Dec 7, 2009

Insolvency and GDP

Global insolvency rises further in 2009 and will stabilize at a high level in 2010.
Those are the main conclusions of the world’s leading credit insurer Euler Hermes.

Euler Hermes is forecasting a 33% rise in corporate insolvencies worldwide in 2009.

In 2008, half the global increase in insolvencies resulted from financial restrictions whereas in 2009 the main factor has been the economic recession. Due to unemployment and weak recovery, business insolvencies will remain at high levels in 2010.

Insolvency growth champions with rocket growth of 75% or more are Spain, Ireland and the Netherlands (as well as the Baltic countries).


Insolvencies have soared by more than 35% in the United States and Northern and Eastern Europe.

Relationship GDP & Insolvency

The relationship between GDP and insolvency is quit interesting.

Corporate insolvency turns out to be different from one country to another.

Although there are differences, the change in insolvencies over time - rather than their absolute numbers - turns out to be strongly related to the change in GDP.




In short one might conclude:


Declining GDP implies inclining insolvencies


Strong local differences
The strong GDP-Insolvency relationship of the Global Insolvency Index (GII) is also - in a slightly different way- visible on zone or country level.


For each of the 33 countries that are analyzed by Euler Hermes, the insolvency index is calculated using a basis of 1997=100.

Next, the GII is calculated as the weighted sum of the national indices.

Each country is weighted according to its share of total aggregate GDP (at current exchange rates).



As actuaries we're all interested in in 'credit spreads'...

Questions:
  1. Is there any relationship between 'credit spreads' and 'insolvency rates'?
  2. Would insolvency rates influence our business in any way....?

Sources:
- Press release, Euler Hermes Nov. 17, 2009
- Insolvency Outlook Euler, Hermes February 2009

Nov 29, 2009

Actuarial Health Care Reform Puzzle

From a European perspective it's hard to understand why the US Health Care Reform creates such a fuzz.

Behind Health Care Reform
At first sight one might think American values were somehow at stake, as UCLA's Dr. Marc Nuwer, a leading expert on national health care reform, stated back in 2008:

  • "To heal our ailing health care system, we need to stop thinking like Americans."

  • "Americans prize individual choice and resist limiting care"

As one-sixth of Americans are uninsured and especially elderly people are in need of good (insured) health care, one would expect this group to support this new health reform. Think again, the majority of elderly people voted against a guarantee of health insurance for all Americans:


Not a surprise for actuaries of course, because we were already aware of the interesting age-distribution of the uninsured.



Recently, Tyler Cowen, a economics professor at George Mason University additionally stated : Further health care reform doesn’t now seem to promise much to old people, except spending cuts on them. Given their limited time horizons, old people don’t so much value systemwide improvements, which invariably take some while to pay off.

For those of you who are interested in the background and consequences of pay offs regarding limited time horizons, (generation) discount rates and 'Gamma Discounting', the article Caring about the Distant Future: Why It Matters and What It Means from professor Tyler Cowen is a joy to read.

Certainly a 'must read' for actuaries.


Future Health Care Reform
Anyhow, the House of Representatives passed the sweeping health care bill recently.

Puzzle is that this bill has nowhere to go in the Senate, as the stumbling block is that government will have to compete with the private insurers.

The solution to this problem is as simple as can be:

Implement the headlines of the Dutch Health Care Model

Key elements of the new (2006) Dutch Health Insurance Act are:
  • All adults are obliged to buy health insurance and can choose any insurer
  • Children (under 18 years) are insured for free
  • Low income groups receive financial compensation by tax reduction
  • All insurers must offer a (governm. def.) policy to anyone who applies
  • Basic benefit package is almost comprehensive
  • Insurers get compensation for taking on higher risk patients from the risk equalization fund
  • Insurers can offer complementary health insurance packages under free market conditions
  • Consumers have the right to change insurer at the end of every calendar year if not satisfied or if they change employer
  • Insurers have the role of prudent purchasers of health care
    (value for money)
  • Providers are encouraged by insurers to deliver high quality care at low costs

In a 2009 Irish (Dublin) Health Actuary Seminar called 'More for less', the Dutch health actuary Enne Osinga explains more of the consequences of this new (2006) Dutch Health Care Model in a presentation called: The Dutch Experience .

I trust the US succeeds in making this important turn around!

