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The Financial Bubble Experiment: Advanced Diagnostics and Forecasts of Bubble Terminations Volume III–Assets Document R. Woodard, D. Sornette, M. Fedorovsky (The Financial Crisis Observatory) * Department of Management, Technology and Economics, ETH Zurich, Kreuzplatz 5, CH-8032 Zurich, Switzerland (Dated: 11 November 2010) This is the third installment of the Financial Bubble Experiment. We identify 27 bubbles in 27 different global assets; for 25 of these assets, we present windows of dates of the most likely ending time of each bubble. This current document, which will be made public on 2 May 2011 is the one whose digital fingerprint is provided in the accompanying master document [1], made public on 11 November 2010. I. INTRODUCTION The Financial Bubble Experiment (FBE) aims at testing the following two hypotheses: Hypothesis H1: Financial (and other) bubbles can be diagnosed in real-time before they end. Hypothesis H2: The termination of financial (and other) bubbles can be bracketed using probabilistic forecasts, with a reliability better than chance. In a medical context, H1 corresponds to the diagnostic of cancer and H2 to the forecast of remaining life expectancy. These are embedded hypotheses, in that H1 includes H2 and we test them here separately. The “end of a bubble” is interpreted in terms of dynamical systems as a “change of regime” or “turning point”. This qualitative terminology is supported by quantitative measures [3]. We began this experiment in November 2009 with the publication of diagnoses of three distinct bubbles in three distinct assets, followed in December 2004 with a fourth. We only published the digital fingerprints of electronic documents containing our forecasts in November and December 2009. On 3 May 2010 we revealed the four assets and published the original documents. In each of the four original documents, we presented a range of dates of the most likely end of the bubbles. In the follow-up report in May 2010, we presented quantitative analysis measuring the quality of our forecasts. The background theory and methodology, as well as these previous results—the original documents, the digital fingerprints and the follow-up analysis—are publicly available online at the URL given in [3]. We continued the FBE with 7 more assets, whose key was published in May 2010 and revealed in November 2010 [2]. This report is a continuation of the FBE in that we offer the digital fingerprint of an electronic document containing 27 assets that we find to be in bubbles at the time of writing. We published the original document itself on 11 November 2010. As in the second installment, we create only a single document containing the information on the 27 assets. We continue with testing separately H1 by itself and H1 in combination with H2. We present a collection of 27 assets that our methods indicate support H1 (Sections II-III, Tables I-II). For 25 of these assets, we also provide forecast windows of the most likely ending of the bubbles, which would support H2 (Section III, Table II). Further, we categorize the assets by type: Index, Equity, Commodity and Foreign Exchange. Note that in our Equity category, we mean products that can be traded on an exchange. This is why, for instance, Ishares Singapore Index, with ticker symbol EWS appears under our Equity category and not under the Index category. * [email protected]

The Financial Bubble Experiment: Advanced Diagnostics and ......Forex AUDUSD (B) 2010-11-12 - 2010-12-25 2010-10-30 - 2011-01-12 TABLE II. 25 H2 assets of the Financial Bubble Experiment

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Page 1: The Financial Bubble Experiment: Advanced Diagnostics and ......Forex AUDUSD (B) 2010-11-12 - 2010-12-25 2010-10-30 - 2011-01-12 TABLE II. 25 H2 assets of the Financial Bubble Experiment

The Financial Bubble Experiment:Advanced Diagnostics and Forecasts of Bubble Terminations

Volume III–Assets Document

R. Woodard, D. Sornette, M. Fedorovsky

(The Financial Crisis Observatory)∗

Department of Management, Technology and Economics,ETH Zurich, Kreuzplatz 5, CH-8032 Zurich, Switzerland

(Dated: 11 November 2010)

This is the third installment of the Financial Bubble Experiment. We identify 27 bubbles in 27different global assets; for 25 of these assets, we present windows of dates of the most likely endingtime of each bubble. This current document, which will be made public on 2 May 2011 is the onewhose digital fingerprint is provided in the accompanying master document [1], made public on 11November 2010.

I. INTRODUCTION

The Financial Bubble Experiment (FBE) aims at testing the following two hypotheses:

• Hypothesis H1: Financial (and other) bubbles can be diagnosed in real-time before they end.

• Hypothesis H2: The termination of financial (and other) bubbles can be bracketed using probabilistic forecasts,with a reliability better than chance.

