1 |
C. Ahn, H. Choe, and K. Lee, A long time asymptotic behavior of the free boundary for an American put, Proc. Amer. Math. Soc. 137 (2009), no. 10, 3425-3436.
DOI
ScienceOn
|
2 |
K. Amin and A. Khanna, Convergence of American option values from discrete-to continuous-time financial models, Math. Finance 4 (1994), no. 4, 289-304.
DOI
|
3 |
J. Tsitsiklis and B. Van Roy, Regression analysis for pricing complex American-style options, IEEE Transactions on Neural Networks 12 (2001), 694-703.
DOI
ScienceOn
|
4 |
P. van Moerbeke, On optimal stopping and free boundary problems, Arch. Ration. Mech. Anal. 60 (1975/76), no. 2, 101-148.
DOI
|
5 |
P. Wilmott, J. Dewynne, and S. Howison, Option Pricing, Oxford University Press, 1993.
|
6 |
D. N. Ostrove and J. Goodman, On the early exercise boundary of the American put option, SIAM J. Appl. Math. 62 (2002), 1823-1835.
DOI
ScienceOn
|
7 |
L.Wu and Y. Kwok, A front-fixing finite difference method for the valuation of American options, Journal of Financial Engineering 6 (1997), 83-97.
|
8 |
R. Zvan, P. Forsyth, and K. Vetzal, Penalty methods for American options with stochastic volatility, J. Comput. Appl. Math. 91 (1998), no. 2, 199-218.
DOI
ScienceOn
|
9 |
S. Zhu, An exact and explicit solution for the valuation of American put options, Quant. Finance 6 (2006), no. 3, 229-242.
DOI
ScienceOn
|
10 |
M. Parkinson, Option pricing: the American put, Journal of Business 50 (1977), 21-36.
DOI
ScienceOn
|
11 |
L. Rogers, Monte Carlo valuation of American options, Math. Finance 12 (2002), no. 3, 271-286.
DOI
ScienceOn
|
12 |
S. Peng, Nonlinear expectations, nonlinear evaluations and risk measures, Stochastic methods in finance, 165-253, Lecture Notes in Math., 1856, Springer, Berlin, 2004.
|
13 |
R. Rendleman and B. Bartter, Two-state option pricing, Journal of Finance 34 (1979), 1093-1110.
DOI
|
14 |
F. Riedel, Optimal stopping with multiple priors, Econometrica 77 (2009), no. 3, 857-908.
DOI
ScienceOn
|
15 |
P. Samuelson, Rational theory of warrant pricing, Industrial Management Review 6 (1965), 13-31.
|
16 |
M. Schroder, Changes of numeraire for pricing futures, forwards and options, Review of Financial Studies 12 (1989), 1143-1163.
|
17 |
E. Schwartz, The valuation of warrants: implementing a new approach, Journal of Financial Economics 4 (1977), 79-93.
DOI
ScienceOn
|
18 |
R. Stamicar, D. Sevcovic, and J. Chadam, The early exercise boundary for the American put near expiry: numerical approximation, Can. Appl. Math. Q. 7 (1999), no. 4, 427-444.
|
19 |
D. Tavella and C. Randall, Pricing Financial Instruments: The Finite difference Method, John Wiley & Sons, 2000.
|
20 |
J. Tilley, Valuing American options in a path simulation model, Transactions of the Society of Actuaries 45 (1993), 83-104.
|
21 |
L. Trigeorgis, Real Options in Capital Investment, Praeger, 1995.
|
22 |
I. Karatzas and S. Shreve, Methods of Mathematical Finance, New York, Springer-Verlag, 1998.
|
23 |
R. A. Kuske and J. B. Keller, Optimal exercise boundary for an american put option, Appl. Math. Finance 5 (1998), 107-116.
DOI
|
24 |
I. Kim, The analytic valuation of American options, Review of Financial Studies 3 (1990), 547-572.
DOI
ScienceOn
|
25 |
I. Kim and S. Byun, Optimal exercise boundary in a binomial option pricing model, Journal of Financial Engineering 3 (1994), 137-158.
|
26 |
I. Kim and B. Jang, An Alternative Numerical Approach for Valuation of American Options: A Simple Iteration Method, Working Paper, 2008.
|
27 |
A. Longstaff and E. Schwartz, Valuing American options by simulation: a simple leastsquares approach, Review of Financial Studies 14 (2001), 113-147.
