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Securities Analysis
          &
Portfolio Management
       Presented By
     Md. Ashraful Islam
      Director, SEC
Contents
Part-A: Investment fundamentals
  Understanding investment
  Some definitions
  Sources and types of risk
  Risk-return trade-off in different types of securities
  Important considerations in investment process
Part-B: Securities Analysis
  Securities analysis concept and types
  Framework of fundamental securities analysis
  Intrinsic valuation & relative valuation
Part-C: Portfolio Management
  Portfolio concept
  Modern Portfolio Theory: Markowitz Portfolio Theory
  Determination of optimum portfolio
  Single-Index model, Multi-Index model
  Capital Market Theory
  Portfolio performance measurement
Part-A
Investment Fundamentals
Understanding investment
Investment is commitment of fund to one or more assets that
is held over some future time period.
  Investing may be very conservative as well as aggressively
  speculative.
  Whatever be the perspective, investment is important to
  improve future welfare.
  Funds to be invested may come from assets already owned,
  borrowed money, savings or foregone consumptions.
  By forgoing consumption today and investing the savings,
  investors expect to enhance their future consumption
  possibilities by increasing their wealth.
  Investment can be made to intangible assets like marketable
  securities or to real assets like gold, real estate etc. More
  generally it refers to investment in financial assets.
Investments refers to the study of the investment process,
generally in financial assets like marketable securities to
maximize investor’s wealth, which is the sum of investor’s
current income and present value of future income. It has
two primary functions: analysis and management.




Whether Investments is Arts or Science?
Some definitions:
Financial assets: These are pieces of paper (or
electronic) evidencing claim on some issuer.
Marketable securities: Financial assets that are easily and
cheaply traded in organized markets.
Portfolio: The securities held by an investor taken as a
unit.
Expected return: Investors invest with the hope to earn
a return by holding the investment over a certain time
period.
Realized return: The rate of return that is earned after
maturity of investment period.
Risk: The chance that expected return may not be
achieved in reality.
Risk-Free Rate of Return: A return on riskless asset,
often proxied by the rate of return on treasury bills.
Risk–Adverse Investor: An investor who will not assume a
given level of risk unless there is an expectation of
adequate compensation for having done so.
Risk Premium: The additional return beyond risk fee rate
that is required for making investment decision in risky
assets.
Definitions conti….
Passive Investment Strategy: A strategy that determines
initial investment proportions and assets and make few
changes over time.
Active Investment Strategy: A strategy that seeks to
change investment proportions and assets in the belief
that profits can be made.
Efficient Market Hypothesis(EMH): The proposition that
security markets are efficient, in the sense that price of
securities reflect their economic value based on price
sensitive information.
   Weak-form EMH
   Semi-strong EMH
   Strong EMH
Definitions Conti….
Face value or Par value or Stated value: The value at which
corporation issue its shares in case of common share or
the redemption value paid at maturity in case of bond.
New stock is usually sold at more than par value, with
the difference being recorded on balance sheet as
“capital in excess of par value”.
Book Value: The accounting value of equity as shown in
the balance sheet. It is the sum of common stock
outstanding, capital in excess of par value, and retained
earnings. Dividing this sum or total book value by the
number of common shares outstanding produces the
book value par share. Although it plays an important
role in investment decision, market value par share is
the critical item of interest to investors.
Sources and Types of Risk
Sources of Risk:
     Interest rate risk
     Market risk
     Inflation risk
     Business risk
     Financial risk
     Liquidity risk
     Exchange rate risk
     Country risk
  Broad Types:
     Systematic/Market Risk
     Non-systematic/Non-market/Company-specific Risk
Risk-return trade-off in different types of securities
 Various types of securities:
   Equity securities may be
            -Ordinary share or Common share, gives real ownership because holder bears
            ultimate risk and enjoy return and have voting rights
            -Preferential share, enjoy fixed dividend, avoids risk, do not have voting right.
      Debt securities may be
            -Bond, a secured debt instrument, payable on first on liquidity
            -Debenture, an unsecured debt instrument,
      Derivative securities are those that derive their value in whole or in
      part by having a claim on some underlying value. Options and
      futures are derivative securities
                                            Options
                   Corporate bonds
 Expected return                                        Futures


