CASE STUDIES

Case study 1

Everything was going well until recently when a Public Interest Litigation from NGO accused the 80,000 outlets throughout India. The company's business is good with an annual turnover exceeding three billion rupees. Profits are good and shareholders are often rewarded with lucrative dividends and bonuses. Four years back the company diversified into the alcoholic drinks industry and took- over two small breweries located in western India. The company has also diversified into hotels with the purchase of twenty-five hotels in the three/four-star categories across the country. To its advantage, the company has been able to obtain a monopoly for the sale of its soft drinks in its hotels and is beginning to establish itself as a brand name in the brewery industry. Part of the strategy of the company is to continue to purchase hotels, particular by targeting the National Capital Region of Delhi where tourism is likely to pick up with the forthcoming Commonwealth Games. The company also intends to construct a five-star hotel in Gurgoan to take the tax advantage announced recently by the finance ministers. Everything was going well until recently when a Public Interest Litigation from NGO accused the company of indulging in surrogate advertising of its brewery products. In fact, the company has similar brand names for its soft drinks and brewery products. This triggered a lot of protests and demonstrations against the company. Newspapers were flooded with articles against the company. There were also some demonstrations and some small incidents of stone pelting in a few of its hotels.

  a.       Discuss the factors related to SWOT analyses for the company?

b.       Explain how Sweet Drinks Ltd is achieving synergy?

c.       Explain the nature of diversification adopted by the company.

 


Case study 2 

In 2013-14 PTC Food division decided to enter the fast growing (20-30% annually) snacks segment, an altogether new to it. It had only one national competitor-Trepsico's Trito. After a year, its wafer snack brand-Ringo, fetched 20% market share across the country. Ringo's introduction was coincided with the cricket world cup. The wafer snacks market is estimated to be around Rs. 250 crores. The company could take the advantage of its existing distribution network and source potatoes from farmers easily. Before the PTC could enter the market a cross-functional team made a customer survey through a marketing research group in fourteen cities of the country to know about the snacks of eating habits of people. The result showed that the customers within the age-group of 15-24 years were the most promising for the product as they were quite enthusiastic about experimenting new snack taste. The company reported to its chefs and the chefs came out with sixteen flavours with varying tastes suiting to the targeted age-group. The company decided to target the youngsters as primary target on the assumption that once they are lured in, it was easier to reach the whole family. Advertising in this category was extremely crowded. Every week two-three local products in new names were launched, sometimes with similar names. To break through this clutter the company decided to bank upon humour appeal.
The industry sources reveal that PTC spent about Rs. Fifty crores on advertisement and used all possible media-print and electronic, both including the creation of its own website, Ringoringoyoungo.com with offers of online games, contests etc. Mobile phone tone downloading was also planned which proved highly effective among teenagers. The site was advertised on all dotcom networks. Em TV, Shine TV, Bee TV and other important channels were also used for its advertisement along with FM radio channels in about sixty cities with large hoardings at strategic places. Analysts believes that Ringo's success story owes a lot to PTC's widespread distribution channels and aggressive advertisements. Humour appeal was an immense success. The `Ringo' was made visible by painting the Railway bogies passing across the States. It has also been successful to induce Lovely Brothers' Future Group to replace Trito in their Big-Bazaar and chain of food Bazaars. PTC is paying 4% higher margin than Trepsico to Future group and other retailers. Ringo to giving Trepsico a run for its money. Trito's share has already been reduced considerably. Retail tie-ups, regional flavours, regional humour appeals have helped PTC. But PTC still wants a bigger share in the market and in foreign markets also, if possible.



Answer the following questions:

1.Do SWOT analysis for the company.

2.Frame good strategies for the expansion and diversification of the company

3.What kind of marketing strategy was formulated and implemented for Ringo?

4.What else need to be done by Ringo so as to enlarge its market?

