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References 671
75. Y.Z. Bergman, D.B. Grundy, and Z. Wiener. General properties of option
prices. J. of Finance, 51:1573–1610, 1996.
76. C. Bernard, O. Le Courtois, and F. Quittard-Pinon. A new procedure for
pricing Parisian options. J. of Derivatives, 12:45–54, 2005.
77. C. Bernard, O. Le Courtois, and F. Quittard Pinon. A new procedure for
pricing Parisian options. J. of Derivatives, 12:45–54, 2005.
78. J. Bertoin. L´evy Processes. Cambridge University Press, Cambridge, 1996.
79. J. Bertoin. Subordinators: Examples and applications. In P. Bernard, editor,
Ecole d’´et´e de Saint Flour, XXVII, volume 1717 of Lecture Notes in
Mathematics, pages 1–91. Springer-Verlag, 1997.
80. J. Bertoin. Subordinators, L´evy processes with no negative jumps, and
branching processes. Lecture Notes, MaPhySto Aarhus, 2000.
81. J. Bertoin. Some elements on L´evy processes. In D.N. Shanbhag and C.R. Rao,
editors, Handbook of Statistics, pages 117–144. Elsevier, 2001.
82. J. Bertoin and J.W. Pitman. Path transformations connecting Brownian
bridge, excursion and meander. Bull. Sci. Math., 118:147–166, 1994.
83. J. Bertoin and M. Yor. Exponential functionals of L´evy processes. Probability
Surveys, 2:191–212, 2005.
84. V. Bhansali. Pricing and Managing Exotic and Hybrid Options. McGraw Hill,
1998.
85. Ph. Biane, J.W. Pitman, and M. Yor. Probability laws related to Riemann zeta
and theta functions. Bull. AMS, 38:435–469, 2001.
86. Ph. Biane and M. Yor. Valeurs principales associ´ees aux temps locaux
Browniens. Bull. Sci. Mathematics, 111:23–101, 1987.
87. Ph. Biane and M. Yor. Quelques pr´ecisions sur le m´eandre Brownien. Bull. Sci.
Mathematics, 112:101–109, 1988.
88. K. Bichteler. Stochastic Integration with Jumps. Cambridge University Press,
Cambridge, 2002.
89. T.R. Bielecki, M. Jeanblanc, and M. Rutkowski. Hedging of defaultable claims.
In R. Carmona, editor, Paris-Princeton on Mathematical Finance 2003, volume
1847 of Lecture Notes in Mathematics. Springer, 2004.
90. T.R. Bielecki, M. Jeanblanc, and M. Rutkowski. PDE approach to valuation
and hedging of credit derivatives. Quantitative Finance, 5:257–270, 2004.
91. T.R. Bielecki, M. Jeanblanc, and M. Rutkowski. Stochastic methods in credit
risk modelling, valuation and hedging. In M. Frittelli and W. Rungaldier,
editors, CIME-EMS Summer School on Stochastic Methods in Finance,
Bressanone, volume 1856 of Lecture Notes in Mathematics. Springer, 2004.
92. T.R. Bielecki, M. Jeanblanc, and M. Rutkowski. Market completeness under
constrained trading. In A.N. Shiryaev, M.R. Grossinho, P.E. Oliveira, and
M.L. Esquivel, editors, Stochastic Finance, Proceedings of International Lisbon
Conference, pages 83–107. Springer, 2005.
93. T.R. Bielecki, M. Jeanblanc, and M. Rutkowski. Completeness of a reduced-
form credit risk model with discontinuous asset prices. Stochastic Models,
22:661–687, 2006.
94. T.R. Bielecki, M. Jeanblanc, and M. Rutkowski. Hedging of basket credit
derivatives in credit default swap market. Journal of Credit Risk, 3:91–132,
2007.
