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Volumn 50, Issue 9, 2004, Pages 1222-1234

Primal-dual simulation algorithm for pricing multidimensional American options

Author keywords

American options; Bermudan options; Bermudan swaptions; Libor market model; Monte Carlo simulation; Multiple state variables; Option pricing; Real options

Indexed keywords

AMERICAN OPTIONS; BERMUDAN OPTIONS; LIBOR MARKET MODEL; OPTION PRICING;

EID: 4944240401     PISSN: 00251909     EISSN: None     Source Type: Journal    
DOI: 10.1287/mnsc.1040.0258     Document Type: Article
Times cited : (290)

References (42)
  • 1
    • 0041829879 scopus 로고    scopus 로고
    • A simple approach to the pricing of Bermudan swaptions in the multi-factor Libor market model
    • Andersen, L. 2000. A simple approach to the pricing of Bermudan swaptions in the multi-factor Libor market model. J. Comput. Finance 3(1) 5-32.
    • (2000) J. Comput. Finance , vol.3 , Issue.1 , pp. 5-32
    • Andersen, L.1
  • 2
    • 0010685049 scopus 로고    scopus 로고
    • Volatility skews and extensions of the Libor market model
    • Andersen, L., J. Andreasen. 2000. Volatility skews and extensions of the Libor market model. Appl. Math. Finance 7(1) 1-32.
    • (2000) Appl. Math. Finance , vol.7 , Issue.1 , pp. 1-32
    • Andersen, L.1    Andreasen, J.2
  • 3
    • 4944235159 scopus 로고    scopus 로고
    • A quantization method for pricing and hedging multi-dimensional American style options
    • INRIA (The French National Institute for Research in Computer Science and Control)
    • Bally, V., G. Pages, J. Frintems. 2002a. A quantization method for pricing and hedging multi-dimensional American style options. Working paper, INRIA (The French National Institute for Research in Computer Science and Control).
    • (2002) Working Paper
    • Bally, V.1    Pages, G.2    Frintems, J.3
  • 4
    • 0141971260 scopus 로고    scopus 로고
    • First order schemes in the numerical quantization method
    • Bally, V., G. Pages, J. Printems. 2002b. First order schemes in the numerical quantization method. Math. Finance 13(1) 1-16.
    • (2002) Math. Finance , vol.13 , Issue.1 , pp. 1-16
    • Bally, V.1    Pages, G.2    Printems, J.3
  • 5
    • 84974489693 scopus 로고
    • Numerical valuation of high dimensional multivariate American securities
    • Barraquand, J., D. Martineau. 1995. Numerical valuation of high dimensional multivariate American securities. J. Financial Quant. Anal. 30(3) 383-405.
    • (1995) J. Financial Quant. Anal. , vol.30 , Issue.3 , pp. 383-405
    • Barraquand, J.1    Martineau, D.2
  • 6
    • 0003959385 scopus 로고
    • Simulation estimators of optimal early exercise
    • Carnegie Mellon University, Pittsburgh, PA
    • Bossaerts, F. 1989. Simulation estimators of optimal early exercise. Working paper, Carnegie Mellon University, Pittsburgh, PA.
    • (1989) Working Paper
    • Bossaerts, F.1
  • 7
    • 0000605667 scopus 로고
    • Options: A Monte Carlo approach
    • Boyle, P. 1977. Options: A Monte Carlo approach. J. Financial Econom. 4 323-338.
    • (1977) J. Financial Econom. , vol.4 , pp. 323-338
    • Boyle, P.1
  • 8
    • 84959674840 scopus 로고
    • A lattice framework for option pricing with two state variables
    • Boyle, P. 1988. A lattice framework for option pricing with two state variables. J. Financial Quant Anal. 23 1-12.
    • (1988) J. Financial Quant Anal. , vol.23 , pp. 1-12
    • Boyle, P.1
  • 9
    • 0000532793 scopus 로고
    • Numerical evaluation of multivariate contingent claims
    • Boyle, P., J. Evnine, S. Gibbs. 1989. Numerical evaluation of multivariate contingent claims. Rev. Financial Stud. 2 241-250.
