विधियों की तुलना करें
चुनी हुई विधियों की आमने-सामने समीक्षा करें; भिन्नता वाली पंक्तियाँ रेखांकित हैं।
| ब्लैक-स्कोल्स-मर्टन ऑप्शन मूल्य निर्धारण मॉडल× | स्टोकेस्टिक वोलैटिलिटी मॉडल (हेस्टन)× | |
|---|---|---|
| क्षेत्र | वित्त | वित्त |
| परिवार | Regression model | Regression model |
| उद्भव वर्ष≠ | 1973 | 1993 |
| प्रवर्तक≠ | Fischer Black, Myron Scholes & Robert Merton | Steven L. Heston |
| प्रकार≠ | Continuous-time option-pricing model | Continuous-time stochastic volatility model |
| मौलिक स्रोत≠ | Black, F., & Scholes, M. (1973). The pricing of options and corporate liabilities. Journal of Political Economy, 81(3), 637–654. DOI ↗ | Heston, S. L. (1993). A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options. Review of Financial Studies, 6(2), 327-343. DOI ↗ |
| उपनाम | Black-Scholes formula, Black-Scholes-Merton model, BSM model, Black-Scholes opsiyon fiyatlama modeli | Heston model, SV model, continuous-time stochastic volatility, Stokastik Volatilite Modeli (Heston, SV) |
| संबंधित≠ | 4 | 5 |
| सारांश≠ | The Black-Scholes-Merton model, published by Fischer Black and Myron Scholes in 1973 with the theoretical framework extended by Robert Merton, gives a closed-form no-arbitrage price for European options. By assuming the underlying asset follows geometric Brownian motion with constant volatility, it derives a partial differential equation whose solution expresses the option price in terms of the stock price, strike, time to maturity, risk-free rate, and volatility — transforming option pricing from intuition into a rigorous, tractable formula. | The stochastic volatility model is a continuous-time option-pricing and risk framework in which volatility follows its own random process rather than staying constant. The Heston model, introduced by Steven Heston in 1993, gives the variance a mean-reverting square-root (CIR) dynamic and yields a closed-form option price; it is the continuous-time counterpart of GARCH. |
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