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Universal Alpha Factory: Crafting Portable Excess
Return by Investing in Liquid Commodity Futures

European Alternative Investment Summit
a marcusevans summit series event
5-7 November 2008 | Fairmont Le Montreux Palace | Montreux | Switzerland
s


        Disclaimer
        The views and opinions expressed in this presentation are those of the authors
        only, and do not necessarily represent the views and opinions of Siemens AG,
        or any of its employees. The authors make no representations or warranty,
        either expressed or implied, as to the accuracy or completeness of the
        information contained in this presentation, nor is he recommending that this
        presentation serves as the basis for any investment decision. This presentation
        is prepared for the European Alternative Investment summit on 5-7 November
        2008 in Fairmont Le Montreux Palace, Montreux, Switzerland only. Research
        support from fin4cast is gratefully acknowledged.

        Dr. Miroslav Mitev - Siemens AG Österreich, Siemens IT Solutions and Services,
        Program and System Engineering, Fin4Cast, Gudrunstrasse 11, 1100 Vienna,
        Austria, Phone: +43 (0) 517 07 46253, Fax: +43 (0) 517 07 56256, email:
        info@fin4cast.com, www.fin4cast.com/indices.




11 08
                                                                                          2
s


        Agenda
         Definition of Beta and Alpha
         Separating Alpha from Beta
         Inter-dependences between different asset classes
         Maximizing returns through commodity exposure
         Generating Alpha from long & short exposure to
         commodities using liquid futures
         Measuring the effect of porting Alpha to core
         investment
         Conclusion and Q&A
11 08
                                                             3
s


        Definition of Beta
         In general Beta represents the market return (Risk Premium) of an
        asset class
         Depending on investor’s objectives the Beta could be defined as:
             the return of the stock market (DJ Industrial Average Index)
             the return of the bond market (U.S. Treasury Note)
             the return of the commodity market (DJ AIG Commodity Index)
             the return of the currency market (EUR/USD Exchange Rate)
             the return of investor‘s liabilities (Liability Index = Zero Coupon Bonds)

         Depending on the way investors take exposure to Beta we could
        distinguish between:
             Traditional Beta, i.e. the long exposure through buy and hold of futures,
            ETFs, etc.
              Alternative Beta, i.e. the rotation between the traditional betas and
            taking advantage of short exposure (CS Tremont Hedge Fund Index)
11 08
                                                                                          4
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        Stock Market Beta




11 08                       Source: Thomson Reuters
                                                      5
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        Bond Market Beta




11 08                      Source: Thomson Reuters
                                                         6
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        Commodity Market Beta




11 08
                                                              7
                                Source: Thomson Reuters
s


        Currency Market Beta




11 08                          Source: Thomson Reuters
                                                             8
s


        Alternative Beta




11 08
                           Source: Thomson Reuters
                                                         9
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        Definition of Alpha
         In general Alpha represents the excess return vs. a given benchmark
          Per definition Alpha can not be replaced or explained by the existing
        traditional and alternative Betas, i.e. it has a very low correlation to
        Beta
         Alpha can only be generated by taking active bets and is subject to
        manager’s skills, i.e. Know-How and technology
         Depending on investor’s objectives we can distinguish between:
             Relative Alpha, i.e. the relative out-performance against a given
            benchmark which is usually measured by the information ratio
              Absolute Alpha, i.e. the absolute excess return above a pre-defined
            threshold return usually measured by the Sharpe Ratio

          An example for a commodity Alpha prepared for this presentation is
        the fin4cast Commodity Index which benefits from long and short
        positions in 13 liquid commodity futures
11 08
                                                                                    10
s


        Commodity Alpha




11 08                     Source: fin4cast
                                                 11
s


        Beta and Alpha Sources




                                 Source: Thomson Reuters
11 08
                                                           12
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        Separating Alpha from Beta

                                   Yt = α + β * X t + ε t
         Traditional beta:

                                                               Stock Market Return
                                  Return     Alpha = Skill              =                   Residuals
                                                                   Market Risk



                                                                          Return of different
                                                         Alternative
                                             Pure                            Asset Classes
                                  Return                                                          Residuals
                                             Alpha                                 =
                                                            Beta
                                                                           Traditional Beta



