Question Paper
Portfolio Management and Mutual Funds - II (252) : July 2006

Section D : Case Study (50 Marks)

·       This section consists of questions with serial number 1 - 5.

·       Answer all questions.   

·       Marks are indicated against each question.

·       Do not spend more than 80 - 90 minutes on Section D.

Case Study

Read the case carefully and answer the following questions:

 

1.

Explain the concept of contra investing and the possible advantages of such investing. Explain whether contra investing is really a new concept or ‘old wine in a new bottle’.

(9 marks)

< Answer >

2.

Using constant proportion portfolio insurance strategy for asset allocation as suggested by Mr.Brijesh, determine the value of investment to be made in /withdrawn from Risky Assets and Risk Free Assets for the periods January, February and March 2006. (Show the calculations separately for SBI Magnum Contra Fund and Kotak Contra Fund, assuming that investment in those funds is mutually exclusive.)

(4 + 4 = 8 marks)

< Answer >

3.

Construct a minimum variance portfolio using both SBI Magnum Contra Fund and Kotak Contra Fund.

(9 marks)

< Answer >

4.

Compare the performance of individual funds with that of portfolio constructed in Q. No. 3 above using Sharpe, Treynor and Fama measures, interpret the results and observe where there is any diversification effect.

(16 marks)

< Answer >

5.

Constant proportion portfolio insurance strategy suggested by Mr. Brijesh is one of the dynamic strategies for asset allocation. Explain how constant-proportion portfolio insurance strategy differs from buy and hold strategy.

(8 marks)

< Answer >

Mr. Roshan, a small investor in the market, who is not affordable to invest in stocks in this bull phase is planning for alternatives and is advised by a portfolio manager, Mr.Brijesh to opt for contra Mutual Funds. 

Mr. Brijesh also suggested him to adopt constant proportion portfolio insurance strategy for asset allocation, as this strategy is expected to provide positive benefits in bullish phase. The total value of assets of Mr.Roshan for investment as on January 1st 2006 was Rs.2,50,000 and  the floor value was Rs.2,00,000. The multiplier is 2.5.

Contrary investing means different things to different people. Some view it as buying or selling in the opposite direction in which the market is heading. So in this current market, a contrarian would be the one who dolefully predicts the end of the Bull Run and who has probably being doing so since the Sensex touched 12,000 points.

For the first time in India, SBI Mutual Fund launched the Magnum Contra Fund in August 1999 as part of its Magnum Sector Umbrella Funds. Other than Magnum Contra, all the other contra funds are very new. In July 2005, Kotak Mutual Fund launched Kotak Contra Fund.  Later on, Tata Mutual Fund, Chola Mutual Fund, ING Vysya A.T.M Mutual Fund, and UTI Mutual Fund also started opting for such schemes.

Here is a look at the players and the Net Asset Values of their growth schemes.

 

NAV (Rs.)

(April 27, 2006)

Launched

Chola Contra

10.76

Feb 2006

ING Vysya A.T.M

10.47

Feb 2006

Kotak Contra

  14.839

Jul 2005

Magnum Contra

35.01

Jul 1999

Tata Contra

12.17

Oct 2005

UTI Contra

10.22

Mar 2006

 

Comparative analysis of Magnum Contra Fund and Kotak Contra Fund

Mutual Fund Family

SBI Funds Management Private Limited

Kotak Mahindra Asset Mgmt Co. Ltd.

AMC Assets (Rs in cr)

27189.02

3743.68

Fund Class

Equity Diversified

Equity Diversified

Scheme Assets (Rs in cr)

89.83

36.62

Inception Date

Jul-31-1999

Jun-02-2005

Last dividend (Rs/Unit)

2.1 as on Nov-09-2004

-

Minimum Investment (Rs)

2000

5000

Entry Load

2.25%

2.25%

Exit Load

0%

0%

Load comment

Entry load 2.25% for investment upto & including Rs 50 lacs and 0.50% for investment above 50 lac & upto 2 crores.