DOI
ScienceOn
|
28 |
R. MacDonald and M. Schroder, A parity result for American options, J. Comput. Finance 1 (1998), 5-13.
|
29 |
L. MacMillan, An analytical approximation for the Amercian put prices, Advances in Futures and Options Research 1 (1986), 119-139.
|
30 |
H. McKean, Appendix: a free boundary problem for the heat equation arising from a problem in mathematical economics, Industrial Management Review 6 (1965), 32-39.
|
31 |
R. Merton, The theory of rational option pricing, Bell Journal of Economics and Management Science 4 (1973), 141-183.
DOI
ScienceOn
|
32 |
G. Meyer and J. van der Hoek, The Evaluation of American Options with the Method of Lines, Working Paper, 1994.
|
33 |
Oosterlee, On multigrid for linear complementary problems with applications to American-style options, Electron. Trans. Numer. Anal. 16 (2003), 165-185.
|
34 |
S. Ikonen and J. Toivanen, Operator splitting methods for American option pricing, Appl. Math. Lett. 17 (2004), no. 7, 809-814.
DOI
ScienceOn
|
35 |
J. Huang, M. Subrahmanyam, and G. Yu, Pricing and hedging of American options: a recursive integration method, Review of Financial Studies 9 (1996), 277-300.
DOI
ScienceOn
|
36 |
J. Hull, Options, Futures, and Other Derivatives, 7th ed., Pearson Education, 2009.
|
37 |
J. Hull and A. White, The pricing of options on assets with stochastic volatilities, Journal of Finance 42 (1987), 281-300.
DOI
|
38 |
S. Ikonen and J. Toivanen, Operator splitting methods for pricing American options with stochastic volatility, Technical Report B11/2004, University of Jyvaskyla, 2004.
|
39 |
S. Ikonen and J. Toivanen, Componentwise splitting methods for pricing American options with stochastic volatility, Technical Report B7/2005, University of Jyvaskyla, 2005.
|
40 |
S. Ikonen and J. Toivanen, Efficient numerical methods for pricing American options under stochastic volatility, Technical Report B12/2005, University of Jyvaskyla, 2005.
|
41 |
S. D. Jacka, Optimal stopping and the American put, Math. Finance 1 (1991), 1-14.
|
42 |
B. Jang and H. Koo, American Put Options with Regime-Switching Volatility, Working Paper, 2005.
|
43 |
H. Johnson, An analytic approximation for the American put price, Journal of Financial and Quantitative Analysis 18 (1983), 141-148.
DOI
ScienceOn
|
44 |
N. Ju, Pricing an American option by approximating its early exercise boundary as a multi-piece exponential function, Review of Financial Studies 11 (1998), 627-646.
DOI
ScienceOn
|
45 |
B. Gao, J. Huang, and M. Subrhamanyam, The valuation of American barrier options using the decomposition technique, J. Econom. Dynam. Control 24 (2000), 1783-1827.
DOI
ScienceOn
|
46 |
I. Karatzas, On the pricing of American options, Appl. Math. Optim. 17 (1988), no. 1, 37-60.
DOI
|
47 |
P. Forsyth and K. Vetzal, Quadratic convergence for valuing American options using a penalty method, SIAM J. Sci. Comput. 23 (2002), no. 6, 2095-2122.
DOI
ScienceOn
|
48 |
J. Fouque, G. Papanicolau, and K. Sircar, Derivatives in Financial Markets with Stochastic Volatility, Cambridge University Press, 2000.
|
49 |
R. Geske and H. Johnson, The American put options valued analytically, Journal of Finance 39 (1984), 229-263.
DOI
|
50 |
I. Gilboa and Schmeidler, Maxmin expected utility with non-unique prior, J. Math. Econom. 18 (1989), 141-153.
DOI
ScienceOn
|
51 |
P. Glasserman, Monte Carlo Methods in Financial Engineering, Applications of Mathematics (New York), 53. Stoch. Model. Appl. Probab., Springer-Verlag, New York, 2004.
|
52 |
O. Grabbe, The pricing of call and put options on foreign exchange, Journal of International Money and Finance 2 (1983), 239-253.
DOI
ScienceOn
|
53 |
S. J. Grossman, The Information Role of Prices, The MIT Press, 1989.
|
54 |
S. Guo and Q. Zhang, Closed-form solutions for perpetual American put options with regime switching, SIAM J. Appl. Math. 64 (2004), no. 6, 2034-2049.
