Archive for the ‘Assumptions’ category

Top 10 RISKVIEWS Posts of 2014 – ORSA Heavily Featured

December 29, 2014

RISKVIEWS believes that this may be the best top 10 list of posts in the history of this blog.  Thanks to our readers whose clicks resulted in their selection.

  • Instructions for a 17 Step ORSA Process – Own Risk and Solvency Assessment is here for Canadian insurers, coming in 2015 for US and required in Europe for 2016. At least 10 other countries have also adopted ORSA and are moving towards full implementation. This post leads you to 17 other posts that give a detailed view of the various parts to a full ORSA process and report.
  • Full Limits Stress Test – Where Solvency and ERM Meet – This post suggests a link between your ERM program and your stress tests for ORSA that is highly logical, but not generally practiced.
  • What kind of Stress Test? – Risk managers need to do a better job communicating what they are doing. Much communications about risk models and stress tests is fairly mechanical and technical. This post suggests some plain English terminology to describe the stress tests to non-technical audiences such as boards and top management.
  • How to Build and Use a Risk Register – A first RISKVIEWS post from a new regular contributor, Harry Hall. Watch for more posts along these lines from Harry in the coming months. And catch Harry on his blog, http://www.pmsouth.com
  • ORSA ==> AC – ST > RCS – You will notice a recurring theme in 2014 – ORSA. That topic has taken up much of RISKVIEWS time in 2014 and will likely take up even more in 2015 and after as more and more companies undertake their first ORSA process and report. This post is a simple explanation of the question that ORSA is trying to answer that RISKVIEWS has used when explaining ORSA to a board of directors.
  • The History of Risk Management – Someone asked RISKVIEWS to do a speech on the history of ERM. This post and the associated new permanent page are the notes from writing that speech. Much more here than could fit into a 15 minute talk.
  • Hierarchy Principle of Risk Management – There are thousands of risks faced by an insurer that do not belong in their ERM program. That is because of the Hierarchy Principle. Many insurers who have followed someone’s urging that ALL risk need to be included in ERM belatedly find out that no one in top management wants to hear from them or to let them talk to the board. A good dose of the Hierarchy Principle will fix that, though it will take time. Bad first impressions are difficult to fix.
  • Risk Culture, Neoclassical Economics, and Enterprise Risk Management – A discussion of the different beliefs about how business and risk work. A difference in the beliefs that are taught in MBA and Finance programs from the beliefs about risk that underpin ERM make it difficult to reconcile spending time and money on risk management.
  • What CEO’s Think about Risk – A discussion of three different aspects of decision-making as practiced by top management of companies and the decision making processes that are taught to quants can make quants less effective when trying to explain their work and conclusions.
  • Decision Making Under Deep Uncertainty – Explores the concepts of Deep Uncertainty and Wicked Problems. Of interest if you have any risks that you find yourself unable to clearly understand or if you have any problems where all of the apparent solutions are strongly opposed by one group of stakeholders or another.

Free Download of Valuation and Common Sense Book

December 19, 2013

RISKVIEWS recently got the material below in an email.  This material seems quite educational and also somewhat amusing.  The authors keep pointing out the extreme variety of actual detailed approach from any single theory in the academic literature.  

For example, the table following shows a plot of Required Equity Premium by publication date of book. 

Equity Premium

You get a strong impression from reading this book that all of the concepts of modern finance are extremely plastic and/or ill defined in practice. 

RISKVIEWS wonders if that is in any way related to the famous Friedman principle that economics models need not be at all realistic.  See post Friedman Model.

===========================================

Book “Valuation and Common Sense” (3rd edition).  May be downloaded for free

The book has been improved in its 3rd edition. Main changes are:

  1. Tables (with all calculations) and figures are available in excel format in: http://web.iese.edu/PabloFernandez/Book_VaCS/valuation%20CaCS.html
  2. We have added questions at the end of each chapter.
  3. 5 new chapters:

Chapters

Downloadable at:

32 Shareholder Value Creation: A Definition http://ssrn.com/abstract=268129
33 Shareholder value creators in the S&P 500: 1991 – 2010 http://ssrn.com/abstract=1759353
34 EVA and Cash value added do NOT measure shareholder value creation http://ssrn.com/abstract=270799
35 Several shareholder returns. All-period returns and all-shareholders return http://ssrn.com/abstract=2358444
36 339 questions on valuation and finance http://ssrn.com/abstract=2357432

The book explains the nuances of different valuation methods and provides the reader with the tools for analyzing and valuing any business, no matter how complex. The book has 326 tables, 190 diagrams and more than 180 examples to help the reader. It also has 480 readers’ comments of previous editions.

