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.
(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.
(c) Compute the breakeven stock price at the expiration.
(d) Identify the maximum and minimum profit.
(e) Justify your answers above.
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