Entry Load - 2.25% for subscriptions below Rs 2 crores, 1.25% for subcription of Rs 2 crores & above and below Rs 5 crores.

Fund Manager

Sanjay Sinha

Anand Shah

 

 

SBI Magnum Fund

Kotak Contra Fund

Asset Breakdown

Jan-31-2006

Mar-31-2006

Class

%

%

Equity

92.14

94.03

Debt

-

5.08

Mutual Funds

-

-

Money Market

-

-

Cash / Call

7.86

-

Net Receivable / Payable

-

0.89

 

Top holdings in SBI Magnum Contra Fund Portfolio as on April 28 2006

%

Hindustan Zinc Ltd.

8.97

Bharat Heavy Electricals Ltd.

4.27

Praj Industries Ltd.

4.19

Cipla Ltd.

3.96

Gujarat Ambuja Cements Ltd.

3.73

Jaiprakash Industries Ltd.

3.54

Mahindra & Mahindra Ltd.

3.48

Associated Cement Companies Ltd.

2.92

Crompton Greaves Ltd.

2.87

Shree Cement Ltd.

2.81

 

Top holdings in Kotak Contra Fund Portfolio as on March 31 2006

%

Steel Authority of India Ltd.

5.75

Tata Steel Limited

5.73

Sterlite Industries (India) Ltd.

5.55

Punjab National Bank

3.90

Hindalco Industries Ltd. Partly Paid shares

3.77

Aditya Birla Nuvo Limited

3.56

Jaiprakash Associates Ltd.

3.36

Coromandel Fertilisers Ltd.

3.34

EID Parry (India) Ltd.

3.33

Alembic Ltd.

3.13

Ultratech Cement Ltd.

2.96

Raymond Limited

2.90

I-Flex Solutions Limited

2.74

Nahar Spinning Mills Ltd.

2.65

Nitco Tiles Ltd.

2.54

Tata Chemicals Ltd.

2.42

Nestle India Ltd.

2.29

TATA Metaliks Ltd.

2.15

 

 

SBI Magnum Contra NAV (Rs.)

Kotak Contra NAV (Rs.)

BSE NATEX

31 March 2006

32.26

13.86

5897.24

28 February 2006

28.43

12.467

5422.67

31 January 2006

27.08

12.262

5224.97

30 December 2005

24.92

11.664

4953.28

30 November 2005

24.10

10.87

4649.87

31 October 2005

21.53

9.967

4159.59

30 September 2005

23.04

10.893

4566.63

31 August 2005

21.91

10.799

4184.83

29 July 2005

19.87

10.352

4072.15

 

Treasury Bills are trading in the market at a rate of 6% p.a.

 

 

END OF SECTION D

 

Section E : Caselets (50 Marks)

·       This section consists of questions with serial number 6 - 11.

·       Answer all questions.

·       Marks are indicated against each question.

·       Do not spend more than 80 - 90 minutes on Section E.           

Caselet 1

Read the caselet carefully and answer the following questions:

 

6.

According to the caselet, the portfolio manager of a Portfolio Management Service (PMS) has an investment approach different from mutual fund or pension fund managers, as there is a unique portfolio for every client.  Briefly explain the salient features of portfolio management style of PMS.

(8 marks)

< Answer >

7.

According to the caselet, taking the specialized services of a portfolio manager has several advantages. Explain the possible advantages that accrue to a high net worth investor when he invests through a PMS?

(9 marks)

< Answer >

“If you don't know who you are, the stock market is an expensive place to find out.”

–George Goodman

This is true for all those who have a sizable amount to invest in the capital markets, but do not possess the financial knowledge and the ability needed to do so. So do you have extra money, and looking for ways to increase the wealth by investing somewhere, but have no clue about investments?  If yes, Portfolio Management Service (PMS), a hot new service, is the right one for you.

