FINA202-23B Individual Assignment
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FINA202-23B Individual Assignment
(Due Saturday, 23 September 2023, 11:59 PM)
Notes:
1. Submit a word/PDF document via Moodle by the due time (mathematics can be typed in word; but if you prefer hand-writing, scanning or photocopying is also acceptable).
2. There are four question sets. The total marks for the assignment is 100. The assignment accounts for 25% of the total assessment.
3. Plagiarism is a specific form of academic misconduct. If found, both parties will be penalized regardless of who copies from whom.
4. Please include a cover page with your name and student ID. Thank you.
5. Show all your workings in order to get full marks.
1) Suppose that Apple currently is selling at $165 per share. You buy 400 shares using $25,000 of your own money, borrowing the remainder of the purchase price from your broker. The rate on the margin loan is 5%.
a. What is the percentage increase in the net worth of your brokerage account if the price of Apple immediately changes to (i) $170; (ii) $180; (iii) $200? What is the relationship between your percentage return and the percentage change in the price of Apple? (10 marks)
b. If the maintenance margin is 25%, how low can Apple’s price fall before you get a margin call? (10 marks)
c. How would your answer to (b) change if you had financed the initial purchase with only $20,000 of your own money? (10 marks)
2) Daily values of NZX50 and ASX200 in 2023 are provided in the Excel file. For both indexes, calculate:
a. Daily average index returns. (5 marks)
b. Standard deviation of daily index returns. (5 marks)
c. Compare the results above and explain the implications with FINAN202 knowledge. (5 marks)
3) Suppose you are a portfolio manager using the capital asset pricing model for making recommendations to her clients. You have the information shown in the following table.
|
Actual/realised return |
Standard deviation |
Beta |
Stock A |
10% |
30% |
0.9 |
Stock B |
15% |
20% |
1.25 |
Market index |
12% |
25% |
1.0 |
Risk-free rate |
3% |
|
|
a. Calculate the fair expected return and alpha for each stock. (15 marks)
b. Identify and justify which stock would be more appropriate for an investor who wants to:
i. add this stock to a well-diversified equity portfolio. (10 marks)
ii. hold this stock as a single-stock portfolio. (10 marks)
c. Explain:
i. What is Beta? (10 marks)
ii. In practice we do not observe Beta but stock prices, market index, and risk-free rate, etc. How do we calculate Beta? (10 marks)
2023-09-13