Showing posts with label model. Show all posts
Showing posts with label model. Show all posts

Jun 12, 2010

Actuarial Model World Cup 2010 Winner

In 'The Actuary June 2010', Greg Becker (actuary) and Arminder Kainth (annuities pricing analyst) present the outcome of an actuarial model they developed, to  predict the probability of a country winning the Fifa World Cup 2010.

With Brazil as a clear winner, here's the outcome:



Perhaps trading on the World Cup 2010 Bet Market can become a new interesting alternative for traditional investment categories....
Anyhow, let's hope (fingers crossed) that actuaries are right and Brazil, Germany, Italy and England all end in the semi-finals. In this case we'll ask both actuarial whiz kids to develop a new actuarial investment model to settle (for ever!) the everlasting bonds-stocks discussion....

Place your own (free) bet
Meantime if you want to place your World Cup bets for free, join The Actuary World Cup PredictorPro game in association with Star Actuarial. For your chance to win an iPad register at Predictorpro.
Start right away, because betting already started....

Used Sources:
- The Actuary: Article 'World Cup fever' (pdf)
- The Actuary:Who will win the World Cup?
- Free bet at Predictorpro

Related:
- Estimating the Real Rate of Return on Stocks Over the Long Term (2001)

- Pension Fund Investments: Stocks or Bonds? (2004)
- Social Insecurity? (2008)

Sep 7, 2009

Swine Flu Counter update Sept 2009

Here you'll find the September 2009 update of the

Global Swine Flu Counter


Although there is still an increasing risk of underreporting, the counter has been renewed on basis of the latest available global reports as provided by Wikipedia/ECDC.

Swine Flu under Control?
The September 2009 developments suggest the Swine Flu development is under control, as the reported infections changed from a exponential growth recent months, to more linear growth in August 2009. In September the increase of infections was already declining.

New Model
The above developments are the main reason why data in the Swine Flu calculator have now been modelled by a logistic function.
Well considered curve fitting at ZunZun, showed a Gompertz function (with offset) resulted in a satisfying approximation :



Life actuaries will be familiar with good old Gompertz. The Gompertz equations are - by the way - also used to model Plant Desease Progres.

The number of death have now been modelled ruffly as 1.8% of the infected people a month earlier [Death=0.018*I(t-30)]

Results update
The results the new approximation show that the number of reported infections increases asymptotically towards a limit of about 323,000.

Correspondingly, the number of death, , increases to a limit of ruffly 6000.

All provided the actual controlled development continues and no new mutation of the H1N1 will develop in the next months.....

Risk
The risk of underreporting is not negligible . Modeling on basis of excluding the September data would result in a limit of 528,000 infects and about 9500 deaths. We'll just have to wait how H1N1 develops.....
But as becomes clear, the explosion of swine flue cases looks under control.

If necessary, the counter will be updated again on a on a regular basis. The latest data you'll find in this XLS spreadsheet.

Install Swine Flu Counter
How to implement this Swine Flu Counter on your web site?

  • Put the next HTML-script (without the outer quotes) just before the end of the body tag:' <script language="javascript" type="text/javascript" src="http://sites.google.com/site/boooming/actuary/swine-flu-2009-update1.js"> </script>'

  • Put the next HTML-line (without the outer quotes) where you want the Swine Flu table to appear on your site :
    ' <div id="swineflutable"></div> '

  • Ready!


Mar 28, 2009

Model Collective Behavior?

Take a look at the next picture:

It's clear that the little fish here, have a problem.

What's also clear, is that random actions of an individual fish are not likely going to change the situation.


In the next picture, by coordinating behavior, a way has been found to solve 'the problem' :



This solution looks very simple, the question is how to organize this kind of collective "big fish" behavior?

The problem is that often first movers will not benefit from a collective approach:

It turns out that one way to get individuals to coordinate their behavior is through morality.

Interested?
In an excellent essay called A Business Plan for Catalyzing Collective Action , The Point explanes how how these cooperative mechanisms can be created.

Actuarial Models
Collective (organizing) mechanisms are important stuff for actuaries. For example, they play an essential role with regard to all kind of solidarity aspects in pension- and insurance-contracts.

Moreover, collective rational or even emotional behavior often plays a decisive role in our society, as may be clear from the 2009 credit crisis turmoil and the escalating bonus madness.

Be aware, study "collective behavior mechanisms" and take them into account when you set up your actuarial risk model.

Dec 17, 2008

Credit Crisis Predicted

Lyndon LaRouche, economist, long-range forecaster, risk manager 'avant la lettre' and one of the initiators behind the SDI-project (Strategic Defense Initiative) in the 80s.

With firm quotes like "there has been no economic growth on this planet, since the end of the 1960s. None, if you measure the right magnitudes", he takes stand in the sometimes overoptimistic and misleading world we've created.

Back in 1995, in Germany, he stated "We are at the end of an epoch".

He warned that a global financial bankruptcy and collapse would be under way and introduced in an econometric form his 'famous' "Typical Collapse Function" or "Triple Curve"to illustrate that power statement.

In his daring view, he describes the interplay of the three curves (non mathematical directionalities) that characterize the collapse process:
  1. Physical-economic input/output (bottom curve)
    The productivity and functioning of the physical economy, upon which all human existence depends;
  2. Monetary aggregates (middle curve)
    The increase in monetary aggregates (approximately represented by money supply measures; injections)
  3. Financial aggregates (upper curve)
    Growth—which can become hyperbolic growth—in financial aggregates of all kinds: run-up of debts and other obligations, speculation in currencies, stock markets, futures (derivatives), etc.

As in the case of a "typical collapse function," the interaction of the upper two curves sucks the underlying physical economy dry.

But at a certain critical point (around 2000 in the USA), no matter how much money is injected in the economy, the financial bubbles cannot be kept aloft! The rate of rate of growth of monetary aggregates becomes higher than the rate of rate of growth for financial aggregates. In graphical terms, this is the "inevitable crossover" point of the middle, monetary curve, breaking up through the top financial curve.

Although this looks like intuitive econometric science, LaRouche illustrates this with some striking examples.

In the year 2000 LaRouche stated that compared with a worldwide GDP of about $41 trillion, the total amount of financial aggregate in short-term obligations was over $400 trillion. In other words, at least 10 times the amount of the total annual product of the world as a whole at that time. "

In 2008 he publishes in 'The Time Has Come for a New System':
  • We are a credit system, not a monetary system.
  • Outstanding obligations: $1.4 quadrillion, derivatives, short-term obligations of speculative nature
  • This mess is coming down.
  • System will be put into bankruptcy, by governments

And than to realize that there are still leading prominent professionals that like to make us believe that it's just some limited subprime issue. Regretful, it's the other way around. Subprime will just turn out to be the proverbial little stroke that'll fell the great oak.

Read more about LaRouche Writings

Let's hope that LaRouche is a pessimistic man....