95. T.R. Bielecki, M. Jeanblanc, and M. Rutkowski. Introduction to Mathematics
of Credit Risk Modeling, CIMPA School, Marrakech 2007. Forthcoming,
Hermann, Paris, 2007.
672 References
96. T.R. Bielecki, M. Jeanblanc, and M. Rutkowski. Hedging of credit default
swaptions and first-to-default swaps in cds markets. Preprint, 2008.
97. T.R. Bielecki, M. Jeanblanc, and M. Rutkowski. Pricing and trading credit
default swaps in a hazard process model. Advances in Applied Prob., 2008.
98. T.R. Bielecki, H. Jin, S.R. Pliska, and X.Y. Zhou. Continuous-time mean-
variance portfolio selection with bankruptcy prohibition. Math. Finance,
15:213–244, 2005.
99. T.R. Bielecki and M. Rutkowski. Credit risk: Modelling Valuation and Hedging.
Springer Verlag, Berlin, 2001.
100. N.H. Bingham. Fluctuation theory in continuous time. Adv. Appl. Prob., 7:705–
766, 1975.
101. N.H. Bingham and R. Kiesel. Risk-neutral Valuation. Springer-Finance, Berlin,
second edition, 2004.
102. T. Bj¨ork. Arbitrage Theory in Continuous Time. Oxford University Press,
Oxford, second edition, 2004.
103. T. Bj¨ork, Yu. Kabanov, and W.J. Runggaldier. Bond market structure in the
presence of marked point processes. Math. Finance, 40:211–239, 1997.
104. F. Black and J.C. Cox. Valuing corporate securities: Some effects of bond
indenture provisions. J. Finance, 31:351–367, 1976.
105. F. Black and M. Scholes. The pricing of options and corporate liabilities.
Journal of Political Economy, 81:637–654, 1973.
106. Ch. Blanchet-Scalliet and F. Patras. Counterparty risk valuation for cds.
Preprint, 2009.
107. R.M. Blumenthal and R.K. Getoor. Markov Processes and Potential Theory.
Academic Press, 1968.
108. L. Bondesson. Classes of infinitely divisible distributions and densities. Z.
Wahr. Verw. Gebiete, 57:39–71, 1981. Correction and addendum, Ib. 59, p.277.
109. A. Borodin and P. Salminen. Handbook of Brownian Motion: Facts and
Formulae. Birkh¨auser, second edition, 2002.
110. K. Borovkov and Z. Burq. Kendall’s identity for the first crossing time revisited.
Elec. Comm. in Probab., 6:91–94, 2001.
111. B. Bouchard-Denize. Contrˆole Stochastique Appliqu´e`a la Finance.Th`ese, Paris
1, 2000.
112. J-P. Bouchaud and M. Potters. Th´eorie des risques financiers.Al´ea-Saclay,
CEA, 1997.
113. W. Boughamoura, A.N. Pandey, and F. Trabelsi. Variance reduction with
control variate for pricing asian options in a geometric l´evy model. Preprint,
2008.
114. N. Bouleau. Martingales et march´es financiers. Odile Jacob, Paris, 2004.
115. E. Bouy´e, V. Durrleman, A. Nikeghbali, G. Riboulet, and Th. Roncalli. Copulas
for finance, a reading guide and some applications. Unpublished manuscript,
www.creditlyonnais.fr, 2000.
116. J. Bowie and P. Carr. Static simplicity. Risk, 7:45–49, 1994.
117. S.I. Boyarchenko and S.Z. Levendorskii. Option pricing and hedging under
regular L´evy processes of exponential type. In M. Kohlmann and S. Tang,
editors, Mathematical Finance
, Trends in Mathematics, pages 121–130, Basel,
2001. Birkh¨auser.
118. S.I. Boyarchenko and S.Z. Levendorskii. Barrier options and touch-and-out
options under regular L´evy processes of exponential type. The Annals of
Applied Prob., 12:1261–1298, 2002.
