c7 8 equity portfolio management

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    1

    Courses 7, 8

    Equity Portfolio Management

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    2

    An individual can make a difference; a team can

    make a miracle

    - 1980 U.S. Olympic hockey team

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    3

    THE ROLE OF THE EQUITY

    PORTFOLIO

    x Equities represent a significant source of wealth in the world todayx As of 30 September 2004: the aggregate market value of the equities

    in the Morgan Stanley Capital International All Country World Index(MSCI ACWI) was more than $19 trillion

    x

    nearly 5 percent, equal to a market value of nearly $950 billion,represented emerging markets.

    x U.S. equity typically constitutes about half of the worlds equity.x In the U.S., institutional investors hold about 60% of their portfolio in

    equities. In Europe, the percentage is closer to 20%.

    x ability to be an inflation hedge (bonds are not) nominal returns arepositively correlated with inflation

    x equities have comparatively high historical long-term rates of return in study of 17 countries the long term real rates of return to equities

    exceeded that of bonds in all countries (see exhibit 2)

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    Passive Managementx no attempt to reflect investment expectations through

    changes in security holdings

    x indexing

    attempt to match the performance of some benchmark in US alone, more than $1 trillion in institutional

    indexed equities

    indexing is passive in the sense that the manager does

    not try to outperform the index, the execution ofindexing requires that the manager buy securities whenthe securitys weight increases in the index or sell stockwhen the securitys weight decreases in the index

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    Active Managementxprincipal way historically that investors

    manage equities

    even with growth of indexing, still accounts foroverwhelming majority of equity assets

    managed

    x

    seek to outperform benchmark

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    Semiactive Managementx enhanced indexingorrisk-controlled active

    management

    A semiactive manager attempts to earn a higherreturn than the benchmark while minimizing the

    risk of deviating from the benchmark.

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    ???x Investors who believe that an equity market is

    efficientwill usually favor.x Passive strategies are appropriate in a wide variety of markets.

    x When investing in large-cap stocks, indexing is suitable

    because these markets are usually informationally efficient. Insmall-cap markets, there may be more mispriced stocks, but the

    transactions costs of high turnover, active strategies increases.

    x In international equity markets, the foreign investor may lack

    information that local investors have. In this case, active

    investing would be futile and the manager would be wise to

    follow a passive strategy.

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    Active return/risk and

    information ratiox Active return (alfa) is the portfolios return in

    excess of the return on the portfolios benchmark.

    x

    Tracking risk, the annualized standard deviation ofactive returns, measures active risk (risk relative to

    the portfolios benchmark)

    x The information ratio equals a portfolios mean

    active return divided by tracking risk

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    10

    Indexing, Enhanced Indexing, and

    Active Approaches: A ComparisonIndexing Enhanced

    IndexingActive

    ExpectedActive Return

    0% 1% - 2% 2% +

    Tracking Risk

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    Passive Equity Investingx 1971 - Wells Fargo 1st indexed portfoliox 1973 Wells Fargo has commingled index fund for

    trust accounts

    x 1976 Wells Fargo combines funds and uses S&P500 as template for combined portfolio

    x 1981 Wells Fargo has fund to track marketoutside of S&P 500

    x 1975 Bogle at Vanguard launches 1st broad-market index fund for retail investors

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    Passive Equity Investingx many studies have found that the average

    active institutional portfolio fails to beat the

    relevant comparison index after expensesx Advantages of indexed portfolios:

    Low portfolio turnover

    Low management fees

    - High tax efficiencyExposure to markets with which an investor may be

    unfamiliar (e.g., an overseas market)

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    Equity Indicesx Three basic index weighting methods:

    price-weighted each stock is weighted according to its

    absolute share price (DJIA, NIKKEI); simply an

    arithmetic average of the prices of the securities included

    in the index

    value-weighted each stock is weighted according to its

    market cap (CAC40, S&P500, DAX, FTSE100);

    calculated by summing the total market value (current

    stock price times the number of shares outstanding) of

    all the stocks in the index - float-weighted index

    equal-weighted each stock is weighted equally (Value

    Line Arithmetic Composite Index); must be periodically

    rebalanced to maintain equal representation of the

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    Biases of weighting schemes

    PW: biased towards highest priced stocks

    VW: biased towards the shares of firms with the

    largest market caps EW: biased towards small firms

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    Problem of Benchmark Index

    SelectionxExample 1

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    Passive Equity Portfolio Management

    StrategiesxNot a simple process to track a market

    index closely

    x Three basic techniques: Full replication

    Sampling

    Quadratic optimization or programming

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    Passive Equity Portfolio Management

