Xavier Student Investment Fund Creation of an Equity Fund Proposal Xavier Student Investment Fund Semiannual Meeting December 6, 2007 XAVIER STUDENT INVESTMENT FUND CREATION OF AN EQUITY FUND PROPOSAL XSIF Equity-Fund Task Force MBA Student Fund Managers 2007-2008 Student Fund Managers Mrinalini Ayachit David Dury David Beckett Andrew Lobas Scott Krajewski Michael Raidt Jonathan Pickard Nicholas Trivett Christopher Wimsatt Board of Directors Xavier Student Investment Fund J. Hunter Brown, Watson Wilkins & Brown, LLC John E. Callahan, O’Connor & Company LLC William Cousins, III, Cornerstone William Effler, American Money Management Brian Gilmartin, Trinity Asset Management Coleman Goldsmith, Smith Barney Richard Hirte, Vice President of Finance, Xavier University R. Bryan Kroeger, US Bank Lawrence Leser, E.W. Scripps Ali Malekzadeh, Dean, William College of Business, Xavier University Matthew McCormick, Bahl & Gaynor Investment Counsel Joseph McManus, Morgan Stanley James Pawlukiewicz, Department of Finance, Xavier University Kim Renners, Ohio Casualty Group J. Patrick Rogers, Gateway Investment Advisers, Inc James Schade, Merrill Lynch Shelly Webb, Chair, Department of Finance, Xavier University 1 CREATION OF AN EQUITY FUND PROPOSAL TABLE OF CONTENTS 1. SUMMARY AND RECOMMENDATIONS 3 2. FACTORS TO CONSIDER IN FORMING AN EQUITY FUND 6 3. PROPOSED INDEX, STYLE, AND MANAGEMENT 9 4. PORTFOLIO 17 5. SIMULATED PORTFOLIO 18 6. MANAGING THE EQUITY FUND WITH THE FIXED-INCOME FUND 23 7. FORMATION OF THE FUND 25 APPENDICES APPENDIX A: FUNDAMENTAL ANALYSIS OF COACH USING MULTIPLIER APPROACH 28 APPENDIX B: RISK-ATTRIBUTES MODEL 32 2 1. SUMMARY AND RECOMMENDATIONS Background On November 15th, 2004, the Xavier Student Investment Fund (XSIF) began managing $1,000,000 of Xavier’s endowment as a fixed-income fund. Currently, the 2007-2008 XSIF edition represents the sixth management team to assume the responsibility of the fixed-income fund. By most accounts, the XSIF fund experience has met the objectives that were proposed for the fund when it was created: To provide students with hands-on experience in the establishment of investment objectives and policies, identification of investment strategies for trading fixed-income securities, and monitoring and reporting portfolio performance; To enhance career opportunities for students and gain additional visibility for the Xavier University finance program in the business community; To extend and develop ties between Xavier University and the community of investment professionals; To attract high-quality students with an interest in business to Xavier; To provide additional visibility for the Williams College of Business; and To provide investment income to support the educational mission of Xavier University. At the 2007 Xavier Student Investment Fund Annual Meeting, Father Graham raised the question of whether the XSIF’s responsibility, as well as educational experience, should be expanded to include the management of an equity fund. In a letter to Father Graham and the Board of Trustees, the Xavier Student Government also expressed their interest and support for the development of a student-managed equity fund. In response to this interest, the Xavier Student Investment Fund Board of Directors recommended at their 2007 Annual Meeting that the XSIF fund managers examine how a student-managed equity fund could be formed and managed. During the summer of 2007, the MBA XSIF Fund Managers formed a task force to examine the construction and management of an equity fund. Led by Mrinalini Ayachit and David Beckett, the Equity Fund Task Force examined: Different indices against which to manage the fund Different investment styles and management approaches Quantitative and qualitative models for evaluating sectors and companies Data and informational sources for evaluating securities Bloomberg data and analytical functions for evaluating indices, sectors, and companies Bloomberg analytical functions for evaluating portfolios Operational structures for managing the fund In September, five fund managers of the new 2007 XSIF joined the task force. This group worked with Mrinalini Ayachit and David Becket to: 3 Complete the analysis Conduct mock exercises on selecting stocks Simulate an equity portfolio The Task Force also held several meetings on the direction of the fund with Bill Effler, Lawrence Leser, Matthew McCormick, Kim Renners, James Schade, Jamie Wilhelm, Tim Kruse, and Shelly Webb. Proposal After completing its analysis on the construction and management of an equity fund, the Equity Fund Task Force recommends that consideration be given to an equity index fund with the following index, investment style, and strategic and management approaches: Index: S&P 500, with later consideration to changing the index to the S&P 900 or Russell 3000. Style: Combination of value and growth for S&P 500; later consideration to combinations of value/large-cap, value/mid-cap, growth/large-cap, and growth/mid-cap. Strategy: Tactical strategy to determine the value and growth mix for the S&P 500; later a tactical strategy to determine the allocation to value/large-cap, value/mid-cap, growth/largecap, and growth/mid-cap. Top-Down Approach: Use three-step approach: Macroeconomic, Industry, and Firm Analysis To set up the equity fund, the Equity-Fund Task Force proposes that a student equity fund team and an equity fund task force be formed: The Student Equity Fund Team would be responsible for setting up the initial fund based on the index fund described in this report. They would also develop the operational structure needed to manage the fund. The team would consist of several of the current XSIF fund managers, two 2007 MBA fund managers, several finance majors (preferably juniors), and several MBA students concentrating in Finance. The Equity Fund Task Force would be responsible for providing advice to the Student Equity Fund Team and making recommendations on the fund’s overall structure, by-laws, and management. This would include recommendations on whether the fund should be part or separate from the fixed-income fund, the structure of the investment board, the MBA and undergraduate arrangements for the management of the fund, and the trading and custodial arrangements. The task force would also make recommendations to the Finance Department concerning academic credits. The task force would consist of several members of the 4 Finance Department, members of the XSIF Board, people nominated by the XSIF Board, and a member of the Board of Trustees or a person or persons nominated by the Board. To facilitate communications between the Equity-Fund Team, the Task Force, and the finance department, the XSIF Equity Fund Task Force recommends that the XSIF Fund Advisor and Professor serve on both the team and task Force. Finally, the XSIF Fund Task Force recommends the following time table and tasks: March 1, 2008: The Equity Fund Team would be expected to complete its portfolio construction. It would present a report to the Equity-Fund Task Force and the Department of Finance. March 