May 13, 2012

Strategy Outsourcing

Most Pension Fund Boards are sincerely convinced they define their strategy on basis of their own insights.....

In practice, the leading Investment Consultant - as trusted advisor - often has a strong influence on the board.

Very often the authority of the Investment Consultant is so dominant that it's "not done", permitted or 'seen as wise' to discuss the advice of the consultant. Nor is a second opinion seen as appropriate, as it might be regarded as a matter of distrust in the trusted advisor relationship.....

Unfortunately in these situations it is quite often the Investment Consultant, instead of the Pension Find Board, who implicitly defines the Strategic Plan, Risk Appetite and Asset Mix......

Of course this doesn't apply for YOUR Pension Fund....

In this case DON'T view or download the next power point presentation 'On how Strategic Advice got Outsourced'....
Strategy Outsourcing

Scroll through the presentation by pressing the right arrow button.

Confidence Fallacy
Last but not least: As most Investment Consultants advice more than one pension fund, it is not unlikely that a lot of pension funds get more or less the same kind of advice. This might give pension fund board members a false notion of confidence with regard to their (own) chosen investment strategy.

All the more reason to be extra vigilant that the chosen strategy is finally YOUR strategy and not that of your consultant......

Remember.....  Never Ever Outsource your Strategy!

Related Links 
- Download PDF: On how Strategic Advice got Outsourced
- Donald Duck Search Images 

May 8, 2012

Standard Deviation, a Poor Measure of Risk

As actuaries and/or risk managers we've been professionally brought up with some deep-rooted assumptions about what 'risk' is....

Difference between Science and Religion
One of my favorite statements is that there is no fundamental difference between a religion (believe) or science. Both depend on a number of axioms, the basic assumptions. Assumptions, we 'believe' or 'take for granted' on basis of our intuition and/or personal experience. Only by means of those axioms we're able to 'prove' other theorems in our system or model.

So what we have to conclude is that what we prove in our our statistical models, is as strong as the foundation (assumptions) on which our models are based.

Main problem is that the assumptions in our models are so trivial and often so frequently implicitly used, that we don't realize their impact. We've developed a blind spot.......


Risk Axioms

With regard to 'risk' I'll just discuss two of the most dangerous (risky ;-) ) assumptions on which most of our investment risk models are build:
  1. Risk = Standard Deviation (SD)
  2. Mean Reversion
    The theory that a given value will continue to return to an average value over time, despite fluctuations above and below the average value.


Explication
Risk is a much wider concept than just 'standard deviation'.
First of all there's an 'impact difference' between a downside risk and an upside risk. In general, what we perceive as risk is more in terms of downside risk. But yet..., we keep measuring and concluding  about risk on basis of 'standard deviation'.

Why SD Fails as a measure of risk
To illustrate the failure of Standard deviation (SD) as a measure of risk, take a look at the next example in which we compare the performance of two different asset classes, AC-I and AC-II, with the next characteristics:
  • AC-I and AC-II have the same average (compound) return of 2.5% per year
  • AC-I has a Standard Deviation of  13,9% and AC-II a SD of 27%
  • AC-I has a maximum deviation of minus 40.0% and AC-II of 76.3%



By definition AC-II is more risky than AC-I.....

However.., a two year old child will point out AC-I as far more risky than AC-II. First, downside deviations are  more risky than upside deviations and secondly, the 'incremental downside risk' of AC-II can be 'managed' much more effective than the 'crash downside risk' of AC-I.

Conclusion
The times of modeling risk on basis of Standard Deviation are over. We need more sophisticated models that describe and measure risk multidimensional and with respect to downside risk and not upward potential.

Let's conclude with a final question to test your 'stock crash insight'.

What was the worst performance of the S&P 500 and in which year?

Click on 'answer' to find out!


ANSWER

Read more about the S&P 500 performance on: S&P 500 Five Worst One Year Performances (in %)


Related Links
- Actuary-Info: Equity Returns and Mean Reversion (2010)
- Risk is more than standard deviation (2005)
- Our Monetary Blind Spot
- Black Ducks Comic Strips

Apr 29, 2012

Why Life Cycle Funds are Second Best

Life Cycle Funds (LCFs) are seen as the ideal solution for pension planning. Unfortunately they aren't..... They're Second Best....

Pension Funds solutions (PFs), are far more superior to LCFs, as will be shown in this blog with regard to the performance of a pension plan.

