Question
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 |
Assume that each transaction consists of one contract (for 100 shares) unless otherwise indicated. What is the cost of the box spread if we are constructing a long box spread using the June 50 and 55 options?
A. $76 | ||
B. $484 | ||
C. $2,018 | ||
D. $500 |
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