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Volumn 8, Issue 1, 1998, Pages 27-48

Complete models with stochastic volatility

Author keywords

Complete markets; Option pricing; Smiles; Stochastic volatility

Indexed keywords


EID: 0032221561     PISSN: 09601627     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9965.00043     Document Type: Article
Times cited : (204)

References (42)
  • 1
    • 84977310971 scopus 로고
    • The constant elasticity of variance model and its implications for options pricing
    • BECKERS, S. (1980): The Constant Elasticity of Variance Model and Its Implications for Options Pricing. J. Finance 35, 661-673.
    • (1980) J. Finance , vol.35 , pp. 661-673
    • Beckers, S.1
  • 3
    • 85015692260 scopus 로고
    • The pricing of options and corporate liabilities
    • BLACK, F., and M. SCHOLES (1973): The Pricing of Options and Corporate Liabilities. J. Political Econ. 87, 637-659.
    • (1973) J. Political Econ. , vol.87 , pp. 637-659
    • Black, F.1    Scholes, M.2
  • 4
    • 0000699975 scopus 로고
    • A comparison of the stable and student distributions as statistical models for stock prices
    • BLATTBERG, R. C., and N. J. GONEDES (1974): A Comparison of the Stable and Student Distributions as Statistical Models for Stock Prices. J. Business 47, 244-280.
    • (1974) J. Business , vol.47 , pp. 244-280
    • Blattberg, R.C.1    Gonedes, N.J.2
  • 5
    • 42449156579 scopus 로고
    • Generalised autoregressive conditional heteroskedasticity
    • BOLLERSLEV, T. ( 1986): Generalised Autoregressive Conditional Heteroskedasticity. J. Econometrics 31, 307-327.
    • (1986) J. Econometrics , vol.31 , pp. 307-327
    • Bollerslev, T.1
  • 6
    • 84974296074 scopus 로고
    • Pricing European options: A comparison of the modified Black - Scholes model and a random variance model
    • CHESNEY, M., and L. O. SCOTT (1989): Pricing European Options: A Comparison of the Modified Black - Scholes Model and a Random Variance Model. J. Financial Quant. Anal. 24, 267-284.
    • (1989) J. Financial Quant. Anal. , vol.24 , pp. 267-284
    • Chesney, M.1    Scott, L.O.2
  • 7
    • 33847554918 scopus 로고
    • The valuation of options for alternative stochastic processes
    • COX, J. C., and S. A. Ross (1976): The Valuation of Options for Alternative Stochastic Processes. J. Financial Econ. 3, 145-166.
    • (1976) J. Financial Econ. , vol.3 , pp. 145-166
    • Cox, J.C.1    Ross, S.A.2
  • 8
    • 0000334217 scopus 로고
    • An intertemporal general equilibrium model of asset prices
    • COX, J. C., J. E. INGERSOLL, and S. A. ROSS (1985): An Intertemporal General Equilibrium Model of Asset Prices. Econometrica 53, 363-384.
    • (1985) Econometrica , vol.53 , pp. 363-384
    • Cox, J.C.1    Ingersoll, J.E.2    Ross, S.A.3
  • 9
    • 0001413618 scopus 로고
    • Temporal aggregation of GARCH processes
    • DROST, F. C., and T. E. NIJMAN (1993): Temporal Aggregation of GARCH Processes. Econometrica 61, 909-927.
    • (1993) Econometrica , vol.61 , pp. 909-927
    • Drost, F.C.1    Nijman, T.E.2
  • 10
    • 0002567184 scopus 로고
    • The GARCH option pricing model
    • DUAN, J-C. (1995): The GARCH Option Pricing Model. Math. Finance 5, 13-32.
    • (1995) Math. Finance , vol.5 , pp. 13-32
    • Duan, J.-C.1
  • 11
    • 38149144032 scopus 로고
    • Continuous-time security pricing. A utility gradient approach
    • DUFFIE, D., and C. SKIADAS (1994): Continuous-Time Security Pricing. A Utility Gradient Approach. J. Math. Econ. 23, 107-131.
    • (1994) J. Math. Econ. , vol.23 , pp. 107-131
    • Duffie, D.1    Skiadas, C.2
  • 12
    • 0000884674 scopus 로고
    • Model art
    • DUPIRE, B. (1993): Model Art. Risk 6, 118-124.
    • (1993) Risk , vol.6 , pp. 118-124
    • Dupire, B.1
  • 13
    • 0002004145 scopus 로고
