create a website

A quasi-analytical interpolation method for pricing American options under general multi-dimensional diffusion processes. (2010). Li, Minqiang.
In: Review of Derivatives Research.
RePEc:kap:revdev:v:13:y:2010:i:2:p:177-217.

Full description at Econpapers || Download paper

Cited: 2

Citations received by this document

Cites: 72

References cited by this document

Cocites: 29

Documents which have cited the same bibliography

Coauthors: 0

Authors who have wrote about the same topic

Citations

Citations received by this document

  1. An improved method for pricing and hedging long dated American options. (2016). Fabozzi, Frank ; Paletta, Tommaso ; Stanescu, Silvia ; Tunaru, Radu.
    In: European Journal of Operational Research.
    RePEc:eee:ejores:v:254:y:2016:i:2:p:656-666.

    Full description at Econpapers || Download paper

  2. A recombining lattice option pricing model that relaxes the assumption of lognormality. (2011). Brorsen, B ; Ji, Dasheng.
    In: Review of Derivatives Research.
    RePEc:kap:revdev:v:14:y:2011:i:3:p:349-367.

    Full description at Econpapers || Download paper

References

References cited by this document

  1. Amin K., Khanna A. (1994) Convergence of American option values from discrete to continuous time financial models. Mathematical Finance 4: 289–304.

  2. Barles G., Burdeau J., Romano M., Samsoen N. (1995) Critical stock price near expiration. Mathematical Finance 5(2): 77–95.

  3. Barone-Adesi G. (2005) The saga of the American put. Journal of Banking & Finance 29: 2909–2918.

  4. Barone-Adesi G., Whaley R. (1987) Efficient analytical approximation of American option values. Journal of Finance 42: 301–320.
    Paper not yet in RePEc: Add citation now
  5. Bensoussan A. (1984) On the theory of option pricing. Acta Applicandae Mathematicae 2: 139–158.
    Paper not yet in RePEc: Add citation now
  6. Bergman Y., Grundy B., Wiener Z. (1996) General properties of option prices. Journal of Finance 51: 1573–1610.

  7. Black F., Scholes M. (1973) The pricing of options and corporate liabilities. Journal of Political Economy 81: 637–654.

  8. Boyle P. P. (1977) Options: A Monte Carlo approach. Journal of Financial Economics 4: 323–338.

  9. Breen R. (1991) The accelerated binomial option pricing model. Journal of Financial and Quantitative Analysis 26: 153–164.

  10. Brennan M., Schwartz E. (1977) The valuation of American put options. Journal of Finance 32: 449–462.

  11. Brennan M., Schwartz E. (1978) Finite difference methods and jump processes arising in the pricing of contingent claims: A synthesis. Journal of Financial and Quantitative Analysis 13: 461–474.

  12. Broadie M., Detemple J. B. (1996) American option valuation: New bounds, approximations, and a comparison of existing methods. Review of Financial Studies 9: 1211–1250.

  13. Broadie M., Glasserman P. (1997) Pricing American-style securities using simulation. Journal of Economic Dynamics and Control 21: 1323–1352.

  14. Bunch D., Johnson H. E. (1992) A simple and numerically efficient valuation method for American puts using a modified Geske-Johnson approach. Journal of Finance 47(2): 809–816.

  15. Bunch D., Johnson H. E. (2000) The American put option and its critical stock price. Journal of Finance 55(5): 2333–2356.

  16. Carr P. (1998) Randomization and the American put. Review of Financial Studies 11: 597–626.

  17. Carr P., Jarrow R., Myneni R. (1992) Alternative characterizations of American put options. Mathematical Finance 2: 87–106.

  18. Carr, P., & Faguet, D. (1995). Fast accurate valuation of American options. Working paper, Cornell University.
    Paper not yet in RePEc: Add citation now
  19. Chung S. -L. (2000) American option valuation under stochastic interest rates. Review od Derivatives Research 3(3): 283–307.

  20. Clément E., Lamberton D., Protter P. (2002) An analysis of a least squares regression algorithm for American option pricing. Finance and Stochastics 6: 449–471.
    Paper not yet in RePEc: Add citation now
  21. Cox J. C., Ross S. A., Rubinstein M. (1979) Option pricing: A simplified approach. Journal of Financial Economics 7: 229–264.