A Portfolio Management Scheme is one where your funds are managed separately for you. In a Mutual Fund (MF), the funds are pooled and then common investments are made. There is no client-wise segregation of portfolios in mutual funds. Sure, one can invest in mutual funds to maintain a well-diversified portfolio, but PMS offers many more advantages over mutual fund investments.

People who are not financially savvy, but would like to invest in the capital markets should avail this service. Such people usually invest in mutual funds and tend to pay very high costs, and sometimes also see a decrease in their portfolio size. In addition to this, they try to chase performance sectors by investing in high-risk sectoral funds. Hence, taking the specialized services of a portfolio manager has several advantages.

Individual investors can access a multitude of investment avenues available in the market: From direct investment in equities to mutual fund investments and fixed deposit schemes. However, when you have a large amount of money to invest, usually upwards of Rs. 5 lakh, a point where the portfolio size achieves a critical mass, and where you can have a dedicated portfolio manager managing your portfolio, you can save on brokerages and fees to various brokerages and fund houses, and manage portfolio risk along with undertaking growth investing.

Portfolio Management Services (also known as private Portfolio Management, Equity Advisory services or Wealth Management Services) are highly specialized services that are tailor-made for the needs of the client.

These services entail that the management company assigns a dedicated portfolio manager to one large client or some smaller clients (these clients are high net worth individuals or HNIs). The account of the client is managed by a relationship manager on the front-end. The relationship manager interacts with the investor and acts as a single point reference for all interactions with the firm. It is the portfolio manager at the back­end who manages the portfolio. The portfolio manager of a PMS has an investment approach different from mutual fund or pension fund managers. As we know, there is a unique portfolio for every client, so there are certain peculiarities in this portfolio management style.

 

Caselet 2

Read the caselet carefully and answer the following questions:

 

8.

According to the caselet, convexity as a measure of the interest rate sensitivity is superior to duration. Explain.

(8 marks)

< Answer >

9.

As the time passes on, the effects of coupon payment and time to maturity on the duration of the bond are conflicting in nature. Explain, how do these two factors influence the duration of bond individually as well as collectively.

(9 marks)

< Answer >

Duration and convexity have traditionally been used as tools for asset liability management. To avoid exposure to parallel spot curve shifts, an organization (such as an insurance company or defined benefit pension plan) with significant fixed income exposures might structure its assets so that their duration matches the duration of its liabilities—so the two offset. This technique is called duration matching. Even more effective (but less frequently practical) is duration-convexity matching, in which assets are structured so that durations and convexities match.

Specifically, duration can be formulated as the first  derivative of the price function of the bond with respect to the interest rate in question. Then the convexity would be the second derivative of the price function with respect to the interest rate. The price sensitivity to parallel interest rate shifts is highest with a zero-coupon bond, and lowest with an amortizing bond (where the payments are front-loaded). Although the amortizing bond and the zero-coupon bond have different sensitivities at the same maturity, if their final maturities differ so that they have identical bond durations they will have identical sensitivities. That is, their prices will be affected equally by small, first-order, (and parallel) yield curve shifts. They will, however start to change by different amounts with each further incremental parallel rate shift due to their differing payment dates and amounts.

Convexity is also useful for comparing bonds. If two bonds offer the same duration and yield but one exhibits greater convexity, changes in interest rates will affect each bond differently. A bond with greater convexity is less affected by interest rates than a bond with less convexity. Also, bonds with greater convexity will have a higher price than bonds with a lower convexity, regardless of whether interest rates rise or fall.

Convexity is a risk management figure, is superior to duration and is used similarly in the way gamma is used in derivatives risks management; it is a number used to manage the market risk a bond portfolio is exposed to. If the combined convexity of a trading book is high, so is the risk. However, if the combined convexity and duration are low, the book is hedged, and little money will be lost, even if fairly substantial interest movements occur.

 

Caselet 3

Read the caselet carefully and answer the following questions:

 

10.