 

Case study 3 

India’s economic growth for the financial year 2016 has been estimated at 7.6 per cent as compared with the revised estimate of 7.2 per cent in the previous year, aided by growth in the manufacturing sector. If the new projection materialises, India will be the fastest growing major economy in the world, overtaking China. The latest projection is a shade better than the finance ministry’s earlier estimate of seven to 7.5 per cent.

However, the GDP growth for the third quarter of this financial year slowed to a four-quarter low at 7.3 per cent. In the second quarter, it had grown by 7.7 per cent. Growth in gross fixed capital formation, a proxy for investment, fell significantly in the third quarter, compared to the second, because of lacklustre private investments. According to data, growth figures were revised sharply upwards for the second quarter from 7.4 per cent; and from seven per cent to 7.6 per cent for the first quarter.

 To meet the revised figure of 7.6 per cent growth in the entire current year, the GDP has to increase by 7.8 per cent in the last quarter. Economic Affairs Secretary Shaktikanta Das attributed the estimated higher growth to reforms initiated by the government. However, very few economists and market experts were ready to take the official data at face value, which they said was at odds with weak exports, railway freight, cement production, investment and flat order books that pointed to weakness in the economy. “All our qualitative and quantitative data checks suggest that GDP growth decisively decelerated in FY16 as compared to FY15, whilst the GDP data is suggesting that growth accelerated in FY16,” said Ritika Mankar Mukherjee, economist, Ambit Capital.

In nominal terms, however, GDP would grow just 8.6 per cent in the current financial year, which would make the fiscal consolidation exercise of the government a tad challenging. At Rs 135.67 lakh crore GDP, fiscal deficit at 3.9 per cent means Rs 5.29 lakh crore. This is over 26,000 crore less than Rs 5.55 lakh crore estimated at the time of the Budget. The Budget had assumed the nominal GDP growth at 11.5 per cent. The Centre’s fiscal deficit already stood at Rs 4.88 lakh crore till December of the current financial year. The government will have to restrict it within Rs 41,000 crore (Rs 5.29 lakh crore minus Rs 4.88 lakh crore) in the January-March period. For the next financial year, the government will have to just narrow the gap between the expenditure and the revenue, by over Rs 13,000 crore to retain the target of 3.5 per cent of GDP on the assumption that, in nominal terms, it would also grow the same 8.6 per cent in 2016-17. This should not have been a problem for the government, caught in a dilemma of sticking to the fiscal consolidation road map or deferring it by a year more. However, the government will have to bear the extra burden of Rs 1.1 lakh crore to implement One Rank One Pension for retired Army personnel and the Seventh Pay Commission recommendations. If the government sticks to the plan, the Reserve Bank of India will find it easier to cut the policy rate to spur economic growth. Chief Economic Adviser Arvind Subramanian said agriculture has to be a focus for policy action.

 Answer the following questions

1.       Elaborate your views on growth of India and its related factors.

2.       Do a SWOT analysis of the present economic situation of India.

3.       Suggest suitable solutions to achieve the prospective growth.


Case study 4

 APPLIED OPERATIONS RESEARCH

 1.       A company produces two products. These products are processed on two different machines. The time required to manufacture one unit of each of the two products and the daily capacity of the two machines is given in the table below.

 

 

Machine

Time per unit (minutes)

Machine capacity

 

(Minutes/day)

Product 1

Product 2

M1

7

6

42

M2

4

8

32

  It is required to determine the number of units to be manufactured for each product daily. The profit per unit for product 1 and 2 is Rs. 4 and Rs. 6 respectively. Formulate the problem as a Linear Programming Problem (LPP) and solve the problem by the graphical method.