                                        Common stocks
             RF
                                     Risk
Factors Affecting Security Prices
 Stock splits
 Dividend announcements
 Initial public offerings
 Reactions to macro and micro economic news
 Demand/supply of securities in the market
 Marketability of securities
 Dividend payments
 Many others
Direct investment and indirect
          investment
In Direct Investing, investors buy and sell
securities themselves, typically through
brokerage accounts. Active investors may
prefers this type of investing.
In Indirect Investing, investors buy and sell
shares of investment companies, which in turn
hold portfolios of securities. Individual who
are not active may prefer this type of investing.
Important considerations in investment
decision process:
  Investment decision should be considered based on economy,
  industry consideration and company fundamentals including
  management & financial performance
  Investment decision process can be lengthy and involved
  The great unknown may exist whatever be the individual actions
  Global investment arena
  New economy vrs old economy stocks
  The rise of the internet- a true revolution for investment
  information.
  Institutional investors vrs individual investor
  Risk-return preference
  Traditionally, investors have analyzed and managed securities using a
  broad two-step process:
      security analysis and
     portfolio management
Part-B
Securities Analysis
Security Analysis Concept & Types
Security analysis is the first part of investment decision process
involving the valuation and analysis of individual securities. Two basic
approaches of security analysis are fundamental analysis and technical
analysis.
   Fundament analysis is the study of stocks value using basic
   financial variables in order to order to determine company’s intrinsic
   value. The variables are sales, profit margin, depreciation, tax rate,
   sources of financing, asset utilization and other factors. Additional
   analysis could involve the company’s competitive position in the
   industry, labor relations, technological changes, management, foreign
   competition, and so on.
   Technical analysis is the search for identifiable and recurring stock
   price patterns.
   Behavioral Finance Implications: Investors are aware of market
   efficiency but sometimes overlook the issue of psychology in
   financial markets- that is, the role that emotions play. Particularly,
   in short turn, inventors’ emotions affect stock prices, and markets
Framework for Fundamental Analysis:
 Bottom-up approach, where investors focus directly on a company’s
 basic. Analysis of such information as the company’s products, its
 competitive position and its financial status leads to an estimate of the
 company's earnings potential and ultimately its value in the market. The
 emphasis in this approach is on finding companies with good
 growth prospect, and making accurate earnings estimates. Thus
 bottom-up fundamental research is broken in two categories: growth
 investing and value investing
    Growth Stock:
 It carry investor expectation of above average future growth in earnings
 and above average valuations as a result of high price/earnings ratios.
 Investors expect these stocks to perform well in future and they are
 willing to pay high multiples for this expected growth.
    Value Stock: Features cheap assets and strong balance sheets.

 In many cases, bottom-up investing does not attempt to make a clear distinction
 between growth and value stocks. Top-down approach is better approach.
Top-down Approach
 In this approach
   investors begin with economy/market considering
   interest rates and inflation to find out favorable time to
   invest in common stock
   then consider future industry/sector prospect to
   determine which industry/sector to invest in
   Finally promising individual companies of interest in
   the prospective sectors are analyzed for investment
   decision.
Fundamental Analysis at
Company Level:
 There are two basic approaches for valuation of
 common stocks using fundamental analysis,
 which are:
   Intrinsic Valuation: Discounted cash flow(DCF)
   technique. One form of DCF is Dividend Discount
   Model(DDM), that uses present value method by
   discounting back all future dividends
   Relative Valuation Model, uses P/E ratio, P/B
   ratio and P/S ratio
Intrinsic Valuation, DDM:
   In this method, an investor or analyst carefully studies the future
   prospects for a company and estimates the likely dividends to be paid,
   which are the only payments an investor receives directly from a
   company. In addition, the analyst estimates an appropriate required rate
   of return on the risk foreseen in the dividends. Then calculate the
   estimated discounted present value of all future dividends as below:
   PV of stock, Vo= D1/(1+k) +D2/(1+k)2+ D3/(1+k)3+…..
                        =D1/(k – g) …… (after simplification)
where, D1, D2, D3..are future 1st, 2nd , 3rd years dividends, k is required rate of return
    Now,
    If Vo > Po, the stock is undervalued and should be purchased
    If Vo < Po, the stock is overvalued and should be not be purchased
    If Vo = Po, the stock is at correctly priced
   Alternatively, in practice, investors can use DDM to select stocks. The expected
   rate of return, k, for constant growth stock can be written as
   k= D1/Po + g, where D1/Po is dividend yield and the 2nd part g is price change
   component
Relative Valuation
 Relative valuation technique uses comparisons to
 determine a stock’s value. By calculating measures such
 as P/E ratio and making comparisons to some
 benchmark(s) such as the market, an industry or other
 stocks history over time, analyst can avoid having to
 estimate g and k parameters of DDM.

 In relative valuation, investors use several different
 ratios such as P/E, P/B, P/S etc in an attempt to
 assess value of a stock through comparison with
 benchmark.
Earning Multiplier or P/E Ratio
Model:
 This model is the best-known and most widely used
 model for stock valuation. Analysts are more
 comfortable taking about earning per share (EPS) and
 P/E ratios, and this is how their reports are worded.

 P/E ratio simply means the multiples of earnings
 at which the stock is selling. For example, if a stock’s
 most recent 12 months earning is Tk 5 and its is selling
 now at Tk 150, then it is said that the stock is selling for
 a multiple of 30.
Determinants of P/E Ratio:
     For a constant growth model of DDM,
     Price of a stock, P=D1/(k - g)
     Or,     P/E=(D1/E)/(k - g)


This indicates that P/E depends on:
1.   Expected dividend payout ratio, D1/E
2.   Required rate of return, k, which is to be estimated
3.   Expected growth rate of dividends

Thus following relationship should hold, being other things equal:
1.  The higher the expected payout ratio, the higher the P/E ratio
2.  The higher the expected growth rate, the higher the P/E ratio
3.  The higher the required rate of return, the lower the P/E ratio
Valuation Using P/E Ratio:
To use the earnings multiplier model for valuation of a stock, investors
must look ahead because valuation is always forward looking. They can
do this by making a forecast of next year’s earnings per share E1,
assuming a constant growth model, as
   Next years earning per share, E1=Eo(1+g)
   where, g=ROE X (1 - Payout ratio)


Then calculate the forward P/E ratio as
Forward P/E ratio= Po/E1, where E1 is expected earning for next year

In practice, analysts often recommend stocks on the basis of this
forward P/E ratio or multiplier by making a relative judgment with some
benchmark.
Other Relative Valuation Ratios:
Price to Book Value(P/B): This is the ratio of stock
price to per share stockholders’ equity.
Analysts recommend lower P/B stock compared to its
own ratio over time, its industry ratio, and the market
ratio as a whole.

