1. | (a) | In each of the cases given below one out of four is correct. Indicate the correct answer (= 1 mark) and give your working/reasons briefly (= 1 mark): | 2x5 | |
| | (i) | The Beta co–efficient of equity stock of ECOBOARD LTD. is 1.6. The risk–free rate of return is 12% and the required rate of return is 18% on the market portfolio. If the dividend expected during the coming year is Rs. 2.50 and the growth rate of dividend and earnings is 8%, at what price the stock of Ecoboard Ltd. can be sold (based on the CAPM)? A. B. C. D. | Rs. 18.38 Rs. 15.60 Rs. 12.50 None of A, B, C | | | (1) |
| | (ii) | ANKITA LTD. issued right shares that increased the market value of the shares of the company by Rs. 160 crore. The existing Base year average (old Base year Avg.) is Rs. 900 crore. If the aggregate market value of all the shares included in the index before the right issue is Rs. 1,800 crore, the new Base year average will be A. B. C. D. | Rs. 782.50 crore Rs. 980.00 crore Rs. 911.17 crore Insufficient information | | | (0) |
| | (iii) | In September 30, 2008, a six–month Put on VINTEX LTD’s stock with an exercise price of Rs. 75 sold for Rs. 6.82. The stock price was Rs. 70.00. The risk–free rate was 6% per annum. How much would you be willing to pay for a CALL on Vintex Ltd.’s stock with same maturity and exercise price? [Given: PVIF (6%, ½ year) = 0.9709] A. B. C. D. | Rs. 13.72 Rs. 8.50 Rs. 4.00 Rs. 3.20 | | | (0) |
| | (iv) | MISS ARTITHI can earn a return of 20 per cent by investing in equity shares on her own. Now she is considering a recently announced Equity based mutual fund scheme in which initial expenses and annual recurring expenses are 5 per cent and 1.5 per cent respectively. How much should the mutual fund earn to provide Miss Artithi, a return of 20 per cent? A. B. C. D. | 18.43% 22.55% 21.50% Insufficient data | | | (1) |
| | (v) | MR. ROHIT is willing to purchase a 5 years Rs. 1000 par value PSU bond having a coupon rate of 9%. His required rate of return is 10%. How much Mr. Rohit should pay to purchase the bond if it matures at par? [Given: PVIFA (10%, 5 years) = 3.791 and PVIF (10%, 5 years) = 0.621] A. B. C. D. | Rs. 965.49 Rs. 962.19 Rs. 850.47 Rs. 805.30 | | | (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): | 1x10 | |
| | (i) | An option of allocating shares in excess of the shares included in the public issue is called A. B. C. D. | Call option Compound option Green shoe option Follow on offer | | | (0) |
| | (ii) | The legislations governing the securities market are A. B. C. D. | The SEBI Act, 1992 and the Companies Act, 1956 The Securities Contracts (Regulation) Act, 1956 Depositories Act, 1996 All of the above. | | | (1) |
| | (iii) | The members of IRDA, other than Chairman of IRDA are appointed by A. B. C. D. | The Chairman of IRDA Government of India The ROC RBI | | | (0) |
| | (iv) | In put–call parity, the pay–offs of buying stock can be replicated by A. B. C. D. | Buying a call and buying a put option Buying a call and writing a put option Writing a call and buying a put option Writing a call and writing a put option | | | (0) |
| | (v) | Security Market Line (SML) shows the relationship between return on the stock and A. B. C. D. | Return on market portfolio Beta of the stock Risk–free rate of return Variance of the stock returns | | | (0) |
| | (vi) | SEBI (Disclosure and Investor Protection) Guidelines, 2000 are not applicable to A. B. C. D. | All public issues by unlisted companies Public sector banks Infrastructure companies Both (B) and (C) above. | | | (0) |
| | (vii) | Sharpe’s measure of the portfolio performance is based on A. B. C. D. | Systematic risk of the portfolio Unsystematic risk of the portfolio Total risk of the portfolio Market risk of the portfolio | | | (0) |
| | (viii) | As per SEBI’s guidelines, a mutual fund should be estimated as a A. B. C. D. | Public Limited Company Trust Private Limited Company None of the above. | | | (1) |
| | (ix) | If the director of a company who has access to inside information is unable to use this information to make supernormal profit, it is a sign of A. B. C. D. | Weak form of efficient market hypothesis Semi–strong form of efficient market hypothesis Strong form of efficient market hypothesis Incompetence of the director. | | | (0) |