 

Case study 5 

After preparing the work breakdown structure (WBS) and creating the network diagram with their immediate predecessors for activity sequencing based on the WBS, Mr. John estimated the duration of each activity based on expert judgment and historical information of process chart to construct a new plant for a major manufacturer. The activities to be performed, their immediate predecessors, and their estimated durations are as follows:

 

 

Activity

 

Description

Immediate Predecessors

Estimated Duration

(Weeks)

A

Lay the foundation

3

B

Put up the rough wall

A

8

C

Put up the roof

A

12

D

Install the interior and exterior plumbing

B

6

E

Put up the exterior siding

B

3

F

Do the exterior painting

C

3

G

Do the electrical work

C

8

H

Put up the wallboard

D, F

5

I

Install the flooring

E

3

J

Do the interior painting

G

8

K

Install the exterior and interior fixtures

H, I, J

3

Questions:

i.   Construct the project network

ii.   Find all the paths and path lengths through this project network. Which of these paths is a critical path?

iii.   Find the earliest start time and earliest finish time for each activity.

iv.   Find the latest start time and latest finish time for each activity.

v.   Find the slack for each activity. Which of the paths is a critical path?



Case study  6

FINANCIAL MANAGEMENT

 There are two projects X and Y. X requires an investment of Rs.26, 000 while Y requires an investment of Rs.38, 000. The cost of capital is 12%. Calculate PB, ARR, NPV, PI and IRR. Use tax rate of 50% and Straight-line depreciation method

Year

Project X

Project Y

Discount

rate 12%

1

9000

8000

0.893

2

7000

10000

0.797

3

6000

12000

0.712

4

5000

14000

0.636

5

4000

8000

0.567

6

4000

2000

0.507

7

3000

16000

0.452

8

3000

 

0.404

9

3000

 

0.361

10

3000

 

0.322



Case study 7
Janaki products Ltd has two projects under consideration which are mutually exclusive. The cost of each of them is Rs. 1, 00,000. Determine which project is better based on payback period, ARR, NPV, PI and IRR methods. Tax rate 35% and use straight line depreciation method.

 

Project A (Rs.)

Project B (Rs.)

Discount rate 10%

Cash inflows

 

 

 

1

80,000

20,000

0.909

2

60,000

40,000

0.826

3

40,000

60,000

0.751

4

20,000

80,000

0.683

5

-

1,00,000

0.621



Case study 8 
 X Ltd and Y Ltd are identical except that the X Ltd uses debt while the Y Ltd does not. The levered firm (X Ltd) has issued 10% debentures of Rs. 9, 00,000. Both the firms earn EBIT of 20% on total assets of Rs. 15, 00,000. Assuming tax rate of 50% and equity capitalization rate of 15%

a.       (a) Compute the value of two firms using NI approach of Capital structure theory.

b.       (b) Compute the value of two firms using NOI approach of Capital structure theory.



Case study :9

 A pro forma cost sheet of a company provides the following data;

 

Costs(per unit):

 

Raw material

60

Direct labor

20

Overheads

40

Total costs(per unit)

120

Profit

30

Selling price

150

The following is the additional information available:

Average raw material in stock: one month, average materials in process: half a month. Credit allowed by suppliers - one month. Credit allowed to debtors - two months. Time lag in payment of wages - 2 weeks and for overhead - one month. Cash balance is expected to be Rs. 200000.

You are required to prepare a statement showing the working capital needed to finance a level of activity of 50,000 units of output. You may assume that production is carried out on evenly throughout the year and wages and overheads accrue similarly.




Case study 10 

 The V co currently has 100000 outstanding shares selling at Rs.1 each. The firm has net profit s of Rs.1000000 and wants to make new investments of Rs.2000000 during the period. The firm is also thinking of declaring a dividend of Rs.5 per share at the end of the current fiscal year. The firms opportunity cost of capital is 10%. Use MM approach of dividend. What will be price of the share at the end of the year if (1) if dividend not declared (2) if dividend declared (3) how many new shares must be issued

Case study 11

  The profit & loss account for Modern electronics Ltd is given below for 2017 and 2018.Forecast for 2019 based on percent of sales method.(Rs. In cr)