                                 Yt = α + δ * At + β * X t + ε t
         Alternative Beta:




          Yt = α + β1 * X 1 t + β 2 * X 2 t + β 3 * X 3 t + β 4 * X 4 t + L + β k * X k t + ε t
            Commodity   Bonds       Stocks         Currency        Hedge Funds                  Commodity
              Alpha      Risk        Risk            Risk             Risk                         Risk
11 08
                                                                                                              13
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        Interdependences between the asset classes (March 1999 – Sep 2008)

                                                                                            Rotated Matrix of the Principal Components a

                                                                                                                      Components
                                                                                                           1              2           3
                                                                                        DJIA                   .797
                                                                                        10 year US
                                                                                                            -.720
                                                                                        T-Note
                                                                                        CS HFI                 .565        .518
                                                                                        EURUSD                             .831
                                                                                        DJ AIGCI                           .642            .374
                                                                                        FIN4CAST                                           .952
                                                                                        Method: Principal Components Analyse. Rotation:
                                                                                        Varimax with Kaiser-Normalisation.
                                                                                           a. The rotation converged after 7 iterations.




11 08   Multi – Correlation Coeffitien represents the average correlation to all other Betas and Alpha
                                                                                                                                                  14
        Value Added Coeffitient = ABS (Sharpe Ratio/Multi-Correlation Coeffitien)
s


        Interdependences between the asset classes (March 1999 – March 2003)




11 08
                                                                               15
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        Interdependences between the asset classes (April 2003 – July 2007)




11 08
                                                                              16
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Agenda
         Interdependences between the asset classes (July 2007 – September 2008)




11 08
                                                                                   17
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         Maximizing returns through commodity exposure
Agenda




11 08
                                                         18
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        Generating Alpha from long/short commodity exposure
         Case study: fin4cast Commodity Index
              benefiting from the most liquid commodity futures across
            agriculture & live stock, metal and energy sectors by combining
            long and short futures positions.
         Eligible commodity futures:
        Agriculture & Live Stock:   Metal:                   Energy:
             Corn (CBoT)                 Copper (COMEX)           Natural Gas (NYMEX)
             Soybean (CBoT)              Gold (COMEX)            Light Sweet Crude Oil
                                                                (NYMEX)
             Wheat (CBoT)                Silver (COMEX)
             Coffee (NYBoT)              Palladium (COMEX)
             Cotton (NYBoT               Platinum (COMEX)
             Sugar (NYBoT)
             Lean Hog (CME)
             Live Cattle (CME)
11 08
                                                                                         19
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        Asset allocation as of 27th October 2008




11 08
                                                       20
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        Commodity long/short exposure YTD 2008




11 08
                                                 21
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        Performance attribution YTD 2008 (Agriculture)




11 08
                                                         22
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        Performance attribution YTD 2008 (Agriculture)




11 08
                                                         23
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        Performance attribution YTD 2008 (Live Stock)




11 08
                                                        24
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        Performance attribution YTD 2008 (Metals)




11 08
                                                    25
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        Performance attribution YTD 2008 (Metals)




11 08
                                                    26
s


         Performance attribution YTD 2008 (Energy)
Agenda




11 08
                                                     27
s


        Measuring the effect of porting Alpha to the core investment




11 08
                                                                   28
s


        Thanky you very much for your attention!



                       Q&A



11 08
                                                   29
s


        Appendix: Alpha-generation process

         Forecasting
         Selection of leading indicators
         Evaluation of forecasts
         Selection of forecasts
         Portfolio construction
         Trading




11 08
                                               30
s

        Modelbuilding & Forecasting Process
        From Data Acquisition to Forecasts Generation

                            Data storage,
          Data                               Input pre-selection   Input Selection
                            processing &
          Acquisition
                              cleaning
                                             Criteria:             Search Algorithms:
            • Reuters                        • economical          • Neighborhood search
            • Thomson                        • statistical         • Iterative improvement
              Financial                                              approaches
                                                                   • Genetic Algorithm


