1. | (a) | In each of the cases given below one out of four alternatives is correct. Indicate the correct answer (= 1 mark) and give working/reasons briefly in support of your answer (= 1 mark): | 2x5=10 | |
| | (i) | MELANIN LTD. issues right shares which increases the market value of the shares of the Company by Rs.100 crore. The aggregate market value of all the shares included in the index before the right issue made is Rs.2000 crore. If the base year average for calculating the index number for a period starting from the time the right issue is made till the next base year change becomes necessary is Rs.1000, what is the existing base year average? A. | Rs.10054.94 crore | B. | Rs.952.38 crore | C. | Rs.948.88 crore | D. | None of (A), (B), (C) | | | (0) |
| | (ii) | RAVI SHANKAR holds a portfolio consisting two stocks–stock A and stock X. Stock A has a standard deviation of returns of 0.6 and stock X has a standard deviation of 0.8. The correlation co–efficient of the two stock returns is 0.50. If Ravi Shankar holds equal amount of each stock, what will be risk of the portfolio consisting two stocks? A. | 0.40 | B. | 0.52 | C. | 0.61 | D. | None of (A), (B), (C) | | | (0) |
| | (iii) | The TATA TEA trades on the spot market at Rs.855. The cost of financing is 12 per cent per year. It is expected to pay a dividend of Rs.10, 45 days later. What is the fair value of a 90 days future on Tata Tea (rounded up to nearest rupees)? – Assume day count basis as actual/365. [Given: FVIF (12%, 0.2466 years) = 1.0283 and FVIF (12%, 0.1233 years) = 1.0141]. A. | Rs.869.00 | B. | Rs.879.00 | C. | Rs.896.00 | D. | Rs.899.00 | | | (0) |
| | (iv) | The covariance between the return on the stock of ARIHANT LTD. and the return on the market index is 96%. If the variance of the return on market index is 60%, what will be the systematic risk of Arihant Ltd. stock? A. | 165.70% | B. | 160.36% | C. | 153.60% | D. | Insufficient information | | | (0) |
| | (v) | In November 30, 2009, a six–month call on MORTION LTD.’s stock with an exercise price of Rs.50, sold for Rs.10. The stock price was Rs.40. The risk–free rate was 5% per annum. How much would you be willing to pay for a put on Morton Ltd.’s stock with the same maturity and exercise price? [Given: e–rt=e–0.05x0.5=0.9753] A. | Rs.14.76 | B. | Rs.16.00 | C. | Rs.18.76 | D. | None of (A), (B), (C) | | | (0) |
| (b) | Choose the most appropriate one from the stated options and write it down. (Only indicate A, B, C, D as you think correct): | 1x5=5 | |
| | (i) | When an existing listed company either makes a fresh issue of securities to the public or makes an offer for sale of securities to the public for the first time, such issues are called A. | Initial public offer | B. | Follow on public offering | C. | Green shoe option | D. | None of (A), (B), (C) | | | (0) |
| | (ii) | MR.ANAND an employee of GIRITA LTD. was not able to earn profit from the information he had about the likely profit figure for the company, even after trying for an extended period of time. This means that the market is A. | Week form of market efficiency | B. | Semi–strong form of market efficiency | C. | Super strong form of market efficiency | D. | Inefficiency of market | | | (0) |
| | (iii) | Book–building process is different from fixed price process for raising share capital from public. Which of the following statements is/are true about book–building process? A. | Price at which securities will be offered/allotted is not known in advance to investor. Only an indicative price range is known. | B. | Demand for the securities offered can be known everyday. | C. | Payment is made at the time of subscription | D. | Both (A) and (B) above | | | (0) |
| | (iv) | The responsibility for regulating the securities market is shared by A. | Department of Economic Affairs and RBI | B. | Ministry of Company Affairs and SEBI | C. | Both (A) and (B) above | D. | Government of India | | | (0) |
| | (v) | Every stock exchange desirous of being recognised for the purpose of the Securities Contracts (Regulation) Act, 1956 has to make an application in A. | Form A | B. | Form A–3 | C. | Form B–1C | D. | Form B–10 | | | (0) |
| (c) | State whether each of the following statements is TRUE (T) or FALSE (F): | 1x5=5 | |
| | (i) | Every Depository Participant is required to be registered with the Securities and Exchange Board of India. | | (0) |
| | (ii) | Security Market Line (SML) shows the relationship between return on the stock and Return on market portfolio. | | (0) |
| | (iii) | The IRDA has permitted withdrawal of surrender value of a new ULIP by the client only after completion of 2 policy years. | | (0) |
| | (iv) | As per the IT Act 2000, the Cyber Law of India, an e–mail is not an acceptable form of approved evidence towards receipt of communication from a person. | | (0) |
