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Volumn 16, Issue 2, 1997, Pages 205-227

Weak convergence and distributional assumptions for a general class of nonliner arch models

Author keywords

Continuous record asymptotics; Non linear ARCH; Option pricing theory; Stochastic volatility

Indexed keywords


EID: 85071345010     PISSN: 07474938     EISSN: 15324168     Source Type: Journal    
DOI: 10.1080/07474939708800382     Document Type: Article
Times cited : (13)

References (41)
  • 1
    • 0003976305 scopus 로고    scopus 로고
    • Stochastic Differential Equations
    • New York: John Wiley&Sons, In
    • Arnold, L., “ Stochastic Differential Equations ”. In Theory and Applications, New York: John Wiley&Sons.
    • Theory and Applications
    • Arnold, L.1
  • 3
    • 85015692260 scopus 로고
    • The Pricing of Options and Corporate Liabilities
    • Black, F., and Scholes, M., 1973. The Pricing of Options and Corporate Liabilities. Journal of Political Economy, 81: 637–659.
    • (1973) Journal of Political Economy , vol.81 , pp. 637-659
    • Black, F.1    Scholes, M.2
  • 4
    • 0001062383 scopus 로고
    • Studies of Stock Price Volatility Changes, Proceedings of the American Statistical Association
    • Black, F., 1976. Studies of Stock Price Volatility Changes, Proceedings of the American Statistical Association. Business and Economic Statistics Section, 81: 177–181.
    • (1976) Business and Economic Statistics Section , vol.81 , pp. 177-181
    • Black, F.1
  • 5
    • 42449156579 scopus 로고
    • Generalized Autoregressive Conditonal Heteroskedasticity
    • Bollerslev, T., 1986. Generalized Autoregressive Conditonal Heteroskedasticity. Journal of Econometrics, 31: 307–327.
    • (1986) Journal of Econometrics , vol.31 , pp. 307-327
    • Bollerslev, T.1
  • 6
    • 0000375581 scopus 로고
    • A Conditional Heteroskedastic Time Series Model for Speculative Prices and Rates of Return
    • Bollerslev, T., 1987. A Conditional Heteroskedastic Time Series Model for Speculative Prices and Rates of Return. Review of Economics and Statistics, 69: 542–547.
    • (1987) Review of Economics and Statistics , vol.69 , pp. 542-547
    • Bollerslev, T.1
  • 7
    • 34848900983 scopus 로고
    • ARCH Modeling in Finance: A Review of the Theory and Empirical Evidence
    • Bollerslev, T., Chou, R., and Kroner, K., 1992. ARCH Modeling in Finance: A Review of the Theory and Empirical Evidence. Journal of Econometrics, 52: 5–60.
    • (1992) Journal of Econometrics , vol.52 , pp. 5-60
    • Bollerslev, T.1    Chou, R.2    Kroner, K.3
  • 9
    • 0041059062 scopus 로고
    • A Long Memory Property of Stock Market Returns and a New Model
    • Ding, Z., Granger, C., and Engle, R., 1993. A Long Memory Property of Stock Market Returns and a New Model. Journal of Empirical Finance, 1: 83–106.
    • (1993) Journal of Empirical Finance , vol.1 , pp. 83-106
    • Ding, Z.1    Granger, C.2    Engle, R.3
  • 10
    • 0000013567 scopus 로고
    • Autoregressive Conditional Heteroskedasticity With Estimates of the Variance of United Kingdom Inflation
    • Engle, R., 1982. Autoregressive Conditional Heteroskedasticity With Estimates of the Variance of United Kingdom Inflation. Econometrica, 50: 987–1008.
    • (1982) Econometrica , vol.50 , pp. 987-1008
    • Engle, R.1
  • 11
    • 84963146757 scopus 로고
    • Modeling the Persistence of Conditional Variances
    • Engle, R., 1986. Modeling the Persistence of Conditional Variances. Econometric Reviews, 5: 1–50.
    • (1986) Econometric Reviews , vol.5 , pp. 1-50