                                                                   Linear Models
                          Forecast Post analysis

                                                                   •   ARIMA/SARIMA
                   Comparative in sample and out of
                                                                   •   VAR/VARX
                   sample tests
                                                                   •   Factor Models
                   (Forecast Statistics)
                                                                   •   ARCH/GARCH
                                Evaluation
              rejected
                                                                   Estimation methods:
                                                                   AOLS, WOLS, SUR, ML.
                   Forward tests
                   (Forecast Statistics)                           Non Linear Models

                                                                   • Single & Multi Output MLP
                                Evaluation
              rejected
                                                                   Learning Algorithms
                                Forecasts                          • Steepest Descent
                                                                   • Quick prop
11 08
                                                                                                 31
s


        Input Selection for the Mathematical Forecasting Models

         Original           Economical           Technical    Statistical     Input Set    Search           Optimized
         Input Set          Criteria             Analysis     Analysis                     Algorithm        Input Set

        app.. 2000         app.. 800            app.. 3500                   app.. 100                     app.. 20
        Time Series        Time Series          Time Series                  Time Series                   Time Series


              Macro
                                           gs
                                                                                           Correlation &
                                         La
              Economic
                                                              Stationarity                 Regression
              Interest                                                                     Analysis
                                                              Correlation
              Rates
                                                                                           AN Algorithm
                                                              Dynamic
              Price Data
                                                              Correlation                  Generic
              Currency                                                                     Algorithm
                                                              Normality
              Rates
                                                                                           Economical
                                                              Granger
              etc.                                                                         Selection
                                                              Causality
                                                                                           Grading
                                                                                           Sensitivity
                             Stochastic                                                                     max. 20 most
                                                                                           Analysis
                             Oscillators                                                                    important
                                                                                                            driving factors
                             Relative
                                                                                           Principal        of the future
                             Differences
                                                                                           Component &      returns of a pre-
                             (Exponential)                                                 Factor
                                                                                                            specified asset,
                             Moving                                                        Analysis
                                                                                                            e.g. S&P 500
                             Average
                                                                                           Cluster          Future
11 08                        etc.                                                          Reduction
                                                                                                                                32
s

        Building & Evaluating of the Mathematical Forecasting
        Models

                              Linear Modeling
                                                         Forecasts

                            Internal Selection of
                                                          Model &
                           Number of Factors and
                                                          Method
                                   Inputs                            Forecast
                                                                     Post-analysis

                                      ARIMA/SARIMA
          Optimized
          Input Set                     VAR & VARX                   • Correlation
                                       Factor Models                 • R2 &
                                        ARCH/GARCH                     extended R2
                                                                     • Hitrate
                                                                     • Residual
                            Non Linear Modeling
                                                                       Analysis
                                                                     • Normality
                                                          Model &
                           Network Topology and                        Tests
                                                          Method
                             Parameter Tuning                        • etc.


                                     Single Output MLP
                                     Multi Output MLP




11 08
                                                                                     33
s


        Selecting of the best Mathematical Forecasting Models

                                                                                                  Use of
                                                                                        Model
                      In Sample           Out of Sample              Forward
                                                                                      Combination Models
                   500.000 Models          200.000 Models           50.000 Models



                                                           today live calculation of the mathematical models
                               1. Nov 2003
        1. Jan 2000
                                              (model compilation)




                                                                     Evaluation of     Selecting the   Continuos
                                       Postanalysis of accuracy
          Model building
                                                                                       best
                                       of forecasts                  accuracy of                       adjustment
          • Building the basic model                                                   forecasting
                                       min. 30 weeks                 forecasts                         and
                                                                                       Models
          • linear vs. non linear
                                                                     min. 4 weeks                      optimization
                                       • stability of the model                        •Baysian
          • can take several weeks
                                         in real environment                           Model
                                                                    • Adjusting and
            to find optimal model
                                                                                       Averaging
                                                                      Optimizing
                                                                                       •AIC & BIC
                                                                    • real testing
                                                                                       Model
                                                                                       Combination


                      During the „Out-of-Sample“, „Forward“, and „Use of Model“ Process the mathematical
11 08
                               model is adjusted periodically to the changing market environment!
                                                                                                                  34
s

        Portfolio Construction Process
        From Forecasts Generation to Asset Allocation