Life Cycle
A Life Cycle approach presumes that, while your young and still have a long time before retirement, you can risk to invest more than an average pension fund in risky assets like stocks, with an assumed higher long term return than bonds,

As you come closer to the retirement age, you'll have to be more careful and decrease your stock portfolio incrementally to zero in favor of (assumed) more solid fixed income asset classes like government bonds.

A well known classic life cycle investment scheme is "100-Age", where the investment in stocks depends on your age. Percentage stocks = 100 -  actual age.
E.g.: If you're 30 years old, your portfolio consists of 70% stocks and 30% bonds.

Here's what the average return of a life cycle '100-Age' investment looks like when you start your pension plan at the age of 30 and assume a long term 7% average yearly return on stocks and 4% on bonds.
The return of this life cycle fund is compared to a pension fund with continuously 50% in stocks.


Key question is however, is the younger generation also risk minded and the older generation risk averse?

As often in life and also in this case, what would be logical to expect, turns out just to be a little bit more complicated in practice....

Misunderstanding:Younger people have a high risk attitude
Research by Bonsang (et al.; 2011) of the University of Maastricht and Netspar shows that on average 25% of the 50+ generation is willing to take risk.
 The research report shows evidence  that  the  change  in  risk  attitude  at  older age  is driven by 'cognitive decline'.  About 40 to 50% of the change in risk attitude can be attributed to cognitive aging.

Unfortunately other recent research also shows that only 30% of people under age 35 say they're willing to take substantial or above-average risks in their portfolios (source:Investment Company Institute).



This implies that -  although they would theoretically be better of on the long run - younger people will certainly not put all their eggs in one basket, by investing all or most of their money in stocks.

Pension Fund Investment Horizon
In contrast to individual pension member investors, a pension fund has a long term perspective of more than 20-50 years as new members (employees) keep joining the pension fund in the future. Therefore a pension fund can keep its strategic allocation in stocks relatively constant over time instead of decreasing it.


This implies that a pension fund on the long term has an advantage (longer horizon) above a life cycle fund. Let's try to find the order of magnitude of this difference.


Comparing a Life Cycle fund with a Pension Fund
First of all, we have to take into account that younger people will not over invest in stocks.

Let's assume:
  • A 30 year old 'pension plan starter', retiring at age 65
  • Contribution level   (€, $, £, ¥,): 1000 a year
  • A long term 7% average yearly return on stocks and 4% on bonds
  • Life Cycle Investment scheme
    A modest 50% stocks, with a yearly 2% decrease as  from age 50
  • Pension Fund Investment Scheme
    A constant 50% investment in stocks (and 50% in bonds)
  • Inflation 3%, Pension and Contribution indexation: 3%

 This leads to the next yearly return of these portfolios, as follows:



To find out the overall difference in return between LCF en PFS, we calculate the Return on Investments (ROI) of both investment schemes with help of the:


The outcome looks like this:

As you can see the ROI outcomes (left axis) on the investments (yearly contribution) from 'dying age' 65 to age 69 are negative as the cumulative payed pensions (compared to your contribution) didn't (yet) result in a positive balance. Or to put it in another way, if you die between age 65 and 69, you died too early to have a positive return on your paid contribution.

Overperformance
The right axis shows the difference between the LC ROIs and the PF ROIs.
As you may notice,  the pension fund has a structural yearly overperformance of more than 0.3%  and an average overperformance between 0.4% and 0.5% per year.

Overperformance expressed in pension benefits
Expressed in terms of yearly pensions the differences are as follows:


Investment SchemePension at 65Relative
LC 55year -2% p/y1167383%
LC '100-Age'1230493%
PF 50% stocks13172100%


For a 40 year old pension plan starter, the differences are:

Investment SchemePension at 65Relative
LC 55year -2% p/y535982%
LC '100-Age'557892%
PF 50% stocks6040100%


Conclusion
Investing in life cycle funds ends up in a 7% to 18% lower pension than investing in a pension fund with 50% investment in stocks.


So..., Be wise and choose a pension fund for your investment if you can!


Aftermath
Of course, every pension vehicle has its pros and cons ... So do Life Cycle AND Pension Funds.....



Related Links/Sources
- CNNMoney:The young and the riskless shun the market (2011)
- Cognitive Aging and Risk Attitude (2011)
- America’s Comm. to Ret.Security: Investor Attitudes and Action (2012) 
“Saving/investing over the life cycle and the role of pension funds” (2007)
- Excel Pension Calculator Blog
- Benny AND Boone Comic Strips
- Study: Public employee pensions a bargain (2011)