    • Engle, R.1
  • 12
    • 0000788747 scopus 로고
    • Implied ARCH Models from Option Prices
    • Engle, R., and Mustafa, C., 1992. Implied ARCH Models from Option Prices. Journal of Econometrics, 52: 1749
    • (1992) Journal of Econometrics , vol.52 , pp. 1749
    • Engle, R.1    Mustafa, C.2
  • 13
    • 85071345210 scopus 로고
    • A Two Factor Model with Optimal filtering Behaviour
    • Fornari, F., and Mele, A., 1994. A Two Factor Model with Optimal filtering Behaviour. Statistica, 54: 293–312.
    • (1994) Statistica , vol.54 , pp. 293-312
    • Fornari, F.1    Mele, A.2
  • 14
    • 84993601065 scopus 로고
    • Relationships Between the Expected Value and the Volatility of the Nominal Excess Return on Stocks
    • Glosten, L., and Jagannathan, R., 1993. Relationships Between the Expected Value and the Volatility of the Nominal Excess Return on Stocks. Journal of Finance, 48: 1779–1801.
    • (1993) Journal of Finance , vol.48 , pp. 1779-1801
    • Glosten, L.1    Jagannathan, R.2
  • 17
    • 38649141305 scopus 로고
    • Martingales and Arbitrage in Multiperiod Securities Markets
    • Harrison, J. M., and Kreps, D., 1979. Martingales and Arbitrage in Multiperiod Securities Markets. Journal of Economic Theory, 20: 381–408.
    • (1979) Journal of Economic Theory , vol.20 , pp. 381-408
    • Harrison, J.M.1    Kreps, D.2
  • 19
    • 0037836721 scopus 로고
    • A Closed Form Solution for Options with Stochastic Volatility with Application to Bond and Currency Options
    • Heston, S., 1993. A Closed Form Solution for Options with Stochastic Volatility with Application to Bond and Currency Options. Review of Financial Studies, 6: 327–344.
    • (1993) Review of Financial Studies , vol.6 , pp. 327-344
    • Heston, S.1
  • 20
    • 0001837273 scopus 로고
    • A Class of Nonlinear ARCH models
    • M, Higgins, and Bera, A., 1992. A Class of Nonlinear ARCH models. International Economic Review, 33: 137–158.
    • (1992) International Economic Review , vol.33 , pp. 137-158
    • M, H.1    Bera, A.2
  • 21
    • 84986734338 scopus 로고
    • Option Princing under Incompleteness and Stochastic Volatility
    • Hofmann, N., Platen, C., and Schweizer, M., 1992. Option Princing under Incompleteness and Stochastic Volatility. Mathematical Finance, 3: 153–188.
    • (1992) Mathematical Finance , vol.3 , pp. 153-188
    • Hofmann, N.1    Platen, C.2    Schweizer, M.3
  • 22
    • 84952520952 scopus 로고
    • Modeling heteroskedasticity in Daily Foreign Exchange Rates
    • Hsieh, D., 1988. Modeling heteroskedasticity in Daily Foreign Exchange Rates. Journal of Business and Economic Statistics, 7: 307–317.
    • (1988) Journal of Business and Economic Statistics , vol.7 , pp. 307-317
    • Hsieh, D.1
  • 23
    • 84977709229 scopus 로고
    • The Pricing of Options on Assets with Stochastic Volatilities
    • Hull, J., and White, A., 1987. The Pricing of Options on Assets with Stochastic Volatilities. journal of Finance, 42: 281–300.
    • (1987) journal of Finance , vol.42 , pp. 281-300
    • Hull, J.1    White, A.2
  • 25
    • 85071343190 scopus 로고    scopus 로고
    • Approximations and Weak Convergence Methods for Random Processes
    • The MIT Press, In
    • Kushner, H., “ Approximations and Weak Convergence Methods for Random Processes ”. In with Applications to Stochastic Systems Theory, The MIT Press.
    • with Applications to Stochastic Systems Theory
    • Kushner, H.1
  • 26
    • 21144472851 scopus 로고
    • Forecasting Stock-Return Variance: Toward an Understanding of Stochastic Implied Volatilities