                                                    Actual Portfolio            Objective Function
                                                       Weights                  Maximize
                                                                                φ(x) = pTx – ½ R xTQx – SC(x0, x)
                                                   Forecast for each           Maximization of expected portfolio
                                                        asset                  return by simultaneous minimization
                                                                               of expected portfolio risk and
           Inputs for the Portfolio Construction




                                                   return forecasts            implementation     costs  for   the
                                                                                                                       Long/Short
                                                                               respective coming period
                                                   directional forecasts
                                                                                                                     Asset Allocation
                                                   forecasts of the returns’
                                                   distribution
                                                                                                                               e.g.
                                                                                   Portfolio Optimization
                                                      Risk matrix                                                              + 15%
                                                                               •Quadratic Optimization
                                                                                                                               - 20%
                                                                               •Ranking
                                                   estimated variance-co-
                                                                                                                                - 10%
                                                   variance matrix (market
                                                   risk)                                                                       + 30%
                                                   estimated residual
                                                                                            Constraints
                                                   diagonal matrix
                                                   (forecasting & model
                                                   risk)                           Market Neutrality, Long/Short,
                                                                                   Exposure, etc.
                                                   estimated slippage
                                                   (implementation risk)           Min. or max. investment to a
                                                                                   single asset or an asset class
                                                                                   Combinatorial constraints
                                                     Risk aversion
                                                                                   Turn-over constraints
11 08
                                                                                                                                        35
s


        Strategy Implementation Process
        From Asset Allocation to Order Execution & Portfolio Analysis

         in-house or external                                  Application Server
         institutions                                                                                     13     Portfolio Reconceliation, Portfolio
                                                                     Proposed Asset Allocation &
                                                1
                                                                                                                   Analysis & Risk Management
                                                                         Consistency Checks
            Confirmed weights &
            number of contracts                                                                                  •Slippage Analysis
                                               Internet
                                               (128 Bit SSL)                                                     •Implementation Short Fall
                                                                            Pre-Trade Analysis
                                                                                                                 •Return/Risk Analysis
                                     2
                                                                                                                 •Stop-Loss
                                                                              3
                                                                                                                 •If-than & Stress Tests
                                                                                                   12
                                                                           FIX Engine                            Scenarios

                                                                      4     FIX 4.2      11
                                                                                               Private Network

                                                               Brokers

                                                                            FIX Engine
              Exchange(s)
                                                                                                 reject
                                                                                         10
                                                                     5
                                                                      Consistency Checks
         Confirmation
                                  Orders
         of the                                                                            9
                                                                      6
         Execution
                                                                          Trading System
                                           7
                                                                             Interfaces


                                           8

11 08
                                                                                                                                                  36
s


        Commodity indices used in the presentation

         Goldman Sachs Commodity Index: The S&P GSCI™ is a composite index of commodity sector returns
         representing an unleveraged, long-only investment in commodity futures that is broadly diversified
         across the spectrum of commodities (Energy 73.86%, Metals 8.73%, Agriculture 13.14%, Live Stock
         4.26%) . The returns are calculated on a fully collateralized basis with full reinvestment. The combination
         of these attributes provides investors with a representative and realistic picture of realizable returns
         attainable in the commodities markets. Individual components qualify for inclusion in the S&P GSCI™ on
         the basis of liquidity and are weighted by their respective world production quantities. The principles
         behind the construction of the index are public and designed to allow easy and cost-efficient investment
         implementation. Possible means of implementation include the purchase of S&P GSCI™ related
         instruments, such as the S&P GSCI™ futures contract traded on the Chicago Mercantile Exchange (CME)
         or over-the-counter derivatives, or the direct purchase of the underlying futures contracts.
         The Dow Jones - AIG Commodity Index (DJ-AIGCI)® is composed of futures contracts on 19 physical
         commodities. The component weightings are also determined by several rules designed to insure
         diversified commodity exposure (Energy 33%, Metals 26.2%, Agriculture 30.3%, Live Stock 10.5%).
         Investors may invest in the Dow Jones AIG Commodity Index buy purchasing futures contracts traded on
         CBOT (Chicago Board of Trade). Alternatively, they may also purchase Pimco Commodity Real Return
         Fund, which mimics the returns of the Dow Jones AIG Commodity Index.
         The PHLX Gold and Silver Index is a capitalization-weighted index composed of the common stocks of
         nine companies in the gold and silver mining index. The index is a product of the Philadelphia Stock
         Exchange and began trading in January 1979 with an initial value of 100.



