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Today: We’ll finish up some things from week #1.

Do a quick review of indices (aka indexes) and who uses them (besides us).

Build a spreadsheet of the benchmark S&P 500 constituents and weights.

We’ll look at what’s in and not in the S&P 500 index?

We’ll see how important “weights” are in portfolios versus the benchmark. (An example of how many equity portfolio managers lost money by underweighting, then overweighting Apple.)

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‘...everybody talks about them, but few people understand them…’

They are used:1. To summarize market activity 2. To benchmark performance 3. To create index portfolios, ETFs and mutual funds4. As explanatory factors in risk measurement models

and other empirical studies

S&P 500 INDEX

DOW JONES INDUSTRIAL AVERAGE

Indices

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Indices: Three Weighting Methods

• A price weighted index is proportional to the sum of the constituent prices (e.g. DJIA)

• (S Price per share)/Divisor• Biased towards high price stocks

• A value weighted index is proportional to the sum of total capitalizations (e.g., S&P500)

• S (Price per share × Number of shares)• Biased toward large market value companies

• An equal weighted (aka unweighted) index cumulates equal weighted average returns:

• S (% change in Price) / Number of companies• More numerous smaller companies are more important in this

type of index than with the other 2 types

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Price Weighted (Example)

• Dow Jones Industrial Average (DJIA):• Thirty large cap stocks:• High price stocks carry more weight

than low price stocks.• High growth companies with stock

splits lose relative importance, thus downward bias.

• For stock splits, they adjust divisor downwards to compensate. (instead of 30, divisor is much less now to adjust for past stock splits and composition changes.)

Symbol NameAA ALCOA INC

AXP AMER EXPRESS INCBA BOEING CO

BAC BANK OF AMERICACAT CATERPILLAR INC

CSCO CISCO SYSTEMSCVX CHEVRONDD DU PONT E I DE NEMDIS WALT DISNEY-DISNEY CGE GEN ELECTRIC COHD HOME DEPOT INC

HPQ HEWLETT PACKARD COIBM INTL BUSINESS MACHINTC INTEL CPJNJ JOHNSON AND JOHNS DCJPM JP MORGAN CHASE COKFT KRAFTKO COCA COLA CO THE

MCD MCDONALDS CPMMM 3M COMPANYMRK MERCK CO INCMSFT MICROSOFT CPPFE PFIZER INCPG PROCTER GAMBLE COT AT&T

TRV TRAVELERSUTX UNITED TECHVZ VERIZON COMMUN

WMT WAL MART STORESXOM EXXON MOBIL CP

9/24/2010

DJIA

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Value Weighted (e.g., S&P 500)• Most stock market indices are calculated this way.

• Uses market value weights:

Price per share × Number of Shares Outstanding for each company (some use float instead of outstanding, publicly available shares).

• Changes in large cap stocks (high market value) are relatively more important.

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Unweighted / Equal Weighted• The arithmetic average of the percentage changes in price

for all stocks in index.

• Equivalent to investing the same $ amount in each stock, then rebalancing each period.

• An equal weighted (unweighted) index is biased towards the returns of smaller companies relative to a value weighted index because small companies are quite numerous.

Instructions

• State Street Bank and Trust Company has created 9 Select SPDR ETFs. These 9 sector ETFs together can be used to replicate the S&P 500 index.

(The Regents’ portfolio holds all 9.)

• We’ll use information about them to construct the S&P 500 holdings and weights.

We’ll use information available at:http://www.sectorspdr.com/sectorspdr/sector/xlp

An example spreadsheet for the S&P 500 as of Sept. 9, 2014 is available at: http://www.unm.edu/~lboni01/SP502/

Which of the Regents’ portfolio holdings are under-weighted or over-weighted?

How much impact does a 10% change in a stock price have on the portfolio’s active return?

Company Name Ticker Weight % in Regents Portfolio

Weight % in the S&P 500 Benchmark

Delta = Weight% in Regents

Portfolio – Weight% in Benchmark

% Change in total value of

Regents Portfolio if

stock increases 10%

% Change in total value of

Regents Portfolio if

stock decreases 10%

Chevron CVX Nasdaq NDAQ Netflix NFLX Continental Res. CLR Apple AAPL