According to the caselet, there is a need felt for new theories because the behavior of the investor is more dynamic and complex than the rational investor, which is defined in the traditional theories. Explain the various possible factors responsible for the changing behavior of the investors.

(7 marks)

< Answer >

11

According to the caselet, an alliance with a wrong advisor can be considered as a catastrophe and selecting a right advisor is the job of the investor. Explain the possible situations under which there is a need to change the wealth manager.

(9 marks)

< Answer >

Questions such as how much to spend and how much to save cannot be answered easily. Thus the need for a financial advisor, who is skilled to understand the goals and the constraints of the investors, arises. Thus, managing wealth needs expertise and experience.

Wealth management is an integrated plan utilizing an array of capabilities that encompass planning, investment management, trust services and private banking. In other words, wealth management is a professional service, which is a combination of financial and investment advices, accounting and tax services, estate management and administration, succession planning and legal planning, for a fee. The management of wealth is a vibrant process. Wealth gives rise to uncommon challenges as well as unique opportunities. It needs experience, capabilities and expertise that enable the customer to understand the challenges and gain from these opportunities. Market ripples, portfolio swings, changes in tax and estate laws make the task of managing the client's' investment more difficult. Investing in long-term investment plans is not as simple as pertaining the wealth to banks or fixed deposits. Investments are affected by a host factors like interest rates, inflation, economic developments, political issues, etc.

Planning for retirement, saving for children's education, arranging enough liquidity to buy a house, inclination to maximize the investment returns are some of the reasons why people spend less than what they earn. Managing wealth is not only restricted to regular investment and savings, but also concerned with housing finance, mortgages, solutions for asset management after the demise, legal management of will and healthcare planning. Thus, the functions of wealth manager are evolving and taking a new shape. They have to perform various roles and responsibilities for managing the wealth of their client.

Wealth management is mostly required for the clients who have enough wealth, known as High Net-Worth Individuals (HNWIs). According to a Merrill Lynch and Capgemini report, the HNWI wealth grew at over 8% and stood at US$30.8 mn in the year 2004. The number of millionaires grew over by 7% or 600,000 to 8.3 million worldwide. The increase in wealth across the world can be attributed to rising stock market indices, higher earnings and more disposable income.

The wealth manager has to develop the strategy based on each client's risk appetite. If the strategy is aggressive, the chance of exceeding a high goal is good. Comparisons and summaries about the financial goal of investors help to make a proper and precise investment decision-making. A wealth manager makes projections of investors while determining the most appropriate level of savings and spending. To form a proper strategy, a wealth manager should be precise in estimating security risks, returns and correlations between each security.

But the question is how a wealth manager will be able to decide about the characteristics and estimates of an investor for an appropriate strategy to be formed?" The question can be answered by applying Capital Market Theory. The theory usually aims at pricing assets, equity shares or assets in terms of the trade-off between risks and return that clients are looking for. But how far is this theory relevant to the daily portfolio advisor? Nawrocki in one of his research papers replied the question in affirmatively. He explained that "the practitioners use capital market theory each time they put together a financial plan, a retirement plan or an investment plan for a client". He further elaborated that "capital market theory is an important input for financial decision-making, therefore, an understanding of capital market theory is an important aspect in the training of a financial professional but unfortunately for the finance professional trying to stay current in the field, capital market theory is in the process of changing from traditional models to newer theories". There is a need felt for new theories because the behavior of the investor is more dynamic and complex than the rational investor, which is defined in the traditional theories.

The role played by the wealth manager is vital to both the wealth management company and the investor. An alliance with a wrong advisor can be considered as a catastrophe. Thus, selecting a right advisor is the job of the investor only.

END OF SECTION E

 

END OF QUESTION PAPER

 


 

Suggested Answers
Portfolio Management and Mutual Funds - II (252) : July 2006

Section D : Case Study

1.