11 08
                                                                                                                       37
s

         Biography
                             Dr. Miroslav Mitev
                             Siemens AG Österreich
                             Siemens IT Solutions and Services
                             PSE/fin4cast
                             Phone: +43 (0) 51707 46253
                             Fax:    +43 (0) 51707 56465
                             Mobile: +43 (0) 676 9050903
                             Email: miroslav.mitev@siemens.com


        Dr Miroslav Mitev is a managing director and head of quantitative research and strategy development at
        Siemens/fin4cast. Dr Mitev is responsible for the development of innovative, systematic long-short investment
        strategies for institutional investors world wide based on Siemens/fin4cast technology. After joining Siemens in
        2001 Dr Mitev successfully formed a qualified team of 25 professionals which is continuously developing the
        Siemens/fin4cast Technology and building mathematical forecasting models for a variety of financial
        instruments like currency futures, commodity futures, stock index futures, bond futures, single stocks and hedge
        fund indices. Dr Mitev is in charge of the Siemens/fin4cast’s research cooperation with various universities and is
        actively involved in the scientific management of numerous master thesis and dissertations. Dr Mitev is a regular
        speaker at international conventions on liability driven investing, asset management, hedge funds, portable
        alpha, advanced quantitative studies, algo-trading and system research. Dr Mitev’s research is published on a
        regular basis in international journals and presented on international scientific conferences. Prior to joining
        Siemens Dr Mitev was at CA IB, the Investment Bank of Bank Austria Group, where he was in charge of the
        quantitative research of the securities research division. Dr Mitev received a Master of Economics and Business
        Administration with main focus on Investment Banking and Capital Markets. Dr Mitev also received a PhD in
        Economics with main focus on Finance and Econometrics.
11 08
                                                                                                                          38

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Univesal Alpha Factory Crafting Portable Excess Return By Investing In Liquid Commodity Futures Mitev