| | (v) | The Banking Ombudsman Scheme 2006 will not enable aggrieved customers to appeal against any Ombudsman’s decision. | | (0) |
2. | (a) | The Stock of APTECH LTD. (A.L.) is currently trading at Rs.597.12 and PUT Option exercisable in three months time has an exercise rate of Rs.600. The standard deviation of the continuously compounded stock price change for Aptech Ltd. is estimated to be 22 per cent per year. The annualised Treasury Bill rate corresponding to this option life is 5%. Required: What is the value of a three month PUT OPTION on the stock of APTECH LTD. (Using Black and Scholes Model)? Note: Extracted from the Tables: 1. | Natural Logarithms: In (0.9952) = –0.00481, In (1.0048) =0.00789. | 2. | Value of e-x: e-0.01=0.99010, e-0.0125=0.98758. | 3. | Cumulative standardized normal probability distribution: NCX When X ≥ O : N (0.125) = 0.5498, N(0.015)=0.5060 When X ≤ O : N (–0.125)=0.4502, N(–0.015) = 0.4940. | | 3+1+4=8 | (0) |
| (b) | Based on the credit rating of the bonds MR.ANUP has decided to apply the following discount rates for valuing bonds. Credit rating | Discount | A A A A A A | 364–day T–bill rate + 3% spread AAA+2% spread AAA+3% spread |
He is considering to invest in a AA rated, Rs.1000 face value bond currently trading at Rs.1026–50. The bond has five years to maturity and carries coupon at 12% p.a. payable annually. The next interest payment is due one year from to–day and the bond is redeemable at par. (Assume the 364–day T–bill rate to be 6%.) You are required to: (i) | Calculate the Intrinsic value of the bond for Mr. Anup; | (ii) | Calculate the current yield (CY) and the yield to Maturity of the bond (YTM). | Note: (i) Ignore Floatation Costs and transaction Costs; (ii) Extracted from the table of PV. Interest Rate PVIFA (5 years) PVIF (5 years) | : : : | 6% 4.212 0.747 | 8% 3.993 0.681 | 9% 3.890 0.650 | 11% 3.696 0.593 | 12% 3.605 0.567 | | 2+4=6 | (0) |
| (c) | Listing of securities on the Stock Exchange is advantageous to the Company as well as to the investors. – Discuss. | 3+3=6 | (0) |
3. | (a) | Describe the grounds on which an ombudsman can reject complaints lodged with him, under the Banking Ombudsman Scheme, 2006. Can an appeal be filed against such a rejection and if so to whom and will him what time limit? | 4+2=6 | (0) |
| (b) | An analyst at ASHEEKA SECURITIES LTD is considering the stocks of Spark Ltd. and Sunray Ltd. for investment. Expected returns on these stocks depends on the growth rate of the GDP. The conditional returns of the market and the excess returns of the stocks over the return on market are given below: Economic Scenario | Probability | Excess Return in % | Return on | (G.D.P. Growth rate) | | Spark Ltd. | Sunray Ltd. | Market in % | Less than 1.00% 1.0–2.5% 2.5% – 5.0% 5.0–7.0% More than 7.0% | 0.03 0.10 0.27 0.20 0.40 | 15 9 0 –2 –5 | 41 20 –10 –21 –34 | –20 –5 10 20 30 |
The expected risk–free return is 5.60 per cent. Assume that CAPM holds good in the market. You are required to: (i) | Calculate the ex–ante betas for the two stocks; | (ii) | Find out whether the stocks of Spark Ltd. and Sunray Ltd. are underpriced or overpriced; | (iii) | Determine the proportions of systematic risk and unsystematic risk in the two stocks. | (iv) | Determine which stock the analyst would suggest to invest, if he is required to select only one stock, justify. | | 6+3+3 +2=14 | (0) |
4. | (a) | The settlement price of DECEMBER NIFY Futures contract on a particular day was 5045. The minimum trading lot on Nifty futures is 100. The initial margin is 8% and the maintenance margin is 6%. The index closed at the following levels on the next five days: Day | Settlement price(Rs.) | 1 2 3 4 5 | 5159 5236 5005 4928 5027 |
Required: (i) | Calculate the Mark to Market Cash Flows and daily closing balances in the account of an investor who has gone long at 5045; | (ii) | Calculate the net profit/(loss) on the contract. | | 1+4+2=7 | (0) |
| (b) | Two funds are available for investment. FUND–A is being launched to–day is 31.12.2008 and available for investment at Rs.10 per unit. A similar Fund–B (Same risk profile like Fund–A) is also available for investment at Rs.19.45 per unit. The information of quarterly NAV for the next three quarters are available as given below: Closing NAV | FUND–A (Rs.) | FUND–B (Rs.) | 31.12.2008 31.03.2009 30.06.2009 30.09.2009 | 10.00 11.1567 14.768 12.8554 | 19.45 21.50 27.15 23.69 |
Investor– ALOKE prefers FUND–A and Investor–RITU prefers FUND–B for investment through SIP (Systematic Investment Plan) each installment entailing Rs.2000 for the four quarters including the initial investment. Required: (i) | Which investor (ALOKE & RITU) would clock a higher return on investment, as on 30.9.2009? | (ii) | Is the difference in return because of one investor choose to invest at Rs.10 and other at Rs.19.45? | | 5+1=6 | (0) |
| (c) | Discuss the various kinds of systematic and Unsystematic risk. | 4+3=7 | (0) |