    • Pricing with a smile
    • DUPIRE, B. (1994): Pricing with a Smile. Risk 7, 18-20.
    • (1994) Risk , vol.7 , pp. 18-20
    • Dupire, B.1
  • 14
    • 0000051984 scopus 로고
    • Autoregressive conditional heteroskedasticity with estimates of the variance of United Kingdom inflation
    • ENGLE, R. F. (1982): Autoregressive Conditional Heteroskedasticity with Estimates of the Variance of United Kingdom Inflation. Econometrica 50, 987-1007.
    • (1982) Econometrica , vol.50 , pp. 987-1007
    • Engle, R.F.1
  • 15
    • 0001864064 scopus 로고
    • Hedging of contingent claims under incomplete information
    • eds. M. H. A. Davis and R. J. Elliot. London: Gordon and Breach
    • FÖLLMER, H., and M. SCHWEIZER (1990): Hedging of Contingent Claims under Incomplete Information, in Applied Stochastic Analysis, eds. M. H. A. Davis and R. J. Elliot. London: Gordon and Breach.
    • (1990) Applied Stochastic Analysis
    • Föllmer, H.1    Schweizer, M.2
  • 16
    • 0002289762 scopus 로고
    • Hedging of non-redundant contingent claims
    • eds. W. Hildenbrand and A. Mas-Colell.
    • FÖLLMER, H., and D. SONDERMAN (1986): Hedging of Non-redundant Contingent Claims, in Contributions to Mathematical Economics, eds. W. Hildenbrand and A. Mas-Colell. 205-223.
    • (1986) Contributions to Mathematical Economics , pp. 205-223
    • Föllmer, H.1    Sonderman, D.2
  • 17
    • 0010202226 scopus 로고
    • Empirical analysis of implied volatility: Stocks, bonds and currencies
    • University of Warwick
    • FUNG, W. K. H., and D. A. HSIEH (1991): Empirical Analysis of Implied Volatility: Stocks, Bonds and Currencies. Proceedings of the fourth FORC conference, University of Warwick.
    • (1991) Proceedings of the Fourth FORC Conference
    • Fung, W.K.H.1    Hsieh, D.A.2
  • 18
    • 49249145468 scopus 로고
    • The valuation of compound options
    • GESKE, R. (1979): The Valuation of Compound Options. J. Financial Econ. 7, 63-81.
    • (1979) J. Financial Econ. , vol.7 , pp. 63-81
    • Geske, R.1
  • 19
    • 38649141305 scopus 로고
    • Martingales and arbitrage in multiperiod securities markets
    • HARRISON, J. M., and D. M. KREPS (1979): Martingales and Arbitrage in Multiperiod Securities Markets. J. Economic Theory 20, 381-408.
    • (1979) J. Economic Theory , vol.20 , pp. 381-408
    • Harrison, J.M.1    Kreps, D.M.2
  • 20
    • 41649091143 scopus 로고
    • Martingales and stochastic integrals in the theory of continuous trading
    • HARRISON, J. M., and S. R. PLISKA (1981): Martingales and Stochastic Integrals in the Theory of Continuous Trading. Stoch. Process. Appl. 11, 215-260.
    • (1981) Stoch. Process. Appl. , vol.11 , pp. 215-260
    • Harrison, J.M.1    Pliska, S.R.2
  • 21
    • 84986734338 scopus 로고
    • Option pricing under incompleteness and stochastic volatility
    • HOFMANN, N., E. PLATEN, and M. SCHWEIZER (1992): Option Pricing under Incompleteness and Stochastic Volatility. Math. Finance 2, 153-187.
    • (1992) Math. Finance , vol.2 , pp. 153-187
    • Hofmann, N.1    Platen, E.2    Schweizer, M.3
  • 23
    • 84977709229 scopus 로고
    • The pricing of options on assets with stochastic volatilities
    • HULL, J., and A. WHITE (1987): The Pricing of Options on Assets with Stochastic Volatilities. J. Finance 42, 281-300.
    • (1987) J. Finance , vol.42 , pp. 281-300
    • Hull, J.1    White, A.2
  • 24
    • 0003060928 scopus 로고
    • An analysis of the bias in option pricing caused by a stochastic volatility
    • HULL, J., and A. WHITE (1988): An Analysis of the Bias in Option Pricing Caused by a Stochastic Volatility. Adv. Futures Opt. Res. 3, 29-61.
    • (1988) Adv. Futures Opt. Res. , vol.3 , pp. 29-61
    • Hull, J.1    White, A.2
  • 25
    • 0000592560 scopus 로고