Sources:
- Tyler Cowen: Caring about the Distant Future: Why It Matters..
- Economics
- Yahoo
- CNN
- UCLA
- Health Coverage & Uninsured (2009, 2007)
- RIVM Article:Regulated competition behind the dykes?
- Enne Osinga: The Dutch Experience

Nov 27, 2009

Invest or laugh

Every crisis generates his own new quotes. Currently, investment quotes are the top.

Perhaps two of the best investment quotes ever are from AIG Vice Chairman Jacob Frenkel:

"The left side of the balance sheet has nothing right and the right side of the balance sheet has nothing left. But they are equal to each other. So accounting-wise we are fine."

--------------------------------------------

"Credit markets do not function. Why not, because the word credit comes from credibility"


But there's more... A nice summary of investment ROFL quotes can be find on Ian Thomson's blog Investor Jokes.

As actuaries, let's profit from Ian's latest insights and gain some extra education points by studying the next new investment definitions:

  • A long term investment: Short term investment that failed.
  • Momentum Investing: The fine art of buying high and selling low.
  • Value Investing: The art of buying low and selling lower

Probably investors and actuaries will have a hard time understanding each other, as the difference between them is in the 'tail' .....

Also large-cap fund managers have a hard time these days. No wonder everybody starts looking for a small-cap fund manager....
But how do you find one? Ians' answer is simple: Find a good large-cap fund manager, and wait...

Anyhow, keep up your good mood and laughs, as more investment 'animals' will show up next months.....


Let's conclude this blog with an old actuarial warning:

"Where there's smoke, someone gets fired"

P.S. For some more 'serious' investment quotes take a look at 52 Must Read quotes from the legendary Investor Warren Buffett. I'll quote some of the best here:
  • I never attempt to make money on the stock market. I buy on the assumption that they could close the market the next day and not reopen it for five years.
  • If past history was all there was to the game, the richest people would be librarians (actuaries?).
  • It takes 20 years to build a reputation and five minutes to ruin it. If you think about that, you’ll do things differently.
  • It’s better to hang out with people better than you. Pick out associates whose behavior is better than yours and you’ll drift in that direction.
  • It’s far better to buy a wonderful company at a fair price than a fair company at a wonderful price.
  • Price is what you pay. Value is what you get.
  • Risk comes from not knowing what you’re doing.
  • Risk is a part of God’s game, alike for men and nations.

How can actuaries profit from Buffett's quotes?

Sources:
- Greekshares Jokes
- Ian's Investor Jokes
- Warren Buffett: 52 Must Read quotes

Nov 20, 2009

CERA: Actuaries on a new track

Actuaries are taking a new step towards professional risk management.

After the U.S. started in 2007 the initiative for this new direction in the actuarial profession, this month the Society of Actuaries (SOA) signed a treaty with 13 other international actuarial organizations to establish the Chartered Enterprise Risk Analyst (CERA) as the globally recognized enterprise risk management (ERM) credential.



The designation will recognize actuaries globally who meet stringent education requirements in ERM and are governed by a strong code of professional conduct. The “CERA” letters after an actuary’s name indicates to the business world that there is no other type of risk professional better equipped to take a 360-degree view of an organization’s risk profile.

CERAs don’t merely speak to what we can lose, they focus on what we can gain.

Enterprise Risk Management isn't just about dealing with financial risk. ERM is an attitude, a new way of thinking. CERAs will become the boards most reliable advisors, they can't do without.

Sources:
- SOA
- CERA

Nov 17, 2009

Reward Wisdom

We all know the quote

'If you pay peanuts you get monkeys'

Unfortunately the opposite is also true:

"If you pay bonuses, you get donkeys"



There is nothing against an attractive yearly bonus reward, based on challenging but nevertheless realistic (long term) goals in line with a confirmed and balanced risk approach.

Excessive bonus rewards however, seduce people to inferior (selling) methods or taking unacceptable (covered) risks.

An excessive bonus reward system always poisons the company and attracts the 'wrong' people. Your company doesn't need high risk takers or 'luck seekers'. Think twice....

Nov 4, 2009

Risk IQ Test

What's your Risk IQ?

In a few minutes you'll know by taking this RISK IQ Test.

Actuaries are often born CROs (Chief Risk Officers), so this test will probabely be a peace of cake for any actuary with CRO aspirations.....

Simply scroll through the next Powerpoint presentation from Fintools.

Each slide contains a multiple choice question.
Think about the answer and then scroll (click on the right part of the presentation) to the next slide for the final answer...
RiskIQ

Hope you succeeded....

