| 1. | (a) | Mr. Tamarind intends to invest in equity shares of a company the value of which depends upon various parameters as mentioned below: | Factor | Beta | Expected value in % | Actual value in % | | GNP | 1.20 | 7.70 | 7.70 | | Inflation | 1.75 | 5.50 | 7.00 | | Interest rate | 1.30 | 7.75 | 9.00 | | Stock market index | 1.70 | 10.00 | 12.0 | | Industrial production | 1.00 | 7.00 | 7.50 |
If the risk free rate of interest be 9.25%, how much is the return of the share under Arbitrage Pricing Theory? | 5 | (0) |
| | (b) | The current market price of an equity share of Penchant Ltd is Rs. 420. Within a period of 3 months, the maximum and minimum price of it is expected to be Rs. 500 and Rs. 400 respectively. If the risk free rate of interest be 8% p.a., what should be the value of a 3 months Call option under the "Risk Neutral" method at the strike rate of Rs.450 ? Given e0.02 = 1.0202. | 5 | (0) |
| | (c) | A Mutual Fund is holding the following assets in Rs. Crores : Investments in diversified equity shares
Cash and Bank Balances | 90.00
10.00
100.00 |
The Beta of the portfolio is 1.1. The index future is selling at 4300 level. The Fund Manager apprehends that the index will fall at the most by 10%. How many index futures he should short for perfect hedging so that the portfolio beta is reduced to 1.00 ? One index future consists of 50 units.
Substantiate your answer assuming the Fund Manager's apprehension will materialize. | 5 | (0) |
| | (d) | Mr. Tempest has the following portfolio of four shares: | Name | Beta | Investment Rs. Lac. | | Oxy Rin Ltd. | 0.45 | 0.80 | | Boxed Ltd. | 0.35 | 1.50 | | Square Ltd. | 1.15 | 2.25 | | Ellipse Ltd. | 1.85 | 4.50 |
The risk free rate of return is 7% and the market rate of return is 14%.
Required.
(i) Determine the portfolio return. (ii) Calculate the portfolio Beta. | 5 | (0) |
| 2. | (a) | X Ltd. had only one water pollution control machine in this type of block of asset with no book value under the provisions of the Income Tax Act, 1961 as it was subject to rate of depreciation of 100% in the very first year of installation. | Due to funds crunch, X Ltd. decided to sell the machine which can be sold in the market to anyone for Rs. 5,00,000 easily. | | Understanding this from a reliable source, Y Ltd. came forward to buy the machine for Rs. 5,00,000 and lease it to X Ltd. for lease rental of Rs. 90,000 p.a. for 5 years. X Ltd. decided to invest the net sale proceed in a risk free deposit, fetching yearly interest of 8.75% to generate some cash flow. It also decided to relook the entire issue afresh after the said period of 5 years. | | Another company, Z Ltd. also approached X Ltd. proposing to sell a similar machine for Rs. 4,00,000 to the latter and undertook to buy it back at the end of 5 years for Rs. 1,00,000 provided the maintenance were entrusted to Z Ltd. for yearly charge of Rs. 15,000. X Ltd. would utilise the net sale proceeds of the old machine to fund this machine also should it accept this offer. | The marginal rate of tax of X Ltd. is 34% and its weighted average cost of capital is 12%.
Which Alternative would you recommend ?
Discounting Factors @ 12% | Year | 1
0.893 | 2
0.797 | 3
0.712 | 4
0.636 | 5
0.567 |
|
| 8 | (0) |
| | (b) | A Inc. and B Inc. intend to borrow $200,000 and $200,000 in ¥ respectively for a time horizon of one year. The prevalent interest rates are as follows : | Company | ¥ Loan | $ Loan | A Inc
B Inc | 5%
8% | 9%
10% |
The prevalent exchange rate is $1 = ¥ 120.
They entered in a currency swap under which it is agreed that B Inc will pay A Inc @ 1% over the ¥ Loan interest rate which the later will have to pay as a result of the agreed currency swap whereas A Inc will reimburse interest to B Inc only to the extent of 9%. Keeping the exchange rate invariant, quantify the opportunity gain or loss component of the ultimate outcome, resulting from the designed currency swap. | 8 | (0) |
| 3. | (a) | Abhiman Ltd. is a subsidiary of Janam Ltd. and is acquiring Swabhiman Ltd. which is also a subsidiary of Janam Ltd.
