gives an overview of markowitz portfolio theory.

1. MARKOWITZ PORTFOLIO THEORY
(MPT)

2. SELECTION OF OPTIMAL
PORTFOLIOS
THREE STEPS REQUIRED
Determination of Feasible Set of Portfolio
Efficient set of portfolios
Selection of optimal portfolio

3. Feasible Set of Portfolio
Different set of portfolio possible by combining
different securities in different proportion
available in the market.

5. Efficient set of portfolios:
Two criteria:

6. Efficient set of portfolios
Given two portfolios with the same expected return,
the investor would prefer the one with the lower risk.
Given two portfolios with the same risk, the investor
would prefer the one with the higher expected return.

8. Feature of Efficient Portfolio
Upward sloping
Concave upward which engulfed under it the entire portfolio which are
possible
It divides the entire region on the graph into 2 parts
On the right side below the curve it is possible portfolio
On the left side above the curve it is impossible portfolio.

9. Feature of Efficient Portfolio
All the portfolio satisfy 2 criterions will fall on
this curve.

10. Selection of optimal portfolio
The particular portfolio that an individual
investor will select from the efficient frontier will
depend on that investor‘s risk return preference.

11. Investor’s Indifference curve
/utility curves

13. Investor’s Indifference Curve
• Upward Sloping
• Each of the different points on a particular indifference
curve shows a different combination of risk and return,
which provide the same satisfaction to the investors.
• Each curve to the left represents higher utility or
satisfaction
• The don’t intersect.

14. Optimal Portfolio: Tangency
Portfolio
The optimal portfolio for an investor would be the
one at the point of tangency between the efficient
frontier and the risk-return utility or indifference
curve.

16. Limitations of Markowitz model
• Large number of input data required for calculations:
• Complexity of computations required