Process in Portfolio Construction: Extending TA Thinking beyond Signal Generation Richard Waddington October 2015-10-15 Abstract: Technical Analysis offers many methods for using systematic processes to generate trading signals. In so doing, TA insulates traders from their own biases and leads to consistent trading. To take the next step and move beyond single-asset trade signals, the Technical Analyst needs to adopt similarly consistent techniques for taking risk, that is sizing single trades and then constructing portfolios of trades from his/her signals, taking into account the goals and targets of the portfolio, the skill set of the TA creating the signals, and the Portfolio Investors wishes. By doing so he/she will ensure that the work that has been done in signal generation is not lost through poor portfolio construction. The twin benefits of this approach are: Better Returns & Better Process These combine to make your more investable. This paper examines these techniques and sets out a framework for implementing a robust rigorous approach to portfolio construction. THE PROBLEM – TRADERS NEED TO CREATE A PORTFOLIO: Traditional T.A. gets you this far: The Technical Analyst’s Area of Expertise Charts T.A. Skills List of Positions GOOG AAPL MSFT IBM +1 -1 +1 -1 Then you have to do construct a portfolio. The Portfolio drives P&L, not the individual asset picks. Inputs List Of Positions GOOG AAPL MSFT IBM +1 -1 +1 -1 The Hard Part Position Sizing The Goal The Portfolio There are more than 6 million ways to create this portfolio!!! If you are looking at the 500 biggest stocks in the US, then you have to make 500 decisions in Stage #1: Buy/Sell or do nothing for each stock. If you choose 4 stocks, then in Stage #2 there can be more than 6 million ways to combine them into a portfolio. If you choose 8 stocks, there are over 150 million! WHY IS IT HARD? The best combination to unlock the perfect portfolio involves many competing inputs: Healthy Signal quality, Asset Choices, Market Structure, Skill levels Unhealthy Ego, Emotion, Mindset, Denial, Hope, Greed, Fear, Style Drift, Self-Perceived Status Important but often Ignored Investor (Client or Trader) Risk Tolerances and Targets Investpot exposure appetite to Sectors or Markets Advanced Requirements Factor Exposure, Sub-Portfolio Groupings, Per Asset Limits, Conviction, Liquidity, Trading Costs The Optimal Portfolio requires these inputs to be applied consistently every time. In order to do this, the conscientious T.A. needs 3 things: A framework for defining these inputs A mathematical formulation of these inputs A way to find the BEST combination out of the 150million (for 8 assets) that are possible One of the hardest problems is defining what you mean by ‘BEST’ WHAT IS BEST? Best means remaining close to what the investor/ provider of capital is looking for. It doesn’t necessarily mean highest return, or even highest Sharpe. Example: The funds shown below both have 19.7% annual RoR: The LHS one has a defined process for converting their analysis into asset weights in the portfolio, and they have stuck to that process for 15 years. That is to say: they have a defined process for trade sizing. The RHS one has a higher hit rate (% of trades that are ‘correct’ i.e. profitable = 65% vs 58% for LHS), and can be therefore considered to have better analysis, but has been inconsistent in the way that they constructed their portfolio, leading to a huge reduction in AUM from a max of 1.8bn to 120 m. By introducing process, you make better (= more investable) portfolios. AUM 2.2Bn USD AUM 120m (from a max 1.8bn) OPTIMALLY