Price to Sales Ratio(P/S): A company’s stock price
divided by its sales per share.
A PSR 1.0 is average for all companies but it is
important to interpret the ratio within industry
bounds and its own historical average.
Part-C
Portfolio Management
Risk Diversification- the objective of portfolio formation
without affecting the return significantly

If the rates of return on individual securities are dependent only on
company-specific risks of that company and these returns are
statistically independent of other securities’ returns, then in that case,
the standard deviation of return of the portfolio (formed by n
number of securities) is given by
        σi
σp= ------------(1)
        √n
                         Standard deviation of




                                                 Company-specific risk
                         portfolio return




                                                                              Total risk



                                                            Systematic risk

                                                                No. of securities
Risk Diversification
 Risk diversification is the key to the
 management of portfolio risk, because it allows
 investors to significantly lower the portfolio risk
 without adversely affecting return.

 Diversification types:
   Random or naive diversification
   Efficient diversification
Random or naive diversification:
 It refers to the act of randomly diversifying
 without regard to relevant investment characteristics such
 as expected return and industry classification. An
 investor simply selects relatively large number
 of securities randomly.

 Unfortunately, in such case, the benefits of
 random diversification do not continue as we
 add more securities, the reduction becomes
 smaller and smaller.
Efficient diversification
 Efficient diversification takes place in an efficient
 portfolio that has the smallest portfolio risk for a given
 level of expected return or the largest expected return
 for a given level of risk. Investors can specify a portfolio
 risk level they are willing to assume and maximize the
 expected return on the portfolio for this level of risk.

 Rational investors look for efficient portfolios, because
 these portfolios are optimized on the two dimensions of
 most importance to investors- return and risk.
Modern Portfolio Theory
In 1952, Markowitz, the father of modern portfolio theory, developed
the basic principle of portfolio diversification in a formal way, in
quantified form, that shows why and how portfolio diversification works
to reduce the risk of a portfolio to an investor. Modern Portfolio
theory hypothesizes how investors should behave.

According to Markowitz, the portfolio risk is not simply a weighted
average of the risks brought by individual securities in the portfolio but
it also includes the risks that occurs due to correlations among the
securities in the portfolio. As the no. of securities in the portfolio
increases, contribution of individual security’s risk decreases due to
offsetting effect of strong performing and poor performing securities in
the portfolio and the importance of covariance relationships among
securities increases. Thus the portfolio risk is given by
σ2p=∑wi2σi2 + ∑ ∑wiwjρijσiσj

  =∑ ∑wiwjρijσiσj        (the 1st term is neglected for large n)
Efficient Frontiers
Graph for the risk-return trade-off according to Markowitz portfolio theory is
drawn below.




                                             B

                              Portfolio on AB section are better than those on
                              AC in risk-return perspective and so portfolios on
E(R)                A         AB are called efficient portfolios that offers best
                              risk-return combinations to investors


                                     C

            Global minimum portfolio

                            Risk σ
Computing Problem with Original
Markowitz Theory, and Later Simplification
  As n increases, n(n-1) covariances (inputs) are required
  to calculate under Markowitz model. Due to this
  complexity of computation, it was mainly used for
  academic purposes before simplification.

  It was observed that mirror images of covariances were
  present in Markowitz’s model. So after excluding the
  mirror images in the simplified form, n(n-1)/2 unique
  covariances are required for using this model and since
  then it is being used by investors.
Markowitz Model for Selection of Optimal
Asset Classes-Asset Allocation Decision:
 Markowitz model is typically thought of in terms
 of selecting portfolios of individual securities. But
 alternatively, it can be used as a selection
 technique for asset classes and asset allocation.
Single Index Model - An Alternative
Simplified Approach to Determine
Efficient Frontiers
Single-Index model assumes that the risk of return from each
security has two components-
  the market related component(βiRM)caused by macro events and
   the company-specific component(ei) which is a random residual
  error caused by micro events.