In a medical context, H1 corresponds to the diagnostic of cancer and H2 to the forecast of remaining life expectancy.These are embedded hypotheses, in that H1 includes H2 and we test them here separately. The “end of a bubble” isinterpreted in terms of dynamical systems as a “change of regime” or “turning point”. This qualitative terminologyis supported by quantitative measures [3].

We began this experiment in November 2009 with the publication of diagnoses of three distinct bubbles in threedistinct assets, followed in December 2004 with a fourth. We only published the digital fingerprints of electronicdocuments containing our forecasts in November and December 2009. On 3 May 2010 we revealed the four assetsand published the original documents. In each of the four original documents, we presented a range of dates of themost likely end of the bubbles. In the follow-up report in May 2010, we presented quantitative analysis measuringthe quality of our forecasts. The background theory and methodology, as well as these previous results—the originaldocuments, the digital fingerprints and the follow-up analysis—are publicly available online at the URL given in [3].We continued the FBE with 7 more assets, whose key was published in May 2010 and revealed in November 2010 [2].

This report is a continuation of the FBE in that we offer the digital fingerprint of an electronic document containing27 assets that we find to be in bubbles at the time of writing. We published the original document itself on 11 November2010. As in the second installment, we create only a single document containing the information on the 27 assets.We continue with testing separately H1 by itself and H1 in combination with H2.

We present a collection of 27 assets that our methods indicate support H1 (Sections II-III, Tables I-II). For 25of these assets, we also provide forecast windows of the most likely ending of the bubbles, which would support H2(Section III, Table II). Further, we categorize the assets by type: Index, Equity, Commodity and Foreign Exchange.Note that in our Equity category, we mean products that can be traded on an exchange. This is why, for instance,Ishares Singapore Index, with ticker symbol EWS appears under our Equity category and not under the Index category.

[email protected]

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2

2 H1 Assets (identified bubble)

Category Asset Ticker

Index MERVAL Buenos Aires ^MERV (Y)

Equity AUTOZONE AZO (Y)

TABLE I. 2 H1 assets of the Financial Bubble Experiment as of 11 November 2010. All listed assets are candidates for H1(identified bubble phase). In the Ticker column, (B) stands for Bloomberg and (Y) for Yahoo Finance.

25 H1 and H2 Assets (identified bubble)

Category Asset Ticker tc 20% - 80% tc 5% - 95%

Index

BSE SENSEX, Bombay ^BSESN (Y) 2010-11-03 - 2010-12-01 2010-10-27 - 2010-12-10

Dow Jones-AIG Commodity Index ^DJC (Y) 2010-11-16 - 2010-12-04 2010-11-09 - 2010-12-10

FTSE 100 ^FTSE (Y) 2010-11-27 - 2010-12-26 2010-11-07 - 2011-01-03

Hang Seng Index Hong Kong ^HSI (Y) 2010-11-09 - 2010-12-09 2010-11-07 - 2010-12-16

Interactive Week Internet Index ^IIX (Y) 2010-11-12 - 2010-12-10 2010-11-04 - 2010-12-23

NASDAQ Computer ^IXK (Y) 2010-11-13 - 2010-12-06 2010-11-07 - 2010-12-09

Jakarta Composite ^JKSE (Y) 2010-11-06 - 2010-12-09 2010-10-23 - 2010-12-25

KOSPI Composite Index, Seoul ^KS11 (Y) 2010-11-15 - 2010-12-26 2010-10-30 - 2011-01-07

NASDAQ-100 (DRM) ^NDX (Y) 2010-11-05 - 2010-11-29 2010-11-03 - 2010-12-22

Reuters/Jefferies CRB index CRY INDEX (B) 2010-11-11 - 2010-11-22 2010-11-07 - 2010-11-26

TSEC weighted index ^TWII (Y) 2010-12-01 - 2011-01-03 2010-11-13 - 2011-01-08

Major Market Index ^XMI (Y) 2010-11-10 - 2010-11-25 2010-10-30 - 2010-12-04

Equity

Ishares Singapore Index EWS (Y) 2010-11-14 - 2010-12-12 2010-11-06 - 2010-12-25

Freeport McMoRan Copper & Gold FCX (Y) 2010-11-15 - 2010-12-17 2010-11-09 - 2010-12-27