Contra investing is a way of investing where by the Fund Manager uses an approach, which is different from the conventional style of investing. It means using unconventional wisdom to create wealth. In other words Contrarian investing is investing in securities of companies, which are currently out-of-favour. Contrarian investing or investing contrary to the market, means investing in these fundamentally strong, temporarily under-valued companies, in order to benefit when the market recognizes their true worth.

Often prices of certain stocks maybe at a low due to extreme investor reaction towards a company based on recent news or information such as poor results, adverse publicity, legal issues or any negative information all of which may create doubts / apprehension about company's future prospects.

Many think that a contrarian would always go against the majority - that a contrarian investor is acting differently from the current market trend. Thinking the contrarian way means training one's mind to dwell in directions opposite to general public opinion. Contrarians stand against the common wisdom in the hope of making a profit.

·         Opportunity to invest in potentially sound companies which may be in out of favour sectors

·         Potential for higher value creation when market recognises their fundamental value

·         Scope for investing in a particular sector which the market overlooks

·         Lower downside risk for investors, as often these stocks are available at valuations lower than their intrinsic value.

·         Acts as a hedge for an Equity portfolio

·         Good blend of value investing and aggressive growth

·         To diversify your portfolio by adopting a contrarian strategy

No market capitalization restrictions.

Traditionally, the very purpose of fundamental analysis or fundamental investor is to purchase undervalued stocks and to sell overvalued stocks. This is what contra investing also explains. Hence, it can be said that contra investing is not at all a new concept.  

< TOP >

2.

SBI Magnum Contra Fund

                                                                                                                                                                                (Rs.)

Date

NAV

The value of Risky Asset

The value of Risk free Asset

Total Assets

Floor

Cushion

Investment in Risky Asset

Investment in Risk free asset

Buy (Sell) Stock

Buy (Sell) Risk free asset

 

A

B = Previous G × (Current NAV/
Previous NAV)

C = Previous H (1+0.5%)

D = (B+C)

E = Previous E (1+0.5%)

F
= (D – E)

G
= F × 2.5 (Multiplier)

H = (D-G)

I
= (B -G)

J = (C-H)

Dec

24.92

-

-

250000

200000

50000

125000

125000

Jan

27.08

135834.67

125625.00

261459.67

201000

60459.67

151149.18

110310.49

15314.51

(15314.51)

Feb

28.43

158684.31

110862.05

269546.36

202005

67541.36

168853.39

100692.97

10169.08

(10169.08)

Mar

32.26

191600.79

101196.43

292797.22

203015

89782.19

224455.48

68341.74

32854.69

(32854.69)

 

Kotak Contra Fund

                                                                                                                                                                                (Rs.)

Date

NAV

The value of Risky Asset

The value of Risk free Asset

Total Assets

Floor

Cushion

Investment in Risky Asset

Investment in Risk free asset

Buy (Sell) Stock

Buy (Sell) Risk free asset

 

A

B = Previous G × (Current NAV/
Previous NAV)

C = Previous H (1+0.5%)

D = (B+C)

E = Previous E (1+0.5%)

F
= (D – E)

G
= F × 2.5 (Multiplier)

H = (D-G)

I
= (B -G)

J = (C-H)

December

11.664

-

-

250000

200000

50000

125000

125000

-

-

Jan

12.262

131408.61

125625

257033.61

201000

56033.61

140084.02

116949.59

8675.41

8675.41

Feb

12.467

142425.99

117534.34

259960.32

202005

57955.32

144888.31

115072.01

2462.32

2462.32

Mar

13.86

161077.4

115647.37

276724.78

203015

73709.75

184274.38

92450.4

23196.98

23196.98

< TOP >

3.

