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Risk on Portfolio
• It is not the same risk on individual securities.
• The risk on the portfolio is reflected in the
  variability of returns from zero to infinity.
• Two measures of risk are average absolute
  deviation and standard deviation.
Capital Asset Pricing Model
• CAPM is an framework for determining the
  equilibrium expected return for risky assets.
• Relationship between expected return and
  systematic risk of individual assets or securities or
  portfolios.
• William F Sharpe developed the CAPM. He
  emphasized that risk factor in portfolio theory is a
  combination of two risk , systematic and
  unsystematic risk.
Elements of CAPM
1.   Capital Market Line – risk return relationship for
     efficient portfolios.
2.   Security Market Line – Graphic depiction
     (representation) of CAPM and market price of risk in
     capital markets.
     a) Systematic Risk
     b) Unsystematic Risk
3.   Risk Return Relationship
4.   Risk Free Rate
5.   Risk Premium on market portfolios
6.   Beta - - Measure the risk of an individual asset
     value to market portfolio.
     Assets- a). Defensive Assets and b). Aggressive
     Assets.
Total Risk = Systematic Risk +
STD DEV OF PORTFOLIO RETURN
                            Unsystematic Risk




                                      Unsystematic risk
                              Total
                              Risk
                                                 Systematic risk



                                  NUMBER OF SECURITIES IN THE PORTFOLIO
• Systematic risk…
  – It cannot be eliminated through diversification
  – It can be measured in relation to the risk of a
    diversified portfolio or the market.
  – According to CAPM, the Non-Diversifiable risk of
    an investment or security or asset is assessed in
    terms of the beta co-efficient.
• Unsystematic or Diversifiable Risk
  – Is that portion of the total risk of an investment
    that can be eliminated or minimized through
    diversification.
  – Eg. Management Capabilities and
    decisions, Strikes, unique government
    regulations, availability of raw
    materials, competition, etc.,
Assumptions of CAPM
1.   Individuals are risk averse.
2.   Individuals seek maximizing the expected return
3.   Homogeneous expectations
4.   Borrow or Lend freely at risk less rate of interest.
5.   Market is perfect
6.   Quantity of risky securities in market is given.
7.   No transaction cost.
CAPM Formula
CAPM
Rs = Rf   + β (Rm – Rf)
Rs = Expected Return/ Return required on the investment
Rf = Risk-Free Return/ Return that can be earned on a risk-
    free investment
Rm = Average return on all securities
β = The securities beta (systematic) risk factor.
Rj = Rf +            j(RM   - Rf)
Required Return




                  RM                                         Risk
                                                           Premium
                  Rf
                                                           Risk-free
                                                            Return
                                M   = 1.0
                       Systematic Risk (Beta)
Calculation of Beta
• Beta measures non-diversifiable risk
• It shows how the price of a security responds
  to market forces.
• In effect, the more responsive the price of a
  security is to changes in the market, the
  higher will be its beta.
• Betas can be positive or negative however, all
  betas are positive and most betas lie between
  0.4 to 1.9.
• Investors will find beta helpful in assessing
  systematic risk and understanding the impact
  market movements can have on the return
  expected from a share of stock.
• CAPM uses beta to viewed both as a
  mathematical equation and graphical, as the
  security market line (SML).

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capm theory

  • 1. Risk on Portfolio • It is not the same risk on individual securities. • The risk on the portfolio is reflected in the variability of returns from zero to infinity. • Two measures of risk are average absolute deviation and standard deviation.
  • 2. Capital Asset Pricing Model • CAPM is an framework for determining the equilibrium expected return for risky assets. • Relationship between expected return and systematic risk of individual assets or securities or portfolios. • William F Sharpe developed the CAPM. He emphasized that risk factor in portfolio theory is a combination of two risk , systematic and unsystematic risk.
  • 3. Elements of CAPM 1. Capital Market Line – risk return relationship for efficient portfolios. 2. Security Market Line – Graphic depiction (representation) of CAPM and market price of risk in capital markets. a) Systematic Risk b) Unsystematic Risk 3. Risk Return Relationship 4. Risk Free Rate 5. Risk Premium on market portfolios 6. Beta - - Measure the risk of an individual asset value to market portfolio. Assets- a). Defensive Assets and b). Aggressive Assets.
  • 4. Total Risk = Systematic Risk + STD DEV OF PORTFOLIO RETURN Unsystematic Risk Unsystematic risk Total Risk Systematic risk NUMBER OF SECURITIES IN THE PORTFOLIO
  • 5. • Systematic risk… – It cannot be eliminated through diversification – It can be measured in relation to the risk of a diversified portfolio or the market. – According to CAPM, the Non-Diversifiable risk of an investment or security or asset is assessed in terms of the beta co-efficient.
  • 6. • Unsystematic or Diversifiable Risk – Is that portion of the total risk of an investment that can be eliminated or minimized through diversification. – Eg. Management Capabilities and decisions, Strikes, unique government regulations, availability of raw materials, competition, etc.,
  • 7. Assumptions of CAPM 1. Individuals are risk averse. 2. Individuals seek maximizing the expected return 3. Homogeneous expectations 4. Borrow or Lend freely at risk less rate of interest. 5. Market is perfect 6. Quantity of risky securities in market is given. 7. No transaction cost.
  • 8. CAPM Formula CAPM Rs = Rf + β (Rm – Rf) Rs = Expected Return/ Return required on the investment Rf = Risk-Free Return/ Return that can be earned on a risk- free investment Rm = Average return on all securities β = The securities beta (systematic) risk factor.
  • 9. Rj = Rf + j(RM - Rf) Required Return RM Risk Premium Rf Risk-free Return M = 1.0 Systematic Risk (Beta)
  • 10. Calculation of Beta • Beta measures non-diversifiable risk • It shows how the price of a security responds to market forces. • In effect, the more responsive the price of a security is to changes in the market, the higher will be its beta. • Betas can be positive or negative however, all betas are positive and most betas lie between 0.4 to 1.9.
  • 11. • Investors will find beta helpful in assessing systematic risk and understanding the impact market movements can have on the return expected from a share of stock. • CAPM uses beta to viewed both as a mathematical equation and graphical, as the security market line (SML).

Hinweis der Redaktion

  1. 7. No cost involved in buying and selling of stocks