F5 NETWORKS FFIV (Y) 2010-12-27 - 2011-03-09 2010-12-02 - 2011-04-08

INTUIT INTU (Y) 2010-11-28 - 2011-01-15 2010-11-07 - 2011-02-11

STARBUCKS SBUX (Y) 2010-11-08 - 2010-11-18 2010-11-06 - 2010-11-25

UNITED RENTALS INC URI (Y) 2010-11-09 - 2010-12-13 2010-11-02 - 2011-01-08

Commodity

Copper future (USD) HG1 COMB Comdty (B) 2010-11-09 - 2011-01-07 2010-10-31 - 2011-01-15

Corn future (CHF) C 1 COMB Comdty (B) 2010-11-18 - 2010-12-19 2010-11-08 - 2010-12-28

Cotton future (USD) CT1 COMB Comdty (B) 2010-11-12 - 2010-11-13 2010-11-08 - 2010-11-15

Palladium future (USD) PA1 COMB Comdty (B) 2010-11-12 - 2010-11-19 2010-11-10 - 2010-11-27

Silver future (CHF) SI1 COMB Comdty (B) 2010-11-13 - 2010-11-18 2010-11-08 - 2010-11-29

Sugar future (CHF) SB1 COMB Comdty (B) 2010-11-20 - 2010-12-09 2010-11-10 - 2010-12-17

Forex AUDUSD (B) 2010-11-12 - 2010-12-25 2010-10-30 - 2011-01-12

TABLE II. 25 H2 assets of the Financial Bubble Experiment as of 11 November 2010. All listed assets are candidates for H1(identified bubble phase) and H2 (identification of end of bubble phase). Quantile windows of most likely dates of the end ofthe bubble phases are shown. In the Ticker column, (B) stands for Bloomberg and (Y) for Yahoo Finance.

[1] R. Woodard, D. Sornette, M. Fedorovsky. The financial bubble experiment: advanced diagnostics and forecasts of bubbleterminations, Vol. III. (Specific URL http://arxiv.org unavailable at time of digital signature), November 2010.

[2] D. Sornette, R. Woodard, M. Fedorovsky, S. Reimann, H. Woodard, and W. X. Zhou The Financial Crisis Observatory.The Financial Bubble Experiment: advanced diagnostics and forecasts of bubble terminations, Vol. II–Master document.URL http://arxiv.org/abs/1005.5675. 2010.

[3] D. Sornette, R. Woodard, M. Fedorovsky, S. Reimann, H. Woodard, and W.-X. Zhou. The financial bubble experiment:advanced diagnostics and forecasts of bubble terminations. URL http://arxiv.org/abs/0911.0454, May 2010.

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3

II. H1 ASSETS

We diagnose that the 2 assets in this Section (see Table I) are in a bubble phase (H1) but we do not make forecastsof likely dates of change of regime (H2). For each asset, we present a figure showing the time series of the observationsand indicate the range over which our analysis was performed (the shaded area in each figure).

A. H1 Indexes

1. MERVAL Buenos Aires

2008/02 2008/08 2009/02 2009/08 2010/02 2010/08date

800

1600

2400

3200

pric

e

last obs. price: 3311.0

last

obs

.: 20

10-1

1-10

MERV

Observed prices

FIG. 1. MERVAL Buenos Aires: Time series of observations (filled circles) and range over which our analysis was performed(shaded region).

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4

B. H1 Equities

1. AUTOZONE

2008/01 2009/01 2010/01 2011/01date

120

180

240

pric

e

last obs. price: 248.9

last

obs

.: 20

10-1

1-10

AZO

Observed prices

FIG. 2. AUTOZONE: Time series of observations (filled circles) and range over which our analysis was performed (shadedregion).

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5

III. H1 & H2 ASSETS

We hypothesize that the 25 assets in this Section (see Table II) are all in a bubble phase (H1) and are likely to endwithin the quantile ranges indicated in Table II (H2).

A. H1 & H2 Indexes

1. BSE SENSEX, Bombay

2008/01 2009/01 2010/01 2011/01date

10000

15000

20000

25000

pric

e

last obs. price: 20875.7

last

obs

.: 20

10-1

1-10

20/80: 2010-11-03 - 2010-12-015/95: 2010-10-27 - 2010-12-1020/80: 2010-11-03 - 2010-12-015/95: 2010-10-27 - 2010-12-10

BSESN

Observed prices

FIG. 3. BSE SENSEX, Bombay: Time series of observations (filled circles) and range over which our analysis was performed(shaded region).

