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It strikes me as puzzling that you place your weight behind the projection of a long-term positive impact of the economy, compared to your rejection of Stern's projection of long-term negative impact on the economy. Favouring one truth above another is, as you might say, a prime example of the truth versus propaganda problem. Your bet that positive economic impact will renounce us of any possible climatic change is as singularly unconvincing as the stock-broker who is whistling on his way to Wall Street on the morning of October 29, 1929. Vaclav Klaus: My criticism of Stern Report's conclusions - and I am not alone in it - is based on serious economic arguments, not on aprioristic statements. I will give just one example. When you mention Wall Street in your question, you probably understand the concept of the discount rate. It is one of the crucial variables of any economy and its importance grows the more we go into inter-temporal analysis. Analysing the whole 21st century, as Mr Stern does, suggests that the significance of the proper level of chosen discount rate is fatal. Many economists strongly oppose the very low level of discount rate Mr Stern uses for his modelling simulations. The low level of discount rate means that the future is as big as the present or that anything existing now will be as big in the year 2100 as now. This is ridiculous. Will the banknote of 1000 nomination (in your South African rands or in US dollars) be as big, as relevant, as important in the year 2100 as it is now? I am sorry to say that Mr Stern assumes exactly that.
It strikes me as puzzling that you place your weight behind the projection of a long-term positive impact of the economy, compared to your rejection of Stern's projection of long-term negative impact on the economy. Favouring one truth above another is, as you might say, a prime example of the truth versus propaganda problem. Your bet that positive economic impact will renounce us of any possible climatic change is as singularly unconvincing as the stock-broker who is whistling on his way to Wall Street on the morning of October 29, 1929.
Vaclav Klaus: My criticism of Stern Report's conclusions - and I am not alone in it - is based on serious economic arguments, not on aprioristic statements. I will give just one example. When you mention Wall Street in your question, you probably understand the concept of the discount rate. It is one of the crucial variables of any economy and its importance grows the more we go into inter-temporal analysis. Analysing the whole 21st century, as Mr Stern does, suggests that the significance of the proper level of chosen discount rate is fatal. Many economists strongly oppose the very low level of discount rate Mr Stern uses for his modelling simulations.
The low level of discount rate means that the future is as big as the present or that anything existing now will be as big in the year 2100 as now. This is ridiculous. Will the banknote of 1000 nomination (in your South African rands or in US dollars) be as big, as relevant, as important in the year 2100 as it is now? I am sorry to say that Mr Stern assumes exactly that.
Sigh. Didn't have the proper moment to formulate my thoughts into a question.
Not time left now to do an analysis on his very economic reply. Interesting though that the answer is dedicated to explaining why Stern is wrong and not why his belief must be right.
I think what Klaus is saying is that the money you'd spend on mitigation today can be best invested to obtain high [higher than Stern's assumed discount rate] long-term returns and the proceeds used to pay for reparation of any damage, at a profit [the profit coming from the difference between the yield of your investment and Stern's discount rate].
What is Stern's discount rate, and how does that compare to projections of real GDP growth? Can the last politician to go out the revolving door please turn the lights off?
I'll give you two hamburgers tomorrow for one hamburger today... The difference between theory and practise in practise ...
how do we pay them back? The difference between theory and practise in practise ...
See this old NYT article on the topic.
Now if you look at the areas where climate change will cause damages, you have to ask whether these are subject to inflation at all, or if they'd sooner become worth more.
The discount rate, in other words, needs to be deconstructed.
Vaclav Klaus: I ask myself several questions. Let's put them in the proper sequence: Is global warming a reality? If it is a reality, is it man-made? If it is a reality, is it a problem? Will the people in the world, and now I have to say "globally", better-off or worse-off due to small increases of global temperature? If it is a reality, and if it is a problem, can men prevent it or stop it? Can any reasonable cost-benefit analysis justify anything - within the range of current proposals - to be done just now? Surprisingly, we can say yes - with some degree of probability - only to the first question. To the remaining three my answer is no. And I am not alone in saying that. We are, however, still more or less the silent or silenced majority.
Klaus outlines the problem which remains the problem in Climate Science - but then spins it out of control.
I strongly feel it has not been possible to convincingly show how CO2 relates and scales to other climate forcings and hence how large its sensitivity is. The knowledge on the system as a whole is to this day incomplete.
But: Anthropogenic CO2 leads to warming. End of discussion. Yet because Klaus lodges to the above problem, he spins all of the global warming into other contributing factors - it makes him a classic denialist. Here's my thing: It does not matter anymore to what level CO2 scales - we know it is a greenhouse gas, the current warming is causing enough imbalances on this overcrowded planet, let's not even risk another contributor to forcings especially if we don't understand what it exactly does.
