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Volumn 51, Issue 2, 2003, Pages 185-209

Pricing options on scalar diffusions: An eigenfunction expansion approach

Author keywords

Finance, asset pricing: option pricing, CEV model, CIR model; Finance, securities: barrier options; Probability, diffusion: spectral theory, barrier crossing, generalized Bessel process

Indexed keywords

CONSTANT ELASTICITY OF VARIANCE (CEV); SCALAR DIFFUSION PROCESSES;

EID: 1042285609     PISSN: 0030364X     EISSN: None     Source Type: Journal    
DOI: 10.1287/opre.51.2.185.12782     Document Type: Article
Times cited : (116)

References (67)
  • 1
    • 0001936263 scopus 로고
    • Numerical inversion of Laplace transforms of probability distributions
    • Abate, J., W. Whitt. 1995. Numerical inversion of Laplace transforms of probability distributions. ORSA J. Comput. 7 36-43.
    • (1995) ORSA J. Comput. , vol.7 , pp. 36-43
    • Abate, J.1    Whitt, W.2
  • 3
    • 4344603908 scopus 로고
    • Tax clienteles and stochastic processes in the gilt market
    • Graduate School of Business, University of Chicago, Chicago, IL
    • Beaglehole, D. R. 1991. Tax clienteles and stochastic processes in the gilt market. Working paper, Graduate School of Business, University of Chicago, Chicago, IL.
    • (1991) Working Paper
    • Beaglehole, D.R.1
  • 4
    • 85015692260 scopus 로고
    • The pricing of options and corporate | liabilities
    • Black, R. M. Scholes. 1973. The pricing of options and corporate | liabilities. J. Political Econom. 81 637-659.
    • (1973) J. Political Econom. , vol.81 , pp. 637-659
    • Black, R.1    Scholes, M.2
  • 6
    • 0033421632 scopus 로고    scopus 로고
    • Pricing lookback and barrier options under the CEV process
    • correction: P. P. Boyle, Y. Tian, J. Imai. Lookback options under the CEV process: A correction. J. Financial Quant. Anal, website 〈http://depts.washington.edu/jfqa/〉 in Notes, Comments, and Corrections
    • Boyle, P. P., Y. Tian. 1999. Pricing lookback and barrier options under the CEV process. J. Financial Quant. Anal. 34 241-264 (correction: P. P. Boyle, Y. Tian, J. Imai. Lookback options under the CEV process: A correction. J. Financial Quant. Anal, website 〈http://depts.washington.edu/jfqa/〉 in Notes, Comments, and Corrections).
    • (1999) J. Financial Quant. Anal. , vol.34 , pp. 241-264
    • Boyle, P.P.1    Tian, Y.2
  • 7
    • 21844526866 scopus 로고
    • American capped call options on dividend-paying assets
    • Broadie, M., J. Detemple. 1995. American capped call options on dividend-paying assets. Rev. Financial Stud. 8 161-191.
    • (1995) Rev. Financial Stud. , vol.8 , pp. 161-191
    • Broadie, M.1    Detemple, J.2
  • 9
    • 0010131637 scopus 로고
    • Notes on option pricing I: Constant elasticity of variance diffusions
    • Stanford University
    • Cox, J. 1975. Notes on option pricing I: Constant elasticity of variance diffusions. Working paper, Stanford University (reprinted in J. Portfolio Management, 1996, 22 15-17).
    • (1975) Working Paper
    • Cox, J.1
  • 10
    • 0008584343 scopus 로고    scopus 로고
    • Cox, J. 1975. Notes on option pricing I: Constant elasticity of variance diffusions. Working paper, Stanford University (reprinted in J. Portfolio Management, 1996, 22 15-17).
    • (1996) J. Portfolio Management , vol.22 , pp. 15-17
  • 11
    • 33847554918 scopus 로고
    • The valuation of options for alternative stochastic processes
    • _, S. Ross. 1976. The valuation of options for alternative stochastic processes. J. Financial Econom. 3 145-166.
    • (1976) J. Financial Econom. , vol.3 , pp. 145-166
    • Ross, S.1
  • 12
    • 0001205798 scopus 로고
    • A theory of the term structure of interest rates
    • _, J. E. Ingersoll, S. A. Ross. 1985. A theory of the term structure of interest rates. Econometrica 53 385-407.
    • (1985) Econometrica , vol.53 , pp. 385-407
    • Ingersoll, J.E.1    Ross, S.A.2
  • 13
    • 0035410524 scopus 로고    scopus 로고
    • The valuation and hedging of barrier and lookback options under the CEV process
    • Davydov, D., V. Linetsky. 2001. The valuation and hedging of barrier and lookback options under the CEV process. Management Sci. 47 949-965.
    • (2001) Management Sci. , vol.47 , pp. 949-965
    • Davydov, D.1    Linetsky, V.2
  • 14
    • 0345009160 scopus 로고    scopus 로고