  • 1. s Universal Alpha Factory: Crafting Portable Excess Return by Investing in Liquid Commodity Futures European Alternative Investment Summit a marcusevans summit series event 5-7 November 2008 | Fairmont Le Montreux Palace | Montreux | Switzerland
  • 2. s Disclaimer The views and opinions expressed in this presentation are those of the authors only, and do not necessarily represent the views and opinions of Siemens AG, or any of its employees. The authors make no representations or warranty, either expressed or implied, as to the accuracy or completeness of the information contained in this presentation, nor is he recommending that this presentation serves as the basis for any investment decision. This presentation is prepared for the European Alternative Investment summit on 5-7 November 2008 in Fairmont Le Montreux Palace, Montreux, Switzerland only. Research support from fin4cast is gratefully acknowledged. Dr. Miroslav Mitev - Siemens AG Österreich, Siemens IT Solutions and Services, Program and System Engineering, Fin4Cast, Gudrunstrasse 11, 1100 Vienna, Austria, Phone: +43 (0) 517 07 46253, Fax: +43 (0) 517 07 56256, email: info@fin4cast.com, www.fin4cast.com/indices. 11 08 2
  • 3. s Agenda Definition of Beta and Alpha Separating Alpha from Beta Inter-dependences between different asset classes Maximizing returns through commodity exposure Generating Alpha from long & short exposure to commodities using liquid futures Measuring the effect of porting Alpha to core investment Conclusion and Q&A 11 08 3
  • 4. s Definition of Beta In general Beta represents the market return (Risk Premium) of an asset class Depending on investor’s objectives the Beta could be defined as: the return of the stock market (DJ Industrial Average Index) the return of the bond market (U.S. Treasury Note) the return of the commodity market (DJ AIG Commodity Index) the return of the currency market (EUR/USD Exchange Rate) the return of investor‘s liabilities (Liability Index = Zero Coupon Bonds) Depending on the way investors take exposure to Beta we could distinguish between: Traditional Beta, i.e. the long exposure through buy and hold of futures, ETFs, etc. Alternative Beta, i.e. the rotation between the traditional betas and taking advantage of short exposure (CS Tremont Hedge Fund Index) 11 08 4
  • 5. s Stock Market Beta 11 08 Source: Thomson Reuters 5
  • 6. s Bond Market Beta 11 08 Source: Thomson Reuters 6
  • 7. s Commodity Market Beta 11 08 7 Source: Thomson Reuters
  • 8. s Currency Market Beta 11 08 Source: Thomson Reuters 8
  • 9. s Alternative Beta 11 08 Source: Thomson Reuters 9
  • 10. s Definition of Alpha In general Alpha represents the excess return vs. a given benchmark Per definition Alpha can not be replaced or explained by the existing traditional and alternative Betas, i.e. it has a very low correlation to Beta Alpha can only be generated by taking active bets and is subject to manager’s skills, i.e. Know-How and technology Depending on investor’s objectives we can distinguish between: Relative Alpha, i.e. the relative out-performance against a given benchmark which is usually measured by the information ratio Absolute Alpha, i.e. the absolute excess return above a pre-defined threshold return usually measured by the Sharpe Ratio An example for a commodity Alpha prepared for this presentation is the fin4cast Commodity Index which benefits from long and short positions in 13 liquid commodity futures 11 08 10
  • 11. s Commodity Alpha 11 08 Source: fin4cast 11
  • 12. s Beta and Alpha Sources Source: Thomson Reuters 11 08 12
  • 13. s Separating Alpha from Beta Yt = α + β * X t + ε t Traditional beta: Stock Market Return Return Alpha = Skill = Residuals Market Risk Return of different Alternative Pure Asset Classes Return Residuals Alpha = Beta Traditional Beta Yt = α + δ * At + β * X t + ε t Alternative Beta: Yt = α + β1 * X 1 t + β 2 * X 2 t + β 3 * X 3 t + β 4 * X 4 t + L + β k * X k t + ε t Commodity Bonds Stocks Currency Hedge Funds Commodity Alpha Risk Risk Risk Risk Risk 11 08 13
  • 14. s Interdependences between the asset classes (March 1999 – Sep 2008) Rotated Matrix of the Principal Components a Components 1 2 3 DJIA .797 10 year US -.720 T-Note CS HFI .565 .518 EURUSD .831 DJ AIGCI .642 .374 FIN4CAST .952 Method: Principal Components Analyse. Rotation: Varimax with Kaiser-Normalisation. a. The rotation converged after 7 iterations. 11 08 Multi – Correlation Coeffitien represents the average correlation to all other Betas and Alpha 14 Value Added Coeffitient = ABS (Sharpe Ratio/Multi-Correlation Coeffitien)
  • 15. s Interdependences between the asset classes (March 1999 – March 2003) 11 08 15
  • 16. s Interdependences between the asset classes (April 2003 – July 2007) 11 08 16
  • 17. s Agenda Interdependences between the asset classes (July 2007 – September 2008) 11 08 17