If not... get some training at Fintools

Original Source: Fintools

Oct 31, 2009

The first Actuary

As the story goes, insurance began around 1688 at a coffeehouse in London called Lloyds, where shipman discussed and divided their risks.

That 'explains' the birth of non life insurance.

But what about life insurance?

Who developed the first life table?

Answers...
The answer to this question depends on who you ask...
  • Definitely Graunt in 1662 (statistical analyzes of data)
  • Surely De Witt in 1671 (life insurance tables)
  • Undoubtedly Halley: 1693 (life insurance tables)

Depending on what you define as a life table, answering this question often leads to a never ending semantic discussion.

Don't worry, there's help... In his Google-book, "A history of probability and statistics and their applications before 1750", Anders Hald explains the origin and development of life tables.

First Life Tables
An indeed, the 'first' life tables, based on more or less empiric data and interest rates were developed at the end of the 17th century.
The first actuary....
However, already in the 3rd century the Roman jurist Ulpian devised a table for the legal conversion of a life annuity to an annuity certain.
It was pointed out by Greenwood that the valuation (duration) of the annuities was deliberately chosen to high, in order to protect the interests of the legal heir.

This would implie that Ulpian not only did a tremendous job by estimating life annuities, but also developed and applied the first primitive 'Solvency Zero' principles...

With his 'simple table', Ulpian was more than ahead of his time.

So, we may rightfully conclude that the one and only first actuary was a jurist: Domitius Ulpianus, alias Ulpian

Strange that it took more than 1500 years to develop more sophisticated life- and annuity tables.

Related links & Sources:

Oct 24, 2009

Pension Fund Market Valuation ParaDox

Is Market Valuation (MV) the right tool for pension funds?

Mid 2009, the new appointed ABP chairman Nijpels and - previously - the ABP CFO ten Damme (picture on the right), stated that the relatively new method of MV is inadequate for pension funds.

Both think that valuation of pension funds could be better based on a (seven year) moving average interest rate.
Nijpels en Ten Damme are supported in their view by Albert Röell, Chairman of KAS BANK, who advises the Dutch regulator DNB to reassess its policy.

Nevertheless DNB doesn't seem to respond.
Neither Roëll nor the world's third-biggest pension fund gets an answer. Is ABP crying over spilt milk?

Why MV?
At first sight, there seems nothing wrong in calculating the value of a pension fund, on MV basis. Market (consistent) valuation implies that the value of an asset or liability is defined by it's market price. If the market is too thin, a mark-to-model approach can be used....

Clearly MV increased the transparency and accountability of pension funds. However, 2008/2009 show that MV, based on the actual term structure of interest rates, leads to excessive volatility in funding ratios.

Is MV the best method?
Of course MV can be a best practice method in helping to define the pension fund value in case of a merger, a takeover or with regard to managing assets. But is MV also the best method for managing the pension fund as a whole, from a board, regulator or 'pension fund member' perspective?
  • Future certainty
    The first fundamental question is :

    can we define the value of long-term
    ( 60 years or more) cash flows at all?


    The answer is: No, we can't!. Just take a look at an average CFO, who's proud to present his next quarterly company result with 60% certainty. What would be the certainty of the long-term company result of - let's say - 20 years ahead. Exactly: Almost zero.

    It's impossible for anyone, no Nostradamus Actuary included, to predict the compound and correlated long term effects of interest rate, stock market, derivates, inflation, salary increases, mortality, disability, longevity and costs. Therefore, if it's not possible....., don't pretent you can.

  • Pension fund: Not for Sale
    Second important subject for consideration is that a pension fund (in general) is not listed on the stock market. Also, in general, it is not for sale on the market. Therefore, the hourly, daily or monthly calculated MV is only of limited interest with regard to the pension fund's strategy, policy or control.

    Neither is MV the right base for monthly adjusting of the contribution rates, funding rates or indexation capacity.

Principles
Simply stated, it's important that a pension fund:
  1. can meet its obligations "on the long-term"
  2. is sufficiently liquid to pay his annuities "on the short-term"

Moving average
The first statement implies that if you take the funding ratio as steering/testing parameter (there are more!), there is - given the mentioned long term uncertainty - no other option than to base the valuation on a more (term dependent) 'moving average' of interest rates in combination with the moving average value development of other asset classes. The choice of the moving average period is critical.

Dead Money
Even more, if the pension fund is forced to act on basis of MV, it has to keep extra (non-volatile) buffers to withstand the possible effects of non-relevant short-term market fluctuations. On top of this many pension funds tried to downplay their indexation ambition.