    • Structuring, pricing and hedging double barrier step options
    • _, _. 2001/2002. Structuring, pricing and hedging double barrier step options. J. Comput. Finance 5(2) 55-87.
    • (2001) J. Comput. Finance , vol.5 , Issue.2 , pp. 55-87
  • 16
    • 4344663458 scopus 로고
    • Price operators: Extensions, potentials, and the Markov valuation of securities
    • Graduate School of Business, Stanford University, Stanford, CA
    • Duffie, D. 1986. Price operators: Extensions, potentials, and the Markov valuation of securities. Research paper 813, Graduate School of Business, Stanford University, Stanford, CA.
    • (1986) Research Paper , vol.813
    • Duffie, D.1
  • 17
    • 0008549755 scopus 로고    scopus 로고
    • Princeton University Press, Princeton, NJ
    • _. 2001. Dynamic Asset Pricing, 3rd ed. Princeton University Press, Princeton, NJ.
    • (2001) Dynamic Asset Pricing, 3rd Ed.
  • 18
    • 4344599874 scopus 로고
    • Intertemporal arbitrage and the Markov valuation of securities
    • Graduate School of Business, Stanford University, Stanford, CA
    • _, M. Garman. 1986. Intertemporal arbitrage and the Markov valuation of securities. Working paper, Graduate School of Business, Stanford University, Stanford, CA.
    • (1986) Working Paper
    • Garman, M.1
  • 21
    • 84976088819 scopus 로고
    • Further results on the constant elasticity of variance call option pricing model
    • Emanuel, D., J. MacBeth. 1982. Further results on the constant elasticity of variance call option pricing model. J. Financial Quant. Anal. 17 533-554.
    • (1982) J. Financial Quant. Anal. , vol.17 , pp. 533-554
    • Emanuel, D.1    MacBeth, J.2
  • 24
    • 0032263222 scopus 로고    scopus 로고
    • Testing for embeddability by stationary reversible continuous-time Markov processes
    • Florens, J.-P., E. Renault, N. Touzi. 1998. Testing for embeddability by stationary reversible continuous-time Markov processes. Econometric Theory 14 744-769.
    • (1998) Econometric Theory , vol.14 , pp. 744-769
    • Florens, J.-P.1    Renault, E.2    Touzi, N.3
  • 25
    • 0003051950 scopus 로고    scopus 로고
    • Pricing Asian options: A comparison of analytical and Monte Carlo methods
    • Fu, M., D. Madan, T. Wang. 1997. Pricing Asian options: A comparison of analytical and Monte Carlo methods. J. Comput. Finance 2 49-74.
    • (1997) J. Comput. Finance , vol.2 , pp. 49-74
    • Fu, M.1    Madan, D.2    Wang, T.3
  • 26
    • 0001653151 scopus 로고
    • Eigenvalue and eigenfunction asymptotics for regular Sturm-Liouville problems
    • Fulton, C., S. Pruess. 1994. Eigenvalue and eigenfunction asymptotics for regular Sturm-Liouville problems. J. Math. Anal. Appl. 188 297-340.
    • (1994) J. Math. Anal. Appl. , vol.188 , pp. 297-340
    • Fulton, C.1    Pruess, S.2
  • 27
    • 84862417038 scopus 로고    scopus 로고
    • The automatic classification of Sturm-Liouville problems
    • Forthcoming
    • _, _, Y. Xie, The automatic classification of Sturm-Liouville problems. J. Appl. Math. Comput. Forthcoming. 〈http://www.mines.edu/fs_home/spruess/papers/class.ps〉.
    • J. Appl. Math. Comput.
    • Xie, Y.1
  • 28
    • 0011597045 scopus 로고
    • Towards a semigroup pricing theory
    • Garman, M. 1985. Towards a semigroup pricing theory. J. Finance XL 847-861.
    • (1985) J. Finance , vol.40 , pp. 847-861
    • Garman, M.1
  • 29
    • 0030305089 scopus 로고    scopus 로고
    • Pricing and hedging double barrier options: A probabilistic approach
    • Geman, H., M. Yor. 1996. Pricing and hedging double barrier options: A probabilistic approach. Math. Finance 6 365-378.
    • (1996) Math. Finance , vol.6 , pp. 365-378
    • Geman, H.1    Yor, M.2
  • 31
    • 1042285606 scopus 로고    scopus 로고
    • A survey and some generalizations of Bessel processes
    • in press
    • Going-Jaeschke, A., M. Yor. 2003. A survey and some generalizations of Bessel processes. Bernoulli, in press 〈http://www.risklab.ch/ftp/papers/GoeingYor.pdf〉.
    • (2003) Bernoulli
    • Going-Jaeschke, A.1    Yor, M.2
  • 32
    • 1042285610 scopus 로고    scopus 로고
    • On the term structure of interest rates in the presence of reflecting and absorbing boundaries
    • Ohio State University, Columbus, OH
    • Goldstein, R., W. P. Keirstead. 1997. On the term structure of interest rates in the presence of reflecting and absorbing boundaries. Working paper, Ohio State University, Columbus, OH.
