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Portfolio Management
• Portfolio selection
• Markowitz model
MEANING - PORTFOLIO
• It is a collection or combination of financial
assets (shares, debentures, government
securities)
• It can also be called collection of Physical
Assets (gold, silver, real estate etc).
• Here, it is used for” investment purpose” and
not for consumption.
PORTFOLIO SELECTION
• The objective of every rational investor is to maximize
his returns and minimize the risk.
• Diversification is the method adopted for reducing risk.
• It essentially results in the construction of portfolios.
• The proper goal of portfolio construction would be to
generate a portfolio that provides the highest return and
the lowest risk.
• Such a portfolio would be known as the optimal
portfolio.
• The process of finding the optimal portfolio is
described as portfolio selection.
MARKOWITZ MODEL
• Modern portfolio theory or portfolio theory
was introduced by harry markowowiz with his
paper portfolio selection .
• The markowitz model describe a set of
rigorous statistical procedures used to select
the optimal portfolio for wealth maximizing /
risk-averse investors.
• The model is describing under the framework
of a risk-return tradeoff graph.
MARKOWITZ MEAN VARIANCE MODEL
ASSUMPTION
• The return on investment adequately summarizes
the outcome of the investment
• All investors are risk-averse.
• Investors are assumed to be rational
• Return could be any suitable measure of monetary
inflow
• Investors base their investment decision on two
criteria expected return and variance of return
DIAGRAM
EFFICIENT SET OF PORTFOLIO
• It is the portfolio that offers the highest excepted
return for a given level of risk or one with the
lowest level of risk for a excepted return and the line
that connect all these efficient portfolios is efficient
frontier.
GRAPH
SETTING UP OF PORTFOLIO
• The portfolio manager will determine how to
structure the portfolio based on the restriction
and guidelines in the portfolio prospectus.
Portfolio prospectus includes;
• Fee
• Investment objective
• Limitation
• Names of the portfolio manager
DIVERSIFICATION
Why diversify?
• Higher more consistent return
• Lower risk
• A diversified portfolio will hold a number of
securities
• Diversification is not having all your money in
one basket
• Losses in some securities should be offset by
gains in others
How to get the best diversification?
• Spread your portfolio among multiple
investment vehicles such as cash,stock,mutual
fund.
• Vary the risk in your securities
• Vary your securities by industry
Diversification of risk
TWO TYPES OF RISK;
1. Systematic risk
2. Unsystematic risk
SELECTION OF OPTIMUM PORTFOLIO
• Step 1; use the markowitz portfolio selection
model to identify optimal combinations
• Step 2; consider riskless borrowing and
lending possibilities
• Step 3; choose the final portfolio based on
your preference for return relatives to risk
Portfolio selection, markowitz model

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Portfolio selection, markowitz model

  • 1. Portfolio Management • Portfolio selection • Markowitz model
  • 2. MEANING - PORTFOLIO • It is a collection or combination of financial assets (shares, debentures, government securities) • It can also be called collection of Physical Assets (gold, silver, real estate etc). • Here, it is used for” investment purpose” and not for consumption.
  • 3. PORTFOLIO SELECTION • The objective of every rational investor is to maximize his returns and minimize the risk. • Diversification is the method adopted for reducing risk. • It essentially results in the construction of portfolios. • The proper goal of portfolio construction would be to generate a portfolio that provides the highest return and the lowest risk. • Such a portfolio would be known as the optimal portfolio. • The process of finding the optimal portfolio is described as portfolio selection.
  • 4. MARKOWITZ MODEL • Modern portfolio theory or portfolio theory was introduced by harry markowowiz with his paper portfolio selection . • The markowitz model describe a set of rigorous statistical procedures used to select the optimal portfolio for wealth maximizing / risk-averse investors. • The model is describing under the framework of a risk-return tradeoff graph.
  • 5. MARKOWITZ MEAN VARIANCE MODEL ASSUMPTION • The return on investment adequately summarizes the outcome of the investment • All investors are risk-averse. • Investors are assumed to be rational • Return could be any suitable measure of monetary inflow • Investors base their investment decision on two criteria expected return and variance of return
  • 7. EFFICIENT SET OF PORTFOLIO • It is the portfolio that offers the highest excepted return for a given level of risk or one with the lowest level of risk for a excepted return and the line that connect all these efficient portfolios is efficient frontier.
  • 9. SETTING UP OF PORTFOLIO • The portfolio manager will determine how to structure the portfolio based on the restriction and guidelines in the portfolio prospectus. Portfolio prospectus includes; • Fee • Investment objective • Limitation • Names of the portfolio manager
  • 10. DIVERSIFICATION Why diversify? • Higher more consistent return • Lower risk • A diversified portfolio will hold a number of securities • Diversification is not having all your money in one basket • Losses in some securities should be offset by gains in others
  • 11. How to get the best diversification? • Spread your portfolio among multiple investment vehicles such as cash,stock,mutual fund. • Vary the risk in your securities • Vary your securities by industry
  • 12. Diversification of risk TWO TYPES OF RISK; 1. Systematic risk 2. Unsystematic risk
  • 13. SELECTION OF OPTIMUM PORTFOLIO • Step 1; use the markowitz portfolio selection model to identify optimal combinations • Step 2; consider riskless borrowing and lending possibilities • Step 3; choose the final portfolio based on your preference for return relatives to risk