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    Co-Movement of Global

    Capital Markets

    Group No: 9, Section B

    Ankit Mangla 11P123

    Dipesh Kaien 11P134

    Prakash Kumar 11P154

    Varun Garg 11P179

    Vishal Gupta 11P180

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    ContentsCO-MOVEMENT OF GLOBAL CAPITAL MARKETS .......................................................................... 2

    Introduction.............................................................................................................................................. 2

    Definition.............................................................................................................................................. 3

    Motivation ............................................................................................................................................ 3

    Global Stock Market Integration and the factors affecting Co-movements............................................. 4

    Bilateral Trade relationships ................................................................................................................. 7

    Macro-economic factors & Financial markets Integration ................................................................... 8

    Other Factors ........................................................................................................................................ 9

    Implications ........................................................................................................................................... 10

    Research Methodology ............................................................................................................................... 12

    Index Description.................................................................................................................................. 13Results ......................................................................................................................................................... 15

    Analysis of results obtained ........................................................................................................................ 16

    Additional Research .................................................................................................................................... 18

    References ................................................................................................................................................ 20

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    CO-MOVEMENT OF GLOBAL CAPITAL MARKETS

    Introduction

    In this world of globalization, companies and individuals are more and more affected by

    what is happening in the world as compared to earlier times. Companies operate in tens

    of countries and sell products around the globe. Liberalizations of capital flows and

    financial innovations supported by the improvements in information and communication

    technologies enabled such rapid international growth of businesses.

    In this article, we will talk about the co-movements of the global capital markets. We

    often see that any event happening in any country affects the markets in that country

    immediately. But most of the times, depending upon the event, we see the cascading

    effects on other major markets of the world. Sometimes the impact is huge which the

    whole world notices while in other cases, it is minor and goes without attracting much

    public attention.

    The most recent financial crisis of 2008-09 during which nearly all world stock markets

    experienced severe downturns, may fill us with feeling that there is just one big

    integrated marketplace. However, to assess the actual degree of co-movements

    between the international stock markets empirical investigation over longer period on a

    day to day basis is necessary.

    Knowing the inter dependence on different markets can help the community in different

    ways:

    Advantage of international diversification of portfolio

    Development in other markets and its influence on value of stocks in our industry

    Correlation patterns between the national stock markets and their implications for

    the stability of the financial system

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    Definition

    1. Co-movement

    Refers to the tendency of two or more stock markets to move simultaneously

    together, so their price movements are positively correlated

    2. Spillover

    Effects of an activity which have spread further than were originally intended or any

    type of impact on other countries financial markets

    3. Contagion

    It refers to the significant increase in cross market linkages during crisis

    Motivation

    Earlier the only motivation to study co-movements of markets was for portfolio

    construction purposes. But crisis that have happened at different points in history could

    not be explained by contemporary knowledge and theories. Some examples are:

    Crash of 1987: Began in Hong Kong, spread throughout Europe and finally hit

    US. The stock markets around the world (e.g. Australia, New Zealand, Spain,

    United Kingdom, Germany, Japan and Canada) fell by tens of per cent by the

    end of October

    Asian crisis of 1997: Started in Thailand as a currency crisis. Spread to East Asia

    and Russia and subsequently to Brazil.

    Events like these forced the world to turn their attention towards possible reasons for

    the spread of such crisis form their host country to other parts of the world. The issue of

    ripple co-movement among stock markets has become an important substance in the

    modern finance. The degree of linkages, co-movements or interdependencies among

    the stock markets provides important implications on potential benefits of international

    portfolio diversification and on financial stability of a country. The emerging markets are

    also found to be more closely integrated with markets in the rest of the world, although

    their integration progress has been far less than the industrial countries. This further

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    implies that the potentialities of portfolio diversification benefits across the world stock

    markets in the long run tend to diminish. In addition, an escalating integration among

    the national stock markets further implies that international financial instabilities are

    easily transmitted to domestic financial markets, a phenomenon called as financial

    contagion.