The book has 36 chapters. Each chapter may be downloaded for free at the following links:

Chapters

Downloadable at:

     Table of contents, acknowledgments, glossary http://ssrn.com/abstract=2209089
Company Valuation Methods http://ssrn.com/abstract=274973
Cash Flow is a Fact. Net Income is Just an Opinion http://ssrn.com/abstract=330540
Ten Badly Explained Topics in Most Corporate Finance Books http://ssrn.com/abstract=2044576
Cash Flow Valuation Methods: Perpetuities, Constant Growth and General Case http://ssrn.com/abstract=743229
5   Valuation Using Multiples: How Do Analysts Reach Their Conclusions? http://ssrn.com/abstract=274972
6   Valuing Companies by Cash Flow Discounting: Ten Methods and Nine Theories http://ssrn.com/abstract=256987
7   Three Residual Income Valuation Methods and Discounted Cash Flow Valuation http://ssrn.com/abstract=296945
8   WACC: Definition, Misconceptions and Errors http://ssrn.com/abstract=1620871
Cash Flow Discounting: Fundamental Relationships and Unnecessary Complications http://ssrn.com/abstract=2117765
10 How to Value a Seasonal Company Discounting Cash Flows http://ssrn.com/abstract=406220
11 Optimal Capital Structure: Problems with the Harvard and Damodaran Approaches http://ssrn.com/abstract=270833
12 Equity Premium: Historical, Expected, Required and Implied http://ssrn.com/abstract=933070
13 The Equity Premium in 150 Textbooks http://ssrn.com/abstract=1473225
14 Market Risk Premium Used in 82 Countries in 2012: A Survey with 7,192 Answers http://ssrn.com/abstract=2084213
15 Are Calculated Betas Good for Anything? http://ssrn.com/abstract=504565
16 Beta = 1 Does a Better Job than Calculated Betas http://ssrn.com/abstract=1406923
17 Betas Used by Professors: A Survey with 2,500 Answers http://ssrn.com/abstract=1407464
18 On the Instability of Betas: The Case of Spain http://ssrn.com/abstract=510146
19 Valuation of the Shares after an Expropriation: The Case of ElectraBul http://ssrn.com/abstract=2191044
20 A solution to Valuation of the Shares after an Expropriation: The Case of ElectraBul http://ssrn.com/abstract=2217604
21 Valuation of an Expropriated Company: The Case of YPF and Repsol in Argentina http://ssrn.com/abstract=2176728
22 1,959 valuations of the YPF shares expropriated to Repsol http://ssrn.com/abstract=2226321
23 Internet Valuations: The Case of Terra-Lycos http://ssrn.com/abstract=265608
24 Valuation of Internet-related companies http://ssrn.com/abstract=265609
25 Valuation of Brands and Intellectual Capital http://ssrn.com/abstract=270688
26 Interest rates and company valuation http://ssrn.com/abstract=2215926
27 Price to Earnings ratio, Value to Book ratio and Growth http://ssrn.com/abstract=2212373
28 Dividends and Share Repurchases http://ssrn.com/abstract=2215739
29 How Inflation destroys Value http://ssrn.com/abstract=2215796
30 Valuing Real Options: Frequently Made Errors http://ssrn.com/abstract=274855
31 119 Common Errors in Company Valuations http://ssrn.com/abstract=1025424
32 Shareholder Value Creation: A Definition http://ssrn.com/abstract=268129
33 Shareholder value creators in the S&P 500: 1991 – 2010 http://ssrn.com/abstract=1759353
34 EVA and Cash value added do NOT measure shareholder value creation http://ssrn.com/abstract=270799
35 Several shareholder returns. All-period returns and all-shareholders return http://ssrn.com/abstract=2358444
36 339 questions on valuation and finance http://ssrn.com/abstract=2357432

I would very much appreciate any of your suggestions for improving the book.