The following information is given : | Abhiman Ltd. | Swabhiman Ltd. | % Shareholding of promoter
Share capital
Free Reserves and surplus
Paid up value per share
Free float market capitalization
P/E Ratio (times) | 50%
Rs. 200 lacs
Rs. 900 lacs
Rs. 100
Rs. 500 lacs
10 | 60%
100 lacs
600 lacs
10
156 lacs
4 |
Janam Ltd., is interested in doing justice to both companies. The following parameters have been assigned by the Board of Janam Ltd., for determining the swap ratio: Book value
Earning per share
Market price | 25%
50%
25% |
You are required to compute | (i) | The swap ratio. | | (ii) | The Book Value, Earning Per Share and Expected Market Price of Swabhiman Ltd., (assuming P/E Ratio of Abhiman ratio remains the same and all assets and liabilities of Swabhiman Ltd. are taken over at book value.) |
| 8 | (0) |
| | (b) | Jumble Consultancy Group has determined relative utilities of cash flows of two forthcoming projects of its client company as follows : Cash
Flow in Rs. | –15000 | –10000 | –4000 | 0 | 15000 | 10000 | 5000 | 1000 | | Utilities | –100 | –60 | –3 | 0 | 40 | 30 | 20 | 10 |
The distribution of cash flows of project A and Project B are as follows : Project A
Cash Flow (Rs.)
Probability |
–15000
0.10 |
–10000
0.20 |
15000
0.40 |
10000
0.20 |
5000
0.10 | Project B
Cash Flow (Rs.)
Probability |
–10000
0.10 |
–4000
0.15 |
15000
0.40 |
5000
0.25 |
10000
0.10 |
Which project should be selected and why ? | 8 | (0) |
| 4. | (a) | Shares of Voyage Ltd. are being quoted at a price–earning ratio of 8 times. The company retains 45% of its earnings which are Rs. 5 per share.
You are required to compute | (1) | The cost of equity to the company if the market expects a growth rate of 15% p.a. |
| (2) | If the anticipated growth rate is 16% per annum, calculate the indicative market price with the same cost of capital. |
| (3) | If the company’s cost of capital is 20% p.a. & the anticipated growth rate is 19% p.a., calculate the market price per share. |
| 3+3+2 | (0) |
| | (b) | An investor purchased 300 units of a Mutual Fund at Rs. 12.25 per unit on 31st December, 2009. As on 31st December, 2010 he has received Rs. 1.25 as dividend and Rs. 1.00 as capital gains distribution per unit.
Required : | (i) | The return on the investment if the NAV as on 31st December, 2010 is Rs. 13.00. | | (ii) | The return on the investment as on 31st December, 2010 if all dividends and capital gains distributions are reinvested into additional units of the fund at Rs. 12.50 per unit. |
| 8 | (0) |
|
| 5. | (a) | Simple Ltd. and Dimple Ltd. are planning to merge. The total value of the companies are dependent on the fluctuating business conditions. The following information is given for the total value (debt + equity) structure of each of the two companies. | Business Condition | Probability | Simple Ltd. Rs. Lacs | Dimple Ltd. Rs. Lacs | High Growth
Medium Growth
Slow Growth | 0.20
0.60
0.20 | 820
550
410 | 1050
825
590 |
The current debt of Dimple Ltd. is Rs. 65 lacs and of Simple Ltd. is Rs. 460 lacs.
Calculate the expected value of debt and equity separately for the merged entity. | 8 | (0) |
| | (b) | Tender Ltd has earned a net profit of Rs. 15 lacs after tax at 30%. Interest cost charged by financial institutions was Rs. 10 lacs. The invested capital is Rs. 95 lacs of which 55% is debt. The company maintains a weighted average cost of capital of 13%. Required, | (a) | Compute the operating income. | | (b) | Compute the Economic Value Added (EVA). | | (c) | Tender Ltd. has 6 lac equity shares outstanding. How much dividend can the company pay before the value of the entity starts declining? |
| 8 | (0) |
| 6. | (a) | The following information is given for QB Ltd. Earning per share
Dividend per share
Cost of capital
Internal Rate of Return on investment
Retention Ratio | Rs. 12
Rs. 3
18%
22%
40% |
Calculate the market price per share using
(i) Gordons formula (ii) Walters formula | 8 | (0) |
| | (b) | (i) | Mention the functions of a stock exchange. | 4+4=8 | (0) |
| | | (ii) | Mention the various techniques used in economic analysis. | | (0) |
| 7. | Answer any four from the following: | 4x4=16 | |
| | (a) | Explain the significance of LIBOR in international financial transactions. | | (0) |
| | (b) | Discuss how the risk associated with securities is effected by Government policy. | | (0) |
| | (c) | What is the meaning of: | (i) | Interest Rate Parity and |
| (ii) | Purchasing Power Parity? |
| | (0) |
| | (d) | What is the significance of an underlying in relation to a derivative instrument? | | (0) |
| | (e) | What are the steps for simulation analysis? | | (0) |