  • 18. s Maximizing returns through commodity exposure Agenda 11 08 18
  • 19. s Generating Alpha from long/short commodity exposure Case study: fin4cast Commodity Index benefiting from the most liquid commodity futures across agriculture & live stock, metal and energy sectors by combining long and short futures positions. Eligible commodity futures: Agriculture & Live Stock: Metal: Energy: Corn (CBoT) Copper (COMEX) Natural Gas (NYMEX) Soybean (CBoT) Gold (COMEX) Light Sweet Crude Oil (NYMEX) Wheat (CBoT) Silver (COMEX) Coffee (NYBoT) Palladium (COMEX) Cotton (NYBoT Platinum (COMEX) Sugar (NYBoT) Lean Hog (CME) Live Cattle (CME) 11 08 19
  • 20. s Asset allocation as of 27th October 2008 11 08 20
  • 21. s Commodity long/short exposure YTD 2008 11 08 21
  • 22. s Performance attribution YTD 2008 (Agriculture) 11 08 22
  • 23. s Performance attribution YTD 2008 (Agriculture) 11 08 23
  • 24. s Performance attribution YTD 2008 (Live Stock) 11 08 24
  • 25. s Performance attribution YTD 2008 (Metals) 11 08 25
  • 26. s Performance attribution YTD 2008 (Metals) 11 08 26
  • 27. s Performance attribution YTD 2008 (Energy) Agenda 11 08 27
  • 28. s Measuring the effect of porting Alpha to the core investment 11 08 28
  • 29. s Thanky you very much for your attention! Q&A 11 08 29
  • 30. s Appendix: Alpha-generation process Forecasting Selection of leading indicators Evaluation of forecasts Selection of forecasts Portfolio construction Trading 11 08 30
  • 31. s Modelbuilding & Forecasting Process From Data Acquisition to Forecasts Generation Data storage, Data Input pre-selection Input Selection processing & Acquisition cleaning Criteria: Search Algorithms: • Reuters • economical • Neighborhood search • Thomson • statistical • Iterative improvement Financial approaches • Genetic Algorithm Linear Models Forecast Post analysis • ARIMA/SARIMA Comparative in sample and out of • VAR/VARX sample tests • Factor Models (Forecast Statistics) • ARCH/GARCH Evaluation rejected Estimation methods: AOLS, WOLS, SUR, ML. Forward tests (Forecast Statistics) Non Linear Models • Single & Multi Output MLP Evaluation rejected Learning Algorithms Forecasts • Steepest Descent • Quick prop 11 08 31
  • 32. s Input Selection for the Mathematical Forecasting Models Original Economical Technical Statistical Input Set Search Optimized Input Set Criteria Analysis Analysis Algorithm Input Set app.. 2000 app.. 800 app.. 3500 app.. 100 app.. 20 Time Series Time Series Time Series Time Series Time Series Macro gs Correlation & La Economic Stationarity Regression Interest Analysis Correlation Rates AN Algorithm Dynamic Price Data Correlation Generic Currency Algorithm Normality Rates Economical Granger etc. Selection Causality Grading Sensitivity Stochastic max. 20 most Analysis Oscillators important driving factors Relative Principal of the future Differences Component & returns of a pre- (Exponential) Factor specified asset, Moving Analysis e.g. S&P 500 Average Cluster Future 11 08 etc. Reduction 32
  • 33. s Building & Evaluating of the Mathematical Forecasting Models Linear Modeling Forecasts Internal Selection of Model & Number of Factors and Method Inputs Forecast Post-analysis ARIMA/SARIMA Optimized Input Set VAR & VARX • Correlation Factor Models • R2 & ARCH/GARCH extended R2 • Hitrate • Residual Non Linear Modeling Analysis • Normality Model & Network Topology and Tests Method Parameter Tuning • etc. Single Output MLP Multi Output MLP 11 08 33
  • 34. s Selecting of the best Mathematical Forecasting Models Use of Model In Sample Out of Sample Forward Combination Models 500.000 Models 200.000 Models 50.000 Models today live calculation of the mathematical models 1. Nov 2003 1. Jan 2000 (model compilation) Evaluation of Selecting the Continuos Postanalysis of accuracy Model building best of forecasts accuracy of adjustment • Building the basic model forecasting min. 30 weeks forecasts and Models • linear vs. non linear min. 4 weeks optimization • stability of the model •Baysian • can take several weeks in real environment Model • Adjusting and to find optimal model Averaging Optimizing •AIC & BIC • real testing Model Combination During the „Out-of-Sample“, „Forward“, and „Use of Model“ Process the mathematical 11 08 model is adjusted periodically to the changing market environment! 34
  • 35. s Portfolio Construction Process From Forecasts Generation to Asset Allocation Actual Portfolio Objective Function Weights Maximize φ(x) = pTx – ½ R xTQx – SC(x0, x) Forecast for each Maximization of expected portfolio asset return by simultaneous minimization of expected portfolio risk and Inputs for the Portfolio Construction return forecasts implementation costs for the Long/Short respective coming period directional forecasts Asset Allocation forecasts of the returns’ distribution e.g. Portfolio Optimization Risk matrix + 15% •Quadratic Optimization - 20% •Ranking estimated variance-co- - 10% variance matrix (market risk) + 30% estimated residual Constraints diagonal matrix (forecasting & model risk) Market Neutrality, Long/Short, Exposure, etc. estimated slippage (implementation risk) Min. or max. investment to a single asset or an asset class Combinatorial constraints Risk aversion Turn-over constraints 11 08 35