| | (x) | The following are the common assumptions to both APT and CAPM: A. B. C. D. | Investors have homogenous beliefs The markets are perfect Investors are risk–averse utility maximizers All of (A), (B) and (C) above. | | | (0) |
2. | (a) | Under what circumstances can a company registered as a collective investment management company raise funds from the public. | 3 | (0) |
| (b) | Explain the difference between forward contract and future contract. | 4 | (0) |
| (c) | Mr. Marin Kumar an investor is evaluating the prospects of investing in two companies SP ARK LTD. and AMRIT LTD. The projections of returns for the stocks of the two companies along with their probabilities are as follows: Economic Scenario | Probabilities | Returns associated with | | | Spark Ltd. | Amrit Ltd. | Market Index | Boom | 0.45 | 43% | 34% | 26% | Growth | 0.25 | 23% | 27% | 10% | Stagnation | 0.20 | 18% | 16% | 3% | Slump | 0.10 | 8% | 4% | –6% |
The risk–free rate of return is 9%. Requirements: (i) | Calculate Ex–ante betas for both the companies | (ii) | Calculate excess return provided by both the companies | (iii) | Calculate the proportion of systematic risk and unsystematic risk for both the Companies. | (iv) | State whether the stock of Spark Ltd. and Amrit Ltd., is underpriced or overpriced? | | 6+2+4+1 | (0) |
3. | (a) | What are the principle weakness of Indian Stock Market? | 3 | (0) |
| (b) | Enumerate the main features of Venture Capital Financing. | 4 | (0) |
| (c) | SUN MUTUAL FUND (approved Mutual Fund) sponsored an open ended equity oriented scheme "LT Opportunity Fund". There were three plans namely ‘A’ —Dividend Reinvestment Plan, ‘B’ —Bonus Plan and ‘C’ —Growth Plan. At the time of New Fund Offer on 1.4.1998 Mr. Hari, Mr. Saxena and Mrs. Rawat invested Rs. 1,00,000 each and choosen plans ‘B’, ‘C’ and A respectively. The face value of the units was Rs. 10 each. The detailed history of the fund is as follows: Date | Dividend (%) | Bonus ratio | Net Asset Plan A | Value per unit Plan B | (F.V. Rs. 10) Plan C | 28.07.2002 31.3.2003 30.10.2006 15.01.2007 31.01.2007 24.02.2008 31.03.2008 | 20 70 40 25 — 40 — | — 5 : 4 — — 1 : 3 1 : 4 — | 30.70 58.42 42.18 46.45 42.18 48.10 53.75 | 31.40 31.05 25.02 29.10 20.05 19.95 22.98 | 33.42 70.05 56.15 64.28 60.12 72.40 82.07 |
On 31st March, 2008 all three investors redeemed all the balance units. You are required to calculate the annual rate return for Mr. Hari, Mr. Saxena and Mrs. Rawat after taking into consideration the following information: (i) | Long–term capital gain is exempt from Income–tax. | (ii) | Short–term capital gain is subject to 10% Income–tax. | (iii) | Security Transaction Tax @ 0.2% only on sale/redemption of units. |
Ignore Education Cess and Service Tax. Note: You may use the formula | | for determining PVIF [at r (rate of return), n years]. | | 4+5+4 | (0) |
4. | (a) | Write short notes on the following: | 3x2 | |
| | (i) | Green Shoe Option | | (0) |
| | (ii) | Services of Merchant Banks. | | (0) |
| (b) | On September1, 2008 the stock of AMREX LTD. (AL) was trading at Rs. 120 and call option exercisable in three months times had an exercise rate of Rs. 112. The standard deviation of the continuously compounded stock price change for Amrex Ltd. is estimated to be 30% per year. The annualized Treasury Bill rate corresponding to this option life is 7%. Required: (i) | Compute the value of a three (3) months call option on the stock of Amrex Ltd. using Black–scholes model. | (ii) | What would be the value of put option for the same? | Extracted from the tables: | (1) | Natural Logarithms: Ln (1.071429) = 0.068993, Ln (0.93333) = – 0.06900. | (2) | Value of e–x: e0.02 = 0.9802 and e–0.01 = 0.9900. | (3) | Cumulative standardized normal probability distribution : NCX. | | When x ≥ 0 : N(o.6516) = 0.7427, N(0.5016) = 0.6921 | | When x ≤ 0 : N(–0.6516) = 0.2573, N(–0.5016) = 0.3079. | | (5+4)+2 | (0) |
| (c) | The stock of APTECH LTD. (FV Rs. 10) quotes Rs. 920 to day on NSE and the 3 month futures price quotes at Rs. 950. The one month borrowing rate is given as 8% and the expected annual dividend yield is 15% p.a. payable before expiry. Your are required to calculate the price of 3 month APTECH FUTURES. | 3 | (0) |