SAPM Solved Papers May' 2022 [Dibrugarh University B.Com 6th Sem CBCS Pattern]

Dibrugarh University B. Com 6th Sem Question Paper CBCS Pattern

6th SEM TDC DSE COM (CBCS) 601 (GR-I)

2022 (June/July)

COMMERCE (Discipline Specific Elective)

(For Honours/Non-Honours)

Paper: DSE-601 (Gr-I) (Security Analysis and Portfolio Management)

Full Marks: 80

Pass Marks: 32

Time: 3 hours.

The figures in the margin indicate full marks for the questions


1. (a) State whether the following statements are True or False:               1x4=4

(1) Investment made on house property is a non-negotiable financial investment.

Ans: False

(2) Diversification reduces inflation risk.

Ans: True

(3) Market imperfection may lead to band of SML.

Ans: True

(4) Reward to volatility ratio developed by Jack Treynor.

Ans: True

(b) Fill in the blanks with appropriate word(s):

(1) Leading indicator is _______. (Sensex / GNP / Consumer Price Index)

Ans: Sensex is leading indicator others are lagging indicators

(2) _______ is the highly liquid security. (Share / Debenture / Treasury Bill)

Ans: Shares

(3) As per CAPM, the relevant measure of risk is _______. (standard deviation / beta / variance)

Ans: Beta

(4) The Sharpe index assigns the high values to fund that have _______. (higher risk adjusted returns / higher returns / low standard deviation)

Ans: higher risk adjusted returns

2. Write short notes on:                                4x4=16

(a) Systematic risk and unsystematic risk.

Ans: Systematic Risk: Systematic Risk refers to that portion of total variability (risk) in return caused by factors affecting the prices of all securities. Economic, political, and sociological changes are the main sources of systematic risk. Though it affects all the securities in the market, the extent to which it affects a security will vary from one security to another. Systematic risk cannot be diversified. Systematic risk can be measured in terms of Beta (β), a statistical measure. The beta for market portfolio is equal to one by definition. Beta of one (β=1), indicates that volatility of return on the security is same as the market or index; beta more than one (β>1) indicates that the security has more unavoidable risk or is more volatile than market as a whole, and beta less than one (β<1) indicates that the security has less systematic risk or is less volatile than market.

Unsystematic risk: Unsystematic Risk refers to that portion of total risk that is unique or peculiar to a firm or an industry, above and beyond that affecting securities markets in general. Factors like consumer preferences, labour strikes, management capability etc. cause unsystematic risk (variability of returns) for a company’s stock. Unlike systematic risk, the unsystematic risk can be reduced/avoided through diversification. Total risk of a fully diversified portfolio equals to the market risk of the portfolio as its specific risk becomes zero.

(b) Portfolio management scheme.

Ans: Portfolio management is a dynamic concept and requires continuous and systematic analysis, judgement and operations. It is a process involving many activities of investment in assets and securities. Firstly, it involves construction of a portfolio based upon the data base of the client/investor, his objectives, constraint preferences for risk and return etc. On the basis of above mentioned facts, selection of assets and securities is made. Secondly, it involves monitoring/reviewing of the portfolio from time to time in light of changing market conditions. Accordingly, changes are effected in the portfolio. Thirdly, it involves evaluation of the portfolio in terms of targets set for risk and return and making adjustments accordingly.

Portfolio Management scheme (PMS) is a professional financial service where skilled portfolio managers and stock market professionals manage your equity portfolio with the assistance of a research team. Many investors have equity portfolios in their Demat Account but managing them can be a challenge. PMS is a systematic approach to maximise returns while minimising the risk factor on your investments. It enables you to make sound decisions that are supported by extensive research and factual data without lifting a finger. Additionally, it better prepares you to deal with market adversity.

(c) Factor sensitivity.

Ans: Factor sensitivity analysis is an essential aspect of analyzing investment risk. It is a technique used to evaluate the sensitivity of a portfolios performance to individual risk factors. The technique is used to identify the most significant drivers of risk and returns and aids in the development of strategies to mitigate or exploit these risks. Factor sensitivity analysis, also known as factor exposure analysis, is used by portfolio managers, analysts, and investors to understand the risk and return characteristics of a portfolio and to make informed decisions.

(d) Components of performance evaluation.

Ans: Portfolio performance evaluation can be defined as a feedback and control mechanism which is used by the portfolio managers and investment analysts to make the process of portfolio/investment management more effective. Expert Portfolio managers have to show superior performance over the market; for that they have to evaluate their performance in comparison with other portfolio managers. Portfolio manager have an objective to achieve an optimum risk return adjustment. Whether they are heading towards this objective or not will be found out only if they evaluate their portfolios periodically. However, in conducting such an evaluation, a means for determining the appropriate standard or benchmark must be established. Two major factors which influence the performance are the rate of return earned and the associated risk over the relevant period.

