1 |
F. Black and M. Scholes, The pricing of options andcorporate liabilities, J. Polit. Econ., 81 (1973), 637-654.
DOI
|
2 |
P. Wilmott, Paul Wilmott on Quantitative Finance, John Wiley and Sons (2006).
|
3 |
H. Geman and M. Yor, Bessel processes, Asian option and perpetuities, Math. Financ., 3 (1993), 349-375.
DOI
|
4 |
V. Linetsk, Spectral expansions for Asian (average price) options, Oper. Res., 52(6) (2004), 856-867.
DOI
|
5 |
A.G.Z. Kemna and A.C.F. Vorst, A pricing method for options based on average asset values, J. Bank. Financ., 14(1) (1990), 113-129.
DOI
|
6 |
J.E. Ingersoll, Theory of Financial Decision Making, Rowman and Littlefield, Savage, Md (1987).
|
7 |
L.C.G. Rogers and Z. Shi, The value of an Asian option, J. Appl. Prob., 32(4) (1995), 1077-1088.
DOI
|
8 |
J. Vecer, Unified pricing of Asian options, Risk, 15(6) (2002), 113-116.
|
9 |
J. Cox, Notes on option pricing I: Constant elasticity of variance diffusions, (1975) Working paper, Stanford University (Reprinted in Portf, J., 1996, manage 22, 15-17).
|
10 |
S.L. Heston, Closed-form solution for options with stochastic volatility with applications to bond and currency options, Rev. Financ. Stud., 6 (1993), 327-343.
DOI
|
11 |
J.P. Fouque, G. Papanicolaou, and R. Sircar, Asymptotics of a two-scale stochastic volatility model, Equations aux derivees partielles et applications, in honour of Jacques-Louis Lions, Gauthier-Villars, Paris, (1998), 517-526.
|
12 |
P. Carr, H. Geman, D. Madam, and M. Yor, Stochastic volatility for Levy processes, Math. Financ., 13(3) (2003), 345-382.
DOI
|
13 |
B. Peng, F. Peng, Pricing arithmetic Asian options under the CEV process, J. Econ. Financ. Adm. Sci., 15(29) (2010), 7-13.
|
14 |
J.P. Fouque and C.H. Han, Pricing Asian options with stochastic volatility, Quant. Financ., 3(5) (2003), 352-362.
|
15 |
D. Lemmens, L.Z. Liang, J. Tempere, and A. De Schepper, Pricing bounds for discrete arithmetic Asian options under Levy models, Physica A, 389(22) (2010), 5193-5207.
DOI
|
16 |
J.H. Kim, J.W. Lee, S.P. Zhu, and S.H. Yu, A multiscale correction to the Black-Scholes formula, Appl. Stoch. Model. Bus. 30(6) (2014), 753-765.
DOI
|
17 |
J.H. Yoon, J.H. Kim, and S.Y. Choi, Multiscale analysis of a perpetual American option with the stochastic elasticity of variance, Appl. Math. Lett., 26 (2013), 670-675.
DOI
|
18 |
S.J. Yang, M.K. Lee, and J.H. Kim, Portfolio optimization under the stochastic elasticity of variance, Stoch. Dynam., 14(03) (2014), 1350024.
DOI
|
19 |
J.H. Kim, J.H. Yoon, J. Lee, and S.Y. Choi, On the stochastic elasticity of variance diffusions, Econ. Model., 51 (2015), 263-268.
DOI
|
20 |
B. Oksendal, Stochastic Differential Equations. Springer, New York (2003).
|
21 |
L.B.G. Andersen and V.V. Piterbarg, Moment explosions in stochastic volatility models, Financ. Stoch., 11 (2007), 29-50.
|
22 |
J.P. Fouque, G. Papanicolaou, R. Sircar, and K. Solna, Multiscale Stochastic Volatility for Equity, Interest Rate and Credit Derivatives, Cambridge University Press, Cambridge (2011).
|
23 |
A.G. Ramm, A simple proof of the Fredholm alternative and a characterization of the Fredholm operators, Math. Assoc. America, 108 (2001), 855-860.
|
24 |
J.P. Fouque, G. Papanicolaou, R. Sircar, and K. Solna, Singular perturbations in option pricing, SIAM J. Appl. Math., 62(5) (2003), 1648-1665.
|