 

Date

RS (%)

(RS )

(RS-)2

RK (%)

(RK)

(RK -)2

(RS-) (RK -)

July

 

 

 

 

 

 

 

August

10.27

3.85

14.82

4.32

0.44

0.19

1.69

September

5.16

-1.26

1.59

0.87

-3.01

9.05

3.79

October

-6.55

-12.97

168.24

-8.50

-12.38

153.24

160.56

November

11.94

5.52

30.47

9.06

5.18

26.85

28.60

December

3.40

-3.01

9.09

7.30

3.43

11.74

-10.33

January

8.67

2.25

5.07

5.13

1.25

1.56

2.81

February

4.99

-1.43

2.05

1.67

-2.21

4.87

3.16

March

13.47

7.05

49.77

11.17

7.30

53.22

51.47

Total

51.33

 

281.09

31.02

 

260.72

241.76

Average

6.42%

 

 

3.88

 

 

 

Variance of SBI Magnum Fund  = 281.09/7 = 40.16 (%)2

Variance of Kotak Fund  = 260.72/7 = 37.25 (%)2

Covariance between SBI Magnum and Kotak  = 241.76/7 = 34.54 (%)2

Minimum variance portfolio =

         WS    =      

                   =       = 0.3253 = 32.53%

         WK    =       1 – 0.3253 = 0.6747 = 67.47%.

 

< TOP >

4.

Return on minimum variance portfolio

Date

RS (%)

RK (%)

(0.3253× RS + 0.6747× RK) (%)

August

10.27

4.32

6.25

September

5.16

0.87

2.27

October

-6.55

-8.50

-7.87

November

11.94

9.06

10.00

December

3.40

7.30

6.04

January

8.67

5.13

6.28

February

4.99

1.67

2.75

March

13.47

11.17

11.92

 

Date

RM (%)

( RM)

( RM -)2

RP (%)

(RP -)

(RP -)2

( RM -) × (RP -)

( RM -) × (RS -)

(RM  -

(RK-)

July

 

 

 

 

 

 

 

 

 

August

2.77

-2.15

4.61

6.25

1.55

2.40

-3.33

-8.26

-0.94

September

9.12

4.21

17.72

2.27

-2.44

5.95

-10.27

-5.30

-12.66

October

-8.91

-13.83

191.19

-7.87

-12.57

158.04

173.82

179.35

171.16

November

11.79

6.87

47.24

10.00

5.29

28.00

36.37

37.94

35.62

December

6.53

1.61

2.60

6.04

1.33

1.77

2.15

-4.86

5.52

January

5.49

0.57

0.33

6.28

1.57

2.48

0.90

1.29

0.71

Febraury

3.78

-1.13

1.28

2.75

-1.95

3.82

2.21

1.62

2.49

March

8.75

3.84

14.73

11.92

7.22

52.09

27.70

27.08

28.00

TOTAL

39.31

 

279.69

37.63

 

254.55

229.56

228.84

229.90

Average

4.91

 

 

4.70

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Market variance                                                                                   =              279.69/7 = 39.96(%)2

Market standard deviation                                                                 =              6.32%

Variance of minimum variance portfolio                                           =              254.55/7 = 36.36(%)2

Standard deviation of minimum variance portfolio                                                                                                      =         6.03%       

Covariance between market and minimum variance portfolio       =              229.56/7 =32.79 (%)2

Beta of minimum variance portfolio                                                  =              32.79/39.96 = 0.82

Covariance between SBI Magnum and market                               =              228.84/7 =32.69 (%)2

Beta of SBI Magnum                                                                           =              32.69/39.96 = 0.82

Covariance between market and Kotak Contra                               =              229.90/7 =32.84 (%)2

Beta of Kotak Contra                                                                           =              32.84/39.96 = 0.82

Standard deviation of SBI Magna Fund                                          =              6.34%

Standard deviation of Kotak Fund                                                    =              6.10%

 

 

SBI

KOTAK

PORTFOLIO

Sharpe’s measure
((RS-RF)/σS)

(RS-RF)/σS

=((6.42-0.5)/6.34= 0.93

((RK-RF)/σK) = (3.88-0.5)/6.1=0.55

((RP-RF)/σP) = (4.7-0.5)/6.03 =0.70

Treynor’s measure

(RS-RF)/βS = (6.42-0.5)/0.82=7.22

(RS-RF)/βK =(3.88-0.5)/0.82 =4.12

(RS-RF)/βP = (4.7-0.5)/0.82 =5.12

Fama’s measure

 