                     

Particulars

Mar '17

Mar '18

Net Sales

800

890

Cost of goods sold

610

680

Gross profit

190

210

Selling expenses

60

65

General & Administration expenses

60

52

Depreciation

50

64

Operating profit

20

29

Non operating surplus or deficit

8

10

PBIT

28

39

Interest on bank borrowings

10

11

PBT

18

28

Tax

7

10

Profit after tax

11

8



Case study 12

The present share capital of A Ltd consists of 1000 shares selling at Rs. 100 each. The company is contemplating a dividend of Rs. 10 per share at the end of the current financial year. The company belongs to a risk class for which appropriate capitalization rate is 20%. The company expects to have a net income of Rs. 25000. What will be the price of the share at the end of the year if (i) dividend is not declared (ii) if dividend is declared? Assume the company pays the dividend and has to make new investment of Rs. 48000 in the coming period, how many new shares to be issued to finance the investment programme. Use MM approach of dividend


Case study 13 

HUMAN RESOURCE MANAGEMENT



 The organization that partnered with Saigun in the case study is one of the largest retail store chains in the world. They have around 100 retail stores in India in different locations and were looking to expand further to more than 200 stores. The client had a centralized Human Resource Department located in its head office.. However, although HR processes were managed centrally, many HR tasks, policies and procedures were controlled by retail store managers or regional offices.

The client used excel sheets to exchange and compile reports from various regional offices and store. This was performed by a team of HR executives in the main head office.

 

Challenges Faced by the Retail Industry

The senior HR Manager at the client side revealed that there were many administrative and HR issues with the retail store sites. Due to high focus on sales, the Retail Store Managers has no time to focus on issues like attendance, discipline and critical HR practices. The problem areas that were identified during the discussions were:

·            Challenge 1. Irregularities in the attendance data of the staff at retail stores and other regional offices. Sometimes many of the staff did not sign the attendance register or signed intermittently. During HR audits it was found that some staff signed the attendance register only at the end of the day. Further, sometimes staff signed the register and then left their post.

·            Challenge 2. There was no mechanism to track the leave data of employees. Employees did not know their exact leave data. At the end of the year it was revealed that some employees have taken excess leave while some employees worked incessantly, creating frustration among staff.

·            Challenge 3. Salary discrepancies: HR and attendance data was used to generate data for payroll. As there were many discrepancies in HR data, these also found their way into payroll data. This created several salary discrepancies and caused numerous issues among the employees, thus lowering employee satisfaction rate and affecting the employee morale.

·            Challenge 4. Training and communication issues: As the company was growing at a fast pace, training employees on various HR procedures and policies was becoming increasingly difficult. Thus employees took decisions based on their previous experience or personal insights and created unnecessary hassles that required HR intervention.

Questions

1.   How do you analyze the problem  has a HR manager ?

      2.    Give 4 solutions to the existing problem & solve them


Case study 14 

Cadbury Pvt . Ltd :Cadbury Schweppes, one of the largest international beverage and confectionary companies, manages a diverse product portfolio with some of world's most recognizable consumer packaged goods including Cadbury chocolates, Dr Pepper, 7Up, Snapple, Dentyne and Trident.

When Ilyce Eley, compliance specialist for Cadbury Schweppes joined the company, she quickly identified a number of ways to improve the affirmative action program. She found inefficiencies in the affirmative action plan reporting processes and a lack of communication and decision support for the management team around the company's diversity initiatives.

And so began the search for a scalable software system that could not only handle a large and ever growing volume of data for AAP and other government required reports, but also one that could make that information relevant to the managers enabling them to really make a difference in the company's affirmative action and diversity initiatives.

Said Eley, "Our company has grown with recent acquisitions and the needs of our business are ever- changing, so I wanted to help build a talent base that will grow with us. With Cadbury's strong commitment to a diverse workforce, we have a team that is not only dedicated to the great products we have, but to the overall community as well."