Risk may be described as variability/fluctuation/deviation of actual return from expected return from a given asset/investment. Higher the variability, greater is the risk. In other words, the more certain the return from an asset, lesser is the variability and thereby lesser is the risk.

Return can be defined as the actual income from a project as well as appreciation in the value of capital. Thus there are two components in return—the basic component or the periodic cash flows from the investment, either in the form of interest or dividends; and the change in the price of the asset, com­monly called as the capital gain or loss.

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3. (a) “Without adequate information the investor cannot carry out his investment programme.” Explain.           14

Ans: Investment is the employment of funds with the aim of getting return on it. In general terms, investment means the use of money in the hope of making more money. In finance, investment means the purchase of a financial product or other item of value with an expectation of favorable future returns.

Investment of hard earned money is a crucial activity of every human being. Investment is the commitment of funds which have been saved from current consumption with the hope that some benefits will be received in future. Thus, it is a reward for waiting for money. Savings of the people are invested in assets depending on their risk and return demands.

Investment refers to the concept of deferred consumption, which involves purchasing an asset, giving a loan or keeping funds in a bank account with the aim of generating future returns. Various investment options are available, offering differing risk-reward tradeoffs. An understanding of the core concepts and a thorough analysis of the options can help an investor create a portfolio that maximizes returns while minimizing risk exposure.

Importance of Adequate information for investors

Or

(b) What is economic forecasting? How are economic forecasting techniques helpful for investors?        4+10=14

Ans: Economic analysis: Economic analysis involves looking at the overall economic conditions that may impact a company or an asset. This includes macroeconomic indicators such as GDP, inflation, interest rates, and unemployment. This type of analysis helps investors understand the general state of the economy and how it may affect the performance of a company or asset. For example, a strong economy may lead to higher consumer spending and increased demand for a company's products, while a weak economy may lead to decreased demand and lower profits.

The commonly analysed macro-economic factors are as follows:

ü gross domestic product (GDP) growth rate

ü exchange rates

ü balance of payments (BOP)

ü current account deficit

ü government policy (fiscal and monetary policy)

ü domestic legislation (laws and regulations)

ü unemployment rates

ü public attitude (consumer confidence)

ü inflation

ü interest rates

ü productivity (output per worker)

ü Capacity utilisation (output by the firm).

Economic Forecasting and its importance to Investors

Economic forecasting is the process of estimating 

4. (a) Discuss the various steps involved in the traditional approach to the portfolio construction.            14

Ans: Traditional Approach to Portfolio Construction

Under this approach, investor’s needs in terms of income and capital appreciation are evaluated and appropriate securities are selected. After that risk and return analysis is carried out. Finally, weights are assigned to securities like bonds, stocks and debentures keeping in view the risk and return involved and then diversification is carried out. The following steps may be carried out:

1. Analysis of the constraints: It involves analysis of constraints of the investor within which the objectives will be formulated. The constraints may be decided on the basis of:

a) Income needs: Investors need for current income and constant income.

b) Liquidity needs: Investors preference for liquid assets.

c) Safety of principal: Safety of principal value at the time of liquidation.

d) Time horizon: Life cycle stage and investment planning period of the investor.

e) Tax consideration: Tax benefits of investment in a particular asset.

f) Temperament: Risk bearing capacity of the investor.

2. Determination of Objectives of Investors: It involves formulation of objectives within the framework of constraints. The basic objective of all investors is to achieve the maximum level of return and minimize the risk involved. Other objectives such as safety, liquidity hedge against inflation etc. are the subsidiary objectives. Some common objectives of the investors are:

a) Current income

b) Growth in income

c) Capital appreciation

d) Preservation of capital

3. Selection of the Securities: The selection of the securities depends upon the various objectives of the investor:

a)       If objective is to earn adequate amount of current income, then more of debt and less of equity would be a good combination.

b)      If the investor wishes a certain percentage of growth in the income from his investment, then he may have more of equity shares (say more than 60%) and less of debt (say 0-40%) in his portfolio. Inclusion of debt in portfolio helps the investor to avail of tax benefits.

c)       If the investor wants to multiply his investment over the years, he may invest in land or housing schemes. These investments offer faster rate of capital appreciation but lack liquidity. In stock market, the value of shares multiplies at much higher rates but involve risk.

d)      The investor’s portfolio may consist of more of debt instruments than equity shares with a view to ensure more safety of the principal amount.