The security responds only to market index movement as
residual errors of the securities are uncorrelated. The residual
errors occur due to deviations from the fitted relationship
between security return and market return. For any period, it
represents the difference between the actual return(Ri) and the
return predicted by the parameters of the model(βiRM)
The Single Index model is given by the equation:
      Ri=αi + βiRM + ei ………for security i, where
      Ri= the return on security
      RM=the return from the market index
      αi =risk free part of security i’s return which is independent
      of market return
      βi=sensitivity of security i, a measure of change of Ri for per
      unit change RM, which is a constant
      ei=random residual error, which is company specific

                        ei
 Ri


                             Single Index Model
              βi
                             Diagram
 αi
                   RM
Single Index Model……
 Total risk of a security , as measured by its variance, consists of
 two components: market risk and unique risk and given by
      αi2=βi2[αM2}+ αei2
        =Market risk + company-specific risk
 This simplification also applies to portfolios, providing an
 alternative expression to use in finding the minimum variance set
 of portfolios:
      αp2=βp2[α 2}+ αep2
                M




 The Single-Index model is an alternative to Markowitz model to
 determine the efficient frontiers with much fewer calculations,
 3n+2 calculations, instead of n(n-1)/2 calculations. For 20
 securities, it requires 62 inputs instead of 190 in Markowitz
 model.
Multi-Index Model
Some researchers have attempted to capture some
non-market influences on stock price by
constructing Multi-Index model. Probably the most
obvious non-market influence is the industry
factor. Multi-index model is given by the equation:
  E(Ri)=ai+biRM+ciNF + ei, where NF=non-market factor
Capital Market Theory(CMT)
Capital market theory hypothesizes how investors behave rather than how they
should behave as in Markowitz portfolio theory. CMT is based on Markowitz
theory and but it is an extension of that.

The more the risk is involved in an investment, the more the return is required
to motivate the investors. It plays a central role in asset pricing, because it is the risk
that investors undertake with expectation to be rewarded.

CMT is build on Markowitz Portfolio theory and extended with introduction of
risk-free asset that allows investors borrowing and lending at risk-free rate and
at this, the efficient frontier is completely changed, which in tern leads to a
general theory for pricing asset under uncertainty. Borrowing additional ingestible
fund and investing together with investor’s wealth allows investors to seek higher
expected return, while assuming greater risk. Likewise, lending part of investor’s wealth
at risk-free rate, investors can reduce risk at the expense of reduced expected return.
CMT Graphs:
                                    Borrowing

         Market portfolio                         M1
            M
Return
                            E(R)   M2        M
                                        Lending
  RF                          RF
              Risk                          σ
CAPM and Its Two Specifications:
CML, SML
 CAPM(Capital Asset Pricing Model)
 This is a form of CMT, and it is an equilibrium
 model, allows us to measure the relevant risk of an
 individual security as well as to assess the relationship
 between risk and the returns expected from investing.
 It has two specifications: CML & SML
CML:
 CML(Capital Market Line): A straight line, depicts equilibrium
 conditions that prevails in the market for efficient portfolios consisting
 of the optimal portfolio risky assets and the risk-free asset. All
 combinations of the risk-free asset and risky portfolio M are on CML,
 and in equilibrium, all investors will end up with portfolios somewhere
 on the CML.
                            M
E(RM)
                                   Risk premium for market portfolio

E(R)

  RF                              E(Rp)=RF+(E(RM)-RF)ρp/    σ2M



        Risk of market

        portfolio M, σM


                     Risk
SML:
 SML (Security Market Line): It says that the expected rate of return from an
 asset is function of the two components of the required rate of return- the risk
 free rate and risk premium, and can be written by, k=RF+β(E(RM)-RF). At
 market portfolio M,                  β=1.
                                                             M
           Required rate of return




                                     undervalued                                   Overvalued
                                            X                     Y

                                                                      Assets more risky
                                     Assets less risky                than market portfolio

          RF
                                     than market portfolio
                                                                 βM
                                                             1                   β
SML…..
CAPM formally relates the expected rate of return for any
security of portfolio with the relevant risk measure. This is
the most cited form of relationship and graphical
representation of CAPM.

Beta is the change in risk on an individual security
influenced by 1 percent change in market portfolio return.
Beta is the relevant measure of risk that can not be
diversified away in a portfolio of securities and, as such, is
the measure that investors should consider in their portfolio
management decision process.
Portfolio Performance Measurement
 Sharpe’s measure(Reward to Variability Ratio, RVAR):
 The performance of portfolio is calculated in Sharpe’s measure as the
 ratio of excess portfolio return to the standard deviation of return for
 the portfolio.
                                                              CML of
 RVAR=( TRp –RF)/SDp                                Y      appropriate




                                       Rate of return
                                                                      benchmarks
  Efficient portfolios lie on CML                       X
  Outperformers lie above CML                                 Z
  Underperformers lie under CML
                                       RF
 Note about RVAR:                                             SDp
    It measures the excess return per unit of total risk(SDp) of the portfolio
    The higher the RVAR, the better the portfolio performance
    Portfolios can be ranked by RVAR and best performing one can be determined
    Appropriate benchmark is used for relative comparisons in performance measurement
Portfolio Performance
Measurement…………
Treynor’s measure(Reward to Volatility Ratio, RVOR)
The performance of portfolio is calculated in Treynor’s measure as the ratio of
excess portfolio return to the beta of the portfolio which is systematic risk.
RVOR=( TRp –RF)/ βp                                                     SML of
                                                              Y




