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Chapter 4 Security Market Indicator Series. Uses 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
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Chapter 4 Security Market Indicator Series
Uses 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 substitute for the market portfolio of risky assets when calculating the systematic risk of an asset
Differentiating Factors in Constructing Market Indexes The sample • size • breadth (be representative) • source
Differentiating Factors in Constructing Market Indexes Weighting of sample members • price-weighted series • market value-weighted series • unweighted (equally weighted) series
Differentiating Factors in Constructing Market Indexes Computational procedure • arithmetic average • compute an index and have all changes reported in terms of the basic index. • geometric average
Stock-Market Indicator Series Price Weighted Series • Dow Jones Industrial Average (DJIA) • Nikkei-Dow Jones Average (225 stocks on the First Section of Tokyo Stock Exchange) Market-Value-Weighted Series • NYSE Composite • S&P 500 Index and more… Unweighted Price Indicator Series • Value Line Averages • Financial Times Ordinary Share Index See Exhibit 4.5 Summary of Stock Market Indexes
Dow Jones Industrial Average (DJIA) • Price-weighted average of thirty large well-known industrial stocks, leaders in their industry, and listed on NYSE • Total the current price of the 30 stocks and divide by a divisor (adjusted for stock splits)
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) Exhibit 4.1
The Impact of Differently Priced Shares on a Price-Weighted Indicator Series Period T+ 1 . Period T Case A Case B A 100 110(+10%) 100 B 50 50 50 C 30 3033(+10%) Sum 180 190 183 Divisor 3 3 3 Average 60 63.3 61 Percentage Change 5.5% 1.7% Exhibit 4.2
Criticism of the DJIA • Limited to 30 non-randomly selected blue-chip stocks (see http://www.dowjones.com/ for component stocks) • Does not represent a vast majority of stocks • The divisor needs to be adjusted every time one of the companies in the index has a stock split • Introduces a downward bias by reducing weighting of fastest growing companies whose stock splits
Value-Weighted Series • Market Value = Number of Shares Outstanding X Current Market Price • Assign an beginning index value (e.g. 100) and new market values are compared to the base index • Automatic adjustment for splits
Value-Weighted Series where: Indext = index value on day t Pt = ending prices for stocks on day t Qt = number of outstanding shares on day t Pb = ending price for stocks on base day Qb = number of outstanding shares on base day
Example of a Computation of a Market-Value-Weighted Index Exhibit 4.3
The Impact of Different Values on a Market-Value-Weighted Stock Index Exhibit 4.4 20% increase in Stock A and C
Unweighted Price Indicator Series • All stocks carry equal weight regardless of price or market value • May be used by individuals who randomly select stocks and invest the same dollar amount in each stock • Some use arithmetic average of the percent price changes for the stocks in the index
Example of an Arithmetic and Geometric Mean of Percentage Changes Exhibit 4.8
Style Indexes • Styles (size and type) • Small-cap growth • Mid-cap growth • Large-cap growth • Small-cap value • Mid-cap value • Large-cap value
Difficulties in Creating and Computing Bond-Market Indicator Series • Universe of bonds is much broader than that of stocks. • Range of bond quality varies from U.S. Treasury securities to bonds in default. • Bond market changes constantly with new issues, maturities, calls, and sinking funds
Difficulties in Creating and Computing Bond-Market Indicator Series • Bond prices are affected by duration, which is dependent on maturity, coupon, and market yield. • Correctly pricing individual bond issues without current and continuous transaction prices available poses significant problems.
Investment-Grade Bond Indexes • rated BBB or higher • Relationship among these bonds is strong (correlations average 0.95) • Returns for all these bonds are driven by aggregate interest rates - shifts in the government yield curve
High-Yield Bond Indexes • Non investment-grade bonds • rated BB, B, CCC, CC, C • Relationship among high-yield bond indexes is weaker than among investment grade indexes
Exercises • Do Problem 1, 2, 6. • Good reference: Appendix-Foreign Stock Market Indexes