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The following prices are available for call and put options on a stock priced at $50. The risk-free rate is 6 percent and the volatility
- The following prices are available for call and put options on a stock priced at $50. The risk-free rate is 6 percent and the volatility is 0.35. The March options have 90 days remaining and the June options have 180 days remaining. The Black-Scholes model was used to obtain the prices.
| Calls | Puts | ||
Strike | March | June | March | June |
45 | 6.84 | 8.41 | 1.18 | 2.09 |
50 | 3.82 | 5.58 | 3.08 | 4.13 |
55 | 1.89 | 3.54 | 6.08 | 6.93 |
Suppose an investor expects the stock price to remain at about $50 and decides to execute a butterfly spread using the June calls. Answer the following questions and remember that options are traded in blocks of 100 options.
- What will be the cost of the Butterfly Spread?
- What will be the profit at expiration of the June options if the stock price is $52.50?
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