10, 2008: Equity-Fund Task Force would evaluate the portfolio and make its recommendations. It would then submit a report to the XSIF Board. March 15, 2008: Special meeting of the XSIF Board to evaluate the recommendations of the Equity Fund Task Force and Equity Fund Team. The XSIF Board would then make a recommendation to the Department of Finance on the proposed equity fund. April 1, 2008: The Department of Finance would submit its recommendation to the Finance Subcommittee of the Board of Trustees. April 15, 2008: If approved, the Department of Finance would begin selecting students to manage the fund. June 15, 2008 or September 1 2008: XSIF Fund Managers would begin managing the fund. The actual date would depend on the decision made on the type of MBA and undergraduate management structure recommended for the fund. In this report, a proposed XSIF Equity Fund is explained. The next section examines the issues and factor involved in setting up an equity index fund. Section 3 delineates the features of the proposed fund and explains how it could be managed. In Section 4, the portfolio is described and in Section 5, the performance of a simulated portfolio is presented. Section 6 then discusses the possible benefits of combining the management of the proposed equity fund with the current fixed-income fund. 5 2. FACTORS TO CONSIDER IN FORMING AN EQUITY FUND The development and management of an equity index fund requires determining the following: The index against which to manage the fund The fund’s styles and sub-styles The use of a passive or tactical management approach The use of a top-down or a bottom up management approach Index The first step in constructing the fund is to select an appropriate index. Possible indices to consider include: S&P 500: S&P 500 is a broad market portfolio. The index addresses the needs of investors who want to allocate assets to a relatively large universe. S&P 900: S&P 900 is a broad market portfolio representing the large-cap and mid-cap of the U.S. equity market. This combination addresses the needs of investors who want to allocate assets to a broader large cap universe, beyond the S&P 500. S&P 500 makes up approximately 92% of this index and the S&P Mid-Cap 400 makes up the remaining 8%. Russell 1000: The Russell 1000 Index offers investors access to the extensive large-cap segment of the U.S. equity universe representing approximately 92% of the U.S. market. The Russell 1000 includes the largest 1000 securities in the Russell 3000. Russell 3000: The Russell 3000 Index offers investors access to the broad U.S. equity universe representing approximately 98% of the U.S. market: large-cap, mid-cap, and smallcap stocks. The broader indices would give the fund an exposure to a larger number of companies and the ability to classify the fund into more equity styles (e.g., large, mid cap, and small cap). Style and Sub-Styles The second step in forming the index fund is to identify the specific style of management. Equity management styles are typically broken into two major categories: value stocks and growth stocks. Sub-categories are often formed within these two groups: small cap, large cap, low price-to-earnings (P/e), high P/e, and the like. The most common way to classify value and growth stocks is to use a stock’s relative price-to-book value ratio (P/B): growth stocks have relatively high P/B ratios; value stocks have relatively low P/B ratios. One way to identify value and growth stocks is to rank the 6 stocks comprising a sample or an index by their P/B ratios.1 An alternative to the ranking method is to use a mutiple-index measure that provides a score.2 Within a style, portfolio managers can create other groupings or sub-styles. Examples include: 1. Within a value or growth style, sub-styles based on size: small-size value, large-size value, small-size growth, and large-size growth. 2. Within a value or growth style, sub-styles based on financial ratios. 3. Within a value or growth style, sub-styles based on financial ratios. 4. Within growth style, sub-styles based on high growth, low growth, above-average growth, volatility, and the like. 5. Within a broad index, sub-styles based on size or ratios: S&P Mid Caps, S&P Small Caps, or P/E growth (PEG) Portfolios. It should be noted that the selection of a broader index would give the fund an exposure to a larger number of companies and the ability to classify the fund into more sub-styles. For example, the Russell 3000 consists of large-cap, mid-cap, and small-cap stocks, allowing value, growth or value/growth blend styles to be combined with three sub-styles. Investment Style Matrix Value Blend Growth Large Cap Mid Cap Small Cap Passive or Active Management The third step is to determine whether the management of the index fund is to be either passive or tactical. The objective of a passive strategy is to replicate the specified index and style, while the 1 An example of a ranking approach would be to (1) Select a large sample of stocks (1,000) or the stocks comprising a broad index; (2) determine the sample’s total market value; (3) compute each stock’s P/B ratio; (4) rank stocks from low to high by P/B; (5) define value stocks as all those stocks that encompass the first half of the market value (or some defined percentage); (6) define growth stocks as all those stocks that encompass the second half of the market value (or some percentage). 2 D For Example: Score i w 1 w 2 ROE i w 3 Variation in Earnings P i 7 i aim of a tactical strategy is to enhance returns by changing the asset mix in response to changing market conditions or return patterns. For example, a ‘Value/Growth Stock Changing Strategy’ would involve changing or tilting a portfolio from value to growth or growth to value when conditions dictate. Another tactical approach is to use a factor model to change a portfolio based on the stock’s sensitivity to certain factors: inflation, interest rates, and aggregate output.3 A study of the monthly returns earned from value and growth style investments by Leinweber, Arnolt, and Luck found that $1 invested in 1975 in a value-grouped portfolio would have grown to $23 by 1995, while $1 invested in a growth-grouped portfolio would have grown to only $14. However, the study also found that in 45% of the months in the sample, growth stocks outperformed value. This suggests that with perfect foresight, an investor switching from growth to value would have realized $45. More recent findings from the Russell U.S. Index fact sheet show that over longer time periods of 5 years and 10 years, value stocks have generally outperformed growth. However, the study also found that there were multi-year periods when the growth stocks did better than value ones. For example, during the technology bubble period, as well as this past year, growth stocks outperformed value stocks. These findings indicate advantages to a tactical strategy if an effective ‘style-switching discipline’ can be developed. Top-Down or Bottom-Up The final step is to determine whether to use a top-down or bottom up