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6

2. Dow Jones-AIG Commodity Index

2008/01 2009/01 2010/01 2011/01date

100

150

200

250

pric

e last obs. price: 154.2

last

obs

.: 20

10-1

1-10

20/80: 2010-11-16 - 2010-12-045/95: 2010-11-09 - 2010-12-1020/80: 2010-11-16 - 2010-12-045/95: 2010-11-09 - 2010-12-10

DJC

Observed prices

FIG. 4. Dow Jones-AIG Commodity Index: Time series of observations (filled circles) and range over which our analysis wasperformed (shaded region).

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7

3. FTSE 100

2008/01 2009/01 2010/01 2011/01date

4000

5000

6000

7000

pric

e

last obs. price: 5816.9

last

obs

.: 20

10-1

1-10

20/80: 2010-11-27 - 2010-12-265/95: 2010-11-07 - 2011-01-0320/80: 2010-11-27 - 2010-12-265/95: 2010-11-07 - 2011-01-03

FTSE

Observed prices

FIG. 5. FTSE 100: Time series of observations (filled circles) and range over which our analysis was performed (shaded region).

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8

4. Hang Seng Index Hong Kong

2008/01 2009/01 2010/01 2011/01date

16000

24000

32000

pric

e

last obs. price: 24500.6

last

obs

.: 20

10-1

1-10

20/80: 2010-11-09 - 2010-12-095/95: 2010-11-07 - 2010-12-1620/80: 2010-11-09 - 2010-12-095/95: 2010-11-07 - 2010-12-16

Hang Seng

Observed prices

FIG. 6. Hang Seng Index Hong Kong: Time series of observations (filled circles) and range over which our analysis wasperformed (shaded region).

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9

5. Interactive Week Internet Index

2008/01 2009/01 2010/01 2011/01date

160

240

320

pric

e

last obs. price: 312.7

last

obs

.: 20

10-1

1-10

20/80: 2010-11-12 - 2010-12-105/95: 2010-11-04 - 2010-12-2320/80: 2010-11-12 - 2010-12-105/95: 2010-11-04 - 2010-12-23

IIX

Observed prices

FIG. 7. Interactive Week Internet Index: Time series of observations (filled circles) and range over which our analysis wasperformed (shaded region).

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10

6. NASDAQ Computer

2008/01 2009/01 2010/01 2011/01date

500

750

1000

1250

1500

pric

e

last obs. price: 1336.0

last

obs

.: 20

10-1

1-10

20/80: 2010-11-13 - 2010-12-065/95: 2010-11-07 - 2010-12-0920/80: 2010-11-13 - 2010-12-065/95: 2010-11-07 - 2010-12-09

IXK

Observed prices

FIG. 8. NASDAQ Computer: Time series of observations (filled circles) and range over which our analysis was performed(shaded region).

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11

7. Jakarta Composite

2008/01 2009/01 2010/01 2011/01date

1000

2000

3000

4000

pric

e

last obs. price: 3757.0

last

obs

.: 20

10-1

1-10

20/80: 2010-11-06 - 2010-12-095/95: 2010-10-23 - 2010-12-2520/80: 2010-11-06 - 2010-12-095/95: 2010-10-23 - 2010-12-25

JKSE

Observed prices

FIG. 9. Jakarta Composite: Time series of observations (filled circles) and range over which our analysis was performed (shadedregion).

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12

8. KOSPI Composite Index, Seoul

2008/01 2009/01 2010/01 2011/01date

800

1200

1600

2000

pric

e

last obs. price: 1967.8

last

obs

.: 20

10-1

1-10

20/80: 2010-11-15 - 2010-12-265/95: 2010-10-30 - 2011-01-0720/80: 2010-11-15 - 2010-12-265/95: 2010-10-30 - 2011-01-07

KS11

Observed prices

FIG. 10. KOSPI Composite Index, Seoul: Time series of observations (filled circles) and range over which our analysis wasperformed (shaded region).

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13

9. NASDAQ-100 (DRM)

2008/01 2009/01 2010/01 2011/01date

1000

1500

2000

2500

pric

e

last obs. price: 2187.7

last

obs

.: 20

10-1

1-10

20/80: 2010-11-05 - 2010-11-295/95: 2010-11-03 - 2010-12-2220/80: 2010-11-05 - 2010-11-295/95: 2010-11-03 - 2010-12-22

NDX

Observed prices

FIG. 11. NASDAQ-100 (DRM): Time series of observations (filled circles) and range over which our analysis was performed(shaded region).

