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RISK AND
RETURN
Muzzamil Shaikh
Topics Covered
 Basic concept of return
 Components of Return
 Expected Return
 Relative Return
 Real Rate of Return
 Types of Risk
 Standard Deviation
 Coefficient if Variation
 Risk and Return of Portfolio
 Capital Asset Pricing Model
Return
 Income received on an investment plus any
change in market price, usually expressed as
a percent of the beginning market price of the
investment
Components of Return
Yields
 The most common form of return for investors
is the periodic cash flows (income) on the
investment, either interest from bonds or
dividends from stocks.
Capital Gain
The appreciation (or depreciation) in the price
of the asset, commonly called the Capital Gain
(Loss).
Total Stock Return
Example
 Ali purchased a stock for Rs. 6,000. At the
end of the year the stock is worth Rs. 7,500.
Ali was paid dividends of Rs. 260. Calculate
the total return received by Ali.
Total Return =
[260 + (7,500 − 6,000) ]
6,000
= 0.293
= 29.3%
Expected Return
 The investor cannot be sure of the amount of
return he/she is going to receive.
 Expected return is the weighted average of
possible returns, with the weights being the
probabilities of occurrence.
 Formula
E( R) = X * P(X)
Where Xwill represent the various values of return,
P(X)shows the probability of various return
Example
 Suppose, if you knew a given investment had
a 50% chance of earning return of Rs.10, a
25% chance of earning a return of Rs. 20 and
there is a 25% chance of bearing a loss of
Rs.10. What is your expected return?
Relative Return
 The relative return is the difference between
absolute return achieved by the investment
and the return achieved by the benchmark.
Example
 The return on a stock is 8% over a given
period of time. BUT, If the return on the
designated benchmark is 20% over the same
period of time, then the relative return on that
stock is in fact -12%.
Real Rate of Return
 Also called Inflation adjusted return
 Inflation adjusted return reveals the return on
an investment after removing the effects of
inflation.
Example
 Return on Investment R = 7%, Inflation rate IR
= 3%, Inflation Adjusted Return =?
 Solution:
Inflation Adjusted Return = [(1+ R)/(1+IR)] – 1
= [(1+0.07)/(1+0.03)]-1
= 1.03883 – 1
= 0.0388
= 4% approximately
Inflation Adjusted Return = R – IR = 7% - 3 % =
4 %
Risk and its Types
 Risk is the variability between the expected
and actual returns.
o Interest Rate Risk
o Market Risk
o Financial Risk
o Liquidity Risk
o Foreign Exchange Risk
o Country Risk
Interest Rate Risk
It is the risk that an investment’s value will
change as a result of change in interest rates.
This risk affects the value of bonds more directly
than stocks.
Market Risk
Market Risk refers to the variability in returns
resulting from fluctuations in the overall market
conditions
Financial Risk
It is the risk associated with the use of debt
financing. The larger proportion of assets
financed by debt, the larger variability in returns,
other things remaining equal.
Liquidity Risk
An investment that can be bought or sold quickly
without significant price concession is
considered liquid. The more uncertainty about
time element and the price concession, the
greater the liquidity risk.
Foreign Exchange Risk
When investing in foreign countries one must consider
the fact that currency exchange rates can change the
price of the asset as well. This risk applies to all
financial instruments that are in a currency other than
your domestic currency.
Country Risk
This is also termed political risk, because it is the
risk of investing funds in another country whereby a
major change in the political or economic
environment could occur. This could devalue your
investment and reduce its overall return. This type of
risk is usually restricted to emerging or developing
countries that do not have stable economic or
political arenas.
Standard Deviation
 Standard deviation is a tool for assessing risk
associated with a particular investment.
 Standard deviation measures the dispersion or
variability around a mean/expected value.
 Formula:
 =  X2 ∗ P(X) – [ X∗P(X)]2
Coefficient of Variation
 CV is a measure of relative risk.
 It tells us the risk associated with each unit of
money invested.
 Formula:
CV=  (x) / E(X)
Portfolio
 A grouping of financial assets such as
stocks, bonds, etc
 A good portfolio consists of financial
assets that are not strongly positively
correlated
 A portfolio should contain some high-risk
and some low-risk securities
Portfolio
 A diversified portfolio should consist of securities
that are not perfectly positively correlated.
 For an individual, a portfolio of almost 7
different securities is considered good.
 For a company, a portfolio containing 20-25
securities is suitable.
Systematic Risk
 Systematic risk is the one that affects the
overall market such as change in the
country's economic position, tax reforms or a
change in the world energy
Unsystematic Risk
 The risk which is independent of economic,
political and all other such factors. It is
associated with a particular company or
industry.
Capital Asset Pricing Model
 This model states the relationship between
expected return, the systematic return and the
valuation of securities.