  22. Curran M. (1995) Accelerating American option pricing in lattices. Journal of Derivatives 3: 8–17.
    Paper not yet in RePEc: Add citation now
  23. Detemple J. B. (2006) American-style derivatives: Valuation and computation. CRC Press Taylor and Francis Group, London.
    Paper not yet in RePEc: Add citation now
  24. Detemple J. B., Feng S., Tian W. (2003) The valuation of American call options on the minimum of two dividend-paying assets. Annals of Applied Probability 13: 953–983.
    Paper not yet in RePEc: Add citation now
  25. Detemple J. B., Tian W. (2002) The valuation of American options for a class of diffusion processes. Management Science 48: 917–937.

  26. Figlewski S., Gao B. (1999) The adaptive mesh model: A new approach to efficient option pricing. Journal of Financial Economics 53: 313–351.

  27. Finucane T. J., Tomas M. J. (1996) American stochastic volatility call option pricing: A lattice based approach. Review of Derivatives Research 1(2): 183–201.
    Paper not yet in RePEc: Add citation now
  28. Geske R. (1979) The valuation of compound options. Journal of Financial Economics 7: 63–81.

  29. Geske R., Johnson H. E. (1984) The American put option valued analytically. Journal of Finance 39: 1511–1524.

  30. Heston S. L. (1993) A closed-form solution for options with stochastic volatility with applications to bond and currency options. Review of Financial Studies 6(2): 327–343.

  31. Huang J., Subrahmanyam M., Yu G. (1996) Pricing and hedging American options: A recursive integration method. Review of Financial Studies 9: 277–330.

  32. Hull J., White A. (1990) Valuing derivative securities using the explicit finite difference method. Journal of Financial and Quantitative Analysis 25: 87–100.

  33. Ito K., & Toivanen J. (2006). Lagrange multiplier approach with optimized finite difference stencils for pricing American options under stochastic volatility. Report B 6/2006, Department of Mathematical Information Technology, University of Jyv
    Paper not yet in RePEc: Add citation now
  34. Jacka S. D. (1991) Optimal stopping and the American put. Mathematical Finance 1: 1–14.

  35. Jaillet P., Lamberton D., Lapeyre B. (1990) Variational inequalities and the pricing of American options. Acta Applicandae Mathematicae 21: 263–289.

  36. Johnson H. E. (1983) An analytic approximation for the American put price. Journal of Financial and Quantitative Analysis 18(1): 141–148.

  37. Ju N., Zhong R. (1999) An approximate formula for pricing American options. Journal of Derivatives 7: 31–40.
    Paper not yet in RePEc: Add citation now
  38. Kamrad B., Ritchken P. (1991) Multinomial approximating models for options with k state variables. Management Science 37: 1640–1652.

  39. Karatzas L. (1988) On the pricing of American options. Applied Mathematics and Optimization 17: 37–60.
    Paper not yet in RePEc: Add citation now
  40. Khaliqa A. Q. M., Vossb D. A., Kazmic S. H. K. (2006) A linearly implicit predictor corrector scheme for pricing American options using a penalty method approach. Journal of Banking & Finance 30(2): 489–502.

  41. Kim I. J. (1990) The analytic valuation of American options. Review of Financial Studies 3: 547–572.

  42. Kim I. J. (1994) Analytical approximations of the option exercise boundaries for American futures option. Journal of Futures Markets 14: 1–24.
    Paper not yet in RePEc: Add citation now
  43. Kim I. J., & Jang, B. -G. (2008). An alternative numerical approach for valuation of American options: A simple iteration method. Working paper, Yonsei University.
    Paper not yet in RePEc: Add citation now
  44. Kim I. J., Yu G. (1996) An alternative approach to the valuation of American options and applications. Review of Derivatives Research 1: 61–86.
    Paper not yet in RePEc: Add citation now
  45. Lamberton D. (1993) Convergence of the critical price in the approximation of American options. Mathematical Finance 3: 179–190.

  46. Lamberton D. (1998) Error estimates for the binomial approximation of American put options. Annals of Applied Probability 8: 206–233.
    Paper not yet in RePEc: Add citation now
  47. Lewis A. L. (2000) Option valuation under stochastic volatility with mathematica code. Finance Press, Newport Beach, CA.

  48. Li, M. (2009). Analytical approximations for the critical stock prices of American options: a performance comparison. Review of Derivatives Research. doi: 10.1007/s11147-009-9044-3 (forthcoming).