    Global Stock Market Integration and the factors affecting Co-movements

    The movement towards a synchronized stock market landscape has gained momentum

    during the past two decades, where tighter economical and financial linkages among

    developed economies have grown stronger. However, the rises of many important

    emerging markets, which have been a major driver of global growth the past decades,have opened up additional sources for cross-border relations. Other causes behind the

    rapid increase in world trade, capital movements, and foreign investments between

    world economies are due to market liberalization/deregulation, technological advances

    and removals of statutory controls. Many of these factors have contributed to more

    interlinked economies, which in turn, are said to have given rise to a higher degree of

    stock market synchronization, especially in volatile time periods, e.g. eruption of a

    financial crisis, war, or political instability (Mobarek,2011). The impact of 2008 financial

    crisis, have opened up a tremendous interest for determining the underlying factors that

    might explain how stock markets are correlated with one and other for better

    understanding their causes. To investigate the intensity of one country to be affected by

    global shocks have enormous value for preventing future crises. The extent of financial

    and economical integration between a country-pair may indeed be reflected by the

    degree of stock markets co-movement that they exhibit. In fact, the macro-economic

    structures of international economies have clearly intensified the complexity behind

    stock market performances. As countries become more economically interlinked,

    explaining the formation of price co-movement between stock markets on an

    international level is significant for better understanding this higher interdependency and

    integration. However, the contemporary research in stock market integration has not

    sufficiently focused on determining the driving forces behind co-movement although this

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    information would be most effective for policy-makers and investors that are keen to

    know how economic linkages may influence the countries financial stability,

    diversification possibilities and what types of common and specific shocks stock

    markets are most vulnerable against (Mobarek,2011).

    Greater degree of co-movements in stock prices is seen as a reflection of greater stock

    market integration. Research till date indicate that a reasonably clear time trend is

    identified, where the extent of contemporaneous co-movement across markets has

    intensified over time, especially for emerging countries, which consequently suggests

    that greater market efficiency is being fostered at the international level. There are also

    evidences that some markets are more likely to lead other markets. These alterations

    might be due to possible changes in a countrys economy and market conditions, but

    also the stability of global markets. Nevertheless, the highly sophisticated market of the

    US and the emerging markets of Brazil and Russia appear to affect other rather than be

    affected. Some of the research works focused on trying to identifying the

    explanatory variables affecting the stock market co-movements include import

    dependence, stock markets size differential and their relative size, difference in

    annual GDP growth rate as well as the time trend (Mobarek,2011).

    A few research works conclude that the degree of interdependence among the Asian-

    Pacific markets increased substantially after the 1987 & 1997 stock market crash and

    where the U.S market possesses an influential role affecting these markets. In addition,

    the risk reduction benefits of international portfolio diversification have been reduced

    due to the higher interdependence that has been observed in these markets. However,

    Longin & Solnik (1995) examined the correlation for seven major European countries

    over the period 1960-90 indicating that not only is the international covariance and

    correlation matrices unstable over time, but that correlation rises in periods when the

    conditional volatility of markets is large. Karolyi & Stulz (1996) explores the co-

    movements between the Japanese and U.S stock markets from 1988-1999, showing

    that correlation and covariance are high when markets move a lot, hence demonstrating

    the shortcomings of international diversification in times of high volatility which is when it

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    is most needed. In light of the benefits of international portfolio diversification ( Solnik,

    1995), there is a range of studies that deals with emerging stock markets, which are

    said to have lower exposure to world factors, thus having lower levels of integration and

    therefore may offer greater opportunities for risk diversification across countries.

    Moreover, Ampomah (2008) presents evidence that African stock markets are still

    segmented from global markets offering strong diversification benefits. Another type of

    studies has provided evidence on which markets dictates over other markets. An early

    study by Eun & Shim (1989) highlights the influence and power that the U.S stock

    market has on the stock markets of eight other developed countries. Findings

    indicate that a substantial amount of interdependence exists, where the U.S stock

    market represents the most influential world economy having by far a dominant position

    when it comes to producing valuable information that affects world stock markets.

    Empirically they found that innovations in the US stock market were rapidly transmitted

    to the rest of the world, whereas innovations in other markets did not have much effect

    on the US market. Thus US market domination in co-movements of other markets is

    obvious.