Best regards,
Pablo Fernandez

Getting Paid for Risk Taking

April 15, 2013

Consideration for accepting a risk needs to be at a level that will sustain the business and produce a return that is satisfactory to investors.

Investors usually want additional return for extra risk.  This is one of the most misunderstood ideas in investing.

“In an efficient market, investors realize above-average returns only by taking above-average risks.  Risky stocks have high returns, on average, and safe stocks do not.”

Baker, M. Bradley, B. Wurgler, J.  Benchmarks as Limits to Arbitrage: Understanding the Low-Volatility Anomaly

But their study found that stocks in the top quintile of trailing volatility had real return of -90% vs. a real return of 1000% for the stocks in the bottom quintile.

But the thinking is wrong.  Excess risk does not produce excess return.  The cause and effect are wrong in the conventional wisdom.  The original statement of this principle may have been

“in all undertakings in which there are risks of great losses, there must also be hopes of great gains.”
Alfred Marshall 1890 Principles of Economics

Marshal has it right.  There are only “hopes” of great gains.  These is no invisible hand that forces higher risks to return higher gains.  Some of the higher risk investment choices are simply bad choices.

Insurers opportunity to make “great gains” out of “risks of great losses” is when they are determining what consideration, or price, that they will require to accept a risk.  Most insurers operate in competitive markets that are not completely efficient.  Individual insurers do not usually set the price in the market, but there is a range of prices at which insurance is purchased in any time period.  Certainly the process that an insurer uses to determine the price that makes a risk acceptable to accept is a primary determinant in the profits of the insurer.  If that price contains a sufficient load for the extreme risks that might threaten the existence of the insurer, then over time, the insurer has the ability to hold and maintain sufficient resources to survive some large loss situations.

One common goal conflict that leads to problems with pricing is the conflict between sales and profits.  In insurance as in many businesses, it is quite easy to increase sales by lowering prices.  In most businesses, it is very difficult to keep up that strategy for very long as the realization of lower profits or losses from inadequate prices is quickly realized.  In insurance, the the premiums are paid in advance, sometimes many years in advance of when the insurer must provide the promised insurance benefits.  If provisioning is tilted towards the point of view that supports the consideration, the pricing deficiencies will not be apparent for years.  So insurance is particularly susceptible to the tension between volume of business and margins for risk and profits,
and since sales is a more fundamental need than profits, the margins often suffer.
As just mentioned, insurers simply do not know for certain what the actual cost of providing an insurance benefit will be.  Not with the degree of certainty that businesses in other sectors can know their cost of goods sold.  The appropriateness of pricing will often be validated in the market.  Follow-the-leader pricing can lead a herd of insurers over the cliff.  The whole sector can get pricing wrong for a time.  Until, sometimes years later, the benefits are collected and their true cost is know.

“A decade of short sighted price slashing led to industry losses of nearly $3 billion last year.”  Wall Street Journal June 24, 2002

Pricing can also go wrong on an individual case level.  The “Winners Curse”  sends business to the insurer who most underimagines riskiness of a particular risk.

There are two steps to reflecting risk in pricing.  The first step is to capture the expected loss properly.  Most of the discussion above relates to this step and the major part of pricing risk comes from the possibility of missing that step as has already been discussed.  But the second step is to appropriately reflect all aspects of the risk that the actual losses will be different from expected.  There are many ways that such deviations can manifest.

The following is a partial listing of the risks that might be examined:

• Type A Risk—Short-Term Volatility of cash flows in 1 year

• Type B Risk—Short -Term Tail Risk of cash flows in 1 year
• Type C Risk—Uncertainty Risk (also known as parameter risk)
• Type D Risk—Inexperience Risk relative to full multiple market cycles
• Type E Risk—Correlation to a top 10
• Type F Risk—Market value volatility in 1 year
• Type G Risk—Execution Risk regarding difficulty of controlling operational
losses
• Type H Risk—Long-Term Volatility of cash flows over 5 or more years
• Type J Risk—Long-Term Tail Risk of cash flows over 5 years or more
• Type K Risk—Pricing Risk (cycle risk)
• Type L Risk—Market Liquidity Risk
• Type M Risk—Instability Risk regarding the degree that the risk parameters are
stable

