DG method for the numerical pricing of two-asset European-style Asian options with fixed strike
Applications of Mathematics (2017)
- Volume: 62, Issue: 6, page 607-632
- ISSN: 0862-7940
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top- Achdou, Y., Pironneau, O., 10.1137/1.9780898717495, Frontiers in Applied Mathematics 30 Society for Industrial and Applied Mathematics, Philadelphia (2005). (2005) Zbl1078.91008MR2159611DOI10.1137/1.9780898717495
- Alziary, B., Décamps, J.-P., Koehl, P.-F., 10.1016/S0378-4266(96)00057-X, J. Bank. Financ. 21 (1997), 613-640. (1997) DOI10.1016/S0378-4266(96)00057-X
- Black, F., Scholes, M., 10.1086/260062, J. Polit. Econ. 81 (1973), 637-654. (1973) Zbl1092.91524MR3363443DOI10.1086/260062
- Boyle, P., Broadie, M., Glasserman, P., 10.1016/S0165-1889(97)00028-6, J. Econ. Dyn. Control 21 (1997), 1267-1321. (1997) Zbl0901.90007MR1470283DOI10.1016/S0165-1889(97)00028-6
- Ciarlet, P. G., The Finite Element Method for Elliptic Problems, Studies in Mathematics and Its Applications 4, North-Holland Publishing Company, Amsterdam (1978). (1978) Zbl0383.65058MR0520174
- Cont, R., Tankov, P., 10.1201/9780203485217, Chapman & Hall/CRC Financial Mathematics Series, Chapman and Hall/CRC, Boca Raton (2004). (2004) Zbl1052.91043MR2042661DOI10.1201/9780203485217
- Cox, J. C., Ross, S. A., Rubinstein, M., 10.1016/0304-405X(79)90015-1, J. Financ. Econ. 7 (1979), 229-263. (1979) Zbl1131.91333DOI10.1016/0304-405X(79)90015-1
- Dolejší, V., Feistauer, M., 10.1007/978-3-319-19267-3, Springer Series in Computational Mathematics 48, Springer, Cham (2015). (2015) Zbl06467550MR3363720DOI10.1007/978-3-319-19267-3
- Dubois, F., Lelièvre, T., 10.21314/jcf.2005.138, J. Comput. Finance 8 (2005), 55-63. (2005) DOI10.21314/jcf.2005.138
- Eberlein, E., Papapantoleon, A., 10.1016/j.spa.2004.07.003, Stochastic Processes Appl. 115 (2005), 31-40. (2005) Zbl1114.91049MR2105367DOI10.1016/j.spa.2004.07.003
- Hale, J. K., Ordinary Differential Equations, Pure and Applied Mathematics 21, Wiley-Interscience a division of John Wiley & Sons, New York (1969). (1969) Zbl0186.40901MR0419901
- Harrison, J. M., Kreps, D. M., 10.1016/0022-0531(79)90043-7, J. Econ. Theory 20 (1979), 381-408. (1979) Zbl0431.90019MR0540823DOI10.1016/0022-0531(79)90043-7
- Haug, E. G., The Complete Guide to Option Pricing Formulas, McGraw-Hill, New York (2006). (2006)
- Hecht, F., 10.1515/jnum-2012-0013, J. Numer. Math. 20 (2012), 251-265. (2012) Zbl1266.68090MR3043640DOI10.1515/jnum-2012-0013
- Henderson, V., Wojakowski, R., 10.1239/jap/1025131434, J. Appl. Probab. 39 (2002), 391-394. (2002) Zbl1004.60042MR1908953DOI10.1239/jap/1025131434
- Hozman, J., 10.1063/1.4854760, AIP Conference Proceedings 1570 (2013), 227-234. (2013) DOI10.1063/1.4854760
- Hozman, J., Tichý, T., 10.7327/econ.2014.03.03, ECON - Journal of Economics, Management and Business 24 (2014), 141-152. (2014) DOI10.7327/econ.2014.03.03
- Hozman, J., Tichý, T., 10.2298/FIL1615253H, Filomat 30 (2016), 4253-4263. (2016) Zbl06750048MR3601917DOI10.2298/FIL1615253H
- Hozman, J., Tichý, T., 10.21136/AM.2017.0273-16, Appl. Math., Praha 62 (2017), 171-195. (2017) Zbl06738487MR3649516DOI10.21136/AM.2017.0273-16
- Hozman, J., Tichý, T., Cvejnová, D., 10.1063/1.4951846, AIP Conference Proceedings 1738 (2016), Article no. 080011. (2016) DOI10.1063/1.4951846
- J. E. Ingersoll, Jr., Theory of Financial Decision Making, Rowman & Littlefield Publishers, New Jersey (1987). (1987)
- Lions, J. L., Magenes, E., 10.1007/978-3-642-65161-8, Die Grundlehren der mathematischen Wissenschaften 181, Springer, Berlin (1972). (1972) Zbl0223.35039MR0350177DOI10.1007/978-3-642-65161-8
- Merton, R. C., 10.2307/3003143, Bell J. Econ. Manage. Sci. 4 (1973), 141-183. (1973) Zbl1257.91043MR0496534DOI10.2307/3003143
- Reed, W. H., Hill, T. R., Triangular mesh methods for the neutron transport equation, Conf. Report, National Topical Meeting on Mathematical Models and Computational Techniques for Analysis of Nuclear Systems, Ann Arbor 1973 Technical Report LA-UR-73-479, Los Alamos Scientific Laboratory, New Mexico (1973). (1973)
- Rektorys, K., Variational Methods in Engineering Problems and in Problems of Mathematical Physics, Nakladatelsví Technické Literatury, Praha Czech (1974). (1974) Zbl0371.35001MR0487652
- Rivière, B., 10.1137/1.9780898717440, Frontiers in Applied Mathematics 35, Society for Industrial and Applied Mathematics, Philadelphia (2008). (2008) Zbl1153.65112MR2431403DOI10.1137/1.9780898717440
- Rogers, L. C. G., Shi, Z., 10.2307/3215221, J. Appl. Probab. 32 (1995), 1077-1088. (1995) Zbl0839.90013MR1363350DOI10.2307/3215221
- Večeř, J., 10.21314/jcf.2001.064, J. Comput. Finance 4 (2001), 105-113. (2001) DOI10.21314/jcf.2001.064
- Večeř, J., Unified pricing of Asian options, Risk 15 (2002), 113-116. (2002)
- Wilmott, P., Dewynne, J., Howison, J., Option Pricing: Mathematical Models and Computation, Financial Press, Oxford (1993). (1993) Zbl0844.90011
- Zeidler, E., 10.1007/978-1-4612-0985-0, Springer, New York (1990). (1990) Zbl0684.47028MR1033497DOI10.1007/978-1-4612-0985-0
- Zvan, R., Forsyth, P. A., Vetzal, K., 10.21314/jcf.1997.006, J. Comput. Finance 1 (1998), 39-78. (1998) DOI10.21314/jcf.1997.006