References 673
119. S.I. Boyarchenko and S.Z. Levendorskii. Perpetual American options under
L´evy processes. Siam J. on Control and Optimization, 40:1663–1696, 2002.
120. S.I. Boyarchenko and S.Z. Levendorskii. Non-Gaussian Merton-Black-Scholes
Theory. World scientific, Singapore, 2003.
121. P.P. Boyle and Y.S. Tian. Pricing lookback and barrier options under the CEV
model. J. of Financial and Quantitative Analysis, 34:241–264, 1999.
122. L. Breiman. First exit times from a square root boundary. In L. Le Cam and
J. Neyman, editors, Proc. 5th Berkeley Symp. Math. Statist. Prob., 2, pages
9–16. U.C. Press, Berkeley, 1966.
123. L. Breiman. Probability. Addison-Wesley, Reading MA, 1968.
124. P. Br´emaud. Point Processes and Queues: Martingale Dynamics. Springer
Verlag, Berlin, 1981.
125. P. Br´emaud and J. Jacod. Processus ponctuels et martingales: r´esultats r´ecents
sur la mod´elisation et le filtrage. Adv. Appl. Prob., 12:362–416, 1977.
126. P. Br´emaud and M. Yor. Changes of filtration and of probability measures. Z.
Wahr. Verw. Gebiete, 45:269–295, 1978.
127. M. Brennan and E. Schwartz. Evaluating natural resources investments.
Journal of Business, 58:135–157, 1985.
128. D. Brigo and A. Alfonsi. Credit default swaps calibration and option pricing
with the SSRD stochastic intensity and interest-rate model. Finance and
Stochastics, 9:29–42, 2005.
129. M. Broadie and J.B. Detemple. Option pricing: valuation models and
applications. Management Science, 50:1145–1177, 2004.
130. M. Broadie, P. Glasserman, and S. Kou. A continuity correction for discrete
barrier options. Math. Finance, 7:325–347, 1997.
131. O. Brockhaus, M. Farkas, A. Ferraris, D. Long, and M. Overhaus. Equity
Derivatives and Market Risk Models. Risk books, London, 2000.
132. J. Brossard. Deux notions ´equivalentes d’unicit´eenloipourles´equations
diff´erentielles stochastiques. In J. Az´ema, M. Emery, M. Ledoux, and M. Yor,
editors, S´eminaire de Probabilit´es XXXVII, volume 1832 of Lecture Notes in
Mathematics, pages 246–250. Springer-Verlag, 2003.
133. G. Brunick. A Weak Existence Result with Application to the Financial
Engineers Calibration Problem. PhD thesis, Carnegie Mellon, 2008.
134. R. Buckdahn. Backward stochastic differential equations and viscosity solutions
of semilinear parabolic deterministic and stochastic PDE of second order. In
R. Buckdahn, H-J. Engelbert, and M. Yor, editors, Stochastic Processes and
Related Topics, pages 1–54, London, 2001. Taylor and Francis.
135. D.K. Buecker and D. Kelly-Lyth. The value of an Asian option as a double
integral. Unpublished manuscript, 1999.
136. H. B¨uhlmann, F. Delbaen, P. Embrechts, and A.N. Shiryaev. No-arbitrage,
change of measure and conditional Esscher transform in a semi-martingale
model of stock price. CWI Quarterly, 9:291–317, 1996.
137. R.H. Cameron and W.T. Martin. Transformation of Wiener integrals under
translations. Ann. Math., 45:386–396, 1944.
138. L. Campi, S. Polbenikov, and A. Sbuelz. Systematic equity-based credit risk: A
CEV model with jump to default. Journal of Economic Dynamics and Control,
33:93–108, 2009.
139. L. Campi and A. Sbuelz. Closed form pricing of benchmark equity default
swaps under the CEV assumption. Risk Letters, 1, 2005.
674 References
140. Ph. Carmona. G´en´eralisation de la loi de l’arc sinus et entrelacements de
processus de Markov.Th`ese, Paris 6, 1994.
