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SABR मॉडल×जोखिम-उदासीन मूल्यांकन×
क्षेत्रमात्रात्मक वित्तमात्रात्मक वित्त
परिवारRegression modelRegression model
उद्भव वर्ष20021979
प्रवर्तकPatrick S. HaganJohn Harrison and David Kreps
प्रकारInterest Rate ModelFundamental Principle
मौलिक स्रोतHagan, P. S., Kumar, D., Lesniewski, A. S., & Woodward, D. E. (2002). Managing smile risk. Wilmott Magazine, 1, 84-108. link ↗Harrison, J. M., & Kreps, D. M. (1979). Martingales and arbitrage in multiperiod securities markets. Journal of Economic Theory, 20(3), 381-408. DOI ↗
उपनामStochastic Volatility ModelRisk-Neutral Measure, Q-Measure
संबंधित44
सारांशThe SABR (Stochastic Alpha-Beta-Rho) model is a stochastic volatility framework introduced by Hagan et al. in 2002 for valuing interest rate derivatives. It captures the smile effect in implied volatility through correlated Brownian motions and has become industry standard for swaption and caplet 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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