The consequence of all this is that MV generates a substantial amount of structural "dead" capital into the balance sheet. "Dead" capital that - besides - is withdrawn from the national economy and therefore weakens the pension fund's country position in the international level playing field.

Paradoxical measures
In case - due to market developments - the MV goes down , short-term prudential constraints (as enforced or stimulated by the regulator) will moreover endanger the long-term objectives of pension funds. Consequently leading pension funds from the frying-pan into the fire.

There's another interesting aspect that pleads against MV. In general (Dutch) pension funds cannot go bankrupt, as they are allowed to cut back on the participants’ entitlements in extreme (emergency) situations. So the key question is what kind of minimum security level we enforce upon ourselves. Just an example to illustrate this:

Example
What would you prefer:
  1. 100% of the yearly pension that you have been promised, on basis of a 125% funding ratio
  2. 125% of the yearly pension that you have been originally promised, at a 100% funding ratio target

Remember there is no ultimate warranty whatsoever in either situation.

The only difference is that in scenario A the chance that your entitlements will be cut down is slightly smaller than in scenario B. But this last situation is as hypothetic as it can be, as contributions will be raised first, before any cut down scenarios will be considered.

So its better to use the funding ratio surplus for legalized controlled indexation and pension benefits improvement than as 'dead' money.

A final argument in the war against MV for pension funds is the next illustration .....

ParaDox
Let's take a look at a company called ParaDox.... ParaDox produces parasols (sunshades) for the high season.

In winter, ParaDox produces at full speed in order to achieve a top level inventory at the start of the summer.

In winter, however, hardly any parasols are sold. During this cold season the price of the parasols on the market (in the shops) drops to about 50% of the summer price. Even more, parasols sales go 80% down in winter (cf. long-term investment market).

If ParaDox would apply MV based techniques, it would have to depreciate their current stock to 50% of the (summer)value. Surely ParaDox would go bankrupt. No, every sensible human being, including actuaries, would decide that in this situation it's best to value the stock of ParaDox on basis of the 'moving average' (realized) sales price over one or more recent years.
N.B. Even if ParaDox would have one or two 'bad summers', deprecation would not be considered.

If in this ParaDox case it's clear that market valuation (i.c. deprecation) is unwise, the more it must be clear that in a company with long-term obligations and high uncertainties , like a pension fund is, it's naive to operate and steer on basis of MV.

Moving Average Period
Now that's illustrated that the Moving Average Method (MAM) is preferable above the MV method (MVM) for pension funds, there's still one thing to decide: the 'MAM period'.

If the MAM period is chosen too short, it will suffer the same disadvantages as the MVM.

If it's chosen too long, there's the risk of not being able to adapt fast enough to realistic contribution levels, if needed. In this situation there's also the risk of unintentional intergenerational financial effects. However, these effects can be yearly calculated and translated into a sound policy.

From this perspective it seems reasonable to fix the MAM periode to the average duration of nominal pension liabilities, which is (in The Netherlands) about fifteen years (in real terms, it is even longer).

Hope
Let's trust that DNB listens to ABP and KAS BANK, so that 'pension funds' and 'pension fun' become one again!

Related links:
- P&I/Watson Wyatt World 300 Largest Pension Funds
- Market-consistent valuation of pension liabilities (must read!)

Oct 22, 2009

Actuagram

If you want something to chew on, something that challenges your actuarial brain and associative power, try to solve the next Actuagram.
This actuarial brain teaser is a mix of an actuarial crossword puzzle and a cryptogram.

How to play the puzzle:
  1. Click on the word you would like to solve.
  2. Fill in your suggestion, click on OK
  3. Only if you do not know the answer, click on the 'solve button'

Can you manage, without using the 'solve button' ?

Congratulations! Actuaries, have fun!

[ If your browser doesn't allow you to play here, click on this link]

Actuagram

by Joshua Maggid
EclipseCrossword © 2000-2007




This interactive crossword puzzle requires JavaScript and a reasonably recent web browser, such as Internet Explorer 5.5
or later, Netscape 7, Mozilla, Firefox, or Safari. If you have disabled web page scripting, please re-enable it and refresh
the page. If this web page is saved to your computer, you may need to click the yellow Information Bar at the top of
the page to allow the puzzle to load.


Oct 17, 2009

Actuarial Sustainability Alarm

Recently the European Commission launched the 'Sustainability Report 2009", investigating the long-term (2010-2060)sustainability of public finances.

This report clearly shows the long-term economic effects of the aging society and the continuous increasing life expectancy.

