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Risk and Return Variability or uncertainty Of returns Gains received by  Way of income + increase in  Market value Presented By: Monu Jain CH Institute Of Management & Communication
REALIZED RETURN & EXPECTED RETURN Historic or realized return as in case of a bank deposit at a fixed rate of interest. EXPECTED RETURN Have to be sufficiently high to offset the risk or uncertainty. Invest in Equity or not
MEANING OF CASH Periodic cash receipts by way of interest, Dividends. Eg. Yield on a 10% bond of  Rs. 900 is 11.11% The appreciation/depreciation in the price of the asset. i.e. difference between purchase & sale price of assets. Components Of Return
Objectives : How to calculate  Return ? What are its components How do we  Measure  risk What is  Portfolio ? What is  Capital asset  Pricing model ? What is risks ? What are its Components ?
Therefore RETURNS are measured as - ,[object Object],Regular cash flow Capital appreciation In value of security Initial capital Invested.
How to measure return? Dividend regular cash flow Change in the value of stock over t -time Value of stock in  beginning
PROBABILITIES & RULES ,[object Object],[object Object],[object Object],[object Object],[object Object]
Let us take the case of HLL from 1991-1998 71.29 21.04 20.23 15.90 92.33 36.12 ? ? 33 249.60 1998 ? ? 25.50 207.60 1997 49.52 20.03 29.49 18.75 121.20 1996 22.71 16.95 5.76 15.00 93.60 1995 16.52 13.91 2.61 12.00 88.50 1994 70.54 15.14 55.41 8.4 86.25 1993 149.70 25.46 124.24 6.3 55.50 1992 - 24.75 1991 Rate of return (%) Dividend Yield (%) Capital gain Pt -P t-1  / P t-1 Dividend per share Share price (Pt) Year
HLL’s Annual Rates of Return
Expected returns ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Risk components Uncertainty of return is Market risk Liquidity risk Interest rate risk inverse Inflation  risk Business risk Financial risk
Calculation of risk ,[object Object],[object Object],[object Object],[object Object]
[object Object],Probability distribution method – graphical method PROBABILITY RETURN Since the dispersion is near the y axis and not spread over the risk in this company is very low. -30% 0.1 -10% 0.2 10% 0.4 30% 0.2 50% 0.1 Rate of return Probability
[object Object],Probability distribution method – graphical method PROBABILITY RETURN Since the dispersion is far from the y axis and spread over the risk in this company is very high -50% 0.1 -30% 0.2 10% 0.4 50% 0.2 70% 0.1 Rate of return Probability
Range  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Variance  ,[object Object]
Standard Deviation ,[object Object]
Sources Of Risk ,[object Object],[object Object],[object Object],[object Object]
Sources Of Risk ,[object Object],[object Object],[object Object],[object Object]
Calculate risk in Alpha ltd. - =√ 480 = 21.9% 480 Total 80 0.2 400 20 30% 2 160 0.1 1600 -40 -30% 5 80 0.2 400 -20 -10% 4 0 0.4 0 0 10% 3 160 0.1 1600 40 50% 1 P i Return (ki%) Outcomes
How to reduce risk ? ,[object Object],[object Object]
Portfolio ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Group of asset so that the total risk reduces
I have to invest in two companies ,[object Object],[object Object],[object Object],[object Object]
What will be the return and risk if I invest 50:50 in company A and company B ,[object Object],[object Object],[object Object],[object Object]
Formula to calculate risk in portfolio is – standard deviation of the portfolio Standard deviation of The security Relationship of The two securities
Total Risk can be reduced through diversification ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Risk can be reduced through diversification ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Risk can be reduced through diversification ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
RISK ,[object Object],[object Object],Changes in government policies – monetary policy, fiscal policy, foreign policy, corporate taxes War Earthquake, floods, rains, tsunamis etc. Strikes Increase in competition Technical breakdown or obsolescence Inadequate raw material Change in management. Loss of a big contract etc.
Hence though initially the risk gets diversified, due to some systematic or market risk the diversification cannot completely negate the risk
Number of securities in portfolio Risk Risk Reduction through diversification. Non – diversifiable Risk Diversifiable Risk The effect  reduces with  No change in market risk Increase in the portfolio size
Similarly if we calculate Return of Alpha– 12% and Beta – 18% and std. deviation – Alpha -16% and Beta – 24%
If we plot the data on a graph Efficient frontier Inefficient frontier Cor = - 1.0 Cor  = -  0.25 Cor = + 1.0 Cor = + 0.50 Cor = - 1.0 alfa beta
We will now try to analyze more of diversifiable (market risk) and non- diversifiable risk ,[object Object],[object Object]
Calculation of risk of a stock/ portfolio with respect to market ,[object Object],[object Object],Return on  Security J Relation between the market security and the security k Return above market at all times
Calculation of beta  ,[object Object]
Capital Asset Pricing Model ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Capital Asset Pricing Model
Security Market Line ,[object Object],  = (covar j,m /  2 m )  SLM E(R j ) R m R f 1.0 0
Defensive securities EXPECTED /  REQUIRED RATE OF RETURN ON Y AXIS RISK PREMIUM FOR UNCERTAINTY Aggressive securities Beta  1.0 Km Rf SML
Defensive securities EXPECTED /  REQUIRED RATE OF RETURN ON Y AXIS RISK PREMIUM FOR UNCERTAINTY Aggressive securities Beta  1.0 Km Rf SML X Y
 