SIZING IS A PROCESS THAT MAKES YOU MORE INVESTABLE Investable portfolios need to take all the Investors wishes into account. That must start with allowing the investor to define their targets, their goals and their exposure requirements. The T.A must step away from his/her Signal analysis and look from the p.o.v of the Investor. Example: If you are creating a Trend-Following strategy and want to charge fees, then you need to be sure that you aren’t just replicating what a Trend-Following ETF (i.e. Pacer ETF) can do for a 0.40% p.a. fee. You must show, through looking at other factors that your ‘alpha’ is unique. That means taking a more holistic approach to creating a portfolio. The Trader looks down this list when making decisions TRADERS VIEW 1 Asset Selection 6 2 Conviction 5 3 Risk Limits 4 4 Gross Exposure Limits 3 5 Sector Exposures 2 6 Factor Exposures 1 INVESTOR/CIO VIEW The Investor or CIO looks up this list when making decisions Portfolio Construction provides a framework that unites these very different views. The Trader’s decisions and convictions are traded consistently with the requirements defined by the Investor/CIO. EXAMPLE: 4 PORTFOLIOS WITH SAME ASSET CHOICES, SAME LEVERAGE, BUT DIFFERENT OUTCOMES The Same Set of Asset Choices can lead to very different Portfolios with different P&L Outcomes for different Risk Tolerances. Note the Gross exposure is the same. Gross Date 198% 16-Mar 198% 30-Mar 198% 13-Apr 198% 27-Apr 198% 11-May 198% 25-May 198% 08-Jun Asset Original Portfolio 8536 JP 548 HK -11% -11% -11% -11% -11% -11% -11% UENV SP 8332 JP REC AU 152 HK -20% 11% 11% -20% 11% 11% -20% 11% 11% -20% 11% 11% -20% 11% 11% -20% 11% 11% -20% 11% 11% High Risk Portfolio Asset Gross Date 8536 JP 548 HK UENV SP 198% 16-Mar -15.0% -10.6% 14.2% 198% 30-Mar -15.0% -12.4% 14.8% 198% 13-Apr -14.8% -12.0% 14.8% 198% 27-Apr -14.8% -11.6% 11.8% 198% 11-May -15.0% -14.0% 13.4% 198% 25-May -15.0% -15.0% 13.2% 198% 08-Jun -15.0% -15.0% 5.2% 15% 15% 15% 15% 15% 15% 15% 11% 11% 11% 11% 11% 11% 11% 8332 JP REC AU 152 HK 13.0% 12.8% 12.8% 12.8% 13.0% 12.8% 13.0% 10.4% 9.4% 13.2% 13.8% 12.0% 10.4% 15.0% Asset Medium Risk Portfolio Gross Date 8536 JP 548 HK UENV SP 8332 JP REC AU 198% 16-Mar -15.0% -15.0% 15.0% 13.0% 15.0% 198% 30-Mar -15.0% -15.0% 15.0% 13.0% 15.0% 198% 13-Apr -15.0% -15.0% 14.8% 13.0% 12.4% 198% 27-Apr -15.0% -15.0% 15.0% 13.0% 15.0% 198% 11-May -15.0% -15.0% 11.6% 12.8% 15.0% 198% 25-May -15.0% -15.0% 2.6% 12.8% 14.8% 198% 08-Jun -15.0% -15.0% 2.6% 12.8% 14.8% 10.4% 12.2% 11.8% 11.4% 13.8% 14.8% 14.8% 152 HK -11% -11% -11% -11% -11% -11% -11% KEP SP -15% -15% -15% -15% -15% -15% -15% -11% -11% -11% -11% -11% -11% -11% SUN SP 5 HK KEP SP -12.2% -10.6% -15.0% -15.0% -10.8% -6.4% -14.6% -8.4% -10.4% -5.6% -8.4% -10.2% -13.0% -15.0% -15.0% -11.0% -14.8% -15.0% -12.8% -15.0% -11.4% SUN SP 5 HK KEP SP 14.8% -11.7% -2.5% -12.5% 14.8% -11.7% -2.5% -12.5% 14.8% -2.6% -5.2% -15.0% 14.8% -6.6% -2.5% -12.5% 14.8% -6.6% -3.0% -14.2% 14.8% -4.2% -15.0% -12.8% 14.8% -6.4% -10.2% -15.0% Asset Low Risk Portfolio Gross Date 8536 JP 548 HK UENV SP 8332 JP REC AU 152 HK 198% 16-Mar -11.8% -7.1% 11.3% 10.0% 6.6% 6.9% 198% 30-Mar -13.7% -8.0% 12.4% 12.0% 6.7% 7.8% 198% 13-Apr -14.8% -7.3% 12.1% 13.0% 8.2% 7.0% 198% 27-Apr -16.7% -8.3% 14.1% 15.0% 9.2% 8.0% 198% 11-May -17.0% -8.0% 14.9% 15.2% 8.7% 7.8% 198% 25-May -16.3% -10.8% 15.4% 14.5% 8.8% 10.6% 198% 08-Jun -15.9% -12.5% 15.9% 13.9% 9.3% 12.3% 116 SUN SP 5 HK SUN SP 5 HK -17.7% -13.7% -14.5% -12.1% -15.1% -13.0% -12.5% KEP SP -18.4% -7.9% -19.4% -7.0% -18.2% -7.3% -18.2% -7.3% -16.7% -8.2% -16.5% -8.8% -15.9% -10.0% 