    A very few studies evidence on the determinants of stock market co-movement

    has been presented by Pretorius (2002), which examined ten emerging stock

    markets for the period 19952000 by employing a cross-section and a time-series

    model. The major findings showed that only bilateral trade and the industrial

    production growth differential were significant for explaining the correlation

    between two countries on a cross-sectional basis. Similar results were achieved by

    the time-series regression. They conclude that the higher levels of market co-movement

    during the observed periods are mostly due to interdependence, which depend on the

    linkages that economies have with each other. Results show that trade and financial

    integration contributes positively to stock market synchronization, while a fixed

    exchange rate regime increases co-movements. Other factors such as the

    similarity of economic structure across countries, informational asymmetries and

    a common language also contribute to stock market synchronization. Morgado &

    Tavares (2007) examined the impact of bilateral indicators of economic integration on

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    the correlation of stock return of 40 developed and emerging markets for the period

    19701990. Results showed that bilateral trade intensity affects the correlation

    positively, whereas the asymmetry of output growth, the dissimilarity of export structure

    and the real exchange rate volatility have negative effects on stock return correlation. A

    few research results indicate that the degree of international integration (measured as

    the magnitude of the correlation structure) is positively associated with (1) world market

    volatility and (2) trend; while it is negatively related to (3) exchange rate volatility, (4)

    term structure differential across markets, (5) real interest rate differential. A few main

    empirical results from these studies show that (Bracker et al., 1999) Several

    macroeconomic factors are significantly associated with the extent of stock market

    integration over time, e.g. trade, geographic distance, the nature and extent of the

    bilateral trade relationships, GDP Annual growth rate differential, stock market size

    differential, time trend, and real interest differential (Johnson & Soenen, 2002).

    Asian stock markets became more integrated with the Japanese stock market over

    time, especially since 1994, where increased export share from Asian economies to

    Japan and greater foreign direct investment from Japan to other Asian economies

    contributes to greater co-movement; (Johnson & Soenen, 2003) indicating that a high

    share of trade with the US has a strong positive effect on stock market co-movements

    for equity markets of the America, whereas increased bilateral exchange rate volatility

    and a higher ratio of stock market capitalization relative to the US contribute to lower co-

    movement.

    In nutshell following are some of the factors which have been focused upon till date in

    the research works considered as the driving forces behind the co-movement of the

    stock markets:

    Bilateral Trade relationships

    The importance of the bilateral trade relationships lies in the relative size of the export of

    a country with the other country relative to its total export size in value. Similarly the size

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    of the import relative to its total import affects the co-movement of the market index. The

    higher export or import dependence on any country will impact the co-movements. If

    there is any severe impact affecting the bilateral trade relationships, this will reflect in

    the relative returns of the stock-markets. Although the contribution of international trade

    in goods is usually recognized as increasing the extent of business cycle

    synchronization, its overall effects on co-movements of stock index remain ambiguous

    (Walti, 2005). On the demand side, higher aggregate demand in one country will

    partially fall on imported goods, thereby raising output and income in trading partners

    economies and inducing output co-movements across countries. On the supply side,

    however, there are two opposite effects which relate to two different approaches to

    modeling international trade. Intra-industry models of trade emphasize economies with

    similar production structures and factors. To the extent that trade occurs mostly within

    industries, an expansion in some industries will raise output co-movements across

    countries. However, trade integration may also lead economies to specialize in the

    production of goods for which they have a comparative advantage, hence reducing co-

    movements. The net impact of international trade on co-movements is therefore

    ambiguous.

    Macro-economic factors & Financial markets Integration

    The macroeconomic factors include, inflation rate differential, real interest rate

    differential and GDP annual growth rate differential, are expected to be negatively

    related to the co-movements in a stock markets pair. Indeed, the larger these

    differences become, the larger the divergence between the economy linkages of the two

    countries and hence the less their stock markets will be influenced by each other (Walti,

    2005). The degree of other financial market integration such as money market, debt

    market, foreign exchange, credit markets also affects the correlation of the equitymarkets. However, the exact trend of their specific correlation is not clear due to the

    complexities involved in the linkages among these markets themselves.

