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Volumn 43, Issue 1, 2008, Pages 69-84

GARCH option pricing: A semiparametric approach

Author keywords

Esscher transform; Extended Girsanov principle; GARCH; Kernel density estimator; Option pricing; Semiparametric pricing

Indexed keywords


EID: 47249162912     PISSN: 01676687     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.insmatheco.2007.09.011     Document Type: Article
Times cited : (23)

References (48)
  • 1
    • 0039505965 scopus 로고    scopus 로고
    • Nonparametric estimation of state-price densities implicit in financial asset prices
    • Ait-Sahalia Y., and Lo A. Nonparametric estimation of state-price densities implicit in financial asset prices. Journal of Finance 52 (2000) 499-548
    • (2000) Journal of Finance , vol.52 , pp. 499-548
    • Ait-Sahalia, Y.1    Lo, A.2
  • 2
    • 0002804196 scopus 로고    scopus 로고
    • Nonparametric risk management and implied risk aversion
    • Ait-Sahalia Y., and Lo A. Nonparametric risk management and implied risk aversion. Journal of Econometrics 94 (2000) 9-51
    • (2000) Journal of Econometrics , vol.94 , pp. 9-51
    • Ait-Sahalia, Y.1    Lo, A.2
  • 3
    • 47249118667 scopus 로고    scopus 로고
    • Amin, K.I., Ng, V.K., 1993. ARCH processes and option valuation. Working paper, Department of Finance, University of Michigan
    • Amin, K.I., Ng, V.K., 1993. ARCH processes and option valuation. Working paper, Department of Finance, University of Michigan
  • 4
    • 0347354940 scopus 로고    scopus 로고
    • The kurtosis of GARCH and stochastic volatility models
    • Bai X., Russel J.R., and Tiao G.C. The kurtosis of GARCH and stochastic volatility models. Journal of Econometrics 114 (2003) 349-360
    • (2003) Journal of Econometrics , vol.114 , pp. 349-360
    • Bai, X.1    Russel, J.R.2    Tiao, G.C.3
  • 5
    • 0040517321 scopus 로고    scopus 로고
    • Empirical performance of alternative option pricing models
    • Bakshi G., Cao C., and Chen Z. Empirical performance of alternative option pricing models. Journal of Finance 52 (1997) 2003-2049
    • (1997) Journal of Finance , vol.52 , pp. 2003-2049
    • Bakshi, G.1    Cao, C.2    Chen, Z.3
  • 6
    • 47249154641 scopus 로고    scopus 로고
    • Barone-Adesi, G., Engle, R.F., Mancini, L., 2004. GARCH options in incomplete markets. NCCR-FinRisk Paper, University of Zurich, Paper no. 155
    • Barone-Adesi, G., Engle, R.F., Mancini, L., 2004. GARCH options in incomplete markets. NCCR-FinRisk Paper, University of Zurich, Paper no. 155
  • 7
    • 85015692260 scopus 로고
    • The pricing of options and corporate liabilities
    • Black F., and Scholes M. The pricing of options and corporate liabilities. Journal of Political Economy 81 (1973) 637-659
    • (1973) Journal of Political Economy , vol.81 , pp. 637-659
    • Black, F.1    Scholes, M.2
  • 8
    • 42449156579 scopus 로고
    • Generalized autoregressive conditional heteroskedasticity
    • Borellslev T. Generalized autoregressive conditional heteroskedasticity. Journal of Econometrics 31 (1986) 307-327
    • (1986) Journal of Econometrics , vol.31 , pp. 307-327
    • Borellslev, T.1
  • 9
    • 70350121603 scopus 로고
    • ARCH Models
    • Engle R.F., and McFadden D.L. (Eds), Elsevier Science B.V.
    • Bollerslev T., Engle R.F., and Nelson D.B. ARCH Models. In: Engle R.F., and McFadden D.L. (Eds). Handbook of Econometrics vol. 4 (1994), Elsevier Science B.V. 2959-3038
    • (1994) Handbook of Econometrics , vol.4 , pp. 2959-3038
    • Bollerslev, T.1    Engle, R.F.2    Nelson, D.B.3
  • 10
    • 0000728931 scopus 로고    scopus 로고
    • No-Arbitrage, change of measure and conditional Esscher transforms