Questions :

 

1. Analyse the problem .

 2. Explain the benefits of talent management .


Case study 15

SELECTION : Hindustan Lever Limited is a reputed multinational company. It considers selection as an event in the total process of acquiring and developing managers. The company believes that the selection process must be consistent with other events in the total process for it to be effective. Hindustan lever has been one of the most favoured companies by the prospective candidates for managerial position. The selection process of the company can be broken into three steps: such as- Screening of application forms, preliminary interview, and final selection.

 

ScreeningofApplicationsForms :

In the first step the company usually receives a large number of applications for the positions advertised or through campus interview. Thereafter such applications are screened. Such applications usually

contain brief information about the candidates. The selected candidates are then required to fill in a detailed application form. This form is quite elaborate and seeks factual information about the candidate and also about his attitudes and personality. A more strict screening of applications is made in this step. The company believes that to select a candidate it will not be enough to see the application forms only which may not be very reliable measure to select or reject the candidate. This calls for a brief preliminary interview to be held by company to get the best talents. So such interviews are conducted to interview as many candidates as is administrativelypossible.

 

Preliminaryinterview:

Preliminary interview is conducted for about ten to twenty minutes usually by one manager. During this brief personal contract, some time is spent in discussing the nature of the job, the future career possibility of the applicant and the company’s policy in this regard. Often a second interview is conducted before the applicant is rejected or selected for further consideration.

 

Final Selection:

Final selection process is quite elaborate. This stage consists of two aspects-groups discussion and final interview. Group discussion is conducted in two stages. In the first group discussion, the chairman of the panel of selectors requests the group to select a subject which can be economic, political, social educational or even a lighter subject. The subject is decided by the group itself out of the various topics given to it. When the topic is finalized, the members of the group discuss it. In the second group discussion, a case is given. The case is distributed in advance. The evaluation of the group discussion is done by a board consisting of the personnel director, the director of the division in which the applicants have to be absorbed, a senior manager of the same division, and a senior manager of other division. The board evaluates the candidates along the following factors: Style of self introduction by the candidate, his general knowledge and knowledge of his subject, clarity of thought and logic, lucidity of expression, tolerance of others views, persuasiveness and leadership qualities. Each selector is given a blank sheet to evaluate the candidates. He evaluates the candidates individually.

 

After the group discussion, personal interview is conducted by the board. On the completion of the individual interviews, the board members held discussion among themselves and then arrive at a consensus.

Questions:

1.   What type of selection should be adopted by the company?

2.   What is considered in time of screening the application forms?

3. What is the basic objective of the preliminary interview?

4.   What should be the size of groups for final selection?


Case study 16

Berkely Investments is a reputed finance company having 15 branches in different part of the country. In the home office there are more than 200 employees. This company has a performance rating under which the employees are rated at six months intervals by a committee of two executives. Graphic scales have been used as means of appraisal. The qualities considered are responsibility, initiative, and interest in work, leadership potential, co-operative attitude and community activity. After the performance is evaluated, the ratings are discussed with the concerned employees by their immediate boss who counsels them. The ratings aroused to influence promotions and salary adjustments the employees and also as a criterion for assigning further rating for them.

 Recently three employees of the company called on the company’s president to express their dissatisfaction with the ratings they had received. Their scores and composite ratings had been discussed with them. Because their ratings were comparatively low, they had been denied annual increments in salary. Approximately, two thirds of all the employees received such increments. The aggrieved employees argued that their ratings did not accurately represent their qualifications or performance. They insisted that “community activity” was not actually a part of their job and that what they do off the job is none of the company’s business. They expressed their opinion that employees should organize union and insist that salary increase be automatic.

 The threat of a union caused concern to the officers of the company. This particular experience convinced the top officers that ratings may represent a serious hazard to satisfactory relationship with employees. Even the chief executive finds that performance appraisal is a dangerous source of friction and its hazards outweigh its values; so it should be discontinued altogether.