    • Lamoureux, C., and Lastrapes, W., 1993. Forecasting Stock-Return Variance: Toward an Understanding of Stochastic Implied Volatilities. Review of Financial Studies, 6: 293–326.
    • (1993) Review of Financial Studies , vol.6 , pp. 293-326
    • Lamoureux, C.1    Lastrapes, W.2
  • 27
    • 84977723797 scopus 로고
    • Interest Rate Volatility and The Term Structure: A Two Factor General Equilibrium Model
    • Longstaff, F., and Schwartz, E., 1992. Interest Rate Volatility and The Term Structure: A Two Factor General Equilibrium Model. Journal of Finance, 47: 1259–1282.
    • (1992) Journal of Finance , vol.47 , pp. 1259-1282
    • Longstaff, F.1    Schwartz, E.2
  • 28
    • 0142115382 scopus 로고
    • Several Possible Measure of Risk
    • Luce, R., 1980. Several Possible Measure of Risk. Theory and Decision, 12: 217–228.
    • (1980) Theory and Decision , vol.12 , pp. 217-228
    • Luce, R.1
  • 29
    • 0842316847 scopus 로고
    • ARCH Models as Diffusion Approximations
    • Nelson, D., 1990. ARCH Models as Diffusion Approximations. Journal of Economerics, 45: 7–39.
    • (1990) Journal of Economerics , vol.45 , pp. 7-39
    • Nelson, D.1
  • 30
    • 0000641348 scopus 로고
    • Conditional Heteroskedasticity in Asset Returns: A New Approach
    • Nelson, D., 1991. Conditional Heteroskedasticity in Asset Returns: A New Approach. Econometrica, 59: 347–370.
    • (1991) Econometrica , vol.59 , pp. 347-370
    • Nelson, D.1
  • 31
    • 44049123033 scopus 로고
    • Filtering and Forecasting with Misspecified ARCH Models I: Getting the Right Variance with the Wrong Model
    • Nelson, D., 1992. Filtering and Forecasting with Misspecified ARCH Models I: Getting the Right Variance with the Wrong Model. Journal of Econometrics, 52: 61–90.
    • (1992) Journal of Econometrics , vol.52 , pp. 61-90
    • Nelson, D.1
  • 32
    • 0002447828 scopus 로고
    • Asymptotic Filtering Theory for Univariate ARCH Models
    • Nelson, D., and D. 1994. Asymptotic Filtering Theory for Univariate ARCH Models. Econometrica, 62: 1–41.
    • (1994) Econometrica , vol.62 , pp. 1-41
    • Nelson, D.1
  • 33
    • 84977707955 scopus 로고
    • Why Does Stock Market Volatility change Over Time?
    • Schwert, W., 1989. Why Does Stock Market Volatility change Over Time?. Journal of Finance, 44: 1115–1154.
    • (1989) Journal of Finance , vol.44 , pp. 1115-1154
    • Schwert, W.1
  • 34
    • 24944554085 scopus 로고
    • Option Pricing when the Variance Changes Randomly: Theory, Estimation, and an Application
    • Scott, L., 1987. Option Pricing when the Variance Changes Randomly: theory, Estimation, and an Application. Journal of Financial and Quantitative Analysis, 22: 419–438.
    • (1987) Journal of Financial and Quantitative Analysis , vol.22 , pp. 419-438
    • Scott, L.1
  • 39
    • 84986754945 scopus 로고
    • Modeling Stochastic Volatility: A Review and Comparative Study
    • Taylor, S., 1994. Modeling Stochastic Volatility: a Review and Comparative Study. Mathematical Finance, 4: 183–204.
    • (1994) Mathematical Finance , vol.4 , pp. 183-204
    • Taylor, S.1
  • 40
    • 45949112947 scopus 로고
    • Option Values and Stochastic Volatility. Theory and Empirical Estimates
    • Wiggins, J., 1987. Option Values and Stochastic Volatility. Theory and Empirical Estimates. Journal of Financial Economics, 19: 351–372.
    • (1987) Journal of Financial Economics , vol.19 , pp. 351-372
    • Wiggins, J.1


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