1398 HK 8008 HK 152 HK 2202 HK 11% 11% 11% 11% 11% 11% 11% 11% 11% 11% 11% 11% 11% 11% 2% 2% 2% 2% 2% 2% 2% 2% 2% 2% 2% 2% 2% 2% 1398 HK 8008 HK 152 HK 2202 HK 5.4% 2.6% 2.6% 6.8% 5.0% 9.4% 2.6% 1398 HK 2.5% 2.5% 2.6% 2.5% 2.6% 2.6% 2.6% 1398 HK 8.1% 6.5% 8.2% 7.3% 7.6% 7.1% 6.8% 10.4% 11.4% 4.6% 8.0% 6.0% 2.6% 3.4% 8008 HK 2.6% 2.6% 2.6% 2.6% 2.6% 2.6% 2.6% 152 HK 4.8% 4.8% 8.6% 5.8% 6.4% 4.4% 6.8% 8008 HK 2.5% 2.5% 2.6% 2.5% 2.6% 2.6% 2.6% 152 HK 10.6% 7.0% 6.5% 4.1% 5.5% 4.2% 2.8% 3.2% 3.4% 3.1% 3.2% 3.0% 2.9% 2.8% 8035 JP AMAT US -11% -11% -11% -11% -11% -11% -11% -11% -11% -11% -11% -11% -11% -11% 8035 JP AMAT US 4.4% 4.8% 6.6% 3.2% 4.4% 4.0% 5.2% 2202 HK -15.0% -15.0% -15.0% -15.0% -15.0% -15.0% -15.0% -15.0% -15.0% -15.0% -15.0% -15.0% -15.0% -15.0% 8035 JP AMAT US 6.2% 6.2% 7.0% 8.7% 8.8% 13.4% 10.6% 2202 HK -15.0% -15.0% -15.0% -15.0% -15.0% -15.0% -14.8% -15.0% -15.0% -15.0% -15.0% -15.0% -15.0% -14.8% 8035 JP AMAT US 3.2% 3.4% 3.1% 3.2% 3.0% 2.9% 2.8% -17.7% -17.4% -17.4% -15.8% -14.9% -15.0% -15.0% -18.4% -19.4% -18.2% -18.2% -17.2% -16.5% -15.9% 6857 JP LRCX US 18% 18% 18% 18% 18% 18% 18% 6857 JP LRCX US 15.0% 15.0% 14.8% 14.8% 15.0% 14.8% 15.0% 15.0% 15.0% 15.0% 15.0% 15.0% 15.0% 15.0% 18.4% 17.1% 18.2% 16.0% 15.8% 15.4% 15.3% Medium Risk Portfolio Low Risk Portfolio Original Portfolio 101 96 16-Mar 23-Mar 30-Mar 06-Apr 13-Apr 20-Apr 27-Apr 04-May 11-May 18-May 25-May 01-Jun 08-Jun 15.0% 15.0% 15.0% 15.0% 15.0% 15.0% 14.8% 6857 JP LRCX US High Risk Portfolio 106 15.0% 15.0% 15.0% 15.0% 15.0% 15.0% 15.0% 6857 JP LRCX US Cumulative P&L March 2015- Jun 29015 for a L/S Portfolio, showing different outcomes for Different prescribed Risk Tolerances 111 11% 11% 11% 11% 11% 11% 11% 15-Jun 17.4% 19.4% 17.7% 18.2% 16.5% 16.3% 15.9% IF YOU GET IT RIGHT, WHAT DOES IT LOOK LIKE? P&L will be improved, and this is seen over time: we can also look at a snapshot of a properly constructed portfolio vs. one that has been constructed without using any defined method. Again these are real examples from a Fund Manager. Portfolios Before and After Optimal Construction Properly constructed portfolios have higher weights for assets that are negatively correlated to the whole portfolio, and assets that have been assigned a higher conviction by the Trader. In these portfolios, conviction drives the ‘effective risk’. The contribution to risk of an asset is driven by the conviction (the Strength of Signal). These Portfolios also fit any defined asset, country, sector and factor exposure limits. WHAT DOES THIS DO TO P&L? IT ENHANCES IT. This graph shows the performance of an Global Equity Long/Short Hedge-Fund Portfolio (250m USD) through the summer of 2015: Two portfolios were run in parallel, one with the portfolio weightings optimally calculated by the ORS system, and one without. Note that this portfolio has constraints across market sectors, countries, and Net and Gross exposures, all of which are preserved across the two portfolios. Trading costs are included in the calculations for both portfolios. These are real numbers. In this case the Trader’s signal resulted in good asset & conviction calls. The portfolio that was properly sized outperformed, returning an extra 1.1% over 3 months and having a higher Sharpe. If asset calls are not as successful, the effect of having lower weights for positively correlated assets reduces the impact of the poor call on portfolio P&L. FURTHER EXAMPLES The graph below shows the Cumulative P&Ls for a large (500m USD+) Macro Hedge Fund that trades in liquid futures and FX. The nature of the fund is to take large positions