Financing increasing pension and health costs in the next decades, will be a real challenge for almost all European countries. Even more, the current financial crisis and unsure financial outlook urge for severe short term measures in order to prevent much more unpleasant other measures in the next decades.

The report claims that the ability to meet public pensions liabilities is a higher long-term risk for governments than ever before and in most cases reform of member states’ pensions systems is 'must' and can no longer be delayed.

Although the report manly focuses on the increase (the so called delta) of the sustainability gap, I would like to take a look at the development of the aging costs in relation to the debt development of each country.

Development Aging costs
Let's start to take a look at the development of the public pensions liabilities (pension costs) and health costs from a slightly different angle as published in the report:

On average the total aging costs are increasing from 25% in 2010 to about 30% in 2060 on bases of a no-policy-change assumption.But there a countries (BE, EL, LU, SI) that grow way above this average to a level that's even above the current level of countries with high social standards, like Sweden and Finland.

To conquer this development, some member countries are trying to tackling the longevity issue by raising retirement ages.
Not only the pension costs increase, but also the projected long-term increase in healthcare spending is large and constitutes on its own a risk to sustainability.

Countries whose regimes are listed by the report as 'high-risk' in terms of sustainability are: The Czech Republic, Cyprus, Ireland, Greece Spain, Latvia, Lithuania, Malta, the Netherlands, Romania, Slovakia and the UK. In many countries the age-related expenditure is expected to climb quickly against existing financial imbalances.

Development gross debt ratio
As is clear from the next table, the mentioned next decades increase in health and pension costs, in combination with the unhealthy financial situation - due to the credit crisis - cumulates in a clear desperate debt situation for most of the European countries:

The table shows the government gross debt ratio in 2008 and 2009, and the projections for 2010, 2030 and 2060, once the costs of servicing debt and paying for age-related expenditure are taken into account.

As mentioned before, the long-term debt projections have been prepared under a no-policy-change assumption and in partial equilibrium. Given these assumptions, the projections are not robust forecasts and are not meant to be realistic scenarios of what may happen in the future.

The aim of the debt projections is to illustrate the long-term trends and the size of the required remedial action to avoid government debts to enter into an exponentially increasing spiral.

Actuary Involvement
It's clear that the debt and social costs developments are not heading in the right direction..... Actuary involvement to analyze, advice and create new social systems seems necessary.
Actuaries on the bridge, please!

Sources
- IPE
- EC
- Sustainability Report 2009
- Report 2009
- Download: Maggid Excel tables Aging Costs and Debt Development

Oct 15, 2009

Best Pension Country 2009

There's a small country somewhere on this globe, called The Netherlands......

This small country does not only turns out to be the European and (probably) World Health Leader 2009, but - by the way - also happens to be the first Pension World Leader 2009, according to a new global research by Mercer.

You might wonder, who's the leader of that small country near the sea? His name is Mr. Jan Peter Balkenende. He's Prime minister for more than 7 years, is said to have no charisma and has proved to be able to lead a country that's loaded with hair-splitters and complaining people who disagree with each other on every possible subject.

Opposite to other European presidents like Sarkozy (France) or Berlusconi (Italy), who perform strongly on basis of their charisma and seem mainly interested in the fair sex, the Dutch Prime Minister Balkenende - just like the German Prime Minister Angela Merkel - is a modest no-nonsense leader, who walks his talk and gets the job done.

For sure he would be the best European President kandidate, to lead Europe through difficult times ahead on basis of dialog, respect and agreement.

Mercer Global Pension Index
Back to the Mercer Global Pension Index outcome.
The research is a first attempt to objectively compare the retirement income systems of eleven countries spread across the world.

Countries where rated in five grades:

Grade Index value Description
A >80 A first class and robust retirement income system that delivers good benefits, is sustainable and has a high level of integrity
B 65–80 A system that has a sound structure, with many good features, but has some areas for improvement that differentiate it from an A-grade system.
C 50–65 A system that has some good features, but also has major risks and/or shortcomings that should be addressed. Without these improvements, its efficacy and/or long-term sustainability can be questioned.
D 35–50 A system that has some desirable features, but also has major weaknesses and/or omissions that need to be addressed. Without these improvements, its efficacy and sustainability are in doubt.
E <35 A poor system that may be in the early stages of development or a non-existent system.

The overall index value for each country represents the weighted average of the three sub-indices. adequacy, sustainability and Integrity.


