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Security Market Indicator Series

2. . . Stock Markets. Most everyone

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Security Market Indicator Series

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    1. Security Market Indicator Series (Stock market indexes, their construction and use)

    2. Stock Markets Most everyone follows the stock markets Daily news media commonly report the daily value and the change in U.S. market indicator series such as the Dow Jones Industrial Average and the Down Jones Transportation Average and the NASDAQ Composite. In Canada we commonly hear about the TSE (Toronto Stock Exchange) 300 Composite Index and the CDNX (Canadian Venture Exchange) But what are these measures? How are they conceived? What do they measure? How can we use them?

    3. Security-market Indicator Series The term security-market indicator series is a more correct term to use when describing the whole range of stock market indices and averages this is because not all indicator series is constructed as an index For example the DJIA (Dow Jones Industrial Average) is an average of 30 large blue-chip stocks traded on the NYSE (New York Stock Exchange) The TSE (Toronto Stock Exchange) 300 is a composite index made of the the 300 largest value-weighted stocks publicly traded on the Toronto Stock Exchange

    4. What is a Blue Chip Stock? Blue chip stocks is a general term that is loosely applied to companies that are generally considered to be leaders in their industry, are typically very large in terms of market capitalization (the number of shares outstanding multiplied by their current market price), are considered to be mature (ie. they are not necessarily rapidly growing in terms of sales or stock price) and often pay a substantial and consistent cash dividend. Examples include IBM, American Express, etc. Why not do an internet search and find out what 30 stocks are included in the DJIA?

    5. DJIA Companies included in the average are those selected by Dow Jones & Company, publisher of the Wall Street Journal The composition of the average changes over time as companies are dropped because of a merger or bankruptcy has occurred, because a companys trading activity is low, or because a company not in the average becomes very prominent. When a company is replaced by another company, the average is readjusted in such a way as to provide comparability with earlier values.

    6. Use of Security Market Indexes As benchmarks to evaluate the performance of professional money managers to create and monitor an index fund to measure market rates of return in economic studies for predicting future market movements by technicians as a proxy for the market portfolio of risky assets when calculating the systematic risk of an asset

    7. Differentiating Factors in the Construction of Market Indexes Because the indicator series are intended to reflect overall market price changes of a group of securities, it is necessary to consider which factors are important in computing an index that is intended to represent a total population. Each indicator series will be built upon conscious choices on the following issues: SAMPLE WEIGHTING SAMPLE MEMBERS COMPUTATIONAL PROCEDURE

    8. Differentiating Factors in the Construction of Market Indexes SAMPLE - the size of the sample, the breadth of the sample, and the source of the sample used to construct a series are all important WEIGHTING SAMPLE MEMBERS - three principal weighting systems are (1) price-weighted (2) value-weighted (3) unweighted (equally weighted) COMPUTATIONAL PROCEDURE - one alternative is to take a simple arithmetic average of the various member in the series. Another is to compute an index and have all changes, whether in price or value, reported in terms of the basic index. Finally, some prefer a geometric average of the components rather than an arithmetic average.

    9. Price-Weighted Series A price-weighted series is an arithmetic average of current prices, which means that index movements are influenced by the differential prices of the components. DJIA the Dow Jones Industrial Average is the best-known price-weighted series and is also the oldest and most popular stock-market indicator series. It is computed by totaling the current prices of the 30 stocks and dividing the sum by a divisor that has been adjusted to take account of stock splits and changes in the sample over time.

    10. Example of Change in DJIA Divisor when a sample stock splits After Three-for-One Before Split Split by Stock A Prices Prices A $30 $10 B 20 20 C 10 10 60 3 = 20 40 X = 20 X = 2 = New Divisor when a stock splits, the divisor becomes smaller as shown. The cumulative effect of splits can be derived from the DJIAit was originally 30but as of July 1999 it was 0.197405

    11. Example of the Impact of Differently Priced Shares on a Price-Weighted Series Period T + 1 Period T Case A Case B A 100 110 100.7 B 50 50 50 C 30 30 33 Sum 180 190 183 Divisor 3 3 3 Average 60 63.3 61 Percent Change 5.5 1.7 because the series is price-weighted, a high-priced stock carries more weight than a low-priced stock.

    12. Citicisms of the DJIA Limited sample size 30 nonrandomly selected blue-chip stocks make up the average the stocks selected are the largest and most pretigious companies in various industries. The DJIA, therefore, probably reflects price movements for large, mature, blue-chip firms rather than the typical company listed on the NYSE Several studies have pointed out that the DJIA has not been a volatile as other market indexes and that the long-run returns on the DJIA are not comparable to other NYSE stock indexes.

    13. Citicisms of the DJIA ... Weighting Scheme because the DJIA is price weighted, when companies split their stock, their prices decline, and therefore their weight in the DJIA is reduced - even though they may be large and important. Therefore, the weight scheme casues a downward bias in the DJIA, because the stocks that have higher growth rates will have higher prices, and because such stocks tend to split, they will consistently lose weight within the index.