  49. Li, M., & Lee, K. (2009). An adaptive successive over-relaxation method for computing the Black-Scholes implied volatility. Quantitative Finance. doi: 10.1080/14697680902849361 (forthcoming).
    Paper not yet in RePEc: Add citation now
  50. Li, M., & Pearson, N. D. (2009). A horse race among competing option pricing models using S&P 500 index options. Working paper, Georgia Institute of Technology.
    Paper not yet in RePEc: Add citation now
  51. Longstaff F. A., Schwartz E. A. (2001) Valuing American options by simulations: A simple least-squares approach. Review of Financial Studies 14: 113–147.

  52. MacMillan L. W. (1986) An analytic approximation for the American put prices. Advances in Futures and Options Research 1: 119–139.
    Paper not yet in RePEc: Add citation now
  53. McDonald R. D., Schroder M. D. (1998) A parity result for American options. Journal of Computational Finance 1: 5–13.
    Paper not yet in RePEc: Add citation now
  54. McKean H. P. Jr. (1965) Appendix: A free boundary problem for the heat equation arising from a problem in mathematical economics. Industrial Management Review 6: 32–39.
    Paper not yet in RePEc: Add citation now
  55. Medvedev, A., & Scaillet, O. (2009). Pricing American options under stochastic volatility and stochastic interest rates. Journal of Financial Economics (forthcoming).

  56. Merton R. C. (1973) Theory of rational option pricing. Bell Journal of Economics and Management Science 4: 141–183.

  57. Moreno M., Navas J. (2003) On the robustness of least squares Monte Carlo (LSM) for pricing American derivatives. Review of Derivative Research 6: 107–128.

  58. Myneni R. (1992) The pricing of American option. Annals of Applied Probability 2(1): 1–23.
    Paper not yet in RePEc: Add citation now
  59. Omberg E. (1987) The valuation of American put options with exponential exercise policies. Advances in Futures and Options Research 2: 117–142.
    Paper not yet in RePEc: Add citation now
  60. Parkinson M. (1977) Option pricing: The American put. Journal of Business 50: 21–36.

  61. Peskir G. (2005) On the American option problem. Mathematical Finance 15(1): 169–181.

  62. Rendleman R., Bartter B. (1979) Two-state option pricing. Journal of Finance 34: 1093–1110.

  63. Rogers C. (2002) Monte Carlo valuation of American options. Mathematical Finance 12: 271–286.

  64. Rubinstein M., Cox J. (1982) Options markets. Prentice Hall, Englewood Cliffs, NJ.
    Paper not yet in RePEc: Add citation now
  65. Samuelson P. A. (1967) Rational theory of warrant pricing. Industrial Management Review 6: 13–31.
    Paper not yet in RePEc: Add citation now
  66. Schroder M. (1999) Changes of numeraire for pricing futures, forwards and options. Review of Financial Studies 12: 1143–1163.

  67. Stentoft L. (2004) Assessing the least squares Monte-Carlo approach to American option valuation. Review of Derivatives Research 7: 129–168.

  68. Sullivan M. A. (2000) Valuing American put options using Gaussian quadrature. Review of Financial Studies 13(1): 75–94.

  69. Van Moerbeke P. (1976) On optimal stopping and free boundary problems. Archive for Rational Mechanics and Analysis 60: 101–148.
    Paper not yet in RePEc: Add citation now
  70. Zhu S. -P. (2006) An exact and explicit solution for the valuation of American put options. Quantitative Finance 6(3): 229–242.

  71. Zhu S. -P., He Z. -W. (2007) Calculating the early exercise boundary of American put options with an approximation formula. International Journal of Theoretical and Applied Finance 10: 1203–1227.

  72. Zhylyevskyy, O. (2009). A fast Fourier transform technique for pricing American options under stochastic volatility. Review of Derivatives Research. doi: 10.1007/s11147-009-9041-6 (forthcoming).

Cocites

Documents in RePEc which have cited the same bibliography

  1. On Sparse Grid Interpolation for American Option Pricing with Multiple Underlying Assets. (2023). Yang, Jiefei ; Li, Guanglian.
    In: Papers.
    RePEc:arx:papers:2309.08287.