approach. Fundamental stock analysis that employs a top-down method typically uses a three-step approach in which economic and industry analyses are used as inputs in selecting a stock. This approach starts with an analysis of the aggregate economy and an identification of macroeconomic trends. The macroeconomic analysis is, in turn, followed by an industry assessment to determine which sectors will do well given the overall economic outlook. Finally, there is assessment of companies within industries to try to determine which stocks investors should buy. In contrast, a bottom-up approach involves studying companies and selecting stocks independent of economic and industry factors. Many security analysts and academics advocate the top-down approach to stock selection as preferable based, in part, on evidence that shows that general economic conditions tend to affect all companies. A recession, for example, not only adversely affects the earnings of bad companies, but good companies as well. The top-down approach is also empirically supported; studies have shown that there is a significantly high percentage of both company and industry earnings that can attributed to aggregate economic activity. 3 Portfolios constructed from multifactor/arbitrage pricing theory analysis are called factor models. These include statistical and macro fundamental models. Statistical factor models are based on explaining security and portfolio returns based on artificial factors created from factor analysis. Many of the macro fundamental models are rooted in the works of Chen, Roll, and Ross and Burnmeister and McElroy. Most of these are proprietary models. However, one published model of note is the Risk Attributes Model – RAM (see Appendix B). 8 3. PROPOSED INDEX, STYLE, AND MANAGEMENT Given the different indices, styles, sub-styles, and management approaches, the XSIF Equity Fund Task Force recommends the construction and management of an equity-style index fund with the following properties: Index: S&P 500, with later consideration to changing the index to the S&P 900 or Russell 3000. Style: Combination of value and growth for S&P 500; later consideration to combinations of value/large-cap, value/mid-cap, growth/large-cap, and growth/mid-cap. Strategy: Tactical strategy to determine the value and growth mix for the S&P 500; later a tactical strategy to determine the allocation to value/large-cap, value/mid-cap, growth/largecap, and growth/mid-cap. Top-Down Approach: Use three-step approach: macroeconomic, industry, and firm analysis Index The S&P 500 is a relatively broad index that can be divided into value and growth stocks. The plan to later move the index to the S&P 900 is based on increasing the number of mid-cap stocks for consideration. Moreover, once the fund managers develop an expertise in fundamental stock analysis, consideration could then be given to changing the index to either the Russell 3000 or to forming a customized index (e.g., 85% in S&P 900 stocks and 15% in small-cap stocks). Style: Value and Growth Using Tactical Allocation Value stocks generally experience less volatility than growth stocks and potentially offer stronger performances during slower-growth environments. By contrast, growth stocks are more volatile and typically are associated with higher levels of risk, but higher expected returns. They tend to outperform value stocks during stronger growth periods. By combining both growth- and value-oriented stocks, the fund realizes better diversification benefits. The fund managers would be responsible for making the tactical decision on the value/growth mix. This would require developing an expertise in estimating the sensitivities of growth- and value-oriented stocks to general economic and market conditions and in forecasting changes in those conditions. Operationally, the fund managers’ decision would be either to keep the valuegrowth mix similar to the index or to tilt the fund more towards one style. Similar decisions would be made if the fund were broken into sub-styles. For example, in determining the allocation to value/large-cap, value/mid-cap, growth/large-cap, and growth/mid-cap, managers would again have to develop an expertise in estimating the sensitivity of different style-orientated stocks to general economic and market conditions and in forecasting changes in those conditions. 9 S&P 500 Pure Style Indices In initially forming the portfolio, one approach is to use the S&P 500 pure styles indices to define and identify value and growth stocks. The S&P Style Series puts every constituent of the parent index into a style basket. The style series only includes those constituents of the parent index that exhibit very deep growth or value characteristics. The Pure Style indices present investors with a concentrated set of growth and value stocks that exhibit strong style characteristics. The style indices measure growth and value across separate dimensions using the following seven factors – three to measure growth and four to measure value: Growth Factors 1. 5-Year Earnings-per-Share Growth Rate 2. 5-Year Sales-per-Share Growth Rate 3. 5-Year Internal Growth Rate Internal Growth Rate = (ROE)(Retention Rate) 1. 2. 3. 4. Value Factors Price-to-Book Value Ratio Price-to-Cash Flow Ratio Price-to-Sales Ratio Dividend Yield These factors are then standardized and used to compute a growth score and a value score for each company. The growth score is calculated as the average of the three growth factors and the value score as the average of the four value factors. The scores are then used to determine each company’s style attractiveness. Currently, the S&P Pure Growth Style Index contains 151 stocks and the Pure Value Style Index contains 141 stocks. If this approach were used to define value and growth styles, then from this investment universe, fund managers would have 292 stocks from which to select. Excluded from the list would be 208 of the S& P 500 stocks that would be considered a mix between pure value and pure growth. Sectorwise Allocation An index can be broken down into sector allocations. In managing the portfolio, fund managers can determine the allocation to each sector relative to the index using sector and industry analysis. They can also evaluate the overall fund relative to the index by knowing its sector breakdown. Bloomberg (using the BICS method) initially breaks down an index into the following 10 sectors: 10 1. Basic Materials 6. Energy 2. Communications 7. Industrial 3. Consumer Cyclical 8. Technology 4. Consumer Non Cyclical 9. Healthcare 5. Financial 10. Utilities Each Sector can be further classified into various industries and sub-industries. If the fund were managed in terms of S&P 500 pure growth and value style indices, the 151 pure growth stocks and 141 pure value stocks could be broken into the 10 sectors, with the stocks in each sector being further classified as growth or value. Exhibit 1 shows a sector breakdown of the 292 stocks by growth and value. Exhibit 1: Value and Growth Stocks by Sector Sectors Energy Materials Industrials Consumer discretionary Consumer Staples Healthcare Financials Information Technology Communiations Utilities Growth Value Total 14 6 14 25 47 0 10 24 10 1 3 14 14 17 17 0 33 4 14 25 17 20 28 42 64 0 43 28 24 26 Total % 5.82% 6.85% 9.59% 14.38% 21.92% 0.00% 14.73% 9.59% 8.22% 8.90% Growth % 9% 4% 9% 17% 31% 0% 7% 16% 7% 1% Value % 2% 10% 10% 12% 12% 0% 23% 3% 10% 18% S&P500 % 10.79% 3.12% 11.43% 10.20% 9.29% 11.67% 20.77% 15.45% 3.75% 3.51% 151 141 292 Note: The zero allocation to healthcare is a result of this sector not being either pure growth or value. Given a listing of possible value stocks and growth stocks by each sector, fund managers would be able to conduct sector analysis to determine which sectors to overweight and which to underweight relative to the index. Moreover, when managers combine sector analysis with the tactical strategy they want to implement, they will be able to determine how the growth and value allocations in each sector should be tilted. 