    • Buhlmann H., Delbaen F., Embrechts P., and Shiryaev A.N. No-Arbitrage, change of measure and conditional Esscher transforms. CWI Quarterly 9 4 (1996) 291-317
    • (1996) CWI Quarterly , vol.9 , Issue.4 , pp. 291-317
    • Buhlmann, H.1    Delbaen, F.2    Embrechts, P.3    Shiryaev, A.N.4
  • 12
    • 0033457596 scopus 로고    scopus 로고
    • Pricing contingent claims on stocks driven by Levy processes
    • Chan T. Pricing contingent claims on stocks driven by Levy processes. Annals of Applied Probability 9 (1999) 504-528
    • (1999) Annals of Applied Probability , vol.9 , pp. 504-528
    • Chan, T.1
  • 13
    • 4944226107 scopus 로고    scopus 로고
    • Which GARCH model for option valuation?
    • Christofferson P., and Jacobs K. Which GARCH model for option valuation?. Management Science 50 (2004) 1204-1221
    • (2004) Management Science , vol.50 , pp. 1204-1221
    • Christofferson, P.1    Jacobs, K.2
  • 15
    • 47249157072 scopus 로고    scopus 로고
    • Christofferson, P., Jacobs, K., Mimouni, K., 2006b. Volatility components: Affine restrictions and Non-normal innovations, Working paper, McGill University
    • Christofferson, P., Jacobs, K., Mimouni, K., 2006b. Volatility components: Affine restrictions and Non-normal innovations, Working paper, McGill University
  • 17
    • 0002567184 scopus 로고
    • The GARCH option pricing model
    • Duan J.-C. The GARCH option pricing model. Mathematical Finance 5 (1995) 13-32
    • (1995) Mathematical Finance , vol.5 , pp. 13-32
    • Duan, J.-C.1
  • 18
    • 0002407914 scopus 로고    scopus 로고
    • Cracking the smile
    • Duan J.-C. Cracking the smile. Risk 9 (1996) 55-59
    • (1996) Risk , vol.9 , pp. 55-59
    • Duan, J.-C.1
  • 19
    • 47249119512 scopus 로고    scopus 로고
    • Duan, J.C., 1999. Conditionally fat-tailed distributions and the volatility smile in options. Manuscript, Hong Kong University of Science and Technology
    • Duan, J.C., 1999. Conditionally fat-tailed distributions and the volatility smile in options. Manuscript, Hong Kong University of Science and Technology
  • 20
    • 47249132725 scopus 로고    scopus 로고
    • Duan, J.-C., Ritchken, P., Sun, Z., 2005. Jump starting GARCH: Pricing and hedging options with jumps in returns and volatilities. Working paper, University of Toronto and Case Western Reserve University
    • Duan, J.-C., Ritchken, P., Sun, Z., 2005. Jump starting GARCH: Pricing and hedging options with jumps in returns and volatilities. Working paper, University of Toronto and Case Western Reserve University
  • 21
    • 33645128523 scopus 로고    scopus 로고
    • Approximating GARCH-jump models, jump-diffusion processes, and option pricing
    • Duan J.-C., Ritchken P., and Sun Z. Approximating GARCH-jump models, jump-diffusion processes, and option pricing. Mathematical Finance 16 1 (2006) 21-52
    • (2006) Mathematical Finance , vol.16 , Issue.1 , pp. 21-52
    • Duan, J.-C.1    Ritchken, P.2    Sun, Z.3
  • 22
    • 0001668150 scopus 로고    scopus 로고
    • Transform analysis and asset pricing for affine jump-diffusions
    • Duffie D., Pan J., and Singleton K.J. Transform analysis and asset pricing for affine jump-diffusions. Econometrica 68 (2000) 1343-1376
    • (2000) Econometrica , vol.68 , pp. 1343-1376
    • Duffie, D.1    Pan, J.2    Singleton, K.J.3
  • 23
    • 0032371333 scopus 로고    scopus 로고
    • A discrete time equivalent martingale measure
    • Elliott R.J., and Madan D.G. A discrete time equivalent martingale measure. Mathematical Finance 8 (1998) 127-152
    • (1998) Mathematical Finance , vol.8 , pp. 127-152
    • Elliott, R.J.1    Madan, D.G.2
  • 24
