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Risk
Management
Investors
Alaleh Mani
2013
Some Definition
1. HPR: Holding Period Return
(Stock Value 2- Stock Value 1 + Dividend )/ stock value 1
HPR is uncertain  risk is aroused
2. Perfect Market:
1. Information
2. No transaction cost
3. Not levied taxes
4. No buying and selling restriction
5. Transaction has no effect on prices
Normal Probability Distribution
If return follows a normal distribution, the risk is the
expected return, variance, and standard deviation.
Standardized return= (mean return-target return)
standard deviation of returns
Covariance/Correlation effect
 Corr AB=
covariance(R
A
,R
B
)
σAσB
Markowits: Var portfolio< weighted average of
individual variance
Markowitz Efficient Frontier
 Risk return trade off
Markowitz Efficient Frontier with risk free rate
 P= point of tangency =market portfolio
 X=CML
 R1 = risk free rate
SML
 diversifiable risk= that part of the risk that has no
correlation with market volatility
 Systematic risk= positive covariance of a risky
asset with market
 SML is the relationship between risk and
expected return
E(Ri) = Rf + βi [ E(Rm) - Rf ]
Investment risk managment-presentation

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  • 2. Some Definition 1. HPR: Holding Period Return (Stock Value 2- Stock Value 1 + Dividend )/ stock value 1 HPR is uncertain  risk is aroused 2. Perfect Market: 1. Information 2. No transaction cost 3. Not levied taxes 4. No buying and selling restriction 5. Transaction has no effect on prices
  • 3. Normal Probability Distribution If return follows a normal distribution, the risk is the expected return, variance, and standard deviation. Standardized return= (mean return-target return) standard deviation of returns
  • 4. Covariance/Correlation effect  Corr AB= covariance(R A ,R B ) σAσB Markowits: Var portfolio< weighted average of individual variance
  • 5. Markowitz Efficient Frontier  Risk return trade off
  • 6. Markowitz Efficient Frontier with risk free rate  P= point of tangency =market portfolio  X=CML  R1 = risk free rate
  • 7. SML  diversifiable risk= that part of the risk that has no correlation with market volatility  Systematic risk= positive covariance of a risky asset with market  SML is the relationship between risk and expected return E(Ri) = Rf + βi [ E(Rm) - Rf ]