विधियों की तुलना करें

	जोखिम-उदासीन मूल्यांकन	SABR मॉडल
क्षेत्र	मात्रात्मक वित्त	मात्रात्मक वित्त
परिवार	Regression model	Regression model
उद्भव वर्ष	1979	2002
प्रवर्तक	John Harrison and David Kreps	Patrick S. Hagan
प्रकार	Fundamental Principle	Interest Rate Model
मौलिक स्रोत	Harrison, J. M., & Kreps, D. M. (1979). Martingales and arbitrage in multiperiod securities markets. Journal of Economic Theory, 20(3), 381-408.	Hagan, P. S., Kumar, D., Lesniewski, A. S., & Woodward, D. E. (2002). Managing smile risk. Wilmott Magazine, 1, 84-108.
उपनाम	Risk-Neutral Measure, Q-Measure	Stochastic Volatility Model
संबंधित	4	4
सारांश	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.	The 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.