Research Article
Proactive Hedging European Call Option Pricing with Linear Position Strategy
Table 2
Price ratios of exotic option allowing proactive hedging relative to classical European option under constant parameters (
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| | | | | price ratios | | | | | | | |
| 50% | 80% | 0 | 0 | 0.77 | 0.80 | 0.82 | 50% | 80% | 0 | 4 | 0.95 | 0.97 | 0.98 | 50% | 80% | 0 | 10 | 1.00 | 1.00 | 1.00 | 50% | 80% | 50% | 0 | 0.41 | 0.42 | 0.43 | 50% | 80% | 50% | 4 | 0.85 | 0.88 | 0.91 | 50% | 80% | 50% | 10 | 0.99 | 0.99 | 1.00 | 50% | 100% | 0 | 0 | 0.71 | 0.74 | 0.78 | 50% | 100% | 0 | 4 | 0.94 | 0.96 | 0.97 | 50% | 100% | 0 | 10 | 1.00 | 1.00 | 1.00 | 50% | 100% | 50% | 0 | 0.35 | 0.37 | 0.39 | 50% | 100% | 50% | 4 | 0.84 | 0.87 | 0.90 | 50% | 100% | 50% | 10 | 0.98 | 0.99 | 1.00 | 70% | 80% | 0 | 0 | 0.83 | 0.85 | 0.87 | 70% | 80% | 0 | 4 | 0.97 | 0.98 | 0.99 | 70% | 80% | 0 | 10 | 1.00 | 1.00 | 1.00 | 70% | 80% | 50% | 0 | 0.44 | 0.44 | 0.45 | 70% | 80% | 50% | 4 | 0.85 | 0.88 | 0.91 | 70% | 80% | 50% | 10 | 0.99 | 0.99 | 1.00 | 70% | 100% | 0 | 0 | 0.79 | 0.82 | 0.84 | 70% | 100% | 0 | 4 | 0.96 | 0.97 | 0.98 | 70% | 100% | 0 | 10 | 1.00 | 1.00 | 1.00 | 70% | 100% | 50% | 0 | 0.39 | 0.41 | 0.42 | 70% | 100% | 50% | 4 | 0.85 | 0.88 | 0.91 | 70% | 100% | 50% | 10 | 0.99 | 0.99 | 1.00 | 100% | 80% | 0 | 0 | 0.88 | 0.90 | 0.91 | 100% | 80% | 0 | 4 | 0.98 | 0.98 | 0.99 | 100% | 80% | 0 | 10 | 1.00 | 1.00 | 1.00 | 100% | 80% | 50% | 0 | 0.46 | 0.46 | 0.47 | 100% | 80% | 50% | 4 | 0.86 | 0.89 | 0.91 | 100% | 80% | 50% | 10 | 0.99 | 0.99 | 1.00 | 100% | 100% | 0 | 0 | 0.85 | 0.87 | 0.89 | 100% | 100% | 0 | 4 | 0.97 | 0.98 | 0.99 | 100% | 100% | 0 | 10 | 1.00 | 1.00 | 1.00 | 100% | 100% | 50% | 0 | 0.43 | 0.44 | 0.44 | 100% | 100% | 50% | 4 | 0.85 | 0.88 | 0.91 | 100% | 100% | 50% | 10 | 0.99 | 0.99 | 1.00 |
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