4. Risk and Return Analysis: The objective of portfolio management is to maximize the return and minimize the risk. Risk is uncertainty of income/capital appreciation or loss of both. The two types of risks evolved are:

a)       Systematic or market related risks arises due to non-availability of raw material, interest rates fluctuations, inflation, import and export policy of the government., taxation policy, government policies, general business risk, financial risk etc.

b)      Unsystematic risk or company related risk due to mismanagement, defective sales policies, increasing inventory, faulty financial policies, labour problems, defective marketing of products resulting into decreased demand etc.

5. Diversification: The unsystematic risks or company related risks involved in investment and portfolio management can be reduced and returns can be optimized through diversification i.e. by carefully selecting variety of the assets, instruments, industry and scrip of company’s/government securities. When different assets are added to the portfolio, the total risk tends to decrease.

Or

(b) (1) Briefly discuss the Sharpe’s Single Index Model.                  7

Ans: The Sharpe Measure

In this model, performance of a fund is evaluated on the basis of Sharpe Ratio, which is a ratio of returns generated by the fund over and above risk free rate of return and the total risk associated with it. According to Sharpe, it is the total risk of the fund that the investors are concerned about. So, the model evaluates funds on the basis of reward per unit of total risk. Symbolically, it can be written as:

Sharpe Index (St) = (Rt - Rf)/Sd

Where, St = Sharpe’s Index

Rt= represents return on fund and

Rf= is risk free rate of return.

Sd= is the standard deviation

While a high and positive Sharpe Ratio shows a superior risk-adjusted performance of a fund, a low and negative Sharpe Ratio is an indication of unfavorable performance. This index gives a measure of portfolios total risk and variability of returns in relation to the risk premium. This method ranks all portfolios on the basis of St. Larger the value of St, the better the performance of the portfolio.

The following figure gives a graphic representation of Sharpe’s index. Sd measure the slope of the line emanating from the risk less rate outward to the portfolio in question.

Example

Portfolio

Average return

S.D.

Risk Free Rate

A

15%

3%

9%

B

20%

8%

9%

SA  = (15 – 9)/3 = 2

SB  = (20 – 9)/8 = 1.375

Thus, portfolio A is ranked higher because its index i.e. 2.0 is higher as compare to B’s index i.e. 1.375. This is despite the fact that B has a higher return (20% >15%)

Advantages of Sharpe’s Ratio:

a) The main advantage of this ratio is that it is easy to calculate and it is used widely.

b) This index gives a measure of portfolios total risk and variability of returns in relation to the risk premium.

c) The Sharpe ratio also standardizes the relationship between risk and return and therefore can be used to compare different asset classes i.e., comparison of stocks with commodities.

d) An advantage of Sharpe ratio is that a beta estimate is not required.

Disadvantages of Sharpe ratio:

a) When risk free rate is known, it is very difficult to find the right expected return and standard deviation. In a stable market, it is very easy to predict expected return but in today’s dynamic market it is very difficult to predict future expected return.

b) This ratio is not appropriate when evaluating individual stocks because it uses total risk rather than systematic.

c) It is overstated if the return is smoothening and historical prices are used.

d) It can be manipulated by the fund managers if non-linear derivatives are used.

(2) An investor analyzing two investment alternatives, stock X and stock Y. The estimated rate of returns and their probability of occurrence for the next year are as follows:

Probability of Occurrence

Stock X

Stock Y

0.20

0.60

0.20

22

14

– 4

5

15

25

Determine expected rate of returns and standard deviation.

 Ans: Coming Soon

5. (a) Discuss the advantages of Capital Asset Pricing Model (CAPM). In what way, Capital Asset Pricing Model is better than factor models? Discuss.      7+7=14

Ans: Capital market theory is an extension of the Portfolio theory of Markowitz. The portfolio theory explains how rational investors should build efficient portfolio based on their risk-return preferences. Capital Market Asset Pricing Model (CAPM) incorporates a relationship, explaining how assets should be prices in the capital market. The capital market theory uses the results of capital market theory to derive the relationship between the expected returns and systematic risk of individual securities and portfolios.