See “Risk and Light” or “The Law of Risk and Light

There are also many different ways that risk loads are specifically applied to insurance pricing.  Three examples are:

  • Capital Allocation – Capital is allocated to a product (based upon the provisioning) and the pricing then needs to reflect the cost of holding the capital.  The cost of holding capital may be calculated as the difference between the risk free rate (after tax) and the hurdle rate for the insurer.  Some firms alternately use the difference between the investment return on the assets backing surplus (after tax) and the hurdle rate.  This process assures that the pricing will support achieving the hurdle rate on the capital that the insurer needs to hold for the risks of the business.  It does not reflect any margin for the volatility in earnings that the risks assumed might create, nor does it necessarily include any recognition of parameter risk or general uncertainty.
  • Provision for Adverse Deviation – Each assumption is adjusted to provide for worse experience than the mean or median loss.  The amount of stress may be at a predetermined confidence interval (Such as 65%, 80% or 90%).  Higher confidence intervals would be used for assumptions with higher degree of parameter risk.  Similarly, some companies use a multiple (or fraction) of the standard deviation of the loss distribution as the provision.  More commonly, the degree of adversity is set based upon historical provisions or upon judgement of the person setting the price.  Provision for Adverse Deviation usually does not reflect anything specific for extra risk of insolvency.
  • Risk Adjusted Profit Target – Using either or both of the above techniques, a profit target is determined and then that target is translated into a percentage of premium of assets to make for a simple risk charge when constructing a price indication.

The consequences of failing to recognize as aspect of risk in pricing will likely be that the firm will accumulate larger than expected concentrations of business with higher amounts of that risk aspect.  See “Risk and Light” or “The Law of Risk and Light“.

To get Consideration right you need to (1)regularly get a second opinion on price adequacy either from the market or from a reliable experienced person; (2) constantly update your view of your risks in the light of emerging experience and market feedback; and (3) recognize that high sales is a possible market signal of underpricing.

This is one of the seven ERM Principles for Insurers

Embedded Assumptions are Blind Spots

October 28, 2012

Embedded assumptions are dangerous. That is because we are usually unaware and almost always not concerned about whether those embedded assumptions are still true or not.

One embedded assumption is that looking backwards, at the last year end, will get us to a conclusion about the financial strength of a financial firm.

We have always done that.  Solvency assessments are always about the past year end.

But the last year end is over.  We already know that the firm has survived that time period.  What we really need to know is whether the firm will have the resources to withstand the next period. We assess the risks that the firm had at the last year end.  Without regard to whether the firm actually is still exposed to those risks.  When what we really need to know is whether the firm will survive the risks that it is going to be exposed to in the future.

We also apply standards for assessing solvency that are constant.  However, the ability of a firm to take on additional risk quickly varies significantly in different markets.  In 2006, financial firms were easily able to grow their risks at a high rate.  Credit and capital were readily available and standards for the amount of actual cash or capital that a counterparty would expect a financial firm to have were particularly low.

Another embedded assumption is that we can look at risk based upon the holding period of a security or an insurance contract.  What we fail to recognize is that even if every insurance contract lasts for only a short time, an insurer who regularly renews those contracts is exposed to risk over time in almost exactly the same way as someone who writes very long term contracts.  The same holds for securities.  A firm that typically holds positions for less than 30 days seems to have very limited exposure to losses that emerge over much longer periods.  But if that firm tends to trade among similar positions and maintains a similar level of risk in a particular class of risk, then they are likely to be all in for any systematic losses from that class of risks.  They are likely to find that exiting a position once those systematic losses start is costly, difficult and maybe impossible.

There are embedded assumptions all over the place.  Banks have the embedded assumptions that they have zero risk from their liabilities.  That works until some clever bank figures out how to make some risk there.

Insurers had the embedded assumption that variable products had no asset related risk.  That embedded assumption led insurers to load up with highly risky guarantees for those products.  Even after the 2001 dot com crash drove major losses and a couple of failures, companies still had the embedded assumption that there was no risk in the M&E fees.  The hedged away their guarantee risk and kept all of their fee risk because they had an embedded assumption that there was no risk there.  In fact, variable annuity writers faced massive DAC write-offs when the stock markets tanked.  There was a blind spot that kept them from seeing this risk.

