international banking capm.pptx

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    Capital

    AssetPricing

    Model

    Manuel Cervera 185184

    Violetta

    Prof. Dr. Kurt A. Hafner

    International Banking

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    The model was introduce by William Sharpe, John Litner

    and Jan Mossin.

    No matter how much we diversify our investments, it's

    impossible to get rid of all the risk. As investors, we

    deserve a rate of return that compensates us for taking on

    risk.

    The capital asset pricing model (CAPM) is used in finance

    to determine a theoretically appropriate price of an asset

    given that assets to non-diversifiable risk.

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    The CAPM builds on the model of portfolio choice

    developed by Harry Markowitz (1959).

    The attraction of the CAPM is that it offers powerful and

    intuitively pleasing predictions about how to measure risk

    and the relation between expected return and risk.

    This analysis implies to find securities with low

    covariance (correlation) with the market.

    Since investors will prefer securities with low covariance,

    securities with low (high) covariance have a high (low)price and therefor a low (high) E(r).

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    Is the only relevant measure of a stocks risk. It measures the part of the assets statistical variance that

    cannot be diversified.

    It is found by statistical analysis of individual, daily share

    price returns, in comparison with the market's daily

    returns over precisely the same period.

    Positive beta or negative beta?

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    Positive beta or negative beta? If the stock has a high positive :

    It will have large price swings driven by the market.

    It will increase the risk of the investors portfolio.

    The investor will demand a high E(r) in compensation. If the stock has a negative :

    It moves against the market.

    It will decrease the risk of the market portfolio.

    The investor will accept a lower E(r).

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    For individual securities, we make use of the security

    market line (SML) and its relation to expected return and

    systematic risk (beta).

    The SML enables us to calculate the reward-to-risk ratio

    for any security in relation to that of the overall market.

    Therefore, when the expected rate of return for any

    security is deflated by its beta coefficient, the reward-to-

    risk ratio for any individual security in the market is equal

    to the market reward-to-risk ratio, thus:

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    The market reward-to-risk ratio is effectively the market

    risk premium and by rearranging the equation of last slice

    and solving for E(Ri), we obtain the capital asset pricing

    model (CAPM).

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    CAPM's starting point is the risk-free rate - typically a 10-

    year government bond yield.

    To this is added a premium that equity investors demand

    to compensate them for the extra risk they accept.

    This equity market premium consists of the expected

    return from the market as a whole less the risk-free rate ofreturn. The equity risk premium is multiplied by a

    coefficient that Sharpe called "beta."

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    All investors:

    1. Aim to maximize economic utilities (Asset quantities are given andfixed).

    2. Are rational and risk-averse.

    3. Are broadly diversified across a range of investments.

    4. Are price takers, i.e., they cannot influence prices.

    5. Can lend and borrow unlimited amounts under the risk free rate ofinterest.

    6. Trade without transaction or taxation costs.

    7. Deal with securities that are all highly divisible into small parcels(All assets are perfectly divisible and liquid).

    8. Have homogeneous expectations.

    9. Assume all information is available at the same time to allinvestors.

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    1. We will choose a stock and a market.

    2. We will calculate Beta.

    3. We will find the risk-free return that we will use.

    4. We will find the Risk Premium.

    5. We will calculate the CAPM, and we will compare our

    results.

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    The model does not adequately explain the variation in

    returns of securities. Empirical studies show that assets

    with low betas can offer the higher returns that the model

    suggests.

    The model assumes that all investors have access to thesame information, and agree on the risk and the expected

    return for all assets.

    The market portfolio consists of all assets in all markets,

    where each asset is weighted by market capitalization.

    This assumes that investors have no preference between

    markets and assets, and picking only assets according to

    their risk-return profile.

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    RESOURCES

    Books:

    Systematic Guide to Write a Research paper. S.S. Bhakar and

    Seema Mehta.

    Papers:The Capital Asset Pricing Model: Theory and Evidence.

    Eugene. F. Fama and Kenneth R. French. 2004. Journal of

    Economic Perspective

    An intertemporal Capital Asset Pricing Model. Robert C.

    Merton. 1973. Econometrica, Vol. 41, No 5.

    Website:

    http://book.ivo-welch.info/ed3/chap09.pdf

    http://www.columbia.edu/~ks20/FE-Notes/4700-07-Notes-

    CAPM.pdf

    http://book.ivo-welch.info/ed3/chap09.pdfhttp://www.columbia.edu/~ks20/FE-Notes/4700-07-Notes-CAPM.pdfhttp://www.columbia.edu/~ks20/FE-Notes/4700-07-Notes-CAPM.pdfhttp://www.columbia.edu/~ks20/FE-Notes/4700-07-Notes-CAPM.pdfhttp://www.columbia.edu/~ks20/FE-Notes/4700-07-Notes-CAPM.pdfhttp://www.columbia.edu/~ks20/FE-Notes/4700-07-Notes-CAPM.pdfhttp://www.columbia.edu/~ks20/FE-Notes/4700-07-Notes-CAPM.pdfhttp://www.columbia.edu/~ks20/FE-Notes/4700-07-Notes-CAPM.pdfhttp://www.columbia.edu/~ks20/FE-Notes/4700-07-Notes-CAPM.pdfhttp://www.columbia.edu/~ks20/FE-Notes/4700-07-Notes-CAPM.pdfhttp://www.columbia.edu/~ks20/FE-Notes/4700-07-Notes-CAPM.pdfhttp://www.columbia.edu/~ks20/FE-Notes/4700-07-Notes-CAPM.pdfhttp://book.ivo-welch.info/ed3/chap09.pdfhttp://book.ivo-welch.info/ed3/chap09.pdfhttp://book.ivo-welch.info/ed3/chap09.pdfhttp://book.ivo-welch.info/ed3/chap09.pdf
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