Perhaps I should have poured that into a question...
[2.] If it is a reality, is it man-made?
IPCC scientists feel somewhat differently about this since the last report considers as very probable (>90% certainty) that greenhouse gases are the cause of most of the warming incurred over the last 50 years. This of course doesn't mean that our knowledge of the forcings is complete.
Klaus, like all the other deniers, conveniently uses all the various stages of denial in the course of an argument, which shows they know nothing and yet, refuse everything. The comment about the silenced majority is pure demagoguery (besides being factually wrong): as if a "silenced majority" could be expected to have an opinion differing from that of the scientists on a topic as complex as climate change.
The discount rate is an aprioristic statement about the future. Stern makes an aprioristic statement, and so does Klaus. It's anybody's guess whose guess is correct.
Klaus chooses to concentrate on the discount rate and ignores the value at risk, which has a lot to do with the uncertainty in the estimation of the appropriate discount rate.
Underestimating the discount rate is like taking the lower end of a confidence interval, which is the proper thing to do when calculating value at risk. Can the last politician to go out the revolving door please turn the lights off?
I was at a seminar last week where large deviations theory was briefly mentioned as part of the discussion of estimating value at risk and the expected shortfall. The speaker is a senior researcher with a large international investment bank.
The problem with large deviation theory, according to this guy, is that it only works for the very tail, but that means in practice you don't have a lot of data to fit the tail distribution. Can the last politician to go out the revolving door please turn the lights off?
Migeru and Pierre, thanks!
Mandelbrot claimed that scaling laws where better than Gauss, can be calibrated, and incur manageable computing costs, but I don't think anyone has looked into it on the industry-scale. I'll dig a link Pierre
Specially impressive is the centenial chart of stock markt without 10 largest daily changes. Note they tend to be seriously down-biased. Pierre
For most insurance applications, we would expect a decreasing unit hazard functton. That is, as we move to higher and higher layers, the chance of a partial loss would decrease. For instance, if we consider a layer such as $10,000,000 xs $990,000,000 we would expect that any loss above $990,000,000 would almost certainly be a full-limit loss. This would imply h (y) ~ 0. The decreasing hazard function is not what we generally find in the exponential family. For the Normal and Poisson, the hazard function approaches 1, implying that full-limit losses become less likely on higher layers - exactly the opposite of what our understanding of insurance phenomena would suggest. The Negative Binomial, Gamma and Inverse Gaussian distributions asymptotically approach constant amounts, mimicking the behavior of the exponential distribution The table below shows the asymptotic behavior as we move to higher attachment points for a layer of width w. DistributionLimiting Form of h (y)Comments Normallim h(y) = 1No loss exhausts the limit Poissonlim h (),) = I Negative Bmomiallim h,(y) = I - ( I - p ) " Gammalim h(y) = I-e "''°'~' Inverse Gausstanlim h(y) = I-e -''a°''~ Lognormallim h(v) = 0Every loss ts a full-limit loss From this table, we see that the members of the natural exponential family have tail behavior that does not fully reflect the potential for extreme events in high casualty insurance. It would seem that the natural exponential distributions used with GLM are more appropriate for insurance lines without much potential for extreme events or natural catastrophes.
The decreasing hazard function is not what we generally find in the exponential family. For the Normal and Poisson, the hazard function approaches 1, implying that full-limit losses become less likely on higher layers - exactly the opposite of what our understanding of insurance phenomena would suggest. The Negative Binomial, Gamma and Inverse Gaussian distributions asymptotically approach constant amounts, mimicking the behavior of the exponential distribution The table below shows the asymptotic behavior as we move to higher attachment points for a layer of width w.
From this table, we see that the members of the natural exponential family have tail behavior that does not fully reflect the potential for extreme events in high casualty insurance. It would seem that the natural exponential distributions used with GLM are more appropriate for insurance lines without much potential for extreme events or natural catastrophes.
Sorry the layout is crappy, had to rework an OCR-ed pdf. But the general idea seems to be that if it's linear, then you don't have a fat tail. I don't know if there is any kind of proof of this or of something heuristically similar (I'm by no mean a statistician) Pierre
I could suggest a correction to this in public, but then I'd have to kill you ;-) Can the last politician to go out the revolving door please turn the lights off?
Do you suggest that there are places where the computing power is much greater than the average bank (that I know, my previous job had more computing power than meteo france and the french dod combined, my new place is a lot more frugal), or that your fund developed some non-gaussian models of risk that can be valued as efficiently as the gaussian with "reasonable" computing power ? Pierre
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