    StrategiesFull Replication

    xAll securities in the index are purchased in

    proportion to weights in the indexx This helps ensure close tracking

    x Increases transaction costs, particularly with

    dividend reinvestment

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    Passive Equity Portfolio Management

    StrategiesSampling

    x Buys representative sample of stocks in thebenchmark index according to their weights in theindex

    x Fewer stocks means lower commissions

    x Reinvestment of dividends is less difficult

    x Will not track the index as closely, so there will besome tracking error Tracking error will diminish as the number of stocks

    grows, but costs will grow (tradeoff)

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    Passive Equity Portfolio Management

    StrategiesQuadratic Optimization

    x Historical information on price changes and

    correlations between securities are input into acomputer program that determines the composition

    of a portfolio that will minimize tracking error with

    the benchmark

    x This relies on historical correlations, which maychange over time, leading to failure to track the

    index

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    Passive Portfolio Construction Methods

    x Example 2

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    Active Equity InvestingEquity styles:

    Value

    Growth Market-oriented

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    Value and Growth Stylesx Value substyles

    low P/E

    contrarian high yield

    x Growth substyles

    consistent growth earnings momentum

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    Value stylex Value investors focus on the numeratorin the P/E

    or P/B ratio, desiring a low stock price relative toearnings or book value of assets.

    x The two main justifications for a value strategy are(1) although a firms earnings are depressed now,the earnings will rise in the future as they revert tothe mean, and

    (2) value investors argue that growth investorsexpose themselves to the risk that earnings andprice multiples will contract for high-priced growthstocks.

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    Growth stylex Growth investors focus on the denominatorin the P/E ratio,

    searching for firms and industries where high expectedearnings growth will drive the stock price up even higher.

    x

    The riskfor growth investors is that the earnings growthdoes not occur, the price-multiple falls, and stock pricesplunge. Growth investors may do better during an economiccontraction than during an expansion. In a contraction, thereare few firms with growth prospects, so the growth stocks

    may see their valuations increase. In an expansion, manyfirms are doing well, so the valuation premiums for growthstocks decline.

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    market-oriented stylex The term market-oriented investing is used to

    describe investing that is neither value nor growth.It is sometimes referred to as blendorcore

    investing.x Market-oriented investors have portfolios that

    resemble a broad market average over time. Theymay sometimes focus on stock prices and othertimes focus on earnings.

    x The riskfor a market-oriented manager is that shemust outperform a broad market index or investorswill turn to lower cost indexing strategies.

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    Identifying investment stylesx 2 techniques for identifying investment

    styles:

    x Returns-based style analysisx Holdings-based style analysis

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    Returns-based style analysis

    x Involves regressing portfolio returns (generally monthlyreturns) on return series of a set of securities indices.

    x the security indices used should be mutually exclusive,exhaustive, and represent distinct, uncorrelated sources ofrisk.

    x The coefficient of determination in returns-based styleanalysis measures the style fit.

    x Returns-based style analysis has the advantage of being alow cost, quick, and consistent method of characterizing anentire portfolio.

    x Its disadvantages are that it may lead to misleading results ifmisspecified and it may detect style changes slowly.

    x Example 6

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    Holdings-based style analysis

    x Holdings-based style analysis evaluates portfoliocharacteristics using the following attributes: valueor growth, expected earnings growth, earningsvolatility, and industry representation.

    x Holdings-based style analysis has the advantagethat it can characterize individual securities andwill detect style changes more quickly than returns-

    based analysis.

    x Its disadvantage is that it subjectively classifiessecurities, requires more data, and is not consistentwith how most managers invest.

    x Example 8 &9

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    Style boxx A style box is a method of characterizing a

    portfolio's style. This method is used by

    Morningstar to characterize mutual funds and

    stocks. In this approach, a matrix is formed with

    value/growth characteristics across the top and

    market cap along the side. Morningstar uses

    holdings-based style analysis to classify securities.x See Exhibit 18 (Style Box for Vanguard Mid-Cap

    Growth Fund)

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    Style driftx Style drift is when a portfolio manager strays from his

    original, stated style objective.

    x There are two reasons why this can be problematic for an

    investor.x First, the investor will not receive the desired style

    exposure. This is a concern because value and growthstocks will perform quite differently over time and over thecourse of business cycles.

    x Second, if a manager starts drifting from the intended style,she may be moving into an area outside her expertise.

    x Example 10 (p.243)

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    Socially responsible investing (SRI)x Socially responsible investing (SRI), also known as

    ethical investing, is the use of ethical, social, orreligious concerns to screen investment decisions.

    x The screens can be negative, where the investorrefuses to invest in a company they believe is

    unethical; orpositive, where the investor seeks outfirms with ethical practices.x An example of a negative screen is an investor who

    avoids tobacco and alcohol stocks.x

    An example of a positive screen would be when theinvestor seeks firms with good labor andenvironmental practices.