for short periods (1-3 days). The Fund performed very well over the 3.5 years of this analysis (Red line), but as can be seen had highly variable exposure and no consistent way of describing their portfolio. When the same asset selection decisions are made, at the same time with the same execution prices, the P&L from the optimally weighted portfolio (Blue line) is demonstrably better, both in terms of returns and Sharpe. ORS Sized and Fund YPortfolio P&L 150.00% 500.00% 147.50% 145.00% Fund Y Sharpe = 1.4 450.00% ORS Sharpe=1.6 400.00% Fund Y Gross Exposure 350.00% 142.50% 140.00% 137.50% 135.00% 132.50% 130.00% 127.50% 125.00% 122.50% 300.00% ORS Gross Exposure 120.00% 250.00% 117.50% 115.00% 200.00% 112.50% 110.00% 150.00% 107.50% 105.00% 102.50% 100.00% 100.00% 97.50% 50.00% 95.00% 92.50% 90.00% 01/04/2012 18/10/2012 06/05/2013 22/11/2013 10/06/2014 27/12/2014 15/07/2015 0.00% 31/01/2016 By introducing a rigorous optimal sizing process into the Funds workflow, the Managers were able to demonstrate adherence to procedures that emphasised the quality of their signal selection without the damaging effects of inconsistent sizing and human biases. This in turn made them more investable. FINAL EXAMPLE: SIZING AS DIFFERENTIATOR This particular Fund manager needed to differentiate themselves in a competitive bid for assets. They showed the investor (a Government-run pension scheme) the following graphs, demonstrating how their new Optimal Risk Sizing approach would help them in both rising and flat/volatile markets. The graph shows how they would have performed (Blue line) based on actual performance (Red line), given their new Risk Sizing approach. They won a 300m USD 4 year mandate from this pitch. Account 1 Results With/Without Optimal Risk Sizing 3000 10000 Actual P&L 9000 Optimally Sized P&L 2500 8000 Index 2000 7000 6000 1500 5000 1000 4000 3000 500 2000 0 14-Sep-11 01-Apr-12 18-Oct-12 06-May-13 22-Nov-13 10-Jun-14 27-Dec-14 -500 15-Jul-15 1000 0 Account 2 Results With/Without Optimal Risk Sizing 2500 10000 Actual P&L 9000 2000 Optimally Sized P&L 8000 Index 1500 7000 6000 1000 5000 500 4000 0 01-Apr-12 3000 18-Oct-12 06-May-13 22-Nov-13 10-Jun-14 27-Dec-14 15-Jul-15 31-Jan-16 2000 -500 1000 -1000 0 SUMMARY: THE IMPACT OF PORTFOLIO CONSTRUCTION When you build a framework for formulating the right inputs and then consistently apply them to the asset selections that come from your TA signal, you build a wall around your biases and let your quality analysis through. You end up with a better portfolio, better returns & a better process, all of which make you more investable. Your asset-by-asset T.A. is good, but when you build the portfolio you introduce biases that negatively impact performance. ORS build a wall around your biases & lets your skill through The Technical Analysts’ Expertise Trade by Trade T.A. Signals Each Asset: Buy, Sell, Do Nothing List of Positions Portfolio Construction You replace the biases and inconsistent inputs with clear objectives. Portfolio SO WHAT IS THE CALCULATION? There are 4 levels of inputs needed to perform this calculation. Note that implicitly you are already defining all these parameters when you construct a portfolio, but you will be unable to be consistent about it, rather like creating T.A. decisions by eyeballing charts rather than rigorous analysis. 