Unit: Advanced Financial Management
15 Questions| Probability estimates | |||
| Cash outlay | Annual cash inflows | ||
| Probability | Amount Sh."000" | Probability | Amount Sh."000" |
| 0.45 | 250,000 | 0.20 | 45,000 |
| 0.25 | 280,000 | ||
| 0.40 | 50,000 | ||
| 0.25 | 300,000 | ||
| 0.10 | 305,000 | 0.40 | 60,000 |
| Security | Expected annual return (%) | Expected standard deviation (%) |
| 1 2 | 16 12 | 20 20 |
| Company | Amount invested in shares Sh."million" | Beta coefficient |
| Alpha Ltd. | 140 | 0.8 |
| Beta Ltd. | 80 | 1.5 |
| Chatter Ltd. | 120 | 3.0 |
| Dinner Ltd. | 100 | 1.0 |
| Eastern Ltd. | 60 | 2.5 |
| 1 | The beta coefficient of KIF can be determined as a weighted average of the fund's investment. |
| 2 | The current risk-free rate of return is 8%. |
| 3 | The market returns have the following estimated probability distribution for the next period: Probability Market return (%) 0.1 7 0.2 9 0.4 11 0.2 13 0.1 15 |
| (i) | The estimated equation of the security market line (SML). |
| (ii) | The fund's required rate of return for the next period. |
| (iii) | Suppose Anthony Muli, the Chief Investment Officer (CIO) of KIF receives a proposal to invest in a new company. The investment needed to take a position in the new company's shares is Sh.50 million. The forecasted rate of return from this investment and the probability of their occurrence in different states of nature, are given as follows: |
| State of Nature | Probability | Forecasted rate of return (%) | |
| A B C D E | 0.1 0.2 0.4 0.2 0.1 | 10 15 20 10 15 |
| Using the capital asset pricing model (CAPM), advise Anthony Muli on whether to invest in the new company's shares. |
| Nangina Ltd. | Bwiri Ltd. | |
| Profit after tax (Sh.) | 120 million | 30 million |
| Number of shares | 20 million | 6 million |
| Earnings per Share (EPS) (Sh.) | 6 | 5 |
| Market price per share (Sh.) | 50 | 25 |
| Price earnings ratio | 8.33 times | 5 times |
| Sh. "000" | |
| Ordinary share capital (Sh.50 par value) | 120,000 |
| Share premium | 40,000 |
| Retained earnings | 80,000 |
| Shareholders' funds | 240,000 |
| Deposit rate per annum (%) | Borrowing rate per annum (%) | |
| EUR USD | 4.0 2.0 | 8.0 3.5 |
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