11 Top-Down, Three-Step Approach A top-down, three-step approach uses macroeconomic, industry, and firm analysis to evaluate and manage the overall portfolio, sectors, and stocks. For this portfolio, fund managers would: Use macroeconomic and market analysis combined later with factor analysis to determine changes in the allocation to the value and growth styles relative to the S&P 500 index (and later to determine changes in the allocation to value/large-cap, value/mid-cap, growth/largecap, and growth/mid-cap). Use macroeconomic and market analysis as information for industry and sector analysis. Use fundamental industry and sector analysis to determine allocations to sectors relative to the index’s sector allocation. Use fundamental stock analysis to evaluate companies and identify underpirced and overpriced stocks for buy and sell decisions. Macro Analysis In addition to using macroeconomic analysis to determine the allocation to styles and sub-styles, fund manager also would use such analysis to determine how a specific industry relates to the business cycle and what general economic variables influence the industry. As a general approach, fund managers would identify key economic indicators that are indicative of the broader economy. Operationally, a manager (or team of managers) would be responsible for monitoring and assessing two to three economic indicators. From this analysis, managers would try to identify a broad direction of the economy and potentially identify specific sectors that may capitalize on the present trends. In their broad market assessment, some of the factors and relations managers would need to identify would be: Broad Economic Market Factors and Relations to Identify Indicators: Leading and lagging economic indicators Consumer confidence, consumer spending, interest rate movements, inventory reports, manufacturing sales, retail sales, and new home construction Identification: Identify how indicators relate to specific sectors Identify key demographic tends: baby boomers, discretionary income of teenagers, health initiatives, and working parents Identify what markets and sectors can capitalize on current market conditions Determine how different sectors would be affected if the economic expectations are realized 12 Sector/Industry Analysis Sector/industry analysis is the next step in a top-down, three-step approach to fundamental stock analysis. Such analysis is important if there are differences in the performances among different industries. If the aggregate stock market, for example, is expected to generate a 12% rate of return, while the return amongst all industries only ranges between 11% and 13%, then there would not be much purpose in conducting an industry analysis: one could get a 12% expected return by just randomly selecting industries. Studies of industrial performance, though, do show a wide dispersion in the rates of return among industries.4 Ultimately, fund managers will need to develop methodologies for finding the right stocks. It is easier, though, to find a good company and stock from a good industry, than to find a good company and stock from a bad or declining industry. In evaluating sectors, fund managers would be responsible for evaluating each of the 10 sectors, as well each sub-sector and industry. Operationally, fund managers, either individually or as a team, would analyze assigned sectors using both quantitative and qualitative analysis. Each manager or team would develop an expertise in their assigned sector. They would know (1) the nature of each industry in terms of its current stage of development and its interrelationship with other industries in the economy; (2) the relationship of the industry to the overall economy; (3) how the broad market trends relate to different industries. Managers would also need to do industry analysis to identify important competitive forces: rivalries among existing competitors, threat of new entrants, barriers to entry, threat of substitute products, bargaining power of buyers, and bargaining power of suppliers. This analysis would be used as inputs in conducting firm analysis. Some of the key factors that managers would consider in their sector/industry assessment include: Sector/Industry Analysis Factors to Consider and Relations to Identify Identification of sector trends o Rationalizing the trend: Are the trends due to consumer behavior? Is the industry vulnerable to broader economic influences? o Research sectors using Bloomberg, Compustat, and other resources to analyze sector trends o Complete a SWOT of the entire sector o Determine if the fund should overweight or underweight the sector Identification of subsectors that provide the most opportunities Identification of competitive advantages through subsectors o Supply – proprietary technology and privileged access to resources o Demand - high switching costs and customer captivity o Economies of Scale – cost/unit decline as volume increases Identification of subsectors that have the most upside potential. In 1995, for example, the S&P 500 increased 37.6%, with the performances among industries ranging from -15% (trucking industry) to 80% (biotech). 