    • 0000051984 scopus 로고
    • Autoregressive conditional heteroskedasticity with estimates of the variance of U.K. inflation
    • Engle R.F. Autoregressive conditional heteroskedasticity with estimates of the variance of U.K. inflation. Econometrica 50 (1982) 987-1008
    • (1982) Econometrica , vol.50 , pp. 987-1008
    • Engle, R.F.1
  • 25
    • 0001864064 scopus 로고
    • Hedging of contingent claims under incomplete information
    • Applied Stochastic Analysis. Davis M.H.A., and Elliot R.J. (Eds), Gordon and Breach, New York
    • Follmer H., and Schweizer M. Hedging of contingent claims under incomplete information. In: Davis M.H.A., and Elliot R.J. (Eds). Applied Stochastic Analysis. Stochastic Monographs vol 5 (1991), Gordon and Breach, New York 389-414
    • (1991) Stochastic Monographs , vol.5 , pp. 389-414
    • Follmer, H.1    Schweizer, M.2
  • 26
    • 0034387663 scopus 로고    scopus 로고
    • The minimal entropy martingale measure and the valuation problem in incomplete markets
    • Frittelli M. The minimal entropy martingale measure and the valuation problem in incomplete markets. Mathematical Finance 10 (2000) 39-52
    • (2000) Mathematical Finance , vol.10 , pp. 39-52
    • Frittelli, M.1
  • 27
    • 0242268784 scopus 로고    scopus 로고
    • Empirical assessment of an intertemporal option pricing model with latent variables
    • Garcia R., Luger R., and Renault E. Empirical assessment of an intertemporal option pricing model with latent variables. Journal of Econometrics 116 (2003) 49-83
    • (2003) Journal of Econometrics , vol.116 , pp. 49-83
    • Garcia, R.1    Luger, R.2    Renault, E.3
  • 30
    • 84993601065 scopus 로고
    • On the relation between the expected value and the volatility for the nominal excess return on stocks
    • Glosten L.R., Jagannathan R., and Runkle D. On the relation between the expected value and the volatility for the nominal excess return on stocks. Journal of Finance 48 (1993) 1779-1801
    • (1993) Journal of Finance , vol.48 , pp. 1779-1801
    • Glosten, L.R.1    Jagannathan, R.2    Runkle, D.3
  • 31
    • 0005331728 scopus 로고    scopus 로고
    • The p-optimal martingale measure and its asymptotic relation with the minimal entropy martingale measure
    • Grandits P. The p-optimal martingale measure and its asymptotic relation with the minimal entropy martingale measure. Bernoulli 5 2 (1999) 225-248
    • (1999) Bernoulli , vol.5 , Issue.2 , pp. 225-248
    • Grandits, P.1
  • 33
    • 0042708532 scopus 로고    scopus 로고
    • Discrete time option pricing with flexible volatility estimation
    • Hardle W., and Hafner C.M. Discrete time option pricing with flexible volatility estimation. Finance and Stochastics 4 (2000) 189-207
    • (2000) Finance and Stochastics , vol.4 , pp. 189-207
    • Hardle, W.1    Hafner, C.M.2
  • 34
    • 0037836721 scopus 로고
    • A closed-form solution for options with stochastic volatility with applications to bond and currency options
    • Heston S.L. A closed-form solution for options with stochastic volatility with applications to bond and currency options. Review of Financial Studies 6 (1993) 327-344
    • (1993) Review of Financial Studies , vol.6 , pp. 327-344
    • Heston, S.L.1
  • 35
    • 0034375561 scopus 로고    scopus 로고
    • A closed-form GARCH option pricing model
    • Heston S.L., and Nandi S. A closed-form GARCH option pricing model. Review of Financial Studies 13 (2000) 585-626
    • (2000) Review of Financial Studies , vol.13 , pp. 585-626
    • Heston, S.L.1    Nandi, S.2
  • 36
    • 84977709229 scopus 로고
    • The pricing of options on assets with stochastic volatility