1. Take inputs from the Trader that change as the asset decisions are changed The Positions you want to buy/hold/sell. The T.A’s skill is in making and timing these decisions, based on Technical analysis Market Data 2. Take inputs regarding what the Portfolio is trying to achieve Portfolio Risk Tolerance and Portfolio Goals 3. Take constraints and conviction information on three levels: the Portfolio, Sub Portfolios and Assets Risk and Factor Exposures Sub Portfolio Net and Gross Limits Asset constraints (min/max size) and conviction levels 4. Take at a Portfolio or Asset level a measure of the quality of the decision making and the overall exposure limits This is similar to considering the historical Sharpe ratio of the Trader It is important to consider practical limits imposed by trading costs and market liquidity to create a Practical Optimal Portfolio, “The POP”, as well as a Benchmark Optimal Portfolio “The BOP”. Hence you need to take into account the volatility of each asset and the trading cost of that asset. EXAMPLE INPUTS 1. Asset Directions and Market Data Header 8536 JP Position Short 548 HK Short UENV SP Long 8332 JP REC AU Long Long 152 HK Long SUN SP Short 5 HK Short 2. Portfolio Risk Tolerance, showing the ‘utility’ function of the portfolio 3. Sub Constraints and Groupings for a multi currency stock portfolio Group Portfolio Currency Currency Currency Currency Currency Currency Sector Sector Sector Sector Sector MarketCap Factor Momentum Factor Identifier All TWD JPY HKD KRW USD CNY Tech Util Health Materials Finance MarketCap Momentum minNet -10.0% -4.44% -3.24% 0.93% -0.64% 0.84% -0.51% -4.44% -3.24% 0.93% -0.64% 0.84% (150) (5) maxNet 10.0% -3.43% -2.23% 1.95% 0.37% 1.86% 0.51% -3.43% -2.23% 1.95% 0.37% 1.86% minGross 101.5% 22.55% 14.18% 2.11% 8.21% 1.41% 0.00% 22.55% 14.18% 2.11% 8.21% 1.41% 150 5 4. Portfolio Estimated Sharpe and Net/Gross Constraints maxGross 120.0% 62.32% 39.17% 9.73% 22.68% 8.25% 0.67% 62.32% 39.17% 9.73% 22.68% 8.25% 450 600 20 KEP SP Short AND HOW DO YOU DO THIS CALCULATION? 1. Consider all the inputs, and represent them mathematically. 2. Search all possible Portfolios that comply with the input constraints above, for the Portfolio that has the ‘Best' weighting of assets. ‘Best’ means the one that gives the highest ‘Utility’ of returns. ‘Utility’ is defined by measuring the returns against Input #1 “What I am trying to Achieve?” Utility measured not as an absolute ‘Best’ but as a stable best. It is important tio create a portfolio that is stable over time rather than just one that is instantaneously optimal. To perform the search, you must build a risk model to compute the utility of returns by taking the historical data, and adjusting it for individual asset convictions and any forward looking estimates as given by the user. Note for a portfolio of 10 assets, each of which can be between 5% & 15%, there are 10bn possible combinations, just looking at integer %. If the Portfolio has to be exactly 100% invested, the number is about half that. Methods for performing this search of all the possible combinations of assets include dimension reduction (PCA), Monte-Carlo and multi-generational optimiser techniques. These are well established techniques in academic, engineering, science and finance which go beyond the scope of this paper. The purpose of this paper is not to describe these techniques, but rather to describe how to create a framework in which you can use them to build your portfolio. There are practical considerations w.r.t the stability of solutions found by such techniques in general, so please note that experience dealing with multi-variate optimisers in finance is essential. EXAMPLE OUTPUTS The primary output is the Optimal Weightings for each asset in the Portfolio ORS Weighting 8536 JP Equity 548 HK Equity UENV SP Equity 8332 JP Equity REC AU Equity 152 HK