Advantages of CAPM

CAPM has been a popular model for calculating risk for over 40 years now and is therefore a proven method, some advantages are:

a)       Ease-of-use: CAPM is a simplistic calculation that can be easily stress-tested to derive a range of possible outcomes to provide confidence around the required rates of return.

b)      Systematic Risk: It considers only systematic risk, reflecting a reality in which most investors have diversified portfolios from which unsystematic risk has been essentially eliminated.

c)       Business and Financial Risk Variability: When businesses investigate opportunities, if the business mix and financing differ from the current business, then other required return calculations, like weighted average cost of capital (WACC) cannot be used. However, CAPM can.

d)      Determination of firm’s required return: To develop this overall cost of capital, the manager must have an estimate of the cost of equity capital. To calculate a cost of equity, some managers estimate the firm’s beta (often from historical data) and use the CAPM to determine the firm’s required return on equity.

e)      Public utility: The CAPM can also be used by the regulations of public utilities. Utilities rates can be set so that all costs, including costs of debt and equity capital, are covered by rates charged to consumers. In determining the cost of equity for the public utility, the CAPM can be used to estimate directly the cost of equity for the utility in question. The procedure is like that followed for any other firm. The beta and risk-free and market rates of return are estimated, and the CAPM is used to determine a cost of equity.

f)        Useful tool for investment managers: Investment practitioners have been more enthusiastic and creative in adapting the CAPM for their uses. The CAPM has been used to select securities, construct portfolios, and are forecastle considered under-valued, that is, attractive candidates for purchase.

g)       Most reliable and effective tool: Furthermore, in the opinion of most experts it is a more reliable and effective method of calculating risk than other models such as the Dividend Growth Model as CAPM takes into account a company's level of systematic risk against the stock market as a whole; this is a benefit as it allows for a company to compare itself to the market.

Why CAPM is Superior to Factor model?

The Capital Asset Pricing Model (CAPM) and factor models are

Or

(b) What do you mean by the term ‘arbitrage’? Describe the basic multiple factor model of APT.              4+10=14

Ans: 

6. (a) “The portfolio performance is evaluated by measuring and comparing the portfolio return and associated risk and hence risk adjusted performance.” Discuss.                14

Ans: Portfolio performance evaluation and methods of its assessment

Portfolio performance evaluation can be defined as a feedback and control mechanism which is used by the portfolio managers and investment analysts to make the process of portfolio/investment management more effective. Expert Portfolio managers have to show superior performance over the market; for that they have to evaluate their performance in comparison with other portfolio managers. Portfolio manager have an objective to achieve an optimum risk return adjustment. Whether they are heading towards this objective or not will be found out only if they evaluate their portfolios periodically. However, in conducting such an evaluation, a means for determining the appropriate standard or benchmark must be established. Two major factors which influence the performance are the rate of return earned and the associated risk over the relevant period. The return is defined to include changes in the value of the fund over the performance period plus any income earned over that period. Risk is the variability surrounding the return. The manager has to diversify completely into different industries, assets and instruments so as to reduce the unsystematic risk to the minimum for a given level of return. The systematic or market related risk has to be managed by a proper selection of beta for the securities.

Methods of assessing performance

The portfolio performance is evaluated by measuring and comparing the portfolio return and associated risk and hence risks adjusted performance. For this purpose, there are essentially three major methods of assessing performance:

a)       Return per unit of risk.

b)      Differential return.

c)       Components of performance.

a)       Return per Unit of Risk: The first measure of risk adjusted performance assesses the performance of a fund in terms of return per unit of risk; both in absolute terms and relative terms (relative to overall market performance). According to this measure, funds that provide the highest return per unit of risk would be adjudged as the best performers and the funds that provide the lowest return per unit of risk would be the poorest performers. There are two methods of determining the return per unit of risk.

Ø  Reward to volatility ratio developed by William Sharpe and

Ø  Reward to volatility ration developed by Jack Treynor.

Evaluation has also to take into account whether the portfolio is securing above average returns, average returns or below average returns as compared to the prevailing rate of return in the market. The ability of the fund managers to diversity can reduce and even eliminate all unsystematic risk. They can manage the systematic risk by use of appropriate risk measures, namely Betas. The portfolio managers must have superior timing and superior stock selection to earn above average returns. Diversification can reduce the market related risk and maximize the returns for a given level of risk. As the market returns are positively related to risk, the evaluators must take into consideration (a) The rate of returns, (b) Excess return over risk free rate, (c) Level of systematic, unsystematic and residual risk through proper diversification.

b)      Differential Return: Another method to measure the risk adjusted performance is the differential return measure. This measure was developed by Michael Jensen. The basic objective of this technique is to calculate the return that should be expected for the fund given the realized risk of the fund and then comparing the calculated return with the actually realized return. In making this comparison, it is assumed that the investor plays a very passive role. He merely buys the market portfolio and adjusts for the appropriate level of risk by borrowing or lending at the risk free rate.

c)       Components of Performance: The first two measures stated above are primarily concerned with the overall performance of a fund. However, the more useful measure would be to assess the sources and components of performance by developing a more refined breakdown. E. Fama has provided an analytical framework to have a more detailed breakdown of the performance of the fund. This break down is done in the following three ways:

1.       Stock Selection: Overall performance of the fund can be examined in terms of superior or inferior stock selection and the normal return associated with a given level of risk. Thus, Total Excess Return = Selecting + Risk.