    • (1989) Rev. Financial Stud. , vol.2 , pp. 241-250
    • Boyle, P.1    Evnine, J.2    Gibbs, S.3
  • 10
    • 0031489544 scopus 로고    scopus 로고
    • The market model of interest rate dynamics
    • Brace, A., D. Gatarek, M. Musiela. 1997. The market model of interest rate dynamics. Math. Finance 7 127-155.
    • (1997) Math. Finance , vol.7 , pp. 127-155
    • Brace, A.1    Gatarek, D.2    Musiela, M.3
  • 11
    • 0001503841 scopus 로고
    • The valuation of American put options
    • Brennan, M, E. Schwartz. 1977. The valuation of American put options. J. Finance 32 449-462.
    • (1977) J. Finance , vol.32 , pp. 449-462
    • Brennan, M.1    Schwartz, E.2
  • 12
    • 4944267703 scopus 로고    scopus 로고
    • Improved bounds for pricing American options using Monte Carlo simulation
    • Columbia University, New York
    • Broadie, M., M. Cao. 2003. Improved bounds for pricing American options using Monte Carlo simulation. Working paper, Columbia University, New York
    • (2003) Working Paper
    • Broadie, M.1    Cao, M.2
  • 13
    • 0030502126 scopus 로고    scopus 로고
    • American option valuation: New bounds, approximations, and a comparison of existing methods
    • Broadie, M., J. Detemple. 1996. American option valuation: New bounds, approximations, and a comparison of existing methods. Rev. Financial Stud. 9(4) 1211-1250.
    • (1996) Rev. Financial Stud. , vol.9 , Issue.4 , pp. 1211-1250
    • Broadie, M.1    Detemple, J.2
  • 14
    • 0031536240 scopus 로고    scopus 로고
    • The valuation of American options on multiple assets
    • Broadie, M., J. Detemple. 1997. The valuation of American options on multiple assets. Math. Finance 7 241-286.
    • (1997) Math. Finance , vol.7 , pp. 241-286
    • Broadie, M.1    Detemple, J.2
  • 15
    • 0031590025 scopus 로고    scopus 로고
    • Pricing American-style securities using simulation
    • Broadie, M., P. Glasserman. 1997. Pricing American-style securities using simulation. J. Econom. Dynam. Control 21(8-9) 1323-1352
    • (1997) J. Econom. Dynam. Control , vol.21 , Issue.8-9 , pp. 1323-1352
    • Broadie, M.1    Glasserman, P.2
  • 16
    • 4944229957 scopus 로고    scopus 로고
    • A stochastic mesh method for pricing high-dimensional American options
    • Broadie, M., P. Glasserman. 2004. A stochastic mesh method for pricing high-dimensional American options. J. Comput. Finance 7(4) 35-72.
    • (2004) J. Comput. Finance , vol.7 , Issue.4 , pp. 35-72
    • Broadie, M.1    Glasserman, P.2
  • 17
    • 4944250006 scopus 로고    scopus 로고
    • Simulating Bermudan interest rate derivatives
    • M. Avellaneda, ed. World Scientific
    • Can, P., G. Yang. 2001. Simulating Bermudan interest rate derivatives. Quantitative Analysis in Financial Markets, Vol II. M. Avellaneda, ed. World Scientific, 295-316.
    • (2001) Quantitative Analysis in Financial Markets , vol.2 , pp. 295-316
    • Can, P.1    Yang, G.2
  • 18
    • 0030516708 scopus 로고    scopus 로고
    • Valuation of the early-exercise price for derivative securities using simulations and splines
    • Carriere, J. F. 1996. Valuation of the early-exercise price for derivative securities using simulations and splines. Insurance: Math. Econom. 19 19-30.
    • (1996) Insurance: Math. Econom. , vol.19 , pp. 19-30
    • Carriere, J.F.1
  • 19
    • 0038056397 scopus 로고    scopus 로고
    • An analysis of a leastsquares regression algorithm for American option pricing
    • Clément, E., D. Lamberton, P. Frotter. 2001 An analysis of a leastsquares regression algorithm for American option pricing. Finance Stochastics 6 449-471.