 R=Rf+(Rm–Rf)
• R = Required Rate of Return of Security
• Rf = Risk free rate
• Rm = Expected Market Return
•  = Beta of the security
Risk and Return

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Risk and Return

  • 2. Topics Covered  Basic concept of return  Components of Return  Expected Return  Relative Return  Real Rate of Return  Types of Risk  Standard Deviation  Coefficient if Variation  Risk and Return of Portfolio  Capital Asset Pricing Model
  • 3. Return  Income received on an investment plus any change in market price, usually expressed as a percent of the beginning market price of the investment
  • 4. Components of Return Yields  The most common form of return for investors is the periodic cash flows (income) on the investment, either interest from bonds or dividends from stocks. Capital Gain The appreciation (or depreciation) in the price of the asset, commonly called the Capital Gain (Loss).
  • 6. Example  Ali purchased a stock for Rs. 6,000. At the end of the year the stock is worth Rs. 7,500. Ali was paid dividends of Rs. 260. Calculate the total return received by Ali. Total Return = [260 + (7,500 − 6,000) ] 6,000 = 0.293 = 29.3%
  • 7. Expected Return  The investor cannot be sure of the amount of return he/she is going to receive.  Expected return is the weighted average of possible returns, with the weights being the probabilities of occurrence.  Formula E( R) = X * P(X) Where Xwill represent the various values of return, P(X)shows the probability of various return
  • 8. Example  Suppose, if you knew a given investment had a 50% chance of earning return of Rs.10, a 25% chance of earning a return of Rs. 20 and there is a 25% chance of bearing a loss of Rs.10. What is your expected return?
  • 9. Relative Return  The relative return is the difference between absolute return achieved by the investment and the return achieved by the benchmark. Example  The return on a stock is 8% over a given period of time. BUT, If the return on the designated benchmark is 20% over the same period of time, then the relative return on that stock is in fact -12%.
  • 10. Real Rate of Return  Also called Inflation adjusted return  Inflation adjusted return reveals the return on an investment after removing the effects of inflation.
  • 11. Example  Return on Investment R = 7%, Inflation rate IR = 3%, Inflation Adjusted Return =?  Solution: Inflation Adjusted Return = [(1+ R)/(1+IR)] – 1 = [(1+0.07)/(1+0.03)]-1 = 1.03883 – 1 = 0.0388 = 4% approximately Inflation Adjusted Return = R – IR = 7% - 3 % = 4 %
  • 12. Risk and its Types  Risk is the variability between the expected and actual returns. o Interest Rate Risk o Market Risk o Financial Risk o Liquidity Risk o Foreign Exchange Risk o Country Risk
  • 13. Interest Rate Risk It is the risk that an investment’s value will change as a result of change in interest rates. This risk affects the value of bonds more directly than stocks. Market Risk Market Risk refers to the variability in returns resulting from fluctuations in the overall market conditions
  • 14. Financial Risk It is the risk associated with the use of debt financing. The larger proportion of assets financed by debt, the larger variability in returns, other things remaining equal. Liquidity Risk An investment that can be bought or sold quickly without significant price concession is considered liquid. The more uncertainty about time element and the price concession, the greater the liquidity risk.
  • 15. Foreign Exchange Risk When investing in foreign countries one must consider the fact that currency exchange rates can change the price of the asset as well. This risk applies to all financial instruments that are in a currency other than your domestic currency. Country Risk This is also termed political risk, because it is the risk of investing funds in another country whereby a major change in the political or economic environment could occur. This could devalue your investment and reduce its overall return. This type of risk is usually restricted to emerging or developing countries that do not have stable economic or political arenas.
  • 16. Standard Deviation  Standard deviation is a tool for assessing risk associated with a particular investment.  Standard deviation measures the dispersion or variability around a mean/expected value.  Formula:  =  X2 ∗ P(X) – [ X∗P(X)]2
  • 17. Coefficient of Variation  CV is a measure of relative risk.  It tells us the risk associated with each unit of money invested.  Formula: CV=  (x) / E(X)
  • 18. Portfolio  A grouping of financial assets such as stocks, bonds, etc  A good portfolio consists of financial assets that are not strongly positively correlated  A portfolio should contain some high-risk and some low-risk securities
  • 19. Portfolio  A diversified portfolio should consist of securities that are not perfectly positively correlated.  For an individual, a portfolio of almost 7 different securities is considered good.  For a company, a portfolio containing 20-25 securities is suitable.
  • 20. Systematic Risk  Systematic risk is the one that affects the overall market such as change in the country's economic position, tax reforms or a change in the world energy Unsystematic Risk  The risk which is independent of economic, political and all other such factors. It is associated with a particular company or industry.
  • 21. Capital Asset Pricing Model  This model states the relationship between expected return, the systematic return and the valuation of securities.  R=Rf+(Rm–Rf) • R = Required Rate of Return of Security • Rf = Risk free rate • Rm = Expected Market Return •  = Beta of the security