Pension Index Outcome 2009
The results of the pension research clearly appoint The Netherlands as the undisputed Pension leader.


Remarkable however, is that none of the participating countries were classified with an A-grade (index value > 80). This can be easily explained by the fact that no one system is strong enough to withstand the challenges of an aging population.

Want to know more? Than listen to to Dr David Knox (WWP Mercer) discussing the Melbourne Mercer Global Pension Index




Or simply download the full report.

Interested in how The Netherlands 'did it'? Just contact Tim Burggraaf, one of the best worldwide consultants of Mercer in The Netherlands. Tim is a Master in Pensions and Life Assurance. No... he's not an actuary... but you wouldn't notice and moreover, he's one of the best interlocutors and speakers you can can get.

Sources :
- IPE
- Melbourne Mercer Global Pension Index

Oct 13, 2009

Humor: Actuary Solves Credit Crisis

One upon a time there was a small village depending on only one source of income, tourism... the only problem was - due to the 'crisis' - there were no tourists left...

Every villager had to borrow from an other in order to survive.. several months passed .. everyone felt miserable.

One day a cost conscious actuary, visiting a Risk Conference nearby, arrived in the village.

Heading for a cheap overnight stay, he booked a small room in the only available local hotel. He paid in advance with a 100 dollar note and went to his room to prepare for the conference.

Before the actuary could unpack his bags, the hotel owner had already taken the 100 dollar note, heading his way to pay the butcher.. to whom he owed precisely 100 dollar.

The butcher, in his turn, immediately ran off with the 100 dollar to see the local farmer and paid his debt for all the meat he'd been supplied with...

With the same 100 dollar note, the farmer immediately paid the seed salesman who, right at that time, was visiting the farmer to collect the unpaid 100 dollar bill.

Back in his hotel, the seed salesman closed the circle. In order to settle the hotel bill for that night, he dropped the 100 dollar note on the counter. Just at that moment, the actuary - who'd come down to tell the hotel owner that he didn't like his room - arrives at the counter, picks up his 100 dollar and disappears.

Nothing was spent,
nothing was gained,
nothing was lost.
Nonetheless, thanks to the actuary, nobody in the village had any debts!

Moral
This story shows why it's important for actuaries to attend Risk Conferences and illustrates how actuaries can actively contribute to solving the credit crisis.

Original Sources: Free after newciv, Dutch source Aardbron

Oct 12, 2009

Health Leadership 2009

The Netherlands win the 2009 Euro Health Consumer Index (EHCI), for the second year in a row.

Nevertheless, Denmark keeps its runner-up position from last year. Besides The Netherlands and Denmark there are other strong performers like Iceland, Austria and Switzerland, leaving the UK in a disappointing 14th position....

Index performance criteria
The EHCI 2009 groups 38 indicators of quality into six categories: Patient rights and information, e-Health, Waiting time for treatment, Outcomes, Range and reach of services provided and Pharmaceuticals.
Each sub-discipline is weighted for importance to provide the overall Index score.

HCP research director, Dr. Arne Bjornberg, states: The Dutch might have found a successful approach that combines competition for funding and provision within a regulated framework.

Effective Health (Actuarial) Principles
In actuarial context, the success of the Dutch health system is based on a few very simple principles:
  • Risk Solidarity
  • Risk Equalization
  • No Risk Selection
  • Free choice of Care Providers & Health Insurer
  • Transparent ranking of Care Providers on bases of cost & quality
  • Worldwide cover

The Dutch Health Care System
An excellent summary of the Dutch Health Care System can be viewed on YouTube:

Health care In the Netherlands


Of course the Dutch system is no panacea, there are also many challenges and disadvantages.

Just to mention some....



Nevertheless, the Dutch system can be an inspiring example for countries like the US and the UK.


Let's conclude with an interesting development. In an 2009 article called A Strategy for Health Care Reform, Michael E. Porter presents the principles for a new health system, based on the idea that the central focus must be on increasing value for patients.

Related downloads/sources:

Sep 28, 2009

Early Retirement hits Mortality

Do early pensioners live longer?

Or, to rephrase this: What's the influence of early retirement on mortality?

The answer has been given in a 2005 BMJ paper called:


In a long term (1973-2004) cohort research, the mortality of past Shell Oil employees,who retired at ages 55, 60, and 65, have been studied.

Outcome
The main outcome of this study is that subjects who retired early at 55 and who were still alive at 65 had a significantly higher mortality than those who retired at 65 (hazard ratio 1.37, 95% confidence interval 1.09 to 1.73).