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    The nature of the exchange rate regime is likely to have implications for the degree of

    covariation between national economies. The argument in favour of floating exchange

    rates is that they act as a shock absorber for external disturbances. A greater flexibility

    of the exchange rate should therefore reduce the effects coming from the transmission

    of country-specific real shocks, thereby delivering lower output co-movements across

    countries. Similarly, provided that capital flow mobility is high, maintaining a fixed

    exchange rate requires a high degree of coordination of monetary policies, thereby

    inducing greater co-movements in economic conditions and consequently greater co-

    movement among the index. In the extreme case of a currency union like EU, the

    stance of monetary policy would in fact be identical for all participating countries.

    Other Factors

    The other group of variables affecting the co-movement of the index includes indicators

    of the stage of stock markets development, such as stock markets size differential and

    relative size. More specifically, the stock market capitalization of a country may be a

    measure of the ease or difficulty, in terms of liquidity and costs, of trading on that stock

    market. While a large difference in market size for a pair of countries may determine

    less co-movements between their respective stock markets, the relative size of the two

    markets in the pair have opposite effects.

    Lastly, a time trend has been identified in a few research works including the possibility

    that stock market inter-dependence has increased over time, due to the advanced

    communications technology, the eased flow of information, trade and capital across

    borders and the increasing cross-listing of stocks and mergers between stock markets

    of different countries (Forbes & Rigobon, 2002).

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    Implications

    In an era of mounting Liberalization, Privatization and globalization in the emerging

    economies, the transmission of movements in international financial markets and assets

    are important issues for cross border investments, especially in periods where marketsare highly volatile. The determination of diversification strategies by an international

    investor also depends crucially on the nature and magnitude of the relationships (co-

    movement) existing between different stock markets especially emerging markets. Thus

    it becomes important for international investors to understand the co-movement and

    interdependence among the various markets to diversify their portfolio risks and to

    derive high return.

    Most of the studies on the international capital market are based on the segmented

    market approach. According to it, different national capital markets act as separated

    entities, hardly related to each other. If this is true, comparable capital assets may differ

    in their on different national markets.

    Alternately, another theory says that prices of capital assets in the international capital

    markets behave as if there is one multinational perfect capital market. According to it,

    returns of comparable capital assets must not be substantially different in different

    national capital markets.

    Thus we see that how markets co-move has significant impact on the returns that

    different capital assets may provide. The results of this study have important

    implications for the benefits of international portfolio diversification strategies and the

    convergence of the cost of capital across countries. Changes in co-movement across

    world markets has important implications for the degree of diversification that can be

    achieved by including international stocks in portfolios and for the cost-of-capital for

    firms seeking to lower their cost of capital by issuing securities in different world

    markets.

    Knowledge about the co-movement of capital markets can permit verification of the

    simultaneous occurrence of booms or crashes in two markets, and the intensity of the

    effect. For portfolio managers to carry out their international asset allocation strategies,

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    it is important for them to assess the probability of the occurrence of extreme events

    with negative repercussion in the markets under consideration

    The knowledge about co-movement can also help the investors who believe that the

    twenty-first century may well be the time when the balance of power shifts to Brazil,

    Russia, India and China, nations collectively referred to as BRICs economies. Foreign

    Investors are investing considerably in the emerging economies with mainly two

    objectives:

    To enhance the portfolio growth

    To reduce portfolio risk through efficient international portfolio diversification

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    Research Methodology

    1. Literature review was done for reasons of co-movement between various stock

    indices the reason for that and implications.

    2. 9 indexes were selected, which represented countries across the globe.

    Countries covered different continents, Developed and developing countries,

    some different indices with in the countries

    3. Index closing data for these 9 index was collected for past 11 years (2000-11)

    4. Data was adjusted for holiday, we considered all the weekdays falling during the

    study period

    5. Where data was missing for individual indexes we considered last day closing

    index level

    6. Day wise return was calculated for selected index for the study period considered

    7. Pair wise correlation and covariance matrix was constructed for these 9 indexes

    for the return data found in previous step

    8. The result obtained was analyzed in light of literature review and macroeconomicconditions

    Following indices were considered which are described in report also

    NIFTY S&P CNX

    CAC Index

    Nikkei 225

    NASDAQ

    Brazil Bovespa Index

    S&P500 Russell 2000 Index

    FTSE Index

    DAX Index

    The index description is given in the below

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    Index Description

    Index Representing

    Number

    of Stocks

    Weighting

    of Index

    Special

    CharacteristicsDrawbacks/Comments

    Dow Jones

    Industrial

    Average

    U.S. blue chip

    companies30

    Price-

    weighted

    The oldest and

    most widely

    followed U.S.

