השוואת שיטות
סקרו את השיטות שבחרתם זו לצד זו; שורות שבהן יש הבדל מודגשות.
| תנודתיות מקומית (Dupire)× | תמחור נטול סיכון× | |
|---|---|---|
| תחום | מימון כמותי | מימון כמותי |
| משפחה | Regression model | Regression model |
| שנת המקור≠ | 1994 | 1979 |
| הוגה השיטה≠ | Bruno Dupire | John Harrison and David Kreps |
| סוג≠ | Equity/FX Model | Fundamental Principle |
| מקור מכונן≠ | Dupire, B. (1994). Pricing with a smile. Risk Magazine, 7(1), 18-20. link ↗ | Harrison, J. M., & Kreps, D. M. (1979). Martingales and arbitrage in multiperiod securities markets. Journal of Economic Theory, 20(3), 381-408. DOI ↗ |
| כינויים | Deterministic Volatility Function, DVF | Risk-Neutral Measure, Q-Measure |
| קשורות | 4 | 4 |
| תקציר≠ | Dupire's local volatility model (1994) is a deterministic framework that extracts a term and strike-dependent volatility function from market option prices. Unlike constant volatility, local volatility perfectly fits the observed implied volatility smile and is implemented via finite difference methods for European and American option pricing. | Risk-neutral valuation (1979) is the fundamental principle that derivative prices equal the expected payoff discounted at the risk-free rate, computed under a risk-neutral probability measure (Q-measure). This principle, formalized by Harrison and Kreps, eliminates the need to estimate risk premia and is the foundation of modern derivatives pricing. |
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