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    Socially responsible investing (SRI)x Most SRI portfolios utilize negative screens, some use both

    negative and positive screens, and even less use onlypositive screens. An increasing number of portfoliomanagers have clients with SRI concerns.

    x A SRI screen may have an effect on a portfolios style. Forexample, some screens exclude basic industries and energycompanies, which typically are value stocks. SRI portfoliosthus tend to be tilted towards growth stocks. SRI screenshave also been found to have a bias toward small-cap

    stocks.

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    Semiactive equity investingx An enhanced indexingstrategy can be executed using either

    actual stocks orderivative contracts such as equity futures.x Using a stock-based enhanced indexing strategy, the

    manager underweights or overweights index stocks based onbeliefs about the stocks prospects. Risk is controlled by

    monitoring factor risk and industry exposures. The portfolioresembles the index, except where the manager has a specific

    belief about the value of an index security.x Semiactive versus active investing: If the manager does not

    have an opinion about an index stock in full blown active

    management, she doesnt hold the stock. If the manager doesnot have an opinion about an index stock in a stock-basedenhanced indexing strategy, she holds the stock at the samelevel as the benchmark.

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    Th f d t l l f ti

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    The fundamental law of active

    managementx The fundamental law of active management states that an investors

    information ratio is a function of his depth of knowledge aboutindividual securities and the number of investment decisions.

    x

    x The IC is measured by comparing the investors forecasts againstactual outcomes. The closer they are, the higher the correlationbetween them, and the greater the IC. More skillful managers willhave a higher IC.

    x Example 12 (p 252)

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    Managing a portfolio of managersx The equity investment decision focuses on the tradeoff between active risk

    and active return. Investors are usually more risk averse when facing activerisk than they are when facing total risk.

    x The investor must decide how much active risk he is willing to accept andwhat the best combination of equity managers is to achieve that active riskwhile maximizing active return.

    x In the first step in deciding how much equity to allocate to a group of equitymanagers, the investor will want to maximize the utility of his active return.The utility function for active return is similar to the utility function forexpected return.

    x The utility of the active return increases as active return increases, as activerisk decreases, and as the investors risk aversion to active risk decreases.Next, given his utility function, the investor needs to investigate the

    performance characteristics of available equity managers. An efficient frontieranalysis is useful here, except instead of using expected return and risk, thisefficient frontier plots expected active return and active risk usingcombinations of available equity managers.

    x P.254 (see example) core satellite

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    core-satellitex In a core-satellite approach to managing active

    equity managers, the investor has a core holding ofa passive index and/or an enhanced index that is

    complemented by a satellite of active managerholdings. The idea behind a core-satellite approachis that active risk is mitigated by the core, whileactive return is added by the satellites. The core is

    benchmarked to the asset class benchmark, whereasthe satellites are benchmarked to a more specific

    benchmark.

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    core-satellitex To minimize the differences in risk exposures between the

    portfolio and the benchmark, the investor can use acompleteness fund. The completeness fund complementsthe active portfolio, so that the combined portfolios have arisk exposure similar to the benchmark. The advantage ofthe completeness fund approach is that the active returnfrom the managers can be maintained, while active risk isminimized. The completeness fund must be rebalanced

    regularly as the active managers exposures change. Thefund can be managed passively or semiactively.

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    The components of total active returnx true active return = total active return normal

    portfolio returnx misfit active return = normal portfolio return

    investors benchmark returnx The true active return is "true" in the sense that it

    measures what the manager earned relative to thecorrect benchmark.

    x

    The misfit active return is "misfit" in the sensethat it measures that part of the managers returnfrom using a benchmark that is not suited to themanagers style.

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    The components of active riskx Using these components of return, we candecompose the managers total active risk into thetrue risk and misfit risk. The total active riskis the

    volatility of the managers portfolio relative to theinvestors portfolio.x

    x

    Using the true active return and true active risk, wecan define an information ratio that betterrepresents the managers skills:

    x true information ratio = true active return / trueactive risk

    h l i f f f

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    the analysis of fee structures for

    equity managersx

    Fees can be charged on an ad valorem basis orbased onperformance.x Ad valorem fees are also referred to as asset under

    management fees (AUM) and are charged based on the assetvalue managed and may be on a sliding schedule.

    x Aperformance-based fee is often charged as a base fee plussome percentage of the alpha.x The performance-based fee may also includefee caps and

    high water marks.x A fee cap specifies a maximum performance fee. The intent

    is to prevent managers from undertaking too much risk toearn higher fees.x A high water mark condition requires the manager to

    compensate for past underperformance before receiving aperformance-based fee.