 

 

Required Return

RF + βS (RM-RF) = 0.5+0.82(4.91-0.5)=4.12

RF + βK (RM-RF)= 0.5+0.82(4.91-0.5)=4.12

RF + βP (RM-RF)=0.5+0.82(4.91-0.5)=4.12

Total Selectivity

(6.42- 4.12)= 2.3

(3.88-4.12) = -0.24

(4.7-4.12) = 0.58

Net Selectivity

RS – (RF +  (RM- RF ) σS / σM =6.42-(0.5+(4.91-0.5)6.34/6.32) =1.5

RK – (RF +  (RM- RF ) σK / σM =3.88-(0.5+(4.91-0.5)6.1/6.32)=-0.88

RP – (RF +  (RM- RF ) σP / σM  =4.7-(0.5+(4.91-0.5)6.03/6.32) =  -0.01

 

Interpretition : Ranking is same for all funds under three measures. Required rate of return on three funds is same as beta value is same for all. However, total selectivity is high for SBI Magna fund followed by combined portfolio and is negativefor kotak. Similarly superio stock selection skills are visible in case of SBI Magna Fund and negative in case of Kotak. However, the SBI Magna Fund was in existence since 1999, whereas Kotak fund is less than one year old. It can be conclued that there is no significant decrese in risk (standard deviation) even with the minimum variance portfolio. There is no much diversification effect, as there is negligible reduction in standard deviation and no change in beta.

 

< TOP >

5.

Buy and Hold Strategy : A buy-and-hold strategy is featured by an initial mix say 60% stock and 40% treasury bills, which is initially bought and then held.  These can be termed as minimum risk and maximum return strategies. In fact, these strategies do not require regular rebalancing, and they are even easy to analyze.

·           The relationship between the portfolio’s value and the stock market’s value is linear.

·           The value of the portfolio directly proportional to the value of the stock market, the slope being equal to the proportion of stock in the mix.

·           The value of the portfolio will not fall below the value of inlitial investment in bills.

Constant proportion portfolio insurance: The constant proportion portfolio insurance strategy is a constant proportion strategy with multipliers greater than one. The implementation of this strategy calls for selection of the multipler and a floor below which he does not want the portfolio value to fall. The floor actually grows at the rate of retun on bills, and should be less than one at the initial stage. The value of investment in risky assets is equal to the product of multiplier and cushion (total assets – floor). When the market is bullish, the CPPI strategy peroforms well. It involves buying stocks as their prices rise with the divestment of funds in bills. When the market is bearish, it involves the sale of stock and reinvestment of proceeds in bills to ensure that the value of total assets does not below floor.

Thus, buy and hold strategy results in pay-off diagrams that are straight lines. Constant proportion portfolio insurance strategy concave strategies, as the stock is bought when the price rises and sold when price falls.

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Section E: Caselets

Caselet 1

6.

1.      Prudent, long-term approach: The portfolio managers' investment philosophy should be to provide prudent, long-term performance consistent with clients' objectives and risk profile. He needs to select core holdings of high quality investments at reasonable prices to provide capital appreciation.

2.      Controlled risk through broad diversification: Risk control is a very important feature for constructing the client's portfolio. A portfolio manager manages risk through broad diversification in various asset classes, and if need be, invests in foreign markets as well.                .

3.      Strategic as well as opportunistic investments: Even while the portfolio manager makes long-term strategic investments, he also takes advantage of opportunities that dynamic markets provide.

4.      A tax-efficient investment strategy: Since the post-tax return is the true measure of performance for taxable investors, and those going for PMS are usually high net worth investors, achieving the best post-tax rate of return is reflected in the investment approach of the portfolio manager.

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7.

·           Individual attention to a client’s portfolio is the main advantage in a PMS.