4 13 Firm Analysis The final step is to conduct fundamental stock analysis. Operationally, fund managers would be responsible for evaluating each of the stocks in their sector. In forming the fund, the initial decisions would involve selecting the stocks for the fund. Once the fund is constructed, the analysis would involve evaluating stocks (held and not held). Managers would recommend: Holding or selling a currently held stock Increasing or decreasing the stock’s allocation Adding a new stock to the portfolio Swapping a new stock for a current stock in the portfolio Determining the timing of the buy, sell, or swap decision In conducting fundamental analysis, managers would use both quantitative and qualitative analysis to determine whether a stock is underpriced or overpriced. They would also be responsible for timing decisions and would therefore have to use some technical analysis. Quantitative methods managers would use include: performance ranking and valuation using the multiplier and discounted cash flow models. Qualitative analysis would include: SWOT analysis to identify a company’s strengths, weaknesses, opportunities and threats; identification of a firm’s competitive strategies (e.g., low cost leadership or product differentiation); determination of whether the business has a favorable long-term prospect and if it is sustainable; and management considerations. Performance Ranking: In conducting fundamental analysis, stocks within sectors can be ranked by different criterion. While performance ranking does not identify mispriced stocks, it can provide information about leaders in each sector. For example, managers could filter the growth and value stocks from the pure growth and pure value indices based on the following criteria: Growth Selection Criteria Value Selection Criteria: Sales growth rate Price-to-book ratio EPS growth rate Price-to-sales ratio Sustainable growth rate Dividend yield 14 Multiplier Approach: The multiplier approach involves estimating the stock's price-to-earnings ratio and its expected earning next year to determine its value. A company’s expected earnings per share could be projected by estimating a company’s sales per share (S), operating profit margin (m = EBDIT/S), depreciation per share (D), interest expenses per share (I), and effective tax rate (t): EBDIT = m S EPSi = (EBDIT - D - I)(1 - t) Forecasting a stock’s P/e could be based on comparing its P/e to those of the industry, comparable firms, and the market. A second approach could be to estimate the firm’s P/e by forecasting its retention rate (d/e), required rate (k), and growth rate (g):5 P d/e e k g For example, applying the multiplier analysis to value Coach (one of the stocks in the Consumer Cyclical Growth sector), an expected value of $52.79 was estimated (see Appendix A for details on the data used in estimating the Coach’s value): Estimated Price of Coach Using Multiplier Approach Net Profit Margin Sales Estimate (in mill) Common shares o/s EPS Estimate Est P/E Price Est 2008 Estimate 26% 3147 372 2.20 24.00 52.79 2007 25.50% 2589 375 1.76 Note: Coach’s estimated price was not significant different than the market price of Coach at the time of this analysis. If this were the only consideration, fund managers would then reach a conclusion that the stock is not underpriced and therefore should not be included in the portfolio. k could be estimated using the CAPM: estimating Rf, the market risk premium, and the stock’'s beta. Bloomberg also provides estimates of required returns. The company’s expected growth rate in earnings could be determined by estimating the company’s retention rate and ROE, with the estimated ROE determined by forecasting the company's net profit margin, asset turnover ratio, and liquidity ratio. This information can be access from Bloomberg. 5 15 In trying to determine a stock’s intrinsic value using a multiplier approach, fund managers would have to determine the important factors determining sales, operating profit margins, returns on investments, and market risk. The multiplier approach, in turn, integrates these factors to determine a stock’s value. As such, this approach provides a useful methodology for analyzing companies. It can also be applied to industries and to the overall market. Discounted Cash Flow Model: The multiplier approach is a popular method used by analysts to estimate a stock's value. Recently, more fundamentalists have been using Discounted Cash Flow (DCF) models to identify mispriced stocks. DCF models are more applicable for companies in new industries in which different growth rate are expected. Most of these analysts incorporate one of the several DCF growth models to estimate the value or rate of return on the stock they are evaluating. Qualitative Analysis: Qualitative analysis complements the quantitative assessment of a company. In conducting such analysis, managers would need to conduct the following type of assessment: Qualitative Assessment Compare and contrast companies in an identified subsector. Compare financial ratios and trends within a specified subgroup/subsector Rationalize the numbers from quantitative analysis using the economic, sector and individual company’s qualitative analysis. Determine: o Why did revenues increase? o What is affecting profit margins? o What capital investments will the company have to make to maintain their competitive advantage? Determine if recent successes were an anomaly. Determine if a company can repeat or improve its performance given current sector and economic conditions. Determine if the company’s competitive advantages is still extant. Determine the company’s competitive advantages: o Supply – proprietary technology and privileged access to resources o Demand - high switching costs and customer captivity o Economies of Scale – cost/unit decline as volume increases Develop a SWOT: o Use Annual Reports, financial ratios and other resources for strengths and weaknesses o Use information gained from economic and sector analysis for opportunities and threats 16 Note: Bottom-up and Top-Down A top-down, three-step approach can be viewed as a sequential process: first analyzing the economy, then assessing sectors, and finally analyzing companies. In practice, though, fund managers would be analyzing the economy, sectors, and companies simultaneously. As a result, decisions by the managers could be based in some cases on firm factors, while in other cases the decisions could be made on sector or overall economic considerations. The top-down approach does ensure that in making a stock decision the interdependency between the overall economy, sectors, and companies is considered. 4. PORTFOLIO Initial Portfolio If the above approach were implemented to form an equity fund, fund managers would initially construct a portfolio with the following features: A value/growth fund managed against the S&P 500 index Approximately 40 value and growth stocks The proportions of the fund allocated to value stocks and growth stocks would be determined by market expectations. A neutral position would reflect the proportions of value and growth making up the index. The stocks selected would be based, in part, on sector analysis. Stocks in a sector expected to be strong would have a greater allocation than that sector’s allocation to the index. Stocks selected from sectors would be those that have good fundamentals and are considered to be underpriced. Evaluation of the Portfolio Once the portfolio is constructed, fund managers would be responsible for evaluating the overall portfolio relative to the index. Bloomberg’s portfolio functions (PRTU) do provide analytical and descriptive programs that can be used to evaluate the attributes of the portfolio relative to the index. Managers can also apply various models, such as the Wells Fargo Evaluation System, to assess whether or not the stocks in the portfolio are underpriced or overpriced. Similarly, to evaluate the portfolio’s return sensitivity to various economic variables (e.g., investor’s confidence, interest rate, and business fluctuations) managers can use models such as the Risk Attributes Model (RAM) to assess the portfolio’s sensitivity (see Appendix B). 