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Portfolio Markowitz Model
• Harry Markowitz
• Article in Journal of Finance in March 1952
• Importance of Correlation among the different stocks’ returns
• Also Showed level of expected return in group of securities,
one security dominates the other
• Knowledge of the correlation coefficient between all possible
securities combination is required
• “ Markowitz algorithms “ to minimise the portfolio variance
Simple Diversification
• Portfolio risk reduced by the simple diversification
• Assets may Vary from stocks to different types of bonds
• Diversification reduces the unsystematic risk or unique risk
Problems of vast Diversification
• Purchase of poor performers
• Information inadequacy
• High research cost
• High transaction cost
The Markowitz Model
Holding 2 Stocks is less risky than holding one stock
Example : Textile
Building optimal portfolio is very difficult
Markowitz Provides an answer for this
Assumptions
• The Individual Investor estimates risk on the basis
of Variability of returns ie. the variance of returns
• Investor’s decision is solely based on the expected
return and variance of returns only
• For given level of risk, investor prefers higher
returns to lower return likewise, for a given level of
return investor prefers lower risk than higher risk
The Concept
• Markowitz had given up the single stock portfolio and
introduced diversification
• Single security - preferable if expectation of highest return tend
to be real
• In the world of uncertainty, most of the risk averse investors
would like to join Markowitz rather than keeping a single stock
because diversification reduced the risk
Thank You

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Portfolio Markowitz Model

  • 1. Portfolio Markowitz Model • Harry Markowitz • Article in Journal of Finance in March 1952 • Importance of Correlation among the different stocks’ returns • Also Showed level of expected return in group of securities, one security dominates the other • Knowledge of the correlation coefficient between all possible securities combination is required • “ Markowitz algorithms “ to minimise the portfolio variance
  • 2. Simple Diversification • Portfolio risk reduced by the simple diversification • Assets may Vary from stocks to different types of bonds • Diversification reduces the unsystematic risk or unique risk
  • 3. Problems of vast Diversification • Purchase of poor performers • Information inadequacy • High research cost • High transaction cost
  • 4. The Markowitz Model Holding 2 Stocks is less risky than holding one stock Example : Textile Building optimal portfolio is very difficult Markowitz Provides an answer for this
  • 5. Assumptions • The Individual Investor estimates risk on the basis of Variability of returns ie. the variance of returns • Investor’s decision is solely based on the expected return and variance of returns only • For given level of risk, investor prefers higher returns to lower return likewise, for a given level of return investor prefers lower risk than higher risk
  • 6. The Concept • Markowitz had given up the single stock portfolio and introduced diversification • Single security - preferable if expectation of highest return tend to be real • In the world of uncertainty, most of the risk averse investors would like to join Markowitz rather than keeping a single stock because diversification reduced the risk
  • 7.