    14. Value-Weighted Series A value-weighted series is generated by deriving the initial total market value of all stocks used in the series: Market Value = Number of Shares Outstanding Current Market Price This initial figure is typically established as the base and assigned an index value (the most popular beginning index value is 100, but it can vary - say, 10, 50). Subsequently, a new market value is computed for all securities in the index, and the current market value is compared to the initial base value to determine the percentage change, which in turn is applied to the beginning index value:

    15. Value-Weighted Series In a value-weighted series, there is an automatic adjustment for stock splits and other capital changes (since the decreased price of the share is offset by an equal and opposite effect of an increase in the number of shares outstanding). In a value-weighted index, the importance of individual stocks in the sample depends on the market value of the stocks. Therefore, a specified percentage change in the value of a large company has a greater impact than a comparable percentage change in a small company.

    16. Example of a Computation of a Value-weighted index Stock Share Price Number of Shares Market Value December 31, 1999 A $10.00 1,000,000 $10,000,000 B 15.00 6,000,000 90,000,000 C 20.00 5,000,000 100,000,000 Total $200,000,000 Base Value Equal to an Index of 100 December 31, 2000 A $12.00 1,000,000 $12,000,000 B (2 for 1 split) 10.00 12,000,000 120,000,000 C (10% stock dividend) 20.00 5,500,000 110,000,000 Total $242,000,000 New Index Value = [Current MV] / [Base Value] Beginning Index Value = [$242 M / $200 M] 100 = 1.21

    17. Value-weight Indexes Price changes for the large market value stocks in a value-weighted index will dominate changes in the index over time. This value-weighted effect was prevalent on U.S. stock markets (NYSE, OTC) in 1998 when the market was being driven by large growth stocks - that is, almost all of the gain for the year was attributable to the largest 50 of the S&P 500 Index.

    18. Value-Weighted Series The TSE 300 Composite TSE 300 Composite Index is a value-weighted series: 300 stocks (comprised of 14 subindexes) weights of the stocks is based on market capitalization adjusted for major shareholders Base year = 1975 Base value of the index = 1000

    19. TSE 300 Composite Index Recent History

    20. TSE 300 Composite Index The 14 sub-indexes - 04/06/01 1. Metals and Minerals: 2. Gold & Precious Metals 3. Oil & Gas 4. Paper & Forest Products 5. Consumer Products 6. Industrial Products 7. Real Estate 8. Transportation & Environmental Services 9. Pipelines 10. Utilities 11. Communications & Media 12. Merchandising 13.Financial Services 14. Conglomerates

    21. TSE 300 Composite Index Sub-indexes and components - 04/06/01 1. Metals and Minerals: integrated mines mining 2. Gold & Precious Metals 3. Oil & Gas integrated oils oil & gas producers oil & gas services 4. Paper & Forest Products 5. Consumer Products food processing tobacco Distilleries breweries & Beverages Household Goods Biotechnology/Pharmaceuticals 6. Industrial Products steel fabricating & engineering transportation equipment technology-hardware building materials chemicals & fertilizers technology -software autos & parts

    22. TSE 300 Composite Index Sub-indexes - 04/06/01 ... 7. Real Estate 8. Transportation & Environmental Services 9. Pipelines 10. Utilities telephone utilities gas/electrical utilities 11. Communications & Media broadcasting cable & entertainment publishing & printing 12. Merchandising wholesale distributors food stores department stores specialty stores hospitality 13. Financial Services banks & trusts investment companies & funds insurance financial management companies 14. Conglomerates

    23. TSE 300 Composite Index Sub-indexes - 04/06/01 examples 7. Real Estate ACK - Acktion Corp BEI - Boardwalk Equities TZH - Trizec Hahn Corp 12. Merchandising wholesale distributors FTT - Finning International Inc. RCH - Richelieu Hardware Ltd. UNS - Uni-select Inc. 14. Conglomerates BNN.A - Brascan Corp CP - Canadian Pacific Ltd OCX - Onex Corporation SV POW - Power Corporation of Canada SV

    24. TSE For further information on the Toronto Stock Exchange go to: http://www.tse.com go to the periodicals in the Chancellor Patterson Library and go to Toronto Stock Exchange Review

    25. Value-Weighted Series A TSE Problem - when a companys market capitalization gets too great This became a serious problem for the TSE 300 Composite in 2000 since BCE (Bell Canada Enterprises) has a large number of shares outstanding and their the individual share price rose to a point where the firm and its subsidiaries represented more than 20% of the TSE 300 The reason this is a problem is that professionally-managed portfolios are not allowed to invest more than 10% of their value in any one stock (for proper diversification of riskand the need as a professional fiduciary to ensure proper diversification)hence, the usefulness of the TSE 300 as a benchmark of comparison has diminished considerably.