17 5. SIMULATED PORTFOLIO As a first step in developing the proposed index portfolio, the Equity Fund Task Force constructed a 40-stock portfolio. The stocks in the portfolio came from the stocks comprising the pure value and pure growth style indices and were selected based on a screening and ranking approach. Note: the stocks were not selected based on detailed economic, industry and firm analysis. Portfolio Construction The method used to construct the portfolio consisted of nine steps: 1. Step 1: The Investment Universe: The portfolio was limited to the stocks comprising the S&P 500. 2. Step 2: Investment Styles –Growth and Value: The pure style indices were used to segregate stocks into the growth and value styles. As noted, the S&P U.S. index series measures growth and value in separate dimensions across seven factors at the stock level. These factors are standardized, and then used to calculate growth and value style scores for each constituent. The Pure Style index Series consists of those stocks in the style series that exhibit only strong growth or value characteristics. Using the style indices, the S&P 500 stocks were reduced to 192 stocks consisting of 151 growth stocks and 141 value stocks Characteristic Pure Style Index Series Universal Coverage Only Pure Style Stocks are included Overlapping Stocks in Growth and Value Stocks are identified as either Pure Growth or Pure Value Weight Stocks are weighted by Style Scores Breadth Narrower Coverage Annual Turnover Higher. Comparable to Pure Style Index. Style Index S&P 500/Citigroup Pure Growth Number of Stocks 151 S&P 500/Citigroup Pure Value 141 Total 292 18 3. Step 3:Sectorwise Allocation: The 192 stocks were classified into 10 sectors (based on Bloomberg’s Classification) for each style: 1. Basic Materials 6. Energy 2. Communications 7. Industrial 3. Consumer Cyclical 8. Technology 4. Consumer Non Cyclical 9. Healthcare 5. Financial 10. Utilities 4. Step 4: Industrywise Allocation: Each sector was further classified into industry groups for each style. For example, in the list of pure growth stocks, 28 stocks belong to the sector “Consumer Cyclical”. This sector was further classified into industry groups (e.g., apparel, home furnishings, and Retail). Ticker Name Apparel, Accessories & Luxury RL POLO RALPH LAUREN CORP LIZ LIZ CLAIBORNE INC COH COACH INC Consumer Electronics HAR HARMAN INTERNATIONAL Restaurants DRI DARDEN RESTAURANTS INC SBUX STARBUCKS CORP YUM YUM! BRANDS INC Industry Sector Industry Group Consumer, Cyclical Consumer, Cyclical Consumer, Cyclical Apparel Apparel Apparel Consumer, Cyclical Home Furnishings Consumer, Cyclical Consumer, Cyclical Consumer, Cyclical Retail Retail Retail 5. Step 5: Stocks Ranked in each Industry Group: For each style, the stocks in each industry were ranked: Value/Industry and Growth/Industry. The rankings were based on the following factors for each style: Growth Factors 1. 2. 3. 4. Sales: 5-year average growth EPS: 5-year average growth ROE EPS: 5-year average growth Value Factors 1. 2. 3. 4. 19 Price to Book Price to Sales Price to Cash Flow Price to Earnings 6. Step 6: Filtering the Growth and Value Stocks: In each industry group, stocks were ranked based on the growth or value factors. Based on industry rankings, the 292 stocks were filtered down into 82 stocks: the 151 stocks in the growth group were filtered into 41 stocks and the 141 stocks in value group were filtered down to 41 stocks. This filtering led to the following breakdown (Column 2) for the each of the 10 sectors: Sectors to be reallocated 1 Basic Materials Communications Consumer Cyclical Consumer Non Cyclical Energy Industrial Utilities Healthcare Financial Technology 2 Current Growth Value 1 4 4 4 8 2 6 4 6 3 4 2 0 6 5 1 2 14 5 1 41 41 3 Required Growth Value 1 1 1 1 2 2 2 2 3 2 2 2 0 1 3 1 2 6 5 1 21 19 7. Step 7: Sector Rankings: Given the value and growth stocks making up each of the 10 sectors, the stocks in each sector were then ranked (irrespective of their style) based on operating profit margin, return on capital (compared to WACC), YOY sales, P/E and EPS growth. The stock rankings by sectors were used to reduce the size of the portfolio from 82 to 40. This actual stocks selected were determined once each sector’s allocation was determined. 8. Step 8: Neutralize Portfolio: Given the 82 stocks and their break down by sector, style, and sector ranking, the portfolio was then broken-down into a 40 stock portfolio, with the sector allocations determined for a neutral value/growth position. To achieve this, the proportions allocated to each sector were based on the sector’s allocation in the S&P 500. For example, based on the filtering, the Consumer Cyclical Sector consisted of 10 stocks: 8 growth stocks and 2 value stocks. This sector, in turn, represents approximately 10% of the S&P 500. To ensure this proportion of a 40-stock portfolio, four stocks were selected from this sector based on the stock’s sector ranking; in this case it was 2 value stocks and 2 growth stocks. 9. Stock Allocations: The Equity-Fund Team assumed a total fund value of $1,000,000. Given this, the dollar investment in each sector’s was determined by the sector’s allocation to the S&P 500. For example, given the consumer cyclical sector represents approximately 10% of the S&P 500, approximately $100,000 was assumed to be invested in that sector. With that sector filtered down to four stocks, approximately $25,000 was invested in each of the stocks in that sector. For example, Coach was one of the four stocks included in that sector because 20 of it relatively high ranking. Given it stock price of $35.79 at the time of the simulation and an actual allocation of $24,051, 672 shares of Coach were assumed to be purchased. Exhibit 4 lists the 41 stock making up the portfolio Relative Performance of the Simulated Portfolio After constructing the portfolio, the portfolio’s total returns were compared to the S&P 500’s returns from November 2002 to November 2007 using Bloomberg’s back-testing program. The comparative returns are shown in Figure 1. As shown, the simulated portfolio outperformed the index over the 5-year period. Figure 1: Historical Performance of Simulated Portfolio Relative to the Index 21 Exhibit 4: Stocks Comprising the Simulated Portfolio Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 Stock ABC US ADSK US ALL US AXP US CHK US CNP US COF US COH US COL US COP US CSCO US CTSH US EDS US FCX US GOOG US IBM US JPM US MCK US MDT US MRO US NE US NUE US NVDA US ORCL US PCAR US PEP US PG US PNC US PTV US SBUX US SRE US SVU US SWK US SYK US TRV US UNH US WB US WFC US WHR US WMI US XOM US Number of Shares 647 581 471 422 612 974 467 672 390 296 626 859 1365 161 30 257 575 356 636 406 458 308 831 1296 490 321 325 356 1157 996 286 595 559 416 470 545 633 796 303 852 275 22 Market Price 44.56 47.46 51.27 56.89 37.99 17.6 51.92 35.79 73.68 78.82 28.15 31.57 