DOI
ScienceOn
|
55 |
S. L. Heston, A closed-form solution for options with stochastic volatility with applications to bond and currency options, Review of Financial Studies 6 (1993), 327-343.
DOI
ScienceOn
|
56 |
P. Carr, Randomization and the American put, Review of Financial Studies 81 (1998), 597-626.
|
57 |
Y. Hu and S. Tang, Multi-dimensional BSDE with oblique reflection and optimal switching, forthcoming in Probab. Theory Related Fields, 2009.
|
58 |
D. A. Bunch and H. Johnson, The American put option and its critical stock price, Journal of Finance 55 (2000), 2333-2356.
DOI
ScienceOn
|
59 |
S. Byun and I. Kim, Relationship between American puts and calls on futures, J. Korean Soc. Ind. Appl. Math. 4 (2000), 11-20.
|
60 |
P. Carr and D. Faguet, Valuing Finite-Lived Options as Perpetual, Working Paper, 1996.
|
61 |
P. Carr, R. Jarrow, and R. Myneni, Alternative characterizations of American put options, Math. Finance 2 (1992), 87-106.
DOI
|
62 |
X. Chen and J. Chadam, A mathematical analysis for the optimal exercise boundary of American put option, SIAM J. Math. Anal. 38 (2007), 1613-1641.
DOI
ScienceOn
|
63 |
N. Clarke and K. Parrot, The multigrid solution of two-factor American put options, Technical Report 96-16, (1996), Oxford Computing Laboratory, Oxford.
|
64 |
J. Cox, S. Ross, and M. Rubinstein, Option pricing: a simplified approach, Journal of Financial Economics 7 (1979), 141-148.
|
65 |
M. Davis and I. Karatzas, A deterministic approach to optimal stopping, with applications, in Probability, Statistics and Optimization: A Tribute to Peter Whittle, F. Kelley, ed., (1994), 455-466, Wiley.
|
66 |
J. Detemple, American-Style Derivatives, Chapman & Hall/CRC Financial Mathematics Series, 2006.
|
67 |
A. Dixit and R. Pindyck, Investment Under Uncertainty, Princeton University Press, 1994.
|
68 |
L. Andersen and M. Broadie, A primal-dual simulation algorithm for pricing multidimensional American options, Management Science 50 (2004), 1222-1234.
DOI
ScienceOn
|
69 |
H. Follmer, Financial uncertainty, risk measures and robust preferences, Aspects of Mathematical Finance, 3-13, Springer, Berlin, 2008.
|
70 |
L. Andersen, A simple approach to the pricing of Bermudan swaptions in the multifactor LIBOR market model, J. Comput. Finance 3 (2000), 1-32.
|
71 |
G. Barone-Adesi and R. Whaley, Efficient analytic approximation of American option values, Journal of Finance 42 (1987), 301-320.
DOI
|
72 |
A. Bensoussan, On the theory of option pricing, Acta Appl. Math. 2 (1984), no. 2, 139-158.
|
73 |
F. Black and M. Scholes, The pricing of options and corporate liabilities, Journal of Political Economy 81 (1973), 637-654.
DOI
ScienceOn
|
74 |
M. Brennan and E. Schwartz, The valuation of American put options, Journal of Finance 32 (1977), 449-462.
DOI
ScienceOn
|
75 |
S. Byun, Numerical procedures for valuing american options, Ph. D. dissertation, KAIST, 1996.
|
76 |
M. Brennan and E. Schwartz, Finite difference methods and jump processes arising in the pricing of contingent claims: a synthesis, Journal of Financial and Quantitative Analysis 13 (1978), 461-474.
DOI
ScienceOn
|
77 |
M. Broadie and J. Detemple, American option valuation: new bounds, approximations, and a comparison of existing methods, Review of Financial Studies 9 (1996), 1211-1250.
DOI
ScienceOn
|
78 |
M. Broadie and J. Detemple, Option pricing: valuation models and applications, Management Science 50 (2004), 1145-1177.
DOI
ScienceOn
|
79 |
P. Boyle, Options: a Monte Carlo approach, Journal of Financial Economics, 4 (1977), 328-338.
|
80 |
M. Broadie and P. Glasserman, Pricing American-style securities using simulation, J. Econom. Dynam. Control 21 (1997), no. 8-9, 1323-1352.
DOI
ScienceOn
|