Many commentators have mentioned the embedded assumption that real estate always rose in value.   In fact, the actual embedded assumption was that there would not be a nationwide drop in real estate values.  This was backed up by over 20 years of experience.  In fact, everyone started keeping detailed electronic records right after…… The last time when there was an across the board drop in home prices.

The blind spot caused it to take longer than it should have for many to notice that prices actually were falling nationally.  Each piece of evidence was fit in and around the blind spots.

So a very important job for the risk manager is to be able to identify all of the embedded assumptions / blind spots that prevail in the firm and set up processes to continually assess whether there is a danger lurking right there – hiding in a blind spot.

You Must Abandon All Presumptions

August 5, 2011

If you really want to have Enterprise Risk Management, then you must at all times abandon all presumptions. You must make sure that all of the things to successfully manage risks are being done, and done now, not sometime in the distant past.

A pilot of an aircraft will spend over an hour checking things directly and reviewing other people’s checks.  The pilot will review:

  • the route of flight
  • weather at the origin, destination, and enroute.
  • the mechanical status of the airplane
  • mechanical issues that may have been improperly logged.
  • the items that may have been fixed just prior to the flight to make certain that system works
  • the flight computer
  • the outside of the airplane for obvious defects that may have been overlooked
  • the paperwork
  • the fuel load
  • the takeoff and landing weights to make sure that they are within limits for the flight

Most of us do not do anything like this when we get into our cars to drive.  Is this overkill?  You decide.

When you are expecting to fly somewhere and there is a last minute delay because of something that seems like it should have really been taken care of, that is likely because the pilot finds something that someone might normally PRESUME was ok that was not.

Personally, as someone who takes lots and lots of flights, RISKVIEWS thinks that this is a good process.  One that RISKVIEWS would recommend to be used by risk managers.

THE NO PRESUMPTION APPROACH TO RISK MANAGEMENT

Here are the things that the Pilot of the ERM program needs to check before taking off on each flight.

1.  Risks need to be diversified.  There is no risk management if a firm is just taking one big bet.

2.  Firm needs to be sure of the quality of the risks that they take.  This implies that multiple ways of evaluating risks are needed to maintain quality, or to be aware of changes in quality.  There is no single source of information about quality that is adequate.

3.  A control cycle is needed regarding the amount of risk taken.  This implies measurements, appetites, limits, treatment actions, reporting, feedback

4.  The pricing of the risks needs to be adequate.  At least if you are in the risk business like insurers, for risks that are traded.  For risks that are not traded, the benefit of the risk needs to exceed the cost in terms of potential losses.

5.  The firm needs to manage its portfolio of risks so that it can take advantage of the opportunities that are often associated with its risks.  This involves risk reward management.

6.   The firm needs to provision for its retained risks appropriately, in terms of set asides (reserves) for expected losses and capital for excess losses.

A firm ultimately needs all six of these things.  Things like a CRO, or risk committees or board involvement are not on this list because those are ways to get these six things.

The Risk Manager needs to take a NO PRESUMPTIONS approach to checking these things.  Many of the problems of the financial crisis can be traced back to presumptions that one or more of these six things were true without any attempt to verify.

Frequency vs. Likelihood

June 26, 2011

Much risk management literature talks about identifying the frequency and severity of risks.

There are several issues with this suggestion.  It is a fairly confused way of saying that there needs to be a probabilistic measure of the risk.

However, most classes of risks – things like market, credit, natural catastrophe, legal, or data security will not have a single pair of numbers that represent them.  Instead they will have a series of pairs of probabilities and loss amounts.

The word frequency adds another confusion.  Frequency refers to observations.  It is a backwards looking approach to the risk.  What is really needed is likelihood – a forward looking probability.

For some risks, all we will ever have is an ever changing frequency.

So what do we do?  With some data in hand and a view of the underlying nature of the risk, we form a likelihood assumption.  With that assumption, we can then develop an actual gain and loss distribution that gives our best picture of the risk reward trade-offs.

For example, the following is three sets of observations of some phenomena.

On this example, the 1s represent the incidence of major loss experiences.  There are at least four ways that these observations might be interpreted.