20.36 96.65 697 107.5 43.65 66.52 50.29 55.31 52.37 57.41 33.12 20.48 50.43 76.54 74.15 72.34 24.86 23.04 62.26 42.26 51.42 72.23 52.29 54.76 41.25 30.54 79.35 33.76 88.59 Market Value 28.830M 27.574M 24.148M 24.008M 23.250M 17.142M 24.247M 24.051M 28.735M 23.331M 17.622M 27.119M 27.791M 15.561M 20.910M 27.628M 25.099M 23.681M 31.984M 22.456M 23.985M 17.682M 27.523M 26.542M 24.711M 24.569M 24.099M 25.753M 28.763M 22.948M 17.806M 25.145M 28.744M 30.048M 24.576M 29.844M 26.111M 24.310M 24.043M 28.764M 24.362M 6. MANAGING THE EQUITY FUND WITH THE FIXED-INCOME FUND Student Investment Fund Center There may be certain benefits from combining some of the operations of an equity fund with the current fixed-income fund. To achieve this, the Equity-Fund Task Force recommends that if an equity fund is created that consideration be given to the creation of a Student Investment Fund Center. The Center would initially consist of the XSIF Fixed-Income Fund, the proposed Equity Fund, a Research Center, and a Public Relations Center. The Research Center would conduct macro and industry analysis as requested by the equity and fixed-income fund managers and examine new investment strategies. Organizationally, the Student Investment Fund Center could be managed either by a Fund Professor/Director assisted by a Center Director or by a Center Director with a Fund Professor/ Director for each fund. Similarly, a Board of Directors could be set up for the Center that would be responsible for both funds or alternatively separate boards could be set up to oversea each fund. Student Investment Fund Center Center Professor Center Director Research Center Fixed-Income Fund Proposed Funds Equity Fund Public Relations Industry, country, and economic, Analysis Website Management New Portfolio Construction Newsletter Investment Strategies Bond Summit 23 Balanced Fund There may also be certain synergies from combining an equity fund with the current fixedincome fund. As an investment management strategy, the two funds could be combined to form a balanced equity, bond, and money market fund. This would require that the fund managers develop an expertise in equity/bond asset-allocation decisions and in equity/bond tactical asset allocation strategies. If the funds were combined, the managers for the equity portion of the fund would be able to make better timing decisions on their investments. In turn, the managers of the fixed-income portion could better justify the current fixed income fund’s enhance index management strategy given that there would be possible asset re-allocation decisions. Finally, both the equity and bond fund managers would be able to make return-risk preference decisions based on the different return-risk opportunities obtained from different equity-bond allocations. If the funds were combined, limits would need to be determined on the allocations to equity and bonds. As a practical matter, consideration of a combined fund could only be made once an equity fund is set up and the operational structure for managing both funds has been put in place. Resources The management of an equity fund would require at least eight students. If the current MBA/undergraduate arrangement for the fixed-income fund were used, then there would be eight undergraduates managing the fund from October to May and eight MBAs managing it from May to October. For the bond and equity funds to operate, more resources would be needed. These would include: Physical Space Computers. Bloomberg Terminals (1 or 2 additional terminals) Additional Finance Technologies: o FactSet o Morningstar o Thomson o MultexNet/Reuters Travel Funds Annual Meeting Funds 24 7. FORMATION OF THE FUND To set up the equity fund, the XSIF Equity Fund Task Force proposes that a Student Equity Fund Team and a Student Equity Fund Task Force be formed. Student Equity Fund Team The Student Equity Fund Team would be responsible for setting up the initial fund. They would also be responsible for developing the operational structure needed to manage the fund. The team would consist of: 4 to 5 current XSIF fund managers 2 to 3 MBA fund managers 3 to 4 finance majors (preferably juniors) nominated by the Department of Finance 3 to 4 MBA students concentrating in Finance nominated by the Department of finance XSIF Fund Professor The Student Equity Fund Team would be responsible for setting up an initial fund based on the index fund described in this report. Team Format The students would be divided into five subgroups. Each group would be responsible for analyzing two sectors from the 10 sectors: Consumer Discretionary, Telecommunications, Healthcare, Energy, Financial, Utilities, Consumer Staples, Industrials, Information Technology and Basic Materials. Top-Down Approach The Economy: Each group would be responsible for one or two economic indicators (e.g., GDP, consumer confidence, consumer sentiment, and the like). Sectors: After an analysis of the broader economy, each group would evaluate their individual sectors. Each group would determine an “underweight” or “overweight” rating for their sector relative to that sector’s allocation in the S&P 500. The equity fund team would then vote on the offerings. Securities: After setting the weights for each industry, members of each team would be assigned stocks in their sectors. Every member would be responsible for ranking the stocks in the sector and conducting quantitative and qualitative analysis of their stocks. Each member would present their respective securities and offer a buy, possible buy, or no buy recommendation. 25 Portfolio Constructed Once the stocks representing the index are selected, the equity-fund team would determine the final allocations of each stock. The team would then evaluate the portfolio in terms of its attributes, historical performance, and sensitivity to different factors. Equity Fund Task Force The Equity Fund Task Force would be responsible for providing advice to the Student Equity Fund Team and making recommendations on the fund’s overall structure, by-laws, and management. This would include recommendations on: Whether the fund should be part or separate from the fixed-income fund The structure of the Board of Directors The MBA and undergraduate arrangement for the management of the fund Trading and custodial arrangements Academic credits The task force would consist of: 2 to 3 members of the Finance Department 3 to 4 members of the XSIF Board Persons nominated by the XSIF Board A member of the Board of Trustees or a person or persons nominated by the Board XSIF Fund Professor Time Table and Tasks The XSIF Fund Task Force recommends the following time table and tasks: March 1, 2008: The Equity Fund Team would be expected to complete its portfolio construction. It would present a report to the Equity-Fund Task Force and the Department of Finance. March 10, 2008: Equity-Fund Task Force would evaluate the portfolio and make its recommendations. It would then submit a report to the XSIF Board. March 15, 2008: Special meeting of the XSIF Board to evaluate the recommendations of the Equity Fund Task Force and Equity Fund Team. The XSIF Board would then make a recommendation to the Department of Finance on the proposed equity fund. April 1, 2008: The Department of Finance would submit its recommendation to the Finance Subcommittee of the Board of Trustees. 