glucksberg took a similar experiment in a slightly different way.
He presented two new groups the situation on the left picture.
Can you predict the outcome this time?

This time, the rewarded group defeated the non-incentivized group by miles....

Why???? Because the tacks were OUT of the box !!!!

By placing the thumbtacks out of the box and placing the thumbtack box empty on the table, Glucksberg had changed the problem.

Instead of achieving a heuristic task (i.e. a complex task that requires analysis and experimenting with possibilities to develop a solution), the problem was reduced to a more algorithmic problem (i.e. the solution comes down to a set of simplistic steps down a single pathway to one conclusion).

Conclusion
To summarize: financial short-term rewarding of complex tasks leads to output reduction instead of a better performance.

More than actuaries, professionals like quants, investment managers and bank managers are rewarded on short-term output, while - at the same time - their professional challenges and objectives are complex like a Gordian knot.


A way out
If we want to get out of the current economic crisis, we'll have to stop rewarding short term results one way or the other. Our complete (economic) system should be rebased on rewarding long(er) sustainable results and well calculated risk. Don't wait any longer, just start today at your department.

Excuses....
The issue of "not getting the 'right' professionals if we don't pay enough" is a fable. No matter how professionals like CEOs, Bank managers or actuaries are: if they just go for the short-term money and aren't intrinsically motivated to make this world a little better with their gifts and skills, please let them leave.

Tip: Include rewarding in your risk models!

Let's conclude with an interesting video by Dan Pink who examines the puzzle of motivation, explaining that traditional rewards aren't always as effective as we think.




Related/Used sources:
- Carrots and sticks
- Functional_fixedness