    Full description at Econpapers || Download paper

  2. Analysis of VIX-linked fee incentives in variable annuities via continuous-time Markov chain approximation. (2022). Cui, Zhenyu ; Vachon, Marie-Claude ; MacKay, Anne.
    In: Papers.
    RePEc:arx:papers:2207.14793.

    Full description at Econpapers || Download paper

  3. Option Pricing and CVA Calculations using the Monte Carlo-Tree (MC-Tree) Method. (2022). Trinh, Yen Thuan ; Hanzon, Bernard.
    In: Papers.
    RePEc:arx:papers:2202.00785.

    Full description at Econpapers || Download paper

  4. American option pricing: Optimal Lattice models and multidimensional efficiency tests. (2021). Shang, Qianru ; Byrne, Brian.
    In: Journal of Futures Markets.
    RePEc:wly:jfutmk:v:41:y:2021:i:4:p:514-535.

    Full description at Econpapers || Download paper

  5. A Stable and Convergent Finite Difference Method for Fractional Black–Scholes Model of American Put Option Pricing. (2019). Shahmorad, S ; Kalantari, R.
    In: Computational Economics.
    RePEc:kap:compec:v:53:y:2019:i:1:d:10.1007_s10614-017-9734-0.

    Full description at Econpapers || Download paper

  6. Pricing derivatives on multiple assets: recombining multinomial trees based on Pascal’s simplex. (2018). Sierag, Dirk ; Hanzon, Bernard.
    In: Annals of Operations Research.
    RePEc:spr:annopr:v:266:y:2018:i:1:d:10.1007_s10479-017-2655-4.

    Full description at Econpapers || Download paper

  7. Equity stakes and exit: An experimental approach to decomposing exit delay. (2017). Croson, Rachel ; Elfenbein, Daniel W ; Knott, Anne Marie.
    In: Strategic Management Journal.
    RePEc:bla:stratm:v:38:y:2017:i:2:p:278-299.

    Full description at Econpapers || Download paper

  8. Efficient High-Order Numerical Methods for Pricing of Options. (2015). Hajipour, Mojtaba ; Malek, Alaeddin.
    In: Computational Economics.
    RePEc:kap:compec:v:45:y:2015:i:1:p:31-47.

    Full description at Econpapers || Download paper

  9. Demand Uncertainty, Development Timing and Leasehold Land Valuation: Empirical Testing of Real Options in Residential Real Estate Development. (2014). Yao, Huimin ; Pretorius, Frederik.
    In: Real Estate Economics.
    RePEc:bla:reesec:v:42:y:2014:i:4:p:829-868.

    Full description at Econpapers || Download paper

  10. From Black-Scholes to Online Learning: Dynamic Hedging under Adversarial Environments. (2014). Liu, Zhenming ; Lam, Henry.
    In: Papers.
    RePEc:arx:papers:1406.6084.

    Full description at Econpapers || Download paper

  11. The optimal-drift model: an accelerated binomial scheme. (2013). Muller, Stefanie ; Korn, Ralf.
    In: Finance and Stochastics.
    RePEc:spr:finsto:v:17:y:2013:i:1:p:135-160.

    Full description at Econpapers || Download paper

  12. Mixing Monte-Carlo and Partial Differential Equations for Pricing Options. (2013). Loeper, Gregoire ; Lipp, Tobias ; Pironneau, Olivier.
    In: Post-Print.
    RePEc:hal:journl:hal-01558826.

    Full description at Econpapers || Download paper

  13. A robust tree method for pricing American options with CIR stochastic interest rate. (2013). Caramellino, Lucia ; Appolloni, Elisa ; Zanette, Antonino.
    In: Papers.
    RePEc:arx:papers:1305.0479.

    Full description at Econpapers || Download paper

  14. A closed-form solution to American options under general diffusion processes. (2012). Zhao, Jing ; Wong, Hoi Ying.
    In: Quantitative Finance.
    RePEc:taf:quantf:v:12:y:2012:i:5:p:725-737.

    Full description at Econpapers || Download paper

  15. A quasi-analytical interpolation method for pricing American options under general multi-dimensional diffusion processes. (2010). Li, Minqiang.
    In: Review of Derivatives Research.
    RePEc:kap:revdev:v:13:y:2010:i:2:p:177-217.