                                         Rate of return
                                                                    appropriate
 Efficient portfolios lie on SML                                    benchmarks
 Outperformers lie above SML                       X
                                                               Z
 Underperformers lie under SML
                                        RF
                                                                βp

 Note about RVOL:
   It measures the excess return per unit of systematic risk (βp) of the portfolio
   The higher the RVOR, the better the portfolio performance
   Portfolios can be ranked by RVOR and best performing one can be determined
Portfolio Performance
Measurement…………
 Jensen’s Differential Return Measure, α:
 It is calculated as the difference between what the
 portfolio actually earned and what it was expected
 to earn given the portfolio’s level of systematic risk.
                                                       X
  αp=(Rp – RF) – [βp (RM – RF)]                            Y

      =Actual return –required return                          Z

                                    Rp - RF




                                        0
                                                 RM - RF
Portfolio monitoring and
rebalancing
 It is important to monitor market conditions,
 relative asset mix and investors’ circumstances.
 These changes dynamically and frequently and
 so there is need for rebalancing the portfolio
 towards optimal point.
Thank You

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SEC Analysis & Portfolio Management

  • 1. Securities Analysis & Portfolio Management Presented By Md. Ashraful Islam Director, SEC
  • 2. Contents Part-A: Investment fundamentals Understanding investment Some definitions Sources and types of risk Risk-return trade-off in different types of securities Important considerations in investment process Part-B: Securities Analysis Securities analysis concept and types Framework of fundamental securities analysis Intrinsic valuation & relative valuation Part-C: Portfolio Management Portfolio concept Modern Portfolio Theory: Markowitz Portfolio Theory Determination of optimum portfolio Single-Index model, Multi-Index model Capital Market Theory Portfolio performance measurement
  • 4. Understanding investment Investment is commitment of fund to one or more assets that is held over some future time period. Investing may be very conservative as well as aggressively speculative. Whatever be the perspective, investment is important to improve future welfare. Funds to be invested may come from assets already owned, borrowed money, savings or foregone consumptions. By forgoing consumption today and investing the savings, investors expect to enhance their future consumption possibilities by increasing their wealth. Investment can be made to intangible assets like marketable securities or to real assets like gold, real estate etc. More generally it refers to investment in financial assets.
  • 5. Investments refers to the study of the investment process, generally in financial assets like marketable securities to maximize investor’s wealth, which is the sum of investor’s current income and present value of future income. It has two primary functions: analysis and management. Whether Investments is Arts or Science?
  • 6. Some definitions: Financial assets: These are pieces of paper (or electronic) evidencing claim on some issuer. Marketable securities: Financial assets that are easily and cheaply traded in organized markets. Portfolio: The securities held by an investor taken as a unit. Expected return: Investors invest with the hope to earn a return by holding the investment over a certain time period. Realized return: The rate of return that is earned after maturity of investment period. Risk: The chance that expected return may not be achieved in reality.
  • 7. Risk-Free Rate of Return: A return on riskless asset, often proxied by the rate of return on treasury bills. Risk–Adverse Investor: An investor who will not assume a given level of risk unless there is an expectation of adequate compensation for having done so. Risk Premium: The additional return beyond risk fee rate that is required for making investment decision in risky assets.
  • 8. Definitions conti…. Passive Investment Strategy: A strategy that determines initial investment proportions and assets and make few changes over time. Active Investment Strategy: A strategy that seeks to change investment proportions and assets in the belief that profits can be made. Efficient Market Hypothesis(EMH): The proposition that security markets are efficient, in the sense that price of securities reflect their economic value based on price sensitive information. Weak-form EMH Semi-strong EMH Strong EMH
  • 9. Definitions Conti…. Face value or Par value or Stated value: The value at which corporation issue its shares in case of common share or the redemption value paid at maturity in case of bond. New stock is usually sold at more than par value, with the difference being recorded on balance sheet as “capital in excess of par value”. Book Value: The accounting value of equity as shown in the balance sheet. It is the sum of common stock outstanding, capital in excess of par value, and retained earnings. Dividing this sum or total book value by the number of common shares outstanding produces the book value par share. Although it plays an important role in investment decision, market value par share is the critical item of interest to investors.
  • 10. Sources and Types of Risk Sources of Risk: Interest rate risk Market risk Inflation risk Business risk Financial risk Liquidity risk Exchange rate risk Country risk Broad Types: Systematic/Market Risk Non-systematic/Non-market/Company-specific Risk
  • 11. Risk-return trade-off in different types of securities Various types of securities: Equity securities may be -Ordinary share or Common share, gives real ownership because holder bears ultimate risk and enjoy return and have voting rights -Preferential share, enjoy fixed dividend, avoids risk, do not have voting right. Debt securities may be -Bond, a secured debt instrument, payable on first on liquidity -Debenture, an unsecured debt instrument, Derivative securities are those that derive their value in whole or in part by having a claim on some underlying value. Options and futures are derivative securities Options Corporate bonds Expected return Futures Common stocks RF Risk