Questions:

1.   How far do you agree with the management that performance appraisal should be discontinued?

2.   If you were the HR manager, how would you tackle the situation?

3.   What modifications would you suggest in the performance appraisal system of the company


Case study 17

MARKETING  MANAGEMENT

Six to Seven is a telecommunications company marketing state of the art telecommunications equipment. The company is currently in the process of developing a new generation type of mobile phones. When developed, this phone will enable users not only to make standard telephone calls and connect to the Web, but will have a small screen which will enable users to view the person at the other end of the line in high definition, unlike competitors’ models whose definition characteristics leave a lot to be desired. Needless to say, investment to develop the technology and market the product is substantial. As part of the development process, the company is eager to find out more about potential customers for this product. In particular, they are interested in finding out if there is a market for the product, how big this market might be, and how customers will respond to this concept. They propose hiring a specialist market research agency with skills in the area of researching buyer behaviour, particularly for new product concepts.

 

QUESTIONS

 1.   What areas of buyer behaviour should this proposed research encompass, and why?

 2.   What types of research techniques might be useful in researching these areas?


Case study 18

DERIVATIVES AND FINANCIAL RISK MANAGEMENT

1.       Calculate the optimal hedge ratio from the following data. The spot and futures prices of certain commodity are given below.

Month

Spot price

Nearby Futures price

Distant                     futures price

Jan

603

617.2 Mar

624.6 Jun

Feb

609

619.5 Mar

627.8 Jun

Mar

601

603.2 Mar

614.7 Jun

Apr

587

599.0 Jun

606.3 Sep

May

598

608.4 Jun

612.7 Sep

June

596

597.1 Jun

604.9 Sep

July

612

621.7 Sep

627.3 Dec

Aug

616

623.3 Sep

629.6 Dec

Sep

623

621.8 Sep

623.7 Dec

Oct

614

622.4 Dec

628.4 Mar

Nov

620

627.8 Dec

631.1 Mar

Dec

615

623.7 Dec

627.2 Mar

Jan

621

629.2 Mar

632.8 Jun

Feb

618

627.2 Mar

631.2 Jun

Mar

627

628.1 Mar

632.4 Jun

Apr

624

629.2 Jun

633.7 Sep

May

630

639.3 Jun

642.1 Sep


Case study 19 

 The Wheat future contract prices of the month of Sep for 20 days was given. The starting date of Sep 2 to Sep 21. The contract size is 100 quintals of wheat and price for one quintal is Rs.600. The Settlement price of the contract From Sep 2 to Sep 21 is Rs. 600, Rs. 598.20, Rs. 593.60, Rs. 594, Rs. 589.50, Rs. 584. 80, Rs. 582.20, Rs. 583.70, Rs. 577.30, Rs. 577.10, Rs. 572.40, Rs. 570.10, Rs. 568.50, Rs. 569.80, Rs. 573.80, Rs. 573.60, Rs. 577.30, Rs. 576.80, Rs. 578.80.and Rs. 578 respectively. Explain the concept of Marking to market if the initial margin Rs. 6000 and maintenance margin Rs. 4500. Find out the payoff for long and short position.

Case study 20

Explain the concept of marking to market with TCS futures for Aug 2016 if initial margin is Rs. 32,738 and maintenance margin Rs. 24,554. Find out the payoff for long and short position. The one lot size is 250 shares.

Date

Settle Price

27-May-16

2619.05

30-May-16

2682.25

31-May-16

2613.55

01-Jun-16

2678.10

02-Jun-16

2694.55

03-Jun-16

2673.10

06-Jun-16

2654.20

07-Jun-16

2672.45

08-Jun-16

2653.45

09-Jun-16

2616.50

10-Jun-16

2594.10

13-Jun-16

2583.65

14-Jun-16

2571.10

15-Jun-16

2592.95

16-Jun-16

2593.80


Case study 20

  Determine the value of call option and put option using B – S option pricing model. The share is currently selling at Rs. 124 and the standard deviation of the stock is 0.5. The option has an exercise price of Rs 130 and has 4 months to go for expiration. The risk free rate of interest is 12%.