    26. Unweighted Price Indicator Series In an unweighted index, all stocks carry equal weight regardless of their price or market value. A $20 stock is as important as a $40 stock, and the total market value of the company is unimportant. USE: such an index can be used by individuals who randomly select stock for their portfolio and invest the same dollar amount in each stock.

    27. Unweighted Price Indicator Series ... The actual movements in the index are typically based on the arithmetic average of the percent changes in price or value for the stocks in the index. The use of the percent price changes means that the price level or the market value of the stock does not make a difference - each percentage change has equal weight. The arithmetic average of percent changes procedure is used in academic studies when the authors specify equal weighting.

    28. Example of an Arithmetic and Geometric Mean of Percentage Changes Share Price Stock T T + 1 HPR HPY X 10 12 1.20 0.20 Y 22 20 0.91 -0.09 Z 44 47 1.07 0.07 II = 1.20 0.91 1.07 sum = 0.18 = 1.168 0.18/3 = 0.06 1.1681/3 = 1.0531 = 6% Index Value (T) 1.0531 = Index Value (T + 1) Index Value (T) 1.06 = Index Value (T + 1)

    29. Unweighted Series ... Both Value Line and the Financial Times Ordinary Share Index compute a geometric mean of the holding period returns and derive the holding period yield from this calculation.

    30. Summary of Stock Market Indexes Number of Name of Index Weighting Stocks Source Dow Jones Industrial Average Price 30 NYSE Nikkei-Dow Jones Average Price 225 Tokyo S&P 400 Industrial Market Value 400 NYSE, OTC S&P Composite Market Value 500 NYSE, OTC NASDAQ Composite Market Value 4,879 OTC Wilshire 5000 Equity Value Market Value 5,000 NYSE, AMEX, OTC Russell 3,000 Market Value 3,000 NYSE, AMEX, OTC Value Line Industrial Average Equal (geo) 1,499 NYSE, AMEX, OTC TSE 300 Composite Market Value 300 TSE

    31. Bond-Market Indicator Series Investors know little about the several bond-market series because these bond series are relatively new and not widely published. Knowledge regarding these bond series is becoming more important because of the growth of fixed-income mutual funds and the consequent need to have a reliable set of benchmarks to use in evaluating performance.

    32. Bond-Market Indicator Series Challenges The creation and computation of bond-market indexes is more difficult than stock-market series for several reasons: the universe of bonds is much broader than that of stocks, ranging from Federal Government bonds to bonds in default. The universe of bonds is constantly changing because numerous new issues, bonds maturing, calling of outstanding bonds, and bond sinking funds. The volatility of prices for individual bonds and bond portfolios change because bond price volatility is affected by duration, which is likewise constantly changing because of changes in maturity, coupon, and market yield. Pricing of bonds correctly especially in the case of corporates.

    33. Composite Stock-Bond Indexes A composite series is intended to measure the performance of all securities in a given country. Use of a composite series of stocks and bonds makes it possible to examine the benefits of diversifying with a combination of asset classes such as stocks and bonds in addition to diversifying within the asset classes of bonds or stocks. Examples: Merrill Lynch - Wilshire U.S. Capital Markets Index Brinson Partners Global Security Market Index (GSMI) - this index contains both U.S. stocks and bonds, but also includes non-U.S. equities and nondollar bonds as well as an allocation to cash.

    34. Mean and Standard Deviation of Annual Percentage Price Change for Stock Price Series 1972 - 1997 Geometric Arithmetic Standard Coefficient Mean Mean Deviation of Variation DJIA 8.79 10.09 16.70 1.66 S&P 500 9.06 10.35 16.49 1.59 NASDAQ 11.89 13.94 20.81 1.49 Wilshire 5000 9.29 10.69 17.07 1.60 TSE 300 11.32 12.54 16.52 1.32 FT All-share 10.37 14.36 31.94 2.22 Nikkei 6.97 9.74 25.77 2.65

    35. Mean and Standard Deviation of Annual Rates of Return for Lehman Brothers Bond Indexes 1972 - 1997 Geometric Arithmetic Standard Coefficient Mean Mean Deviation of Variation Government/Corporate 9.68 9.95 8.04 0.81 Government 9.65 9.77 7.15 0.73 Corporate 10.17 10.60 10.25 0.97 Mortgage-Backed 9.94 10.35 10.07 0.97

    36. Correlation Coefficients Among Monthly Percentage Price Changes In Alternative Equity Indices 1972 - 1997 S&P NASDAQ Wilshire TSE 500 NYSE Composite 5000 300 S&P 500 - NYSE 0.919 - NASDAQ 0.783 0.881 - Wilshire 5000 0.906 0.987 0.906 - TSE 300 0.687 0.761 0.740 0.870 - Nikkei 0.358 0.350 0.308 0.335 0.293 FT All-Share 0.615 0.712 0.620 0.693 0.627

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