  • 12. Factors Affecting Security Prices Stock splits Dividend announcements Initial public offerings Reactions to macro and micro economic news Demand/supply of securities in the market Marketability of securities Dividend payments Many others
  • 13. Direct investment and indirect investment In Direct Investing, investors buy and sell securities themselves, typically through brokerage accounts. Active investors may prefers this type of investing. In Indirect Investing, investors buy and sell shares of investment companies, which in turn hold portfolios of securities. Individual who are not active may prefer this type of investing.
  • 14. Important considerations in investment decision process: Investment decision should be considered based on economy, industry consideration and company fundamentals including management & financial performance Investment decision process can be lengthy and involved The great unknown may exist whatever be the individual actions Global investment arena New economy vrs old economy stocks The rise of the internet- a true revolution for investment information. Institutional investors vrs individual investor Risk-return preference Traditionally, investors have analyzed and managed securities using a broad two-step process: security analysis and portfolio management
  • 16. Security Analysis Concept & Types Security analysis is the first part of investment decision process involving the valuation and analysis of individual securities. Two basic approaches of security analysis are fundamental analysis and technical analysis. Fundament analysis is the study of stocks value using basic financial variables in order to order to determine company’s intrinsic value. The variables are sales, profit margin, depreciation, tax rate, sources of financing, asset utilization and other factors. Additional analysis could involve the company’s competitive position in the industry, labor relations, technological changes, management, foreign competition, and so on. Technical analysis is the search for identifiable and recurring stock price patterns. Behavioral Finance Implications: Investors are aware of market efficiency but sometimes overlook the issue of psychology in financial markets- that is, the role that emotions play. Particularly, in short turn, inventors’ emotions affect stock prices, and markets
  • 17. Framework for Fundamental Analysis: Bottom-up approach, where investors focus directly on a company’s basic. Analysis of such information as the company’s products, its competitive position and its financial status leads to an estimate of the company's earnings potential and ultimately its value in the market. The emphasis in this approach is on finding companies with good growth prospect, and making accurate earnings estimates. Thus bottom-up fundamental research is broken in two categories: growth investing and value investing Growth Stock: It carry investor expectation of above average future growth in earnings and above average valuations as a result of high price/earnings ratios. Investors expect these stocks to perform well in future and they are willing to pay high multiples for this expected growth. Value Stock: Features cheap assets and strong balance sheets. In many cases, bottom-up investing does not attempt to make a clear distinction between growth and value stocks. Top-down approach is better approach.
  • 18. Top-down Approach In this approach investors begin with economy/market considering interest rates and inflation to find out favorable time to invest in common stock then consider future industry/sector prospect to determine which industry/sector to invest in Finally promising individual companies of interest in the prospective sectors are analyzed for investment decision.
  • 19. Fundamental Analysis at Company Level: There are two basic approaches for valuation of common stocks using fundamental analysis, which are: Intrinsic Valuation: Discounted cash flow(DCF) technique. One form of DCF is Dividend Discount Model(DDM), that uses present value method by discounting back all future dividends Relative Valuation Model, uses P/E ratio, P/B ratio and P/S ratio
  • 20. Intrinsic Valuation, DDM: In this method, an investor or analyst carefully studies the future prospects for a company and estimates the likely dividends to be paid, which are the only payments an investor receives directly from a company. In addition, the analyst estimates an appropriate required rate of return on the risk foreseen in the dividends. Then calculate the estimated discounted present value of all future dividends as below: PV of stock, Vo= D1/(1+k) +D2/(1+k)2+ D3/(1+k)3+….. =D1/(k – g) …… (after simplification) where, D1, D2, D3..are future 1st, 2nd , 3rd years dividends, k is required rate of return Now, If Vo > Po, the stock is undervalued and should be purchased If Vo < Po, the stock is overvalued and should be not be purchased If Vo = Po, the stock is at correctly priced Alternatively, in practice, investors can use DDM to select stocks. The expected rate of return, k, for constant growth stock can be written as k= D1/Po + g, where D1/Po is dividend yield and the 2nd part g is price change component
  • 21. Relative Valuation Relative valuation technique uses comparisons to determine a stock’s value. By calculating measures such as P/E ratio and making comparisons to some benchmark(s) such as the market, an industry or other stocks history over time, analyst can avoid having to estimate g and k parameters of DDM. In relative valuation, investors use several different ratios such as P/E, P/B, P/S etc in an attempt to assess value of a stock through comparison with benchmark.
  • 22. Earning Multiplier or P/E Ratio Model: This model is the best-known and most widely used model for stock valuation. Analysts are more comfortable taking about earning per share (EPS) and P/E ratios, and this is how their reports are worded. P/E ratio simply means the multiples of earnings at which the stock is selling. For example, if a stock’s most recent 12 months earning is Tk 5 and its is selling now at Tk 150, then it is said that the stock is selling for a multiple of 30.
