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Longstaff-Schwartz 방법×무위험 중립 가치 평가×
분야금융공학금융공학
계열Machine learningRegression model
기원 연도20011979
창시자Francis A. Longstaff and Eduardo S. SchwartzJohn Harrison and David Kreps
유형Valuation AlgorithmFundamental Principle
원전Longstaff, 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 ↗
별칭LSM, Least-Squares MC, Optimal StoppingRisk-Neutral Measure, Q-Measure
관련44
요약The 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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