    • (1997) Working Paper
    • Goldstein, R.1    Keirstead, W.P.2
  • 34
    • 4344701613 scopus 로고    scopus 로고
    • Black's model of interest rates as options, area functionals, eigenfunction expansions, and Japanese interest rates
    • in press
    • _, _. 2003. Black's model of interest rates as options, area functionals, eigenfunction expansions, and Japanese interest rates. Math. Finance, in press.
    • (2003) Math. Finance
  • 36
    • 0010661898 scopus 로고    scopus 로고
    • Spectral methods for identifying scalar diffusions
    • Hansen, L. P., J. A. Scheinkman, N. Touzi. 1998. Spectral methods for identifying scalar diffusions. J. Econometrics 86 1-32.
    • (1998) J. Econometrics , vol.86 , pp. 1-32
    • Hansen, L.P.1    Scheinkman, J.A.2    Touzi, N.3
  • 39
    • 0004307538 scopus 로고    scopus 로고
    • Recovering stochastic processes from option prices
    • University of California, Berkeley, CA
    • Jackwerth, J. C., M. Rubinstein. 1998. Recovering stochastic processes from option prices. Working paper, University of California, Berkeley, CA.
    • (1998) Working Paper
    • Jackwerth, J.C.1    Rubinstein, M.2
  • 42
    • 84986779671 scopus 로고
    • Pricing options with curved boundaries
    • Kunitomo, N., M. Ikeda. 1992. Pricing options with curved boundaries. Math. Finance 2 275-298.
    • (1992) Math. Finance , vol.2 , pp. 275-298
    • Kunitomo, N.1    Ikeda, M.2
  • 44
    • 0032327325 scopus 로고    scopus 로고
    • Applications of eigenfunction expansions in continuous-time finance
    • Lewis, A. 1998. Applications of eigenfunction expansions in continuous-time finance. Math. Finance 8 349-383.
    • (1998) Math. Finance , vol.8 , pp. 349-383
    • Lewis, A.1
  • 46
    • 0012892627 scopus 로고    scopus 로고
    • Steps to the barrier
    • Linetsky, V. 1998. Steps to the barrier. RISK (April) 62-65.
    • (1998) RISK , Issue.APRIL , pp. 62-65
    • Linetsky, V.1
  • 47
    • 0033483088 scopus 로고    scopus 로고
    • Step options
    • _. 1999. Step options. Math. Finance 9 55-96.
    • (1999) Math. Finance , vol.9 , pp. 55-96
  • 49
    • 1042297242 scopus 로고    scopus 로고
    • Exotic spectra
    • _. 2002a. Exotic spectra. RISK (April) 85-89.
    • (2002) RISK , Issue.APRIL , pp. 85-89
  • 51
    • 0000081447 scopus 로고
    • Elementary solutions for certain parabolic partial differential equations
    • McKean, H. 1956. Elementary solutions for certain parabolic partial differential equations. Trans. Amer. Math. Soc. 82 519-548.
    • (1956) Trans. Amer. Math. Soc. , vol.82 , pp. 519-548
    • McKean, H.1
  • 53
    • 0008584346 scopus 로고    scopus 로고
    • Pricing double barrier options using analytical inversion of Laplace transforms
    • Pelsser, A. 2000. Pricing double barrier options using analytical inversion of Laplace transforms. Finance Stochast. 4 95-104.
    • (2000) Finance Stochast. , vol.4 , pp. 95-104
    • Pelsser, A.1
  • 56
    • 4243522959 scopus 로고
    • In search of parsimony: Valuing vanilla and exotic options for alternative stochastic processes
    • Toronto, Ontario, Canada
    • Reiner, E. 1994. In search of parsimony: Valuing vanilla and exotic options for alternative stochastic processes. Derivatives Conference, Toronto, Ontario, Canada.
    • (1994) Derivatives Conference
    • Reiner, E.1
  • 58
    • 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
  • 60
    • 0002115073 scopus 로고
    • Bessel diffusions as a one-parameter family of diffusion processes
    • Shiga, T., S. Watanabe. 1973. Bessel diffusions as a one-parameter family of diffusion processes. Z. Wahrscheinlichkeitstheorie Verw. Geb. 27 37-46.
    • (1973) Z. Wahrscheinlichkeitstheorie Verw. Geb. , vol.27 , pp. 37-46
    • Shiga, T.1    Watanabe, S.2
  • 64
    • 34250688684 scopus 로고
    • Uber gewohncliche lineare differentialgleichungen mit singularitaten und die zugehorigen entwicklungen wilkurlicher funktionen
    • Weyl, H. 1910. Uber gewohncliche lineare differentialgleichungen mit singularitaten und die zugehorigen entwicklungen wilkurlicher funktionen. Math. Ann. 68 220-269.
    • (1910) Math. Ann. , vol.68 , pp. 220-269
    • Weyl, H.1
  • 66
    • 0005928367 scopus 로고    scopus 로고
    • World Scientific, Singapore
    • Zhang, P. 1997. Exotic Options. World Scientific, Singapore.
    • (1997) Exotic Options
    • Zhang, P.1


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