    • (2001) Finance Stochastics , vol.6 , pp. 449-471
    • Clément, E.1    Lamberton, D.2    Frotter, P.3
  • 22
    • 0040854306 scopus 로고
    • A deterministic approach to optimal stopping, with applications
    • P. Kelly, ed. John Wiley & Sons, New York and Chichester
    • Davis, M., I. Karatzas. 1994. A deterministic approach to optimal stopping, with applications. P. Kelly, ed. Probability, Statistics and Optimization: A Tribute to Peter Whittle. John Wiley & Sons, New York and Chichester, 455-466.
    • (1994) Probability, Statistics and Optimization: A Tribute to Peter Whittle , pp. 455-466
    • Davis, M.1    Karatzas, I.2
  • 23
    • 0037411907 scopus 로고    scopus 로고
    • Convergence and biases of Monte Carlo estimates of American option prices using a parametric exercise rule
    • Garcia, D. 2003. Convergence and biases of Monte Carlo estimates of American option prices using a parametric exercise rule. J. Econom. Dynamics Control 27(10) 1855-1879.
    • (2003) J. Econom. Dynamics Control , vol.27 , Issue.10 , pp. 1855-1879
    • Garcia, D.1
  • 24
    • 4944263632 scopus 로고    scopus 로고
    • Number of paths versus number of basis functions in American option pricing
    • Forthcoming
    • Glasserman, P., B. Yu. 2003. Number of paths versus number of basis functions in American option pricing. Ann. Appl. Probab. Forthcoming.
    • (2003) Ann. Appl. Probab.
    • Glasserman, P.1    Yu, B.2
  • 25
    • 3042537775 scopus 로고    scopus 로고
    • Approximating pricing and exercising of high-dimensional American options: A duality approach
    • MIT, Boston, MA
    • Haugh, M., L. Kogan. 2001. Approximating pricing and exercising of high-dimensional American options: A duality approach. Working paper, MIT, Boston, MA.
    • (2001) Working Paper
    • Haugh, M.1    Kogan, L.2
  • 26
    • 1842451051 scopus 로고    scopus 로고
    • Approximating pricing and exercising of high-dimensional American options: A duality- Approach
    • Haugh, M., L. Kogan. 2004. Approximating pricing and exercising of high-dimensional American options: A duality- approach. Oper. Res. 52(2) 258-270.
    • (2004) Oper. Res. , vol.52 , Issue.2 , pp. 258-270
    • Haugh, M.1    Kogan, L.2
  • 27
    • 0002874199 scopus 로고
    • Convergence from, discrete- To continuous-time contingent claim prices
    • He, H. 1990. Convergence from, discrete- to continuous-time contingent claim prices. Rev. Financial Stud. 3 523-546.
    • (1990) Rev. Financial Stud. , vol.3 , pp. 523-546
    • He, H.1
  • 28
    • 0000930148 scopus 로고    scopus 로고
    • LIBOR and swap market models and measures
    • Jamshidian, F. 1997. LIBOR and swap market models and measures. Finance Stochastics 1293-330.
    • (1997) Finance Stochastics , vol.1 , pp. 293-330
    • Jamshidian, F.1
  • 29
    • 4944229445 scopus 로고    scopus 로고
    • Efficient control variates and strategies for Bermudan swaptions in a Libor market model
    • Aarhus School of Business
    • Jensen, M., M. Svenstrup. 2002. Efficient control variates and strategies for Bermudan swaptions in a Libor market model. Working paper, Aarhus School of Business.
    • (2002) Working Paper
    • Jensen, M.1    Svenstrup, M.2
  • 30
    • 4944242677 scopus 로고    scopus 로고
    • Efficient computation of hedging parameters for discretely exerdsable options
    • University of Texas at Austin, Austin, TX
    • Kaniel, R., S. Tompaidis, A. Zemlianov. 2003. Efficient computation of hedging parameters for discretely exerdsable options. Working paper, University of Texas at Austin, Austin, TX.
    • (2003) Working Paper
    • Kaniel, R.1    Tompaidis, S.2    Zemlianov, A.3