Case study 21

  Calculate the pay-off of long put from the following data and draw the pay -off diagram

 

Underlying asset

Reliance stock

Type of option   

Put option

Style of option

European

Position

long (Buyer)

Exercise price

Rs 150 Per share

Option Premium

Rs 10 Per Share

Spot Price at expiration say: Rs 120 , Rs 130 , Rs 140 , Rs 150 , Rs 160 , Rs 170 Per share  

Case study 22

Calculate the pay-off of long Call from the following data and draw the pay -off diagram

Underlying asset

Infosys stock

Type of option   

Call option

Style of option

European

Position

long (Buyer)

Exercise price

Rs 130 Per share

Option Premium

Rs 10 Per Share

Spot Price at expiration say: Rs 100 , Rs 110 , Rs 120 , Rs 130 , Rs 140 , Rs 150 Per share.

Case study 23

Calculate the pay-off of short call from the following data and draw the pay -off diagram

Underlying

Infosys stock

Type of option   

Call option

Style of options 

European

Position 

Short (seller)

Exercise Price   

Rs 120

Option Premium

Rs 2 per share

Assume spot price at expiration is Rs 100, Rs 110, Rs 120, Rs 130, Rs 140 , Rs 150 Per share

Case study 24

The current market price of a share is Rs 155. the volatility of the share is measured as 20 % the risk-free interest rate is currently 8 % per annum. there is a call option and put option on the share. Time to expiration is 6 months with exercise price Rs 150. calculate put option price using put-call parity of call price is Rs 12.


CASE STUDY 25 

Find out put option price from the following data

Current stock price

Rs 160

Strike price

Rs 150

Call option price

18.73

Risk-Free interest rate

8 % p.a

Time to expiration

6 months

Use put -call parity relation formula.

Case study 26

Companies A and B face the following interest rates (adjusted for the differential impact of taxes):

 

A

B

US Dollars (floating rate)

LIBOR+0.5%

LIBOR+1.0%

Canadian dollars (fixed rate)

5.0%

6.5%

Assume that A wants to borrow U.S. dollars at a floating rate of interest and B wants to borrow Canadian dollars at a fixed rate of interest. A financial institution is planning to arrange a swap and requires a 50-basis-point spread. If the swap is equally attractive to A and B, what rates of interest will A and B end up paying?

Case study 26 

Consider a three-month futures contract on a particular stock Index. Further assume that the stock Index provides a dividend yield of 3% p.a the current value of the stock index is Rs 900 and the continuously compounded risk-free interest rate is 8% p.a determine future price of Index.

Case study 27

From the following data, Calculate the value of the Call option under Black -Scholes model

Current market price

Rs 165.

Exercise price

Rs 150.

Risk free rate

6 % p.a

Period

2 years

Standard deviation

15%

Case study 28

. Find the value of a one-year option from the following data

Type of option

Call Option

Style of Option

European

Current Stock Price

Rs 150

Exercise Price

Rs 160

Up factor

20%

Down Factor

10%

Risk free interest rate

9 %

Use Replicating Portfolio strategy of Binominal Model
Case study 29

Find the value of a one-year option from the following data

Type of option

Call option

Style of option

European

Current Stock Price

Rs 150

Exercise Price

Rs160

Up factor

20 %

Down factor

10 %

Option Period

one year

Risk free interest rate

9 % p.a

Use Replicating Portfolio strategy of Binominal Model

Case study 30

From the following information, calculate call option value and put option value

Current market price (S)

Rs 100 Per share

Exercise price (K)

Rs 80 Per share

Volatility of share price

30 %

Risk- free interest rate

10 % p.a

Time to expiration (T)

3 Months

Use Black -Scholes formula .