141. Ph. Carmona, F. Petit, and M. Yor. On the distribution and asymptotic results
for exponential functionals of L´evy processes. In M. Yor, editor, Exponential
Functionals and Principal Values Related to Brownian Motion, a Collection
of Research Papers, pages 73–126. Biblioteca de la Revista Matem´atica
Iberoamericana, Madrid, 1997.
142. R. Carmona, editor. Indifference Pricing, Theory and Applications.Princeton
University Press, Princeton, 2006.
143. R.A. Carmona, E. C¸ inlar, I. Ekeland, E. Jouini, J.A. Scheinkman, and N. Touzi,
editors. Paris-Princeton Lecture on Mathematical Finance 2002, volume 1814
of Lecture Notes in Mathematics. Springer-Verlag, 2003.
144. R.A. Carmona, E. C¸ inlar, I. Ekeland, E. Jouini, J.A. Scheinkman, and N. Touzi,
editors. Paris-Princeton Lecture on Mathematical Finance 2003, volume 1847
of Lecture Notes in Mathematics. Springer-Verlag, 2004.
145. R.A. Carmona, E. C¸ inlar, I. Ekeland, E. Jouini, J.A. Scheinkman, and N. Touzi,
editors. Paris-Princeton Lecture on Mathematical Finance, 2004, volume 1919
of Lecture Notes in Mathematics. Springer-Verlag, 2007.
146. P. Carr. Randomization and the American put. Review of Financial Studies,
11:597–626, 1998.
147. P. Carr and M. Chesney. American put-call symmetry. Unpublished
Manuscript, HEC School, 2000.
148. P. Carr and A. Chou. Hedging complex barrier options. Unpublished
manuscript, 1997.
149. P. Carr, K. Ellis, and V. Gupta. Static hedging of path-dependent options. J.
of Finance, 53:1165–1190, 1998.
150. P. Carr, H. Geman, D. Madan, and M. Yor. The fine structure of asset returns:
an empirical investigation. Journal of Business, 75:305–332, 2002.
151. P. Carr, H. Geman, D. Madan, and M. Yor. Pricing options on realized
variance. Finance and Stochastics, 9:453–475, 2005.
152. P. Carr, H. Geman, D. Madan, and M. Yor. Self-decomposability and option
pricing. Finance and Stochastics, 17:31–57, 2007.
153. P. Carr and R. Jarrow. The stop-loss start-gain paradox and option valuation:
A new decomposition into intrinsic and time value. Review of Financial Studies,
3:469–492, 1990.
154. P. Carr, R. Jarrow, and R. Myneni. Alternative characterizations of American
put options. Math. Finance, 2:87–105, 1992.
155. P. Carr, D. Madan, and E.C. Chang. The variance Gamma process and option
pricing. European Finance Review, 2:79–105, 1998.
156. P. Carr and M. Schr¨oder. Bessel processes, the integral of geometric Brownian
motion and Asian options. Theory of Probability and Its Applications, 48:400–
425, 2004.
157. L. Carraro, N. El Karoui, A. Meziou, and J. Obl´oj. On Az´ema-Yor martingales:
further properties and applications. Preprint, 2008.
158. U. C¸ etin, R. Jarrow, Ph. Protter, and Y. Yildirim. Modeling credit risk with
partial information.
The Annals of Applied Prob., 14:1167–1178, 2004.
159. T. Chan. Pricing contingent claims on stocks driven by L´evy processes. The
Annals of Applied Prob., 9:504–528, 1999.
References 675
160. T Chan. American options driven spectrally by one-sided L´evy process. In A.E.
Kyprianou, W. Schoutens, and P. Wilmott, editors, Exotic Option Pricing and
Advanced L´evy Models, pages 195–216. Wiley, 2005.