    equity index

    30 stocks chosen by

    Wall Street Journal

    editors; large, mature

    blue chip companies

    NikkeiStock

    Average

    Japanese bluechip

    companies

    225Modifiedprice-

    weighted

    Originally

    formulated by

    Dow Jones &Company, using

    essentially the

    same method as

    the DJIA

    Also known as the

    Nikkei 225. There is a

    huge variation in

    share price levels of

    the componentcompanies, and some

    high-priced shares are

    weighted at a fraction

    of their share price.

    Some component

    stocks are illiquid.

    S&P TSX

    Composite

    Broad market

    cap stocks

    listed on the

    Toronto Stock

    Exchange

    VariesFloat-

    weighted

    Very

    comprehensive

    index

    Widely used Canadian

    equities benchmark

    CAC 40

    French blue

    chip

    companies

    40Float-

    weighted

    Chosen from the

    100 largest

    market cap

    stocks on the

    Paris Bourse

    (Euronext Paris)

    DAX 30

    German blue

    chip

    companies

    30Float-

    weighted

    Published by the

    Frankfurt Stock

    Exchange

    Widely used German

    equities benchmark

    FTSE 100

    The 100

    largest

    publicly

    traded stocks

    on the London

    Stock

    Exchange

    100Float-

    weighted

    A large-cap

    index,

    pronounced

    Footsie 100

    There are also a FTSE

    Mid 250 for mid-cap

    stocks and a small-cap

    index.

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    Russell2000

    The smallest

    2,000 stocksin the Russell

    3000

    2,000 on the

    day the new

    composition

    is

    determined

    Float-weighted

    "A small-capindex"

    The many U.S. small-

    cap index funds

    tracking this index and

    the consequent

    annual reconstitution

    costs and possible tax

    consequences make

    this a relatively high-

    cost benchmark

    for a U.S. small-cap

    index fund.

    S&P 500

    Predominantly

    large-cap

    companiesrepresentative

    of the U.S.

    stock market

    500 Float-weighted

    Membership

    determined by acommittee of

    S&P employees

    Its popularity with

    indexers

    causes new

    components to earnaverage positive

    abnormal returns on

    the announcement

    that they are joining

    the index

    (Lynch, 1997) and Malkiel and Radisich (2001)

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    Results

    Covariance Matrix

    Covariance

    matrix

    NIFTY S&P

    CNX

    CAC

    Index

    Nikkei

    225

    NASDA

    Q

    Brazil

    Bovespa

    Index

    S&P500

    Russell

    2000

    Index

    FTSE

    Index

    DAX

    Index

    NIFTY S&P

    CNX0.00027 0.00008 0.00008 0.00005 0.00007 0.00004 0.00005 0.00007 0.00007

    CAC Index 0.00008 0.00025 0.00007 0.00014 0.00014 0.00012 0.00013 0.00018 0.00022

    Nikkei 225 0.00008 0.00007 0.00024 0.00003 0.00005 0.00002 0.00003 0.00006 0.00006

    NASDAQ 0.00005 0.00014 0.00003 0.00033 0.00020 0.00022 0.00027 0.00010 0.00016

    Brazil

    BovespaIndex

    0.00007 0.00014 0.00005 0.00020 0.00036 0.00016 0.00019 0.00011 0.00014

    S&P500 0.00004 0.00012 0.00002 0.00022 0.00016 0.00019 0.00021 0.00009 0.00013

    Russell 2000

    Index0.00005 0.00013 0.00003 0.00027 0.00019 0.00021 0.00028 0.00010 0.00014

    FTSE Index 0.00007 0.00018 0.00006 0.00010 0.00011 0.00009 0.00010 0.00017 0.00016

    DAX Index 0.00007 0.00022 0.00006 0.00016 0.00014 0.00013 0.00014 0.00016 0.00026

