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SAPM lecture 4 Capital Asset Pricing Model theory

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Page 1: SAPM lecture 4 Capital Asset Pricing Model theory

Capital Asset Pricing Model(CAPM)

Developed and modified by W.Sharpe and J. Tobin

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Page 2: SAPM lecture 4 Capital Asset Pricing Model theory

• It is set of principles describing how people behave in the market.

• It describes how Investor’s behavior should affect security prices rather than explaining what investors actually observe in the market.

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Page 3: SAPM lecture 4 Capital Asset Pricing Model theory

Assumptions:

• The investors objective is to maximize the utility of wealth

• Investors make choices solely on the basis of risk and return

• Investors have homogeneous expectations

• Investors have identical one period time horizons

• Information is freely available

• There is risk free asset and investor can borrow and lend any amount of money at the risk free rate

• There are no taxes, transaction costs, or other market imperfections

• Total asset quantity is fixed and all assets are marketable and divisible

• Capital markets are in equilibrium

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Page 4: SAPM lecture 4 Capital Asset Pricing Model theory

Capital Market Line (CML)

• Next step in deriving the asset pricing model is to define a set of criteria for identifying preferred investments

• It utilizes only the mean and variance expected return to identify the investment that dominate

• Using the mean as the measure of expected return and the standard deviation as the measure of risk, we can represent any investment in risk-return space as a single point

• Introduction of risk free asset with borrowing and lending at the risk free rate leads to the CML

• CML is a linear relationship between expected return and total risk

• The difference between the CML and the old efficient frontier of assets identifies the risk [email protected]

Page 5: SAPM lecture 4 Capital Asset Pricing Model theory

• The capital asset pricing model gives a relationship between a securities risk and return

• The excess of return earned on any other security is the risk premium or the reward for the excess risk pertaining to that security

• The market risk premium is the difference between Average Rate of Return on Market and Risk free rate.

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Page 6: SAPM lecture 4 Capital Asset Pricing Model theory

Security Market Line (SML)

• The graphical version of CAPM is called SML

• It shows relationship between beta and required rate of return

• CAPM identifies security return net of the risk free rate as proportional to the expected net market return, where beta serves as the constant proportionality

• As a consequence of this relationship, all securities in equilibrium plot along straight line is called SML.

• It is an alternative to CML which will use beta as the independent variable and will accommodate both portfolios and individual assets

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Page 7: SAPM lecture 4 Capital Asset Pricing Model theory

• SML has positive slope, indicating that the expected return increases with risk

• Expected return= Riskless rate + systematic risk premium which is proportional to its beta

• If individual asset and portfolios are priced correctly, then all currently priced assets must lie on the SML

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Page 8: SAPM lecture 4 Capital Asset Pricing Model theory

• An asset lying above SML is undervalued because it offers a return higher than what is consistent with the systematic risk it carries.

• An asset lying below SML is overvalued because it offers a return lower than what is consistent with the systematic risk it carries

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