  • 36. s Strategy Implementation Process From Asset Allocation to Order Execution & Portfolio Analysis in-house or external Application Server institutions 13 Portfolio Reconceliation, Portfolio Proposed Asset Allocation & 1 Analysis & Risk Management Consistency Checks Confirmed weights & number of contracts •Slippage Analysis Internet (128 Bit SSL) •Implementation Short Fall Pre-Trade Analysis •Return/Risk Analysis 2 •Stop-Loss 3 •If-than & Stress Tests 12 FIX Engine Scenarios 4 FIX 4.2 11 Private Network Brokers FIX Engine Exchange(s) reject 10 5 Consistency Checks Confirmation Orders of the 9 6 Execution Trading System 7 Interfaces 8 11 08 36
  • 37. s Commodity indices used in the presentation Goldman Sachs Commodity Index: The S&P GSCI™ is a composite index of commodity sector returns representing an unleveraged, long-only investment in commodity futures that is broadly diversified across the spectrum of commodities (Energy 73.86%, Metals 8.73%, Agriculture 13.14%, Live Stock 4.26%) . The returns are calculated on a fully collateralized basis with full reinvestment. The combination of these attributes provides investors with a representative and realistic picture of realizable returns attainable in the commodities markets. Individual components qualify for inclusion in the S&P GSCI™ on the basis of liquidity and are weighted by their respective world production quantities. The principles behind the construction of the index are public and designed to allow easy and cost-efficient investment implementation. Possible means of implementation include the purchase of S&P GSCI™ related instruments, such as the S&P GSCI™ futures contract traded on the Chicago Mercantile Exchange (CME) or over-the-counter derivatives, or the direct purchase of the underlying futures contracts. The Dow Jones - AIG Commodity Index (DJ-AIGCI)® is composed of futures contracts on 19 physical commodities. The component weightings are also determined by several rules designed to insure diversified commodity exposure (Energy 33%, Metals 26.2%, Agriculture 30.3%, Live Stock 10.5%). Investors may invest in the Dow Jones AIG Commodity Index buy purchasing futures contracts traded on CBOT (Chicago Board of Trade). Alternatively, they may also purchase Pimco Commodity Real Return Fund, which mimics the returns of the Dow Jones AIG Commodity Index. The PHLX Gold and Silver Index is a capitalization-weighted index composed of the common stocks of nine companies in the gold and silver mining index. The index is a product of the Philadelphia Stock Exchange and began trading in January 1979 with an initial value of 100. 11 08 37
  • 38. s Biography Dr. Miroslav Mitev Siemens AG Österreich Siemens IT Solutions and Services PSE/fin4cast Phone: +43 (0) 51707 46253 Fax: +43 (0) 51707 56465 Mobile: +43 (0) 676 9050903 Email: miroslav.mitev@siemens.com Dr Miroslav Mitev is a managing director and head of quantitative research and strategy development at Siemens/fin4cast. Dr Mitev is responsible for the development of innovative, systematic long-short investment strategies for institutional investors world wide based on Siemens/fin4cast technology. After joining Siemens in 2001 Dr Mitev successfully formed a qualified team of 25 professionals which is continuously developing the Siemens/fin4cast Technology and building mathematical forecasting models for a variety of financial instruments like currency futures, commodity futures, stock index futures, bond futures, single stocks and hedge fund indices. Dr Mitev is in charge of the Siemens/fin4cast’s research cooperation with various universities and is actively involved in the scientific management of numerous master thesis and dissertations. Dr Mitev is a regular speaker at international conventions on liability driven investing, asset management, hedge funds, portable alpha, advanced quantitative studies, algo-trading and system research. Dr Mitev’s research is published on a regular basis in international journals and presented on international scientific conferences. Prior to joining Siemens Dr Mitev was at CA IB, the Investment Bank of Bank Austria Group, where he was in charge of the quantitative research of the securities research division. Dr Mitev received a Master of Economics and Business Administration with main focus on Investment Banking and Capital Markets. Dr Mitev also received a PhD in Economics with main focus on Finance and Econometrics. 11 08 38