    Correlationmatrix

    NIFTY S&PCNX

    CACIndex

    Nikkei 225

    NASDAQ

    BrazilBovespa

    Index

    S&P500

    Russ

    ell

    2000

    Inde

    x

    FTSEIndex

    DAX Index

    NIFTY S&P CNX 1.00 0.30 0.32 0.17 0.23 0.19 0.19 0.31 0.28

    CAC Index 0.30 1.00 0.29 0.48 0.46 0.56 0.50 0.89 0.87

    Nikkei 225 0.32 0.29 1.00 0.11 0.17 0.12 0.10 0.30 0.26

    NASDAQ 0.17 0.48 0.11 1.00 0.57 0.88 0.88 0.44 0.53

    Brazil

    Bovespa

    Index

    0.23 0.46 0.17 0.57 1.00 0.62 0.59 0.47 0.47

    S&P500 0.19 0.56 0.12 0.88 0.62 1.00 0.90 0.53 0.60

    Russell 2000

    Index0.19 0.50 0.10 0.88 0.59 0.90 1.00 0.47 0.53

    FTSE Index 0.31 0.89 0.30 0.44 0.47 0.53 0.47 1.00 0.79

    DAX Index 0.28 0.87 0.26 0.53 0.47 0.60 0.53 0.79 1.00

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    Analysis of results obtained

    We have taken 9 indices covering various countries namely India, USA, Germany, UK,

    Brazil. Japan and France. Based on the correlation matrix above, we can conclude to

    certain extent the reasons and justifications of co-movements of various markets. There

    may be various reasons for two markets two co-move and the extent of co-movement.

    Nifty (India) does not have a substantially high value of co-relation with any of the

    indices. The highest is in range of 0.3-0.32 for France, Japan and UK. This can be

    attributed to the fact that India is a developing country and most of the indices in the

    table are of developed countries (with the exception of Brazil).

    CAC Index (France) is highly co-related and co-moves with the indices of other

    European countries like UK (0.89) and Germany (0.87). It may be due to similar

    levels of development of economies. Also their geographical proximity results in any

    effect in any market to quickly reach the neighboring markets.

    CAC is also co-related to US indices (NASDAQ- 0.48, Russell-0.45 and S&P-0.56)due to significant financial market integration such as money market, credit market,

    debt and bond market. Since both the US and EU are developed, so we expect

    some co-movement among indices of these countries.

    Similar characteristics are also shown by other European indices.

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    Nikkei (Japan) has highest value of co-relation with Nifty. This may be because of

    the fact that both the countries are part of Asian sub continent and thus geographical

    location is an important factor. It is also co-related to a similar extent to European

    indices. However, it has very low value of co-relation with US indices.

    US indices have high co-relation with indices within the country and Brazil (due to

    geographical factors). It is also significantly co-related to European indices as both

    US and Europe are developed economies and thus markets tend to co-move.

    Brazilian index tends to have high co-relation with US indices due to location factors.

    Next it has high co-relation values with European indices due to information

    integration.

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    Additional Research

    Efficient Portfolio using Index Funds

    An efficient portfolio is one that lies on the efficient frontier.

    An efficient portfolio provides the lowest level of risk possible for a given level of

    expected return. If a portfolio is efficient, then it is not possible to construct a portfolio

    with the same, or a better level, of expected return and a lower volatility.

    An efficient portfolio also provides the best returns achievable for a given level of risk. If

    a portfolio is efficient it is not possible to construct a portfolio with a higher expected

    return and the same or a lower level of volatility with the securities available in the

    market, excluding risk free assets. Adding the latter allows one to construct portfolios

    that lie on the securities market line.

    (moneyterms.co.uk)

    We constructed a sample efficient portfolio using Jan 2000 to Mar 2000 data.

    Imitations to considering such a short horizon .a short portfolio is constructed due to the

    hardware constraint as the hardware that we have was not able to process 10 years f

    data

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    -0.2

    -0.15

    -0.1

    -0.05

    0

    0.05

    0.1

    0.15

    0 0.5 1 1.5 2 2.5

    Return(%)

    Systematic Risk (Standard Deviation)

    Efficient Frontier and Capital Market Line

    Efficient Portfolio of Index Funds using Markowitz Optimizer

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