Types of investors – based on risk ,[object Object],[object Object],[object Object]

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Monu Risk Return

  • 1. Risk and Return Variability or uncertainty Of returns Gains received by Way of income + increase in Market value Presented By: Monu Jain CH Institute Of Management & Communication
  • 2. REALIZED RETURN & EXPECTED RETURN Historic or realized return as in case of a bank deposit at a fixed rate of interest. EXPECTED RETURN Have to be sufficiently high to offset the risk or uncertainty. Invest in Equity or not
  • 3. MEANING OF CASH Periodic cash receipts by way of interest, Dividends. Eg. Yield on a 10% bond of Rs. 900 is 11.11% The appreciation/depreciation in the price of the asset. i.e. difference between purchase & sale price of assets. Components Of Return
  • 4. Objectives : How to calculate Return ? What are its components How do we Measure risk What is Portfolio ? What is Capital asset Pricing model ? What is risks ? What are its Components ?
  • 5.
  • 6. How to measure return? Dividend regular cash flow Change in the value of stock over t -time Value of stock in beginning
  • 7.
  • 8. Let us take the case of HLL from 1991-1998 71.29 21.04 20.23 15.90 92.33 36.12 ? ? 33 249.60 1998 ? ? 25.50 207.60 1997 49.52 20.03 29.49 18.75 121.20 1996 22.71 16.95 5.76 15.00 93.60 1995 16.52 13.91 2.61 12.00 88.50 1994 70.54 15.14 55.41 8.4 86.25 1993 149.70 25.46 124.24 6.3 55.50 1992 - 24.75 1991 Rate of return (%) Dividend Yield (%) Capital gain Pt -P t-1 / P t-1 Dividend per share Share price (Pt) Year
  • 10.
  • 11. Risk components Uncertainty of return is Market risk Liquidity risk Interest rate risk inverse Inflation risk Business risk Financial risk
  • 12.
  • 13.
  • 14.
  • 15.
  • 16.
  • 17.
  • 18.
  • 19.
  • 20. Calculate risk in Alpha ltd. - =√ 480 = 21.9% 480 Total 80 0.2 400 20 30% 2 160 0.1 1600 -40 -30% 5 80 0.2 400 -20 -10% 4 0 0.4 0 0 10% 3 160 0.1 1600 40 50% 1 P i Return (ki%) Outcomes
  • 21.
  • 22.
  • 23.
  • 24.
  • 25. Formula to calculate risk in portfolio is – standard deviation of the portfolio Standard deviation of The security Relationship of The two securities
  • 26.
  • 27.
  • 28.
  • 29.
  • 30. Hence though initially the risk gets diversified, due to some systematic or market risk the diversification cannot completely negate the risk
  • 31. Number of securities in portfolio Risk Risk Reduction through diversification. Non – diversifiable Risk Diversifiable Risk The effect reduces with No change in market risk Increase in the portfolio size
  • 32. Similarly if we calculate Return of Alpha– 12% and Beta – 18% and std. deviation – Alpha -16% and Beta – 24%
  • 33. If we plot the data on a graph Efficient frontier Inefficient frontier Cor = - 1.0 Cor = - 0.25 Cor = + 1.0 Cor = + 0.50 Cor = - 1.0 alfa beta
  • 34.
  • 35.
  • 36.
  • 37.
  • 39.
  • 40. Defensive securities EXPECTED / REQUIRED RATE OF RETURN ON Y AXIS RISK PREMIUM FOR UNCERTAINTY Aggressive securities Beta 1.0 Km Rf SML
  • 41. Defensive securities EXPECTED / REQUIRED RATE OF RETURN ON Y AXIS RISK PREMIUM FOR UNCERTAINTY Aggressive securities Beta 1.0 Km Rf SML X Y
  • 42.  
  • 43.