    • Option pricing when the variance is changing
    • JOHNSON, H., and D. SHANNO (1987): Option Pricing when the Variance is Changing. J. Financial Quant. Anal. 22, 143-151.
    • (1987) J. Financial Quant. Anal. , vol.22 , pp. 143-151
    • Johnson, H.1    Shanno, D.2
  • 27
    • 0026156908 scopus 로고
    • Martingale and duality methods for utility maximisation in an incomplete market
    • KARATZAS, I., J. P. LEHOCZKY, S. E. SHREVE, and G.-L. XU (1991): Martingale and Duality Methods for Utility Maximisation in an Incomplete Market. SIAM J. Control Optim. 29, 702-730.
    • (1991) SIAM J. Control Optim. , vol.29 , pp. 702-730
    • Karatzas, I.1    Lehoczky, J.P.2    Shreve, S.E.3    Xu, G.-L.4
  • 28
    • 0010157973 scopus 로고
    • Diffusion approximation in past dependent models and applications to option pricing
    • KIND, P., R. S. LlPSTER, and W. J. RUNGGALDIER (1991): Diffusion Approximation in Past Dependent Models and Applications to Option Pricing. Ann. Appl. Probab. 1, 379-405.
    • (1991) Ann. Appl. Probab. , vol.1 , pp. 379-405
    • Kind, P.1    Llpster, R.S.2    Runggaldier, W.J.3
  • 30
    • 34248474317 scopus 로고
    • Option pricing when underlying stock returns are discontinuous
    • MERTON, R. C. (1976): Option Pricing when Underlying Stock Returns are Discontinuous. J. Financial Econ. 3, 125-144.
    • (1976) J. Financial Econ. , vol.3 , pp. 125-144
    • Merton, R.C.1
  • 32
    • 0842316847 scopus 로고
    • ARCH models as diffusion approximations
    • NELSON, D. B. (1990): ARCH Models as Diffusion Approximations. J. Econometrics 45, 7-38.
    • (1990) J. Econometrics , vol.45 , pp. 7-38
    • Nelson, D.B.1
  • 37
    • 0000455397 scopus 로고
    • Displaced diffusion option pricing
    • RUBINSTEIN, M. (1983): Displaced Diffusion Option Pricing. J. Finance, 38, 213-217.
    • (1983) J. Finance , vol.38 , pp. 213-217
    • Rubinstein, M.1
  • 38
    • 84944838542 scopus 로고
    • Nonparametric tests of alternative option pricing models using all reported trades and quotes on the 30 most active CBOE option classes from Aug. 23 1976 through Aug. 31 1978
    • RUBINSTEIN, M. (1985): Nonparametric Tests of Alternative Option Pricing Models Using All Reported Trades and Quotes on the 30 Most Active CBOE Option Classes from Aug. 23 1976 through Aug. 31 1978. J. Finance 40, 455-480.
    • (1985) J. Finance , vol.40 , pp. 455-480
    • Rubinstein, M.1
  • 39
    • 84977711568 scopus 로고
    • Computing the constant elasticity of variance option pricing formula
    • SCHRODER, M. (1989): Computing the Constant Elasticity of Variance Option Pricing Formula. J. Finance 44, 211-219.
    • (1989) J. Finance , vol.44 , pp. 211-219
    • Schroder, M.1
  • 40
    • 24944554085 scopus 로고
    • Option pricing when the variance changes randomly: Theory, estimation and an application
    • SCOTT, L. O. (1987): Option Pricing when the Variance Changes Randomly: Theory, Estimation and an Application. J. Financial Quant. Anal. 22, 419-438.
    • (1987) J. Financial Quant. Anal. , vol.22 , pp. 419-438
    • Scott, L.O.1
  • 41
    • 0001284767 scopus 로고
    • Stock price distributions with stochastic volatility: An analytic approach
    • STEIN, E. M., and J. C. STEIN (1991): Stock Price Distributions with Stochastic Volatility: An Analytic Approach. Rev. Financial Stud. 4, 727-752.
    • (1991) Rev. Financial Stud. , vol.4 , pp. 727-752
    • Stein, E.M.1    Stein, J.C.2
  • 42
    • 45949112947 scopus 로고
    • Option values under stochastic volatility. Theory and empirical estimates
    • WIGGINS, J. B. (1987): Option Values under Stochastic Volatility. Theory and Empirical Estimates. J. Financial Econ. 19, 351-372.
    • (1987) J. Financial Econ. , vol.19 , pp. 351-372
    • Wiggins, J.B.1


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