Equity SUN SP Equity 5 HK EquityKEP SP Equity 1398 HK Equity -9.6% -5.8% 9.2% 9.8% 5.4% 5.6% -14.4% -15.0% -6.4% 6.6% Subsidiary outputs can be snapshots of the portfolio correlation, historical P&ol and other simple risk analytics to demonstrate the value of correctly sizing the sassets int jhe portfolio. We can look at them in a Data Visualisation tool, here it is Tableau: The T.A. must decide what to do with the information: the simplest choice is to use this approach to size your trades directly, but we have also seen people using it as a tool for communicating the reasons for out-sized (or undersized) positions l to Investors and Managers and having Pre-p&L discussions around the portfolio. SUMMARY The Technical Analyst can extend the power of his/her T.A. techniques to the creation of the whole portfolio by following the same rigour and discipline in Portfolio Construction as he/she does in signal generation. In so doing he/she will ensure that the work that has been carried out in generating signals is not wasted by taking inappropriate portfolio risk. And as result the T.A. will enjoy better returns, a smoother process and better relations with all the stakeholders in their investments. The problems that need to be solved are mathematically difficult, and generally require access to a reasonable amount of computing power, these days easily available through cloud based SaaS programs. And the Technical Analyst will have to remove from the decision making process all the loopholes that allow him/her to game the system. Any Technical Analyst who wants their work to be applied seriously in the context of commercial Asset Management needs a real industrial-strength process for converting good asset analysis into great portfolios. This will make them investable and help them with their day-to-day process. This starts with honesty about the objectives, clarity about the constraints and the ability to be ego free about your work. These are all characteristics of a successful T.A. and Portfolio Construction is a logical and easy next step for the T.A. who has embraced these ideas. This will lead to transparency around processes and returns that show the true value of our analysis, thereby opening up your portfolio to further investment. AUTHOR BIOGRAPHY Richard Waddington Richard has worked in mathematical finance for 20 years, starting as a junior trader in Bankers Trust’s London FX derivatives desk, and continuing on through stints in New York, Tokyo and Singapore as a Trader, Business Head and technology entrepreneur. Richard’s interest has always been in putting process in place in complex business situations. Richard graduated from Cambridge University, having read undergraduate Physics and Mathematics and post-graduate Manufacturing Engineering. FURTHER READING AND BIBLIOGRAPHY HARRY M. MARKOWITZ - AUTOBIOGRAPHY, THE NOBEL PRIZES 1990, EDITOR TORE FRÄNGSMYR, [NOBEL FOUNDATION], STOCKHOLM, 1991 MERTON, ROBERT. "AN ANALYTIC DERIVATION OF THE EFFICIENT PORTFOLIO FRONTIER," JOURNAL OF FINANCIAL AND QUANTITATIVE ANALYSIS7, SEPTEMBER 1972, 1851-1872. RODIE, DE MOL, DAUBECHIES, GIANNONE AND LORIS (2009)."SPARSE AND STABLE MARKOWITZ PORTFOLIOS". PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES 106 (30). CHANDRA, SIDDHARTH; SHADEL, WILLIAM G. (2007). "CROSSING DISCIPLINARY BOUNDARIES: APPLYING FINANCIAL PORTFOLIO THEORY TO MODEL THE ORGANIZATION OF THE SELF-CONCEPT". JOURNAL OF RESEARCH IN PERSONALITY 41 (2): 346–373 ROSS & NISBETT (1977) “THE PERSON AND THE SITUATION, PERSPECTIVES OF SOCIAL PSYCHOLOGY”
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