 Case study 31

The stocks underlying an index provide a dividend yield of 4% per annum, the current value of the index is 520 and that the continuously compounded risk-free rate of interest is 10% per annum. Find the value of a 3-month forward contract.

 Case study 32

A forward contract on a non-dividend paying share which is available at Rs 70, to mature in 3 months’ time. If the risk-free rate of interest be 8% per annum compounded continuously, find the price of the contract.

 Case study 33

Calculate the pay-off of Short Call from the following data and draw the pay -off diagram

Underlying asset

Infosys stock

Type of option    

Call option

Style of option

European

Position

Short  (Seller)

Exercise price

Rs 150 Per share

Option Premium

Rs 5 Per Share

Spot Price at expiration say: Rs 130 , Rs 140 , Rs 150 , Rs 160 , Rs 170 , Rs 180 Per share 

 

 Case study 34

 Calculate lower bound from the following data

Stock Price             

Rs 270

Style option            

European

Type of option         

Call

Strike Price

Rs 265 Per share

Interest rate

10 % p.a

Interest rate

6 months

Dividend

NIL

 

 Case study 35

SAPM

The expected rates of return and the possibilities of their occurrence for alpha company and Beta company scrips are given below. 

Probability of Occurrence

Return on Alpha’s Scrip

Return on Beta’s Scrip

0.05

-2.0

-3.0

0.20

9.0

6.0

0.50

12.0

11.0

0.20

15.0

14.0

0.05

26.0

19.0

If the investor invests equally in both scrip, what would be the return to the investor. 

 

 Case study 36

An investor ha7 to choose from 2 securities. the following are their rates of return and probabilities 

Q

P

Return %

probability

Return %

Probability

20

0.1

13

0.1

16

0.4

16

0.2

10

0.3

22

0.3

3

0.2

25

0.4

Which is the better security Q or P?

 

 Case study 37

The following three portfolios provide the particulars given below.

Portfolio

Average annual return

Standard deviation

Correlation co-efficient market

A

18

27

0.8

B

14

18

0.6

C

15

8

0.9

Market

13

12

---

Risk free rate of interest is 9

Rank these portfolios using Sharpe’s and Treynor’s method.

 Case study 39

Vigilant company stock is currently selling at 25 Per share. The stock is expected to pay ₹ 1 as dividend per share at the end of the next year. It is reliably estimated that the stock will be available for 29 at the end of one year.

a)   If the forecasts about the dividend and price is accurate, it is advisable to buy at the present price his required rate of return is 20%

If the investor requires 15 % return when the dividend remain constant what should be price at the end of the first year?

Case study 38

You are given the following historical performance information on the capital market and a mutual fund

Year

Mutual fund beta

Mutual fund return (%)

Return on market index (%)

Return on Government securities (%)

1

0.90

-3.00

-8.50

6.50

2

0.95

1.50

4.00

6.50

3

0.95

18.00

14.00

6.00

4

1.00

22.00

18.50

6.00

5

1.00

10.00

5.70

5.75

6

0.90

7.00

1.20

5.75

7

0.80

18.00

16.00

6.00

8

0.75

24.00

18.00

5.50

9

0.75

15.00

10.00

5.50

10

0.70

-2.00

8.00

6.00

Calculate the following risk adjusted return measures for the mutual fund:

·       Reward-to-variability ratio

·       Reward –to-volatility ratio

Comment on the mutual fund’s performance

Case study 40

If the market price of the bond increases, the yield would decline and vice versa.

Example

Bond A

Bond B

Par Value

1000

1000

Coupon rate

10%

10%

Maturity period

2 years

2 years

Market price

Rs. 874. 75

Rs. 1035. 66

·       Calculate the yield value.

Check whether the above statement is correct or not.