After adjustment, mortality was similar between those who retired at 60 and those who retired at 65 (1.06, 0.92 to 1.22).

So we may (carefully) conclude that working longer, means living longer...

Another interesting question, that hasn't been answered yet, is:
'what's the influence of early retirement on our healthy life years...

Sep 17, 2009

Free Course Finance of Aging

The aging of the population raises numerous economic and financial issues for pension funds, insurance companies and governments.
To take wise decisions, expert knowledge in these organizations is crucial. To provide this knowledge a Dutch organization called Netspar initiated courses on an academic level.

Netspar is an independent network for research, education and knowledge exchange in the field of pensions, aging and retirement.

In 2009 Netspar introduced a new course Master's program Economics and Finance of Aging, that can also be followed individually or in tracks.

To make things even easier, Netspar developed the



Lans Bovenberg, professor ar the Tilburg University, introduces you in the interesting world of Economics and Finance of Aging.

This course is completely free and ca be viewed online.

So, whether you're an actuary or not, if you've got a few spare minutes left a day, don't miss this free course......

Sep 16, 2009

Polya: Actuaries Good or Bad

As an actuary, were you born 'Good' or 'Bad'? The answer to this question can be given with help of mathematics!

Let's start with a simple model. When you, as a prospective actuarial talent, were born, you had only a limited number of experiences. Let's assume you came to earth quite neutral, with one 'Good' (G) and one "Bad" (B) experience.
At this point in time, your (still unconscious) attitude and therefore expectation of a 'Good' (B) outcome of your next experience, will be 50%.

In line with the expression "You'll always reap what you sow" (Gal 6:7), or associative translated "You'll become what you X" (with X ='Think', 'Eat', 'Are', etc.)", your next experience will indeed turn out to be equally G or B.

Let's assume that providence decided, the outcome is G. Now you've become a more optimistic baby actuary. Your experience-bucket is now filled with two G's and one B (experience), so your subjective 'colored' outlook on G's is 66,66% (2/3=[2 G's/(2 G's + 1 B)]) . You also look back on a relatively Positive Life Score of PLS=66,66% G's.
Would you have experienced a 'B score' instead, it would be the other way around and as a potential pessimist your outlook and PLS would have been lowered to 33,33% .

But happily you're a 66,66% (!) G-Score-optimist and life goes on. According to the same principles, the probability of scoring a new G-experience is now 66,66% instead of 50%.

As you may already notice, your PLS will more and more develop according your personal historical G- an B-experience track record.

A few questions that may rise, are:
  • Does your Positive Life Score (PLS) has a limit? And if so, what's that limit?
  • Once you're in a pessimistic phase, what are the changes of getting out?

Here is were the help of a great mathematician, George Pólya,

comes in, by modeling the above situation in what is called:

Polya's Urn model
An urn contains G0 Green (Good) and B0 Black (Bad) balls. One ball is drawn randomly from the urn and is then placed back in the urn together with an (extra) ball of the same color.

Our Good&Bad exercise turns out to be a simplified two color Polya Urn Model (G0=1,B0=1) that is part of a large family of General Urn Models.

Properties
It turns out that this model has the following (translated)properties:
  • On any given moment in your life if you do not know what kind of balls have been drawing before, the expectation of drawing a Good or Bad ball (experience) is always G0 =G0/(G0 +B0) =50%.

  • On any given moment in your life, gaining a Good or a Bad experience depends on the track record of G&B experiences in your life. So if you've experienced G Good experiences and B Bad experiences, your changes of experiencing a next Good experience are equal to the track record of your Positive Life Score : PLS(G+B)=G/(G+B)

  • The relative influence of a G or B experience on the PLS decreases rapidly as the number of total experiences increases. Your PLS has a definitive limit in (life)time with equal changes of outcome on the interval [0,1].

  • As is clear from some simulations, the first 10 to 20 experiences in our life determine whether we'll become an optimist (PLS(∞)> 0.75) or an pessimist (PLS(∞)<0,25).









  • Moreover, the first 5 to 10 experiences in your life already determine the direction of our PLS in life. This means that our parents and teachers have an important role in guiding us in our baby and youngster phase to a positive balanced number of experiences (a more than average PLS).

    For example if on a given moment in life you have had 4 Bad experiences and 1 Good, the probability of having a next Good experience is 20%. What's more frustrating is that the probability in this case to get in three steps to a 50% level is only about 3% (=1/5*2/6*3/7) . This illustrates the heavy responsibility of our parents and teachers.