  1. One analyst might say that the average of all 60 observations is 2 (or a 10% frequency) so that is what they will use to project the forward likelihood of this problem.
  2. Another analyst might say that they want to be sure that they account for the worst case, so they will focus on the first set of observations and use a 15% likelihood assumption.
  3. A third analyst will focus on the trend and make a likelihood assumption below 5%.
  4. The fourth analyst will say that there is just not enough consistent information to form a reliable likelihood assumption.

Then the next 20 observations come up all zeros.  How do the four analysts update their likelihood assumptions?

In fact, this illustration was developed with random numbers generated from a binomial distribution with a 5% likelihood.

The math is simple to determine that probability of frequency observations from 20 trials with a likelihood of 5% are:

      • 0 – 36%
      • 1 – 38%
      • 2 – 19%
      • 3 –  6%
      • 4 –  1%

To be responsible in setting your likelihood assumptions, you should be fully aware of the actual distributions of possibilities based upon the frequency observations that you have to work with. So the first set of observations had a 6% likelihood, the second with 2 observations had a 19% likelihood and the third with 1 observations had a 38% likelihood.

That is when we know the actual likelihood.  Usually you do not.  But you can look at this sort of table for each possible assumption for likelihood.

Here we actually had 60 observations.  The same sort of table for the 60 trials and for different assumptions of likelihood:

This type of thinking will only make sense for the first analyst above.  The other three will not be swayed.  But for that first analyst, some more detailed reflection can help them to better understand that their assumptions of likelihood are just that, assumptions; not facts.

Echo Chamber Risk Models

June 12, 2011

The dilemma is a classic – in order for a risk model to be credible, it must be an Echo Chamber – it must reflect the starting prejudices of management. But to be useful – and worth the time and effort of building it – it must provide some insights that management did not have before building the model.

The first thing that may be needed is to realize that the big risk model cannot be the only tool for risk management.  The Big Risk Model, also known as the Economic Capital Model, is NOT the Swiss Army Knife of risk management.  This Echo Chamber issue is only one reason why.

It is actually a good thing that the risk model reflects the beliefs of management and therefore gets credibility.  The model can then perform the one function that it is actually suited for.  That is to facilitate the process of looking at all of the risks of the firm on the same basis and to provide information about how those risks add up to make up the total risk of the firm.

That is very, very valuable to a risk management program that strives to be Enterprise-wide in scope.  The various risks of the firm can then be compared one to another.  The aggregation of risk can be explored.

All based on the views of management about the underlying characteristics of the risks. That functionality allows a quantum leap in the ability to understand and consistently manage the risks of the firm.

Before creating this capability, the risks of each firm were managed totally separately.  Some risks were highly restricted and others were allowed to grow in a mostly uncontrolled fashion.  With a credible risk model, management needs to face their inconsistencies embedded in the historical risk management of the firm.

Some firms look into this mirror and see their problems and immediately make plans to rationalize their risk profile.  Others lash out at the model in a shoot the messenger fashion.  A few will claim that they are running an ERM program, but the new information about risk will result in absolutely no change in risk profile.

It is difficult to imagine that a firm that had no clear idea of aggregate risk and the relative size of the components thereof would find absolutely nothing that needs adjustment.  Often it is a lack of political will within the firm to act upon the new risk knowledge.

For example, when major insurers started to create the economic capital models in the early part of this century, many found that their equity risk exposure was very large compared to their other risks and to their business strategy of being an insurer rather than an equity mutual fund.  Some firms used this new information to help guide a divestiture of equity risk.  Others delayed and delayed even while saying that they had too much equity risk.  Those firms were politically unable to use the new risk information to reduce the equity position of the group.  More than one major business segment had heavy equity positions and they could not choose which to tell to reduce.  They also rejected the idea of reducing exposure through hedging, perhaps because there was a belief at the top of the firm that the extra return of equities was worth the extra risk.

This situation is not at all unique to equity risk.   Other firms had the same experience with Catastrophe risks, interest rate risks and Casualty risk concentrations.

A risk model that was not an Echo Chamber model would be any use at all in these situation above. The differences between management beliefs and the model assumptions of a non Echo Chamber model would result in it being left out of the discussion entirely.

Other methods, such as stress tests can be used to bring in alternate views of the risks.

So an Echo Chamber is useful, but only if you are willing to listen to what you are saying.


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