  • 32
    • 4944259108 scopus 로고    scopus 로고
    • Hurdles removed
    • Merrill Lynch, New York
    • Li, B., G. Zhang. 1996. Hurdles removed. Working paper, Merrill Lynch, New York.
    • (1996) Working Paper
    • Li, B.1    Zhang, G.2
  • 33
    • 0035578679 scopus 로고    scopus 로고
    • Valuing American options by simulation: A simple least-squares approach
    • Longstaff, F., E. Schwarte. 2001. Valuing American options by simulation: A simple least-squares approach. Rev. Financial Stud. 14 113-148.
    • (2001) Rev. Financial Stud. , vol.14 , pp. 113-148
    • Longstaff, F.1    Schwarte, E.2
  • 34
    • 0040360988 scopus 로고    scopus 로고
    • Closed-form solutions for term structure derivatives with lognormal interest rates
    • Miltersen, K. R., K. Sandmann, D. Sandermann. 1997. Closed-form solutions for term structure derivatives with lognormal interest rates. J. Finance 52 409-430.
    • (1997) J. Finance , vol.52 , pp. 409-430
    • Miltersen, K.R.1    Sandmann, K.2    Sandermann, D.3
  • 36
    • 27944506670 scopus 로고    scopus 로고
    • Efficient control variates for Monte-Carlo valuation of American options
    • Aarhus School of Business
    • Rasmussen, N. 2002. Efficient control variates for Monte-Carlo valuation of American options. Working paper, Aarhus School of Business.
    • (2002) Working Paper
    • Rasmussen, N.1
  • 37
    • 0002471803 scopus 로고    scopus 로고
    • A Monte Carlo valuation of American call options on the maximum of several stocks
    • Raymar, S., M. Zwecher. 1997. A Monte Carlo valuation of American call options on the maximum of several stocks. J. Derivatives 5(1) 7-23.
    • (1997) J. Derivatives , vol.5 , Issue.1 , pp. 7-23
    • Raymar, S.1    Zwecher, M.2
  • 38
    • 0036021555 scopus 로고    scopus 로고
    • Monte Carlo valuation of American options
    • Rogers, C. 2002. Monte Carlo valuation of American options. Math. Finance 12 271-286.
    • (2002) Math. Finance , vol.12 , pp. 271-286
    • Rogers, C.1
  • 39
    • 4944264977 scopus 로고    scopus 로고
    • On the suboptimality of single-factor exercise strategies for Bermudan swaptions
    • University of Aarhus
    • Svenstrup, M. 2002. On the suboptimality of single-factor exercise strategies for Bermudan swaptions. Working paper, University of Aarhus.
    • (2002) Working Paper
    • Svenstrup, M.1
  • 40
    • 0001433087 scopus 로고
    • Valuing American options in a path simulation model
    • Tilley, J. 1993. Valuing American options in a path simulation model. Trans. Soc. Actuaries 45 83-104.
    • (1993) Trans. Soc. Actuaries , vol.45 , pp. 83-104
    • Tilley, J.1
  • 41
    • 0033351917 scopus 로고    scopus 로고
    • Optimal stopping of Markov processes: Hubert space theory, approximation algorithms, and an application to pricing high-dimensional financial derivatives
    • Tsitsiklis, J., B. Van Roy. 1999. Optimal stopping of Markov processes: Hubert space theory, approximation algorithms, and an application to pricing high-dimensional financial derivatives. IEEE Trans. Automatic Control 44 1840-1851.
    • (1999) IEEE Trans. Automatic Control , vol.44 , pp. 1840-1851
    • Tsitsiklis, J.1    Van Roy, B.2
  • 42
    • 0035391083 scopus 로고    scopus 로고
    • Regression methods for pricing complex American-style options
    • Tsitsklis, J. N., B. Van Roy. 2001. Regression methods for pricing complex American-style options. IEEE Trans. Neural Networks 12(4) 694-703.
    • (2001) IEEE Trans. Neural Networks , vol.12 , Issue.4 , pp. 694-703
    • Tsitsklis, J.N.1    Van Roy, B.2


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