  • 23. Determinants of P/E Ratio: For a constant growth model of DDM, Price of a stock, P=D1/(k - g) Or, P/E=(D1/E)/(k - g) This indicates that P/E depends on: 1. Expected dividend payout ratio, D1/E 2. Required rate of return, k, which is to be estimated 3. Expected growth rate of dividends Thus following relationship should hold, being other things equal: 1. The higher the expected payout ratio, the higher the P/E ratio 2. The higher the expected growth rate, the higher the P/E ratio 3. The higher the required rate of return, the lower the P/E ratio
  • 24. Valuation Using P/E Ratio: To use the earnings multiplier model for valuation of a stock, investors must look ahead because valuation is always forward looking. They can do this by making a forecast of next year’s earnings per share E1, assuming a constant growth model, as Next years earning per share, E1=Eo(1+g) where, g=ROE X (1 - Payout ratio) Then calculate the forward P/E ratio as Forward P/E ratio= Po/E1, where E1 is expected earning for next year In practice, analysts often recommend stocks on the basis of this forward P/E ratio or multiplier by making a relative judgment with some benchmark.
  • 25. Other Relative Valuation Ratios: Price to Book Value(P/B): This is the ratio of stock price to per share stockholders’ equity. Analysts recommend lower P/B stock compared to its own ratio over time, its industry ratio, and the market ratio as a whole. Price to Sales Ratio(P/S): A company’s stock price divided by its sales per share. A PSR 1.0 is average for all companies but it is important to interpret the ratio within industry bounds and its own historical average.
  • 27. Risk Diversification- the objective of portfolio formation without affecting the return significantly If the rates of return on individual securities are dependent only on company-specific risks of that company and these returns are statistically independent of other securities’ returns, then in that case, the standard deviation of return of the portfolio (formed by n number of securities) is given by σi σp= ------------(1) √n Standard deviation of Company-specific risk portfolio return Total risk Systematic risk No. of securities
  • 28. Risk Diversification Risk diversification is the key to the management of portfolio risk, because it allows investors to significantly lower the portfolio risk without adversely affecting return. Diversification types: Random or naive diversification Efficient diversification
  • 29. Random or naive diversification: It refers to the act of randomly diversifying without regard to relevant investment characteristics such as expected return and industry classification. An investor simply selects relatively large number of securities randomly. Unfortunately, in such case, the benefits of random diversification do not continue as we add more securities, the reduction becomes smaller and smaller.
  • 30. Efficient diversification Efficient diversification takes place in an efficient portfolio that has the smallest portfolio risk for a given level of expected return or the largest expected return for a given level of risk. Investors can specify a portfolio risk level they are willing to assume and maximize the expected return on the portfolio for this level of risk. Rational investors look for efficient portfolios, because these portfolios are optimized on the two dimensions of most importance to investors- return and risk.
  • 31. Modern Portfolio Theory In 1952, Markowitz, the father of modern portfolio theory, developed the basic principle of portfolio diversification in a formal way, in quantified form, that shows why and how portfolio diversification works to reduce the risk of a portfolio to an investor. Modern Portfolio theory hypothesizes how investors should behave. According to Markowitz, the portfolio risk is not simply a weighted average of the risks brought by individual securities in the portfolio but it also includes the risks that occurs due to correlations among the securities in the portfolio. As the no. of securities in the portfolio increases, contribution of individual security’s risk decreases due to offsetting effect of strong performing and poor performing securities in the portfolio and the importance of covariance relationships among securities increases. Thus the portfolio risk is given by σ2p=∑wi2σi2 + ∑ ∑wiwjρijσiσj =∑ ∑wiwjρijσiσj (the 1st term is neglected for large n)
  • 32. Efficient Frontiers Graph for the risk-return trade-off according to Markowitz portfolio theory is drawn below. B Portfolio on AB section are better than those on AC in risk-return perspective and so portfolios on E(R) A AB are called efficient portfolios that offers best risk-return combinations to investors C Global minimum portfolio Risk σ
  • 33. Computing Problem with Original Markowitz Theory, and Later Simplification As n increases, n(n-1) covariances (inputs) are required to calculate under Markowitz model. Due to this complexity of computation, it was mainly used for academic purposes before simplification. It was observed that mirror images of covariances were present in Markowitz’s model. So after excluding the mirror images in the simplified form, n(n-1)/2 unique covariances are required for using this model and since then it is being used by investors.
  • 34.
  • 35. Markowitz Model for Selection of Optimal Asset Classes-Asset Allocation Decision: Markowitz model is typically thought of in terms of selecting portfolios of individual securities. But alternatively, it can be used as a selection technique for asset classes and asset allocation.
  • 36. Single Index Model - An Alternative Simplified Approach to Determine Efficient Frontiers Single-Index model assumes that the risk of return from each security has two components- the market related component(βiRM)caused by macro events and the company-specific component(ei) which is a random residual error caused by micro events. The security responds only to market index movement as residual errors of the securities are uncorrelated. The residual errors occur due to deviations from the fitted relationship between security return and market return. For any period, it represents the difference between the actual return(Ri) and the return predicted by the parameters of the model(βiRM)
