2010-06
Argentina achieves new debt swap
"Creditors agreed to exchange two thirds of its outstanding bad debt for new bonds, in a deal worth around $12bn. The deal means Argentina has now settled 92% of the bad debt left from its sovereign default in 2001. The government hopes it will now be able to raise new international loans at better interest rates."
Thursday, June 24, 2010
Friday, June 18, 2010
Wednesday, June 16, 2010
Benoit Mandelbrot - The MisBehaviour of Markets
Benoit Mandelbrot is regarded by many as the father of fractal mathematics.
He is highly critical of what can be described as the naive use of the normal distribution in much modern quantitative financial theory and practical modelling.
Mandelbrot considers that the normal distribution underestimates the actual frequency of extreme events.
In his excellent book THE MISBEHAVIOUR OF MARKETS he makes the case for the use of fractal based tools in the realm of quantitative financial analysis.
ABSTRACT
Randomness has distinct phases, namely slow/med/fast - analogous to the physical phases of matter - solid/liquid/gas.
[chapter 1]
Risk Ruin & Reward
RULES
1 Markets Are Risky
2 Trouble Runs in Streaks
--- turbulence tends to cluster
3 Markets Have a Personality
--- sum greater than the parts
--- prices largely determined endogenously
--- are (mathematically speaking) stationary(?)
4 Markets Mislead
--- pseudo-patterns are observable in fundamentally unpredictable processes
--- charting is alchemy
5 Market Time is Relative
-- markets move to a beat that has phases of different tempos
-- fast/slow 'trading time'
-- price movement graphs look the same over different time scales
[chapter 2]
By The Toss of a Coin or the Flight of an Arrow ?
fat cauchy tails vs. normal bell bottoms
the blind zen archer vs the coin tosser
TYPICAL EFFECT OF EXTREME OUTLIER ON AVERAGE/MEAN
Gaussian - minor - e.g. coin toss game wih sets
Cauchy - significant - e.g. distance from target of blind archer
in the markets extreme events happen more frequently than the normal distribution would have you believe
[chapter 3]
Bachelier and His Legacy
[the establishment of the canon]
1900 Louis Bachelier - price movements follow a random walk.
- each new change is independent of the past history
- changes are normally distributed (very few extreme changes)
- equal probability of up or down movement
the EFFICIENT MARKET HYPOTHESIS
In an ideal market (perfect information) all current information relevant to the price of a security will already be priced in.
=> today's price is independent of yesterday's
FLAWS
- price changes are not independent
- price changes not normally distributed
--- in reality there are more rare extreme values than the normal curve predicts
VOLATILITY IS VOLATILE
H = exponent of price dependence
alpha = volatility
[chapter 5]
THE CASE AGAINST MODERN FINANCE
FLAWED ASSUMPTIONS
1 People are rational and aim only to maximize profits
2 The marketplace consist of equivalent/identical actors
3 Price changes can safely be regarded as continuous
4 Price changes follow a Brownian motion
KURTOSIS
fat-tailed curve = higher
normal curve = 3
even more squashed = 1
STATISTICAL MOMENTS
1 Mean (centre)
2 Variance (spread)
3 Skewness (symmetry)
4 Kurtosis (curviness)
FRACTAL PROCESSES = self-similar
self-affine => multiple axes of self-similarity => multi-fractal
FRACTAL DIMENSION
quantifies 'roughness'
e.g. degree of space-filling of 2-d plane by 1-d line curve
H = LONG-TERM PRICE DEPENDENCE
[H : HE Hurst (Abu Nil), Ludwig Otto Holder]
H < 0.5 => anti-dependence (mean reversion)
H = 0.5 => independence, Brownian motion
H > 0.5 => long-term dependence / momentum
[chapter 12]
10 HERESIES OF FINANCE
1 Markets are turbulent
2 Markets are very risky, and the standard models generally significantly underestimate the actual degree of risk
3 Market timing matters greatly - big gains and small losses are clustered
4 Prices often leap, not glide. That adds to the risk.
5 In markets, time is flexible
6 Markets in all places and all ages work alike
7 Markets are inherently uncertain, and price bubbles are inevitable
8 Markets are deceptive
9 Forecasting prices can be perilous, but you _can_ estimate the odds of future volatility
10 In financial markets, the idea of 'value' has limited value
Articles on Benoit Mandelbrot
DailyTelegraphArticle
DailyTelegraphBio
Tuesday, June 15, 2010
The Quotron
http://priorartdatabase.com/IPCOM/000129593
http://wiki.answers.com/Q/What_happened_to_Quotron_systems_inc.
http://www.independent.co.uk/news/business/reuters-agrees-to-take-control-of-quotron-marketdata-service-has-lost-citicorp-millions-of-dollars-1399948.html
http://en.wiktionary.org/wiki/Quotron
http://wiki.answers.com/Q/What_happened_to_Quotron_systems_inc.
http://www.independent.co.uk/news/business/reuters-agrees-to-take-control-of-quotron-marketdata-service-has-lost-citicorp-millions-of-dollars-1399948.html
http://en.wiktionary.org/wiki/Quotron
September 11 2001 Insider Trading
http://911research.wtc7.net/sept11/stockputs.html
http://www.hereinreality.com/insidertrading.html
http://www.jonesreport.com/article/02_08/200208_kucinich_trading.html
http://www.historycommons.org/timeline.jsp?timeline=complete_911_timeline&before_9/11=insidertrading
http://www.globalresearch.ca/articles/HEN204B.html
http://www.hereinreality.com/insidertrading.html
http://www.jonesreport.com/article/02_08/200208_kucinich_trading.html
http://www.historycommons.org/timeline.jsp?timeline=complete_911_timeline&before_9/11=insidertrading
http://www.globalresearch.ca/articles/HEN204B.html
Analysts' Blogs
Tyler Durden @ Zero Hedge
Recommended by John Mauldin:
Dylan Grice @ Popular Delusions
Atlanta Fed - MacroBlog
Alea Jacta Est
Recommended by John Mauldin:
Dylan Grice @ Popular Delusions
Atlanta Fed - MacroBlog
Alea Jacta Est
Friday, June 4, 2010
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