161. L. Chaumont and M. Yor. Exercises in Probability: A Guided Tour from
Measure Theory to Random Processes, via Conditioning. Cambridge University
Press, 2003.
162. A. Chen and M. Suchanecki. Default risk, bankruptcy and the market value of
life insurance liabilities. Insurance: Mathematics and Economics, 40:231–255,
2007.
163. A. Chen and M. Suchanecki. Parisian exchange options. Working paper, 2008.
164. R. Chen and L. Scott. Pricing interest rate option in a two factor Cox-Ingersoll-
Ross model of the term structure. Review Financial Studies, 5:613–636, 1992.
165. P. Cheridito. Arbitrage in fractional brownian motion models. Finance and
Stochastics, 7:533–553, 2003.
166. P. Cheridito, D. Filipovic, and M. Yor. Equivalent and absolutely continuous
measure changes for jump-diffusion processes. The Annals of Applied Prob.,
15:1713–1732, 2005.
167. A.S. Cherny. General arbitrage pricing model: probability and possibility
approaches. In C. Donati-Martin, M. Emery, A. Rouault, and Ch. Stricker,
editors, S´eminaire de Probabilit´es XL, volume 1899 of Lecture Notes in
Mathematics. Springer-Verlag, 2007.
168. A.S. Cherny and H-J. Engelbert. Singular Stochastic Differential Equations,
volume 1858 of Lecture Notes in Mathematics. Springer, 2005.
169. A.S. Cherny and A.N. Shiryaev. On criteria for the uniform integrability of
Brownian stochastic exponentials. In IOS Press, editor, Optimal Control and
Partial Differential Equations, volume in Honor of Alain Bensoussan’s 60th
Birthday, pages 80–92, 2001.
170. A.S. Cherny and A.N. Shiryaev. Change of time and measures for
L´evy processes. In Lectures for the Summer School: From L´evy Processes
to Semimartingales. Recent Theoretical Developments and Applications to
Finance. Aarhus, 2002.
171. M. Chesney, R.J. Elliott, and R. Gibson. Analytical solutions for the pricing
of American bond and yield option. Math. Finance, 3:277–294, 1993.
172. M. Chesney and L. Gauthier. American Parisian options. Finance and
Stochastics, 10:475–506, 2006.
173. M. Chesney, H. Geman, M. Jeanblanc-Picqu´e, and M. Yor. Some combinations
of Asian, Parisian and barrier options. In M.A.H. Dempster and S. Pliska,
editors, Mathematics of Derivative Securities, Publication of Newton Institute,
pages 61–87. Cambridge University Press, 1997.
174. M. Chesney and M. Jeanblanc. Pricing American currency options in an
exponential L´evy model. Applied Math. Fin., 11:207–225, 2004.
175. M. Chesney, M. Jeanblanc-Picqu´e, and M. Yor. Brownian excursions and
Parisian barrier options. Adv. Appl. Prob., 29:165–184, 1997.
176. M. Chesney, B. Marois, and R. Wojakowski. Les options de change. Economica,
Paris, 1995.
177. M. Chesney and L. Scott. Pricing European currency option: a comparison of
the modified Black-Scholes model and a random variance model. Journal of
Financial and Quantitative Analysis, 24:267–285, 1989.
676 References
178. R.J. Chitashvili and M.G. Mania. On the decomposition of a maximum of
semimartingales and Itˆo’s generalized formula. In New Trends in Probability
and Statistics, Proceedings of Bakutiani Colloquium in honor of Acad. Ju. V.
Prohorov, pages 301–360. VSP-Mokslas, 1990.
179. R.J. Chitashvili and M.G. Mania. On functions transforming a Wiener process
into a semi-martingale. Probability Theory and Related Fields, 109:57–76, 1997.
180. C.S. Chou and P-A. Meyer. Sur la repr´esentation des martingales comme
int´egrales stochastiques dans les processus ponctuels. In P-A. Meyer, editor,
S´eminaