@article{AMBP_1997__4_1_93_0,
author = {van den Berg, I.P. and Koudjeti, F.},
title = {From binomial expectations to the Black-Scholes formula : the main ideas},
journal = {Annales math\'ematiques Blaise Pascal},
volume = {4},
year = {1997},
pages = {93-101},
mrnumber = {1442337},
zbl = {0895.60020},
language = {en},
url = {http://dml.mathdoc.fr/item/AMBP_1997__4_1_93_0}
}
van den Berg, I. P.; Koudjeti, F. From binomial expectations to the Black-Scholes formula : the main ideas. Annales mathématiques Blaise Pascal, Tome 4 (1997) pp. 93-101. http://gdmltest.u-ga.fr/item/AMBP_1997__4_1_93_0/
[1] . A nonstandard representation for brownian motion and itô integration. Israel Math. J., 25:15-46, 1976. | MR 464380 | Zbl 0353.60052
[2] . Random walks and stochastic differential equations. In F.Diener and M. Diener, Nonstandard Analysis in Practice, pages 71-90. Springer Verlag Universitext, 1995. | MR 1396798
[3] and . On binomial expectations and option pricing. SOM, RUG, Groningen, The Netherlands, 95A06, 1995.
[4] and . The pricing of options and corporate liabilities. Journal of Political Economy, pages 637-654, May-June 1973. | MR 3363443 | Zbl 1092.91524 | Zbl 01602446
[5] , , and . Option pricing: a simplified approach. Journal of Financial Economics, 7:229-263, July 1979. | Zbl 1131.91333
[6] , , and . A nonstandard approach to option pricing. Mathematical finance, 1(16):1-38, 1991. | Zbl 0900.90104
[7] and . Analyse Non Standard. Enseignement des sciences. Hermann Editeurs, Paris, 1989. | MR 1026099 | Zbl 0682.26010
[8] . Security markets, stochastic models. Economic theory, econometrics and mathematical economics. Academic Press Inc., London, UK, 1988. | MR 955269 | Zbl 0661.90001
[9] and . Martingales and stochastic integrals in the theory of continuous trading. Stochastic processes and their applications, 11:215-260, 1981. | MR 622165 | Zbl 0482.60097
[10] . Elements of external calculus with an application to mathematical finance. Theses on Systems, Organisations and Management. Capelle a/d IJssel, Labyrint Publication, The Netherlands, June 1995.
[11] and . Neutrices, external numbers and external calculus. In F. Diener and M. Diener, Nonstandard Analysis in Practice, pages 145-170. Springer Verlag Universitext, 1995. | MR 1396801
[12] . Conversion from nonstandard to standard measure spaces and applications in probability theory. Trans. Amer. Math. Soc., 211:113-122,1975. | MR 390154 | Zbl 0312.28004
[13] and . Nonstandard analysis: a practical guide with applications, volume 881 of Lecture Notes in Mathematics. Springer verlag, 1981. | MR 643624 | Zbl 0506.03021
[14] . Internal set theory: A new approach to nonstandard analysis. Bulletin of the American Mathematical Society, 83(6):1165-1198, November 1977. | MR 469763 | Zbl 0373.02040
[15] . Radically Elementary Probability Theory, volume 117 of Annals of Mathematical Studies. Princeton University Press, 1987. | MR 906454 | Zbl 0651.60001
[16] . Non-standard Analysis, 2nd edition. North-Holland Pub. Co., 1974. | MR 205854