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क्षेत्रमात्रात्मक वित्तमात्रात्मक वित्त
परिवारMachine learningRegression model
उद्भव वर्ष20011979
प्रवर्तकFrancis A. Longstaff and Eduardo S. SchwartzJohn Harrison and David Kreps
प्रकारValuation AlgorithmFundamental Principle
मौलिक स्रोतLongstaff, F. A., & Schwartz, E. S. (2001). Valuing American options by simulation: A simple least-squares approach. Review of Financial Studies, 14(1), 113-147. DOI ↗Harrison, J. M., & Kreps, D. M. (1979). Martingales and arbitrage in multiperiod securities markets. Journal of Economic Theory, 20(3), 381-408. DOI ↗
उपनामLSM, Least-Squares MC, Optimal StoppingRisk-Neutral Measure, Q-Measure
संबंधित44
सारांशThe Longstaff-Schwartz method (2001) is a Monte Carlo algorithm for pricing American options and Bermudan swaptions by approximating the optimal exercise boundary via least-squares regression. It has become the industry standard for pricing path-dependent derivatives where analytical solutions do not exist.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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