[1]
|
F. Black and M. Scholes, “The Pricing of Options and Corporate Liabilities,” Journal of Political Economy, Vol. 81, No. 3, 1973, pp. 637-659. doi:10.1086/260062
|
[2]
|
R. C. Merton, “Theory of Rational Option Pricing,” Bell Journal of Economics and Management Science, Vol. 4, No. 1, 1973, pp. 141-183. doi:10.2307/3003143
|
[3]
|
C. Profeta, B. Roynette and M. Yor, “Option Prices as Probabilities,” Springer, New York, 2010.
doi:10.1007/978-3-642-10395-7
|
[4]
|
B. Ferebee, “The Tangent Approximation to One-Sided Brownian Exit Densities,” Z. Wahrscheinlichkeitsth, Vol. 61, No. 3, 1982, pp. 309-326. doi:10.1007/BF00539832
|
[5]
|
G. R. Grimmett and D. R. Stirzaker, “Probability and Random Processes,” Oxford University Press, New York, 1982.
|
[6]
|
J. Cuzick, “Boundary Crossing Probabilities for Stationary Gaussian Processes and Brownian Motion,” Transactions of the American Mathematical Society, Vol. 263, No. 2, 1981, pp. 469-492.
doi:10.1090/S0002-9947-1981-0594420-5
|
[7]
|
J. Durbin, “The First-Passage Density of a Continuous Gaussian Process to a General Boundary,” Journal of Applied Probability, Vol. 22, No. 1, 1985, pp. 99-122.
doi:10.2307/3213751
|
[8]
|
P. Salminen, “On the First Hitting Time and the Last Exit Time for a Brownian Motion to/from a Moving Boundary,” Advances in Applied Probability, Vol. 20, No. 2, 1988, pp. 411-426. doi:10.2307/1427397
|
[9]
|
A. Martin-L?f, “The Final Size of a Nearly Critical Epidemic and the First Passage Time of a Wiener Process to a Parabolic Barrier,” Journal of Applied Probability, Vol. 35, No. 3, 1998, pp. 671-682.
doi:10.1239/jap/1032265215
|
[10]
|
L. Breiman, “Probability,” SIAM, Philadelphia, 1992.
doi:10.1137/1.9781611971286
|
[11]
|
J. Kevorkian, “Partial Differential Equations: Analytical Solution Techniques,” Wadsworth, Belmont, 1990.
|
[12]
|
F. John, “Partial Differential Equations,” 4th Edition, Springer-Verlag, New York, 1982.
|
[13]
|
S. M. Ross, “Stochastic Processes,” John Wiley & Sons, New York, 1983.
|