  • 37. The Single Index model is given by the equation: Ri=αi + βiRM + ei ………for security i, where Ri= the return on security RM=the return from the market index αi =risk free part of security i’s return which is independent of market return βi=sensitivity of security i, a measure of change of Ri for per unit change RM, which is a constant ei=random residual error, which is company specific ei Ri Single Index Model βi Diagram αi RM
  • 38. Single Index Model…… Total risk of a security , as measured by its variance, consists of two components: market risk and unique risk and given by αi2=βi2[αM2}+ αei2 =Market risk + company-specific risk This simplification also applies to portfolios, providing an alternative expression to use in finding the minimum variance set of portfolios: αp2=βp2[α 2}+ αep2 M The Single-Index model is an alternative to Markowitz model to determine the efficient frontiers with much fewer calculations, 3n+2 calculations, instead of n(n-1)/2 calculations. For 20 securities, it requires 62 inputs instead of 190 in Markowitz model.
  • 39. Multi-Index Model Some researchers have attempted to capture some non-market influences on stock price by constructing Multi-Index model. Probably the most obvious non-market influence is the industry factor. Multi-index model is given by the equation: E(Ri)=ai+biRM+ciNF + ei, where NF=non-market factor
  • 40. Capital Market Theory(CMT) Capital market theory hypothesizes how investors behave rather than how they should behave as in Markowitz portfolio theory. CMT is based on Markowitz theory and but it is an extension of that. The more the risk is involved in an investment, the more the return is required to motivate the investors. It plays a central role in asset pricing, because it is the risk that investors undertake with expectation to be rewarded. CMT is build on Markowitz Portfolio theory and extended with introduction of risk-free asset that allows investors borrowing and lending at risk-free rate and at this, the efficient frontier is completely changed, which in tern leads to a general theory for pricing asset under uncertainty. Borrowing additional ingestible fund and investing together with investor’s wealth allows investors to seek higher expected return, while assuming greater risk. Likewise, lending part of investor’s wealth at risk-free rate, investors can reduce risk at the expense of reduced expected return.
  • 41. CMT Graphs: Borrowing Market portfolio M1 M Return E(R) M2 M Lending RF RF Risk σ
  • 42. CAPM and Its Two Specifications: CML, SML CAPM(Capital Asset Pricing Model) This is a form of CMT, and it is an equilibrium model, allows us to measure the relevant risk of an individual security as well as to assess the relationship between risk and the returns expected from investing. It has two specifications: CML & SML
  • 43. CML: CML(Capital Market Line): A straight line, depicts equilibrium conditions that prevails in the market for efficient portfolios consisting of the optimal portfolio risky assets and the risk-free asset. All combinations of the risk-free asset and risky portfolio M are on CML, and in equilibrium, all investors will end up with portfolios somewhere on the CML. M E(RM) Risk premium for market portfolio E(R) RF E(Rp)=RF+(E(RM)-RF)ρp/ σ2M Risk of market portfolio M, σM Risk
  • 44. SML: SML (Security Market Line): It says that the expected rate of return from an asset is function of the two components of the required rate of return- the risk free rate and risk premium, and can be written by, k=RF+β(E(RM)-RF). At market portfolio M, β=1. M Required rate of return undervalued Overvalued X Y Assets more risky Assets less risky than market portfolio RF than market portfolio βM 1 β
  • 45. SML….. CAPM formally relates the expected rate of return for any security of portfolio with the relevant risk measure. This is the most cited form of relationship and graphical representation of CAPM. Beta is the change in risk on an individual security influenced by 1 percent change in market portfolio return. Beta is the relevant measure of risk that can not be diversified away in a portfolio of securities and, as such, is the measure that investors should consider in their portfolio management decision process.
  • 46. Portfolio Performance Measurement Sharpe’s measure(Reward to Variability Ratio, RVAR): The performance of portfolio is calculated in Sharpe’s measure as the ratio of excess portfolio return to the standard deviation of return for the portfolio. CML of RVAR=( TRp –RF)/SDp Y appropriate Rate of return benchmarks Efficient portfolios lie on CML X Outperformers lie above CML Z Underperformers lie under CML RF Note about RVAR: SDp It measures the excess return per unit of total risk(SDp) of the portfolio The higher the RVAR, the better the portfolio performance Portfolios can be ranked by RVAR and best performing one can be determined Appropriate benchmark is used for relative comparisons in performance measurement
  • 47. Portfolio Performance Measurement………… Treynor’s measure(Reward to Volatility Ratio, RVOR) The performance of portfolio is calculated in Treynor’s measure as the ratio of excess portfolio return to the beta of the portfolio which is systematic risk. RVOR=( TRp –RF)/ βp SML of Y Rate of return appropriate Efficient portfolios lie on SML benchmarks Outperformers lie above SML X Z Underperformers lie under SML RF βp Note about RVOL: It measures the excess return per unit of systematic risk (βp) of the portfolio The higher the RVOR, the better the portfolio performance Portfolios can be ranked by RVOR and best performing one can be determined
  • 48. Portfolio Performance Measurement………… Jensen’s Differential Return Measure, α: It is calculated as the difference between what the portfolio actually earned and what it was expected to earn given the portfolio’s level of systematic risk. X αp=(Rp – RF) – [βp (RM – RF)] Y =Actual return –required return Z Rp - RF 0 RM - RF
  • 49. Portfolio monitoring and rebalancing It is important to monitor market conditions, relative asset mix and investors’ circumstances. These changes dynamically and frequently and so there is need for rebalancing the portfolio towards optimal point.