Question
You observe a stock is priced at $165. This stocks option expirations are July 15, August 20 and October 15. The risk-free rates associated with
You observe a stock is priced at $165. This stocks option expirations are July 15, August 20 and October 15. The risk-free rates associated with the option expirations are 5 percent, 5.35 percent and 5.7 percent. The standard deviation is 21 percent. The stocks option prices are stated in the table below.
| Calls | Puts | ||||
Strike | Jul | Aug | Oct | Jul | Aug | Oct |
160 | 6.00 | 8.10 | 11.10 | 0.75 | 2.75 | 4.50 |
165 | 2.70 | 5.25 | 8.10 | 2.40 | 4.75 | 6.75 |
170 | 0.80 | 3.25 | 6.00 | 5.75 | 7.50 | 9.00 |
Required:
(a) Construct a bear spread using October calls. (4 marks)
(b) Determine the profits for the holding period indicated if the stock price is at $150, $155, $160, $165, $170, $175 and $180 at the end of the holding period. Plot a graph for this result. (14 marks)
(c) Compute the breakeven stock price at the expiration. (2 marks)
(d) Identify the maximum and minimum profit. (2 marks)
(e) Justify your answers above. (8 marks)
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