·           Management by professionals with vast experience and knowledge of markets.

·           Quick decision-making as the portfolio manager takes all decisions pertaining to the kind of investments and its entry/exit time.

·           Customized portfolio based on client's risk-return appetite.

·           Transparency through reports on a regular basis.

·           Efficient back-office management. Investments, bank accounts, demat accounts, etc., are handled directly by the PMS.

·           PMS offers flexibility. Investors can enter any time and keep on adding money on a regular basis like in a systematic investment plan. Withdrawals to meet regular requirements too can be planned through a PMS. And, as there is no lock in, investors can exit at any time.

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Caselet 2

8.

Duration is a linear measure of how the price of a bond changes in response to interest rate changes. As interest rates change, the price is not likely to change linearly, but instead it would change over some curved function of interest rates. In other words, for any given bond, a graph of the relationship between price and yield is convex. This means that the graph forms a curve rather than a straight-line (linear). The degree to which the graph is curved shows how much a bond's yield changes in response to a change in price. The more curved the price function of the bond is, the more inaccurate duration is as a measure of the interest rate sensitivity. Thus, convexity which is a measure of the curvature of how the price of a bond changes as the interest rate changes, provides better results as a measure of interest rate sensitivity.

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9.

The term duration has a special meaning in the context of bonds. It is a measurement of how long, in years, it takes for the price of a bond to be repaid by its internal cash flows. In case of coupon paying bonds, it is important to note, that duration changes as the coupons are paid to the bondholder. As the bondholder receives a coupon payment, the amount of the cash flow is no longer on the time line, which means it is no longer counted as a future cash flow that goes towards repaying the bondholder.

Duration increases immediately on the day a coupon is paid, but throughout the life of the bond, the duration is continually decreasing as time to the bond's maturity decreases.

This shortening of the time line, however, occurs gradually, and as it does, duration continually decreases. So, in summary, duration is decreasing as time moves closer to maturity, but duration also increases momentarily on the day a coupon is paid and removed from the series of future cash flows – ultimately the net effect of both time to maturity and coupon payment is decrease in duration.

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Caselet 3

10.

Firstly, with the increasing wealth, the investor's risk appetite will increase and thus cause a change in his behavior. Secondly, the time horizon of investment decides the need for liquidity, hence an investor with longer investment horizons does not need immediate liquidity and he can wait for an asset with a modest return to recuperate. Thirdly, an investor has multiple investment goals and she classifies such goals based on their importance. Fourthly, investors do not maximize the outcome of their investment strategies. They will rarely engage in the exhaustive search required for an optimal solution. Finally, there is a lack of information to the investor, because of the cost of information.

The various factors, as explained above, affect the behavior of the investors and the wealth manager to properly define, understand and identify the true nature of the investors.

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11.

An association with the wrong investment advisor can spell disaster for investors. It is time to change your investment advisor, if

1.      The advisor only recommends the season’s favor

If your investment advisor recommends only the season’s flavor   without paying much attention to your investment goals and risk consideration, in such a  case it is possible that the advisor is more interested in receiving commission than in your investment objectives.

2.      The advisor convinces you that a Rs.10 NAV is cheaper

Just by comparing mutual fund New Public Offers (NPOs) with equity Initial Public Offers (IPOs), advisors can do enormous damage to their investors.

3.      The advisor’s Unique Selling Proposition (USP) is ‘commission offered’

It is a universally followed practice that the advisor refunds to the client a part of the earnings that he gets as commission. Thus, wealth should be created by investment rather than by commissions.

4.      Lump sum investing is the consistent advice offered.

When the markets are on high, if the advisor advises you to invest lump sum amount, then he is ambitious and positive or he fails to comprehend the market behavior. In both the cases, it could be harmful to the investor’s cause.

5.      Advisor’s role is restricted to delivery and pick up of forms

 An investment advisor’s role should include building the investor’s portfolio by paying greater attention to goals, risk profile and time horizon. Delivering services should follow later.

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