    That's why it's for example so difficult to change your religion. Once the first 50 religion experiences have been brought in by your parents, it's hard to change from Budha to Allah or Christ, or the other way around.

    The same is true with regard to our actuarial education and experience. Once we've experienced more than 10 years in a row that longevity increases slowly, it will hard to be convinced that longevity will explode one day. As a consequence, the way we are formed - per definition - causes that we will always underestimate the risk of a change, as we unconsciously relate risk more to our paste experience more than (we can) to the future. .

  • Once a more than average PLS in our life is achieved, we're more likely to absorb a Bad experience without getting unbalanced. Parents and teachers can 'let go'.

Keep in mind, Polya's Urn is only a think-model to help you to become aware of the important mechanisms that play a role in becoming 'who you are' or 'what you'll be'.

Change?
Once you become experienced in life and your PLS direction has been set, you can only change this by either a Professional De or Re-programming (PDR) or a, what is called, Life Changing Experience (LCE). In PDR Bad experiences are taken away (i.e. out of the urn) and replaced by Good experiences, to regain trust and a higher confidence (PLS) level. In LCE's, your environmental or physical circumstances suddenly chance in such a way that you are forced to experience only just B (or just G) experiences. Another LCE is created by the change of context. What before were B experiences now turn out to be G experiences (or the other way around).

What if?
There are many other aspects that could be studied in relation to the Polya model. For example:
  • What would be the effect if an experience is not just only Good or Bad, but a mix.
  • What if a 'Good experience' doesn't trigger extra positive confidence (an extra G) but a negative experience (an extra B).

The answer in both cases is that almost always the PLS-limit=50% !, in other words: You'll become average.

But how does a little bit of extra Bad (or Good) influence the PLS limit? If you want to experiment (online) and learn more about Good and Bad, go and visit


and look up the Math behind Polya's Urn (attachments).

Perhaps Polya's Urn is also a good start to model the stock market.
I'll leave that up to you.
Math helps us to discover who we are or what we become...

Sep 14, 2009

God must be an Actuary

Let's dive back in history and take a look at a unusual 'biblical' article in The Actuary of 1986 (Vol. 20, nr. 6 ; page 8).

In a amusing article Mark W. Campbell develops a simple lifespan equation with regard to our 'Greatn Grandfathers'.

This is the original (somewhat restyled) article:

You Should Live So Long

Sir:

In the January issue, Murray Projector quotes Genesis 6:3 as follows:

And the Lord said:My Spirit shall not abide in man forever, for that he also is flesh; therefore shall his days be a hundred and twenty years.’ “

Mr. Projector suggests the interpretation that 120 years is the maximum age or “omega” for man. This is an interesting idea when one considers the recorded life spans of Noah (of whose generation Genesis 6:3 speaks) and his descendants. The enclosed graph shows these life spans down to Moses, of whom Deuteronomy 34:7 states:

And Moses was a hundred and twenty years old when he died: his eye was not dim, nor his natural force abated.

The curve which has been fitted to the data is of the form y = A + B-C-X. With “A” set equal to 120, the R- squared of the fit is approximately 92% (the R-squared can be increased slightly using a lower value of “A”). This is a remarkably good fit to biological data.

I am not sure what all this means, except that, as always, there is more to the Bible than meets the eye. I welcome the comments of other readers.

Mark W. Campbell




In his original article Campbell doesn't mention the values of the variables A,B and C. However, in the following magazine of The Actuary (nr. 7), Samuel L. Tucker, defines those variables in an equation that 'fits the Campbell curve quite well' :
y=120+830*1.407 -x

the variable 'x' stands for the 'xth generation'.

In the same article, nr. 7, Tucker concludes that the Campbell equation overestimates the lifespan and therefore fails in case of earlier great-great grandfathers, back until Adam. He challenges Campbell to develop an integral equation regarding all 26 generation.

26 Generation Equation
Well, here it is. The formula, a logistic equation fitted at ZunZun, is now expressed into our modern western time line (t):
With a= 792.40, b= 1307204394.9 and
c= -0,00881292

In graphics:

The simple formula and good fit undoubtedly prove that:

God must be an Actuary! ;-)

The results in table form:


De equation is again modelled with an age limit of 120, as it appears that, although longevity in modern times is increasing, the 'omega age' (120) seems hard to beat.

More information about our great-great grandfathers at:


For those who are interested, please download the corresponding spreadsheet.

Have fun in combining actuarial math and the bible.......