To earn average returns, the fund managers have to diversify. The market pays return only on the basis of systematic risk. The level of diversification can be judged on the basis of the correlation between the portfolio returns and the returns for a market portfolio. A completely diversified portfolio is perfectly correlated with the market portfolio, which is in turn completely diversified.

To earn the above average return, fund managers will generally have to forsake some diversification that will have its cost in terms of additional portfolio risk. Hence some additional return is needed for this additional diversification risk. Capital Market Line (CML) helps in determining the risk commensurate with the incurred risk.

2.       Market Timing: If investors want to maximize their returns, they must not only purchase the right security but must also know the right time to purchase and sell. To generate superior performance better than the market average, markets, have to be timed correctly. Market timing implies assessing correctly the direction of the market, either bull or bear and positioning the portfolio accordingly. When there is a forecast of declining market, the managers should position the portfolio properly by increasing the cash percentage of the portfolio or by decreasing the beta of the equity portion of the portfolio. When the forecast is of rising market, the managers should decrease the cash position or increase the beta of the equity portion of the portfolio.

3.       Cash Management Analysis: Cash management analysis was used by Farrell to assess the degree to which variations in the cash percentage around the long term average have benefited or detracted from fund performance. Two indexes were constructed for each fund by Farrell:

Ø  The first index is based on the average cash to other asset allocation experienced by the fund over the period of analysis.

Ø  The second index is based on a quarter to quarter changes experienced by the fund over the period.

Or

(b) (1) Explain the ‘Treynor index of portfolio performance.        7

Ans: The Treynor Measure

Jack L. Treynor based his model on the concept of characteristic line. This line is the least square regression line relating the return to the risk and beta is the slope of the line. The slope of the line measures volatility. A steep slope means that the actual rate of return for the portfolio is highly sensitive to market performance whereas a gentle slope indicates that the actual rate of return for the portfolio is less sensitive to market fluctuations.

The Treynor index, also commonly known as the reward-to-volatility ratio, is a measure that quantifies return per unit of risk. This Index is a ratio of return generated by the fund over and above risk free rate of return, during a given period and systematic risk associated with it (beta). The portfolio beta is a measure of portfolio volatility, which is used as a proxy for overall risk – specifically risk that cannot be diversified. A beta of one indicates volatility on par with the broader market, usually an equity index. A beta of 0.5 means half the volatility of the market. Portfolios with twice the volatility of the market would be given a beta of 2. Symbolically, Treynor’s ratio can be represented as:

Treynor's Index (Tt) = (Rt–Rf)/Bt

Whereas,

Tt = Treynor’ measure of portfolio

Rt = Return of the portfolio

Rf = Risk free rate of return

Bt = Beta coefficient or volatility of the portfolio

All risk-averse investors would like to maximize this value. While a high and positive Treynor's Index shows a superior risk-adjusted performance of a fund, a low and negative Treynor's Index is an indication of unfavorable performance. Treynor ratios can be used in both an ex-ante and ex-post sense. The ex-ante form of the ratio uses expected values for all variables, while the ex-post variation uses realized values.

Graphically Treynor’s measure is depicted as:

Example

Portfolio

Return

Volatility

Risk free Rate

A

20%

5%

8%

B

24%

8%

8%

Treynor’s index has ranked portfolio A as the better performer because value is higher (2.4 > 2.0) despite the fact that portfolio B has a higher return (24% > 20%). It is due to the difference in volatility of two portfolios.

Advantages of Treynor’s ratio:

a) The main advantage to the Treynor Ratio is that it indicates the volatility a stock brings to an entire portfolio. 

b) The Treynor Ratio should be used only as a ranking mechanism for investments within the same sector.  In a situation where rate of return from various investments alternatives are same, investments with higher Treynor Ratios are less risky and better managed.

c) It is proper measure for diversified portfolio.

d) This method is easy to calculate and simple to understand.

(2) Mr. X gives the following information of his four different investment funds:

 

A

B

C

D

Average returns

17

18

16

14

Standard deviation

10

12

12

13

Risk-free rate

9%

9%

9%

9%

According to Sharpe’s index, which fund performs well?

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