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기준자산 변경×무위험 중립 가치 평가×
분야금융공학금융공학
계열Regression modelRegression model
기원 연도19951979
창시자Hélyette Geman, Nicole El Karoui, Jean-Charles RochetJohn Harrison and David Kreps
유형Measure TheoryFundamental Principle
원전Geman, H., El Karoui, N., & Rochet, J. C. (1995). Changes of numeraire, changes of probability measure and option pricing. Journal of Applied Probability, 32(2), 443-458. DOI ↗Harrison, J. M., & Kreps, D. M. (1979). Martingales and arbitrage in multiperiod securities markets. Journal of Economic Theory, 20(3), 381-408. DOI ↗
별칭Numeraire Switching, Measure ChangeRisk-Neutral Measure, Q-Measure
관련34
요약Change of numeraire is a mathematical technique for simplifying option pricing by changing the choice of discount factor (numeraire). By selecting a numeraire aligned with the payoff structure, complex problems become simple. The technique is essential for LIBOR market models and multi-currency derivatives.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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ScholarGate방법 비교: Change of Numeraire · Risk-Neutral Valuation. 2026-06-20에 다음에서 검색함: https://scholargate.app/ko/compare