26 April 15, 2008: If approved, the Department of Finance would begin selecting students to manage the fund. June 15, 2008 or September 1 2008: XSIF Fund Managers would begin managing the fund. The actual date would depend on the decision made on the type of MBA and undergraduate management structure recommended for the fund. 27 APPENDIX A FUNDAMENTAL ANALYSIS OF COACH USING MULTIPLIER APPROACH COACH Price Estimate Net Profit Margin Sales Estimate (in mill) Common shares o/s EPS Estimate Est P/E Price Est 2008 Estimate 26% 3147 372 2.20 24.00 52.79 2007 25.50% 2589 375 1.76 Data used for Analysis Sales Cost of Sales Gross Profit SG&A Operating Profit Operating Profit Margin 2007 2612000000 589000000 2023000000 1030000000 993000000 38.02% 2006 2005 2004 2003 2002 2035000000 1652000000 1321000000 952000000 719000000 454000000 384000000 331000000 276000000 236000000 1581000000 1268000000 990000000 676000000 483000000 867000000 732000000 585000000 434000000 362000000 714000000 536000000 405000000 242000000 121000000 35.09% 32.45% 30.66% 25.42% 16.83% 28 Retail Stores (NA) % increase YOY Retail square footage % increase YOY Factory stores % increase YOY Japan Locations % increase YOY Retail Locations (Japan and NA) 2007 259 18.81% 672737 19.59% 93 8.14% 137 16.10% 396 2006 218 12.95% 562553 14.59% 86 4.88% 118 14.56% 336 2005 193 10.92% 490925 13.74% 82 7.89% 103 3.00% 296 2004 174 11.54% 431617 18.80% 76 0.00% 100 7.53% 274 2003 156 13.04% 363310 20.50% 76 2.70% 93 9.41% 249 %change %change Sales-Retailstores 45.00% 40.00% 35.00% 30.00% % change is sales 25.00% 20.00% % change in retail stores 15.00% 10.00% 5.00% 0.00% 2001 2002 2003 2004 2005 Year 29 2006 2007 2002 138 14.05% 301501 74 85 223 Date: Change Period To Date Percent Sales/Revenue/Turnover Cost of Goods Sold/F.E.& P.P.&G. SG&A / Oth Op / Dep Op & Maint Operating Income (Losses) Interest Expense Net Income/Net Profit (Losses) Earnings Per Share Depreciation Expenses EBIT(Earn Bef Int & Tax) EBITDA(Earn Bef Int Dep & Amo) Changes in Working Capital Book Value per Share Capital Expenditures Retail - Num of Locations (End) Operating Margin Profit Margin EBIT Margin Dividend Payout Ratio Asset Turnover Inventory Turnover 5 Year Average Return On Equity Return On Capital Employed Return on Assets Return on Common Equity Financial Leverage Interest Expense Coverage Retention Ratio Sustainable Growth Rate #N/A Flds 58.495 2612.456 589.47 1029.589 993.397 #N/A N.A. 663.665 1.8 #N/A N.A. 993.397 1074.284 699.542 5.1282 -140.872 489 38.0254 25.4039 38.0254 0 1.2819 2.2469 42.3697 50.4333 32.5643 42.8297 1.3152 #N/A N.A. 100 42.8297 FY1 2006 -10.8793 2035.085 453.518 866.86 714.707 #N/A N.A. 494.277 1.3 #N/A N.A. 714.707 779.822 188.959 3.2143 -133.876 422 35.1193 24.2878 35.1193 0 1.3582 2.1704 42.2044 62.6163 32.9883 44.0404 1.335 #N/A N.A. 100 44.0404 FY1 2005 45.5847 1710.423 399.652 738.208 572.563 #N/A N.A. 358.612 0.95 #N/A N.A. 572.563 622.963 -91.685 2.7903 -94.592 378 33.4749 20.9663 33.4749 0 1.4167 2.3079 40.4887 55.2617 29.7039 39.0176 1.3136 #N/A N.A. 100 39.0176 FY1 2004 84.5815 1321.106 331.024 545.617 444.465 0.808 261.748 0.7 #N/A N.A. 444.465 488.975 248.307 2.0628 -73.659 #N/A N.A. 33.6434 19.8128 33.6434 0 1.5897 2.1655 36.3973 50.7186 31.4965 43.2922 1.3745 519.3029 100 43.2922 FY1 2003 81.9308 953.226 275.797 433.667 243.762 0.695 146.628 0.41 #N/A N.A. 243.762 275.112 158.917 1.1664 -61.857 #N/A N.A. 25.5723 15.3823 25.5723 0 1.8016 1.9685 29.4531 49.5453 27.7121 42.6688 1.5397 335.8845 100 42.6688 FY1 2002 44.2838 719.403 236.041 346.354 137.008 1.124 85.827 0.2425 #N/A N.A. 137.008 162.502 81.041 0.7276 -42.764 #N/A N.A. 19.0447 11.9303 19.0447 0 2.0575 1.9543 #N/A N.A. 51.2843 24.5472 42.0031 1.7111 119.3726 100 42.0031 FY1 2001 #N/A N.A. 600.491 218.507 275.727 106.257 2.563 64.03 0.195 #N/A N.A. 106.257 130.388 -6.97 0.4244 -31.868 #N/A N.A. 17.695 10.6629 17.695 0 2.1625 2.1085 #N/A N.A. 55.0134 23.0588 35.4617 1.5379 39.7944 100 35.4617 Profitability Ratios Company Industry Sector S&P 500 Gross Margin (TTM) 77.44 53.98 33.33 44.29 Gross Margin - 5 Yr. Avg. 76.28 51.96 33.04 44.05 EBITD Margin (TTM) 41.12 21.89 12.86 22.96 EBITD - 5 Yr. Avg. 36.85 19.95 12.52 21.35 Operating Margin (TTM) 38.03 19.34 10.2 19.68 Operating Margin 5 Yr. Avg. 33.74 18.09 9.35 19.21 Net Profit Margin (TTM) 24.37 11.77 6.52 13.64 Net Profit Margin 5 Yr. Avg. 21.71 11.69 5.82 12.45 Effective Tax Rate (TTM) 38.48 35.77 31.84 29.97 30 FY1 2000 #N/A N.A. 548.918 220.085 272.816 56.017 0.42 38.603 0.1375 #N/A N.A. 56.017 78.645 2.404 0.7595 -26.06 #N/A N.A. 10.205 7.0326 10.205 0 1.8969 2.1631 #N/A N.A. 33.514 13.3403 18.5605 1.3913 133.4524 100 18.5605 FY1 1999 #N/A N.A. 507.781 226.19 255.008 26.583 0.441 16.715 0.06 21.339 26.583 48.839 -43.869 #N/A N.A. -13.519 #N/A N.A. 5.2351 3.2918 5.2351 0 1.8814 1.9349 #N/A N.A. 12.0954 6.1931 8.5713 1.384 44.2222 100 8.5713 FY1 1998 #N/A N.A. 522.22 235.512 261.695 25.013 0.508 20.663 #N/A N.A. 21.571 25.013 47.797 #N/A N.A. #N/A N.A. -15.178 #N/A N.A. 4.7897 3.9568 4.7897 0 #N/A N.A. #N/A N.A. #N/A N.A. #N/A N.A. #N/A N.A. #N/A N.A. #N/A N.A. 49.9299 100 #N/A N.A. Risk-Free Rate Beta (Bloomberg) Equity risk premium k g 31 4.41% 1.31 0.0711 13.72% 42.83% APPENDIX B RISK-ATTRIBUTES MODEL – RAM RAM Model Step 1: Stock returns are explained by a set of macroeconomc variables. Variable 1. Investors’ Confidence RAM 1. RCorp – Rgovt 2. Interest Rates 2. (LT Rate – ST Rate) 3. Inflation Shock 3. Actual minus expected inflation rate 4. Aggregate Business Fluctuations 4. (Industrial Production) 5. Foreign Variables 5. (Exchange Rate) 6. Market Factors 6. Residual Market Beta Step 2: Run a time-series regression of the stock returns against the six macroeconomic variables. For example, do a regression of the returns of the stocks making up the index against the above macroeconomic factors. ri a i bi1F1 bi 2 F2 bi 6 F6 i Step 3: Standardize the coefficients. For each coefficient, calculate the average coefficient and average standard deviation. 3500 b1 b i 1 i1 3500 and b1 3500 2 (b i1 b1 ) i 1 3500 1/ 2 Next, for stock i measure the adjusted standardized coefficient as: b̂i1 bi1 bi b1 32 Interpretation: • If adjusted b = 0 Stock’s sensitivity to factor 1 is no different than the average. • If adjusted b > 0 Above average responsiveness to factor 1. • If adjusted b < 0 Below average responsiveness to factor 1. Step 4: For each stock determine its score, Si. The score is obtained by multiplying the stock’s adjusted coefficients by an estimate of the macroeconomic factors, then summing the products. Si a i b̂i1 (E(F1 )) b̂i 2 (E(F2 )) b̂i 6 (E(F6 )) Step 5: Construct a portfolio with the highest score. Alternative: Construct different portfolios based on the portfolio’s sensitivity to different economic scenarios, then select the best. 33