    Full description at Econpapers || Download paper

  16. Numerical methods for Lévy processes. (2009). Reich, N. ; Hilber, N. ; Winter, C. ; Schwab, C..
    In: Finance and Stochastics.
    RePEc:spr:finsto:v:13:y:2009:i:4:p:471-500.

    Full description at Econpapers || Download paper

  17. A Quasi-analytical Interpolation Method for Pricing American Options under General Multi-dimensional Diffusion Processes. (2009). Li, Minqiang.
    In: MPRA Paper.
    RePEc:pra:mprapa:17348.

    Full description at Econpapers || Download paper

  18. A generalized complementarity approach to solving real option problems. (2008). Nagae, Takeshi ; Akamatsu, Takashi.
    In: Journal of Economic Dynamics and Control.
    RePEc:eee:dyncon:v:32:y:2008:i:6:p:1754-1779.

    Full description at Econpapers || Download paper

  19. Smooth convergence in the binomial model. (2007). Chang, Lo-Bin ; Palmer, Ken.
    In: Finance and Stochastics.
    RePEc:spr:finsto:v:11:y:2007:i:1:p:91-105.

    Full description at Econpapers || Download paper

  20. Financial markets in continuous time. (2007). Dana, Rose-Anne ; Jeanblanc, Monique.
    In: Economics Papers from University Paris Dauphine.
    RePEc:dau:papers:123456789/5374.

    Full description at Econpapers || Download paper

  21. A MULTINOMIAL APPROXIMATION FOR AMERICAN OPTION PRICES IN LÉVY PROCESS MODELS. (2006). Maller, Ross A. ; Solomon, David H. ; Szimayer, Alex .
    In: Mathematical Finance.
    RePEc:bla:mathfi:v:16:y:2006:i:4:p:613-633.

    Full description at Econpapers || Download paper

  22. Error estimates for binomial approximations of game options. (2006). Kifer, Yuri.
    In: Papers.
    RePEc:arx:papers:math/0607123.

    Full description at Econpapers || Download paper

  23. Convergence and Biases of Monte Carlo estimates of American option prices using a parametric exercise rule. (2003). Garcia, Diego.
    In: Journal of Economic Dynamics and Control.
    RePEc:eee:dyncon:v:27:y:2003:i:10:p:1855-1879.

    Full description at Econpapers || Download paper

  24. Efficient option valuation using trees. (2002). Herzel, Stefano ; Heath, David C..
    In: Applied Mathematical Finance.
    RePEc:taf:apmtfi:v:9:y:2002:i:3:p:163-178.

    Full description at Econpapers || Download paper

  25. Parabolic ADI Methods for Pricing American Options on Two Stocks. (2002). Villeneuve, Stephane ; Zanette, Antonino.
    In: Mathematics of Operations Research.
    RePEc:inm:ormoor:v:27:y:2002:i:1:p:121-149.

    Full description at Econpapers || Download paper

  26. American option pricing under GARCH by a Markov chain approximation. (2001). Simonato, Jean-Guy ; Duan, Jin-Chuan.
    In: Journal of Economic Dynamics and Control.
    RePEc:eee:dyncon:v:25:y:2001:i:11:p:1689-1718.

    Full description at Econpapers || Download paper

  27. A direct discrete-time approach to Poisson-Gaussian bond option pricing in the Heath-Jarrow-Morton model. (1998). Das, Sanjiv.
    In: Journal of Economic Dynamics and Control.
    RePEc:eee:dyncon:v:23:y:1998:i:3:p:333-369.

    Full description at Econpapers || Download paper

  28. Pricing American-style securities using simulation. (1997). Glasserman, Paul ; Broadie, Mark.
    In: Journal of Economic Dynamics and Control.
    RePEc:eee:dyncon:v:21:y:1997:i:8-9:p:1323-1352.

    Full description at Econpapers || Download paper

  29. Recent Advances in Numerical Methods for Pricing Derivative Securities. (1996). Detemple, Jerome ; Broadie, Mark.
    In: CIRANO Working Papers.
    RePEc:cir:cirwor:96s-17.

    Full description at Econpapers || Download paper

Coauthors

Authors registered in RePEc who have wrote about the same topic

Report date: 2025-10-01 11:55:25 || Missing content? Let us know

CitEc is a RePEc service, providing citation data for Economics since 2001. Last updated August, 3 2024. Contact: Jose Manuel Barrueco.