    • Hull J., and White A. The pricing of options on assets with stochastic volatility. Journal of Finance 42 (1987) 281-300
    • (1987) Journal of Finance , vol.42 , pp. 281-300
    • Hull, J.1    White, A.2
  • 37
    • 47249095619 scopus 로고    scopus 로고
    • Menn, C., Rachev, S.T., 2005. Smoothly truncated stable distributions, GARCH-models, and option pricing. Working paper, Cornell University and University of Karlsruhe and UCSB
    • Menn, C., Rachev, S.T., 2005. Smoothly truncated stable distributions, GARCH-models, and option pricing. Working paper, Cornell University and University of Karlsruhe and UCSB
  • 39
    • 45149141217 scopus 로고
    • Alternative models for conditional stock volatility
    • Pagan A., and Schwert G.W. Alternative models for conditional stock volatility. Journal of Econometrics 45 (1990) 267-290
    • (1990) Journal of Econometrics , vol.45 , pp. 267-290
    • Pagan, A.1    Schwert, G.W.2
  • 41
    • 47249114694 scopus 로고
    • Hedging of options in a general semimartingale model. Diss. ETH Zurich 8615
    • Schweizer M. Hedging of options in a general semimartingale model. Diss. ETH Zurich 8615. Mathematical Finance 7 (1988) 413-426
    • (1988) Mathematical Finance , vol.7 , pp. 413-426
    • Schweizer, M.1
  • 42
    • 24944554085 scopus 로고
    • Option pricing when the variance changes randomly: Theory, estimation, and an application
    • Scott L.O. Option pricing when the variance changes randomly: Theory, estimation, and an application. Journal of Financial and Quantitative Analysis 22 (1987) 419-438
    • (1987) Journal of Financial and Quantitative Analysis , vol.22 , pp. 419-438
    • Scott, L.O.1
  • 43
    • 0031476682 scopus 로고    scopus 로고
    • Pricing stock options in a jump-diffusion model with stochastic volatility and interest rates: Applications of Fourier inversion methods
    • Scott L.O. Pricing stock options in a jump-diffusion model with stochastic volatility and interest rates: Applications of Fourier inversion methods. Mathematical Finance 7 (1997) 413-426
    • (1997) Mathematical Finance , vol.7 , pp. 413-426
    • Scott, L.O.1
  • 45
    • 24144437647 scopus 로고    scopus 로고
    • On pricing derivatives under GARCH models: A dynamic Gerber-Shiu approach
    • Siu T.K., Tong H., and Yang H. On pricing derivatives under GARCH models: A dynamic Gerber-Shiu approach. North American Actuarial Journal 8 3 (2004) 17-32
    • (2004) North American Actuarial Journal , vol.8 , Issue.3 , pp. 17-32
    • Siu, T.K.1    Tong, H.2    Yang, H.3
  • 46
    • 0001284767 scopus 로고
    • Stock price distributions with stochastic volatility: An analytic approach
    • Stein E.M., and Stein J.C. Stock price distributions with stochastic volatility: An analytic approach. Review of Financial Studies 4 (1991) 727-752
    • (1991) Review of Financial Studies , vol.4 , pp. 727-752
    • Stein, E.M.1    Stein, J.C.2
  • 47
    • 26844465929 scopus 로고    scopus 로고
    • Pricing American options when the underlying asset follows GARCH processes
    • Stentoft L. Pricing American options when the underlying asset follows GARCH processes. Journal of Empirical Finance 12 4 (2005) 576-611
    • (2005) Journal of Empirical Finance , vol.12 , Issue.4 , pp. 576-611
    • Stentoft, L.1
  • 48
    • 45949112947 scopus 로고
    • Option values under stochastic volatility: Theory and Empirical Estimates
    • Wiggings J.B. Option values under stochastic volatility: Theory and Empirical Estimates. Journal of Financial Econometrics 19 (1987) 351-377
    • (1987) Journal of Financial Econometrics , vol.19 , pp. 351-377
    • Wiggings, J.B.1


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