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14

10. Reuters/Jefferies CRB index

2008/02 2008/08 2009/02 2009/08 2010/02 2010/08date

200

300

400

500

pric

e

last obs. price: 317.1

last

obs

.: 20

10-1

1-10

20/80: 2010-11-11 - 2010-11-225/95: 2010-11-07 - 2010-11-2620/80: 2010-11-11 - 2010-11-225/95: 2010-11-07 - 2010-11-26

RJ CRB

Observed prices

FIG. 12. Reuters/Jefferies CRB index: Time series of observations (filled circles) and range over which our analysis wasperformed (shaded region).

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15

11. TSEC weighted index

2008/01 2009/01 2010/01 2011/01date

4000

6000

8000

10000

pric

e

last obs. price: 8450.6

last

obs

.: 20

10-1

1-10

20/80: 2010-12-01 - 2011-01-035/95: 2010-11-13 - 2011-01-0820/80: 2010-12-01 - 2011-01-035/95: 2010-11-13 - 2011-01-08

TWII

Observed prices

FIG. 13. TSEC weighted index: Time series of observations (filled circles) and range over which our analysis was performed(shaded region).

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16

12. Major Market Index

2008/01 2009/01 2010/01 2011/01date

750

1000

1250

1500

pric

e

last obs. price: 1245.2

last

obs

.: 20

10-1

1-10

20/80: 2010-11-10 - 2010-11-255/95: 2010-10-30 - 2010-12-0420/80: 2010-11-10 - 2010-11-255/95: 2010-10-30 - 2010-12-04

XMI

Observed prices

FIG. 14. Major Market Index: Time series of observations (filled circles) and range over which our analysis was performed(shaded region).

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17

B. H1 & H2 Equities

1. Ishares Singapore Index

2008/01 2009/01 2010/01 2011/01date

8

12

16

pric

e

last obs. price: 14.4

last

obs

.: 20

10-1

1-10

20/80: 2010-11-14 - 2010-12-125/95: 2010-11-06 - 2010-12-2520/80: 2010-11-14 - 2010-12-125/95: 2010-11-06 - 2010-12-25

EWS

Observed prices

FIG. 15. Ishares Singapore Index: Time series of observations (filled circles) and range over which our analysis was performed(shaded region).

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18

2. Freeport McMoRan Copper & Gold

2008/01 2009/01 2010/01 2011/01date

40

80

120

pric

e

last obs. price: 104.3

last

obs

.: 20

10-1

1-10

20/80: 2010-11-15 - 2010-12-175/95: 2010-11-09 - 2010-12-2720/80: 2010-11-15 - 2010-12-175/95: 2010-11-09 - 2010-12-27

FCX

Observed prices

FIG. 16. Freeport McMoRan Copper & Gold: Time series of observations (filled circles) and range over which our analysis wasperformed (shaded region).

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19

3. F5 NETWORKS

2008/01 2009/01 2010/01 2011/01date

50

100

150

pric

e

last obs. price: 122.9

last

obs

.: 20

10-1

1-10

20/80: 2010-12-27 - 2011-03-095/95: 2010-12-02 - 2011-04-0820/80: 2010-12-27 - 2011-03-095/95: 2010-12-02 - 2011-04-08

FFIV

Observed prices

FIG. 17. F5 NETWORKS: Time series of observations (filled circles) and range over which our analysis was performed (shadedregion).

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20

4. INTUIT

2008/05 2008/11 2009/05 2009/11 2010/05 2010/11date

20

30

40

50

pric

e

last obs. price: 48.8

last

obs

.: 20

10-1

1-10

20/80: 2010-11-28 - 2011-01-155/95: 2010-11-07 - 2011-02-1120/80: 2010-11-28 - 2011-01-155/95: 2010-11-07 - 2011-02-11

INTU

Observed prices

FIG. 18. INTUIT: Time series of observations (filled circles) and range over which our analysis was performed (shaded region).

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21

5. STARBUCKS

2008/02 2008/08 2009/02 2009/08 2010/02 2010/08date

10

20

30

40

pric

e

last obs. price: 30.5

last

obs

.: 20

10-1

1-10

20/80: 2010-11-08 - 2010-11-185/95: 2010-11-06 - 2010-11-2520/80: 2010-11-08 - 2010-11-185/95: 2010-11-06 - 2010-11-25

SBUX

Observed prices

FIG. 19. STARBUCKS: Time series of observations (filled circles) and range over which our analysis was performed (shadedregion).

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22

6. UNITED RENTALS INC

2008/01 2009/01 2010/01 2011/01date

10

20

30

pric

e

last obs. price: 20.2

last

obs

.: 20

10-1

1-09

20/80: 2010-11-10 - 2010-12-135/95: 2010-10-31 - 2011-01-0520/80: 2010-11-10 - 2010-12-135/95: 2010-10-31 - 2011-01-05

URI

Observed prices

FIG. 20. UNITED RENTALS INC: Time series of observations (filled circles) and range over which our analysis was performed(shaded region).

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23

C. H1 & H2 Commodities

1. Copper future (USD)

2008/01 2009/01 2010/01 2011/01date

1

2

3

4

5

pric

e

last obs. price: 3.97

last

obs

.: 20

10-1

1-10

20/80: 2010-11-09 - 2011-01-075/95: 2010-10-31 - 2011-01-1520/80: 2010-11-09 - 2011-01-075/95: 2010-10-31 - 2011-01-15

Copper future - USD

Observed prices

FIG. 21. Copper future (USD): Time series of observations (filled circles) and range over which our analysis was performed(shaded region).

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24

2. Corn future (CHF)

2008/01 2009/01 2010/01 2011/01date

3.0

4.5

6.0

7.5

pric

e

last obs. price: 5.52

last

obs

.: 20

10-1

1-10

20/80: 2010-11-18 - 2010-12-195/95: 2010-11-08 - 2010-12-2820/80: 2010-11-18 - 2010-12-195/95: 2010-11-08 - 2010-12-28

Corn future - CHF

Observed prices

FIG. 22. Corn future (CHF): Time series of observations (filled circles) and range over which our analysis was performed(shaded region).

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25

3. Cotton future (USD)

2008/02 2008/08 2009/02 2009/08 2010/02 2010/08date

0.5

1.0

1.5

pric

e

last obs. price: 1.46

last

obs

.: 20

10-1

1-10

20/80: 2010-11-12 - 2010-11-135/95: 2010-11-08 - 2010-11-1520/80: 2010-11-12 - 2010-11-135/95: 2010-11-08 - 2010-11-15

Cotton future - USD

Observed prices

FIG. 23. Cotton future (USD): Time series of observations (filled circles) and range over which our analysis was performed(shaded region).

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26

4. Palladium future (USD)

2008/02 2008/08 2009/02 2009/08 2010/02 2010/08date

250

500

750

pric

e

last obs. price: 696.8

last

obs

.: 20

10-1

1-10

20/80: 2010-11-12 - 2010-11-195/95: 2010-11-10 - 2010-11-2720/80: 2010-11-12 - 2010-11-195/95: 2010-11-10 - 2010-11-27

Palladium future - USD

Observed prices

FIG. 24. Palladium future (USD): Time series of observations (filled circles) and range over which our analysis was performed(shaded region).

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5. Silver future (CHF)

2008/02 2008/08 2009/02 2009/08 2010/02 2010/08date

16

24

32

pric

e

last obs. price: 26.2

last

obs

.: 20

10-1

1-10

20/80: 2010-11-13 - 2010-11-185/95: 2010-11-08 - 2010-11-2920/80: 2010-11-13 - 2010-11-185/95: 2010-11-08 - 2010-11-29

Silver future - CHF

Observed prices

FIG. 25. Silver future (CHF): Time series of observations (filled circles) and range over which our analysis was performed(shaded region).

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6. Sugar future (CHF)

2008/01 2009/01 2010/01 2011/01date

0.16

0.24

0.32

pric

e

last obs. price: 0.320

last

obs

.: 20

10-1

1-10

20/80: 2010-11-20 - 2010-12-095/95: 2010-11-10 - 2010-12-1720/80: 2010-11-20 - 2010-12-095/95: 2010-11-10 - 2010-12-17

Sugar future - CHF

Observed prices

FIG. 26. Sugar future (CHF): Time series of observations (filled circles) and range over which our analysis was performed(shaded region).

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29

D. H1 & H2 Foreign Exchange

1. AUDUSD

2008/01 2009/01 2010/01 2011/01date

0.6

0.8

1.0

pric

e

last obs. price: 1.00

last

obs

.: 20

10-1

1-10

20/80: 2010-11-12 - 2010-12-255/95: 2010-10-30 - 2011-01-1220/80: 2010-11-12 - 2010-12-255/95: 2010-10-30 - 2011-01-12

AUDUSD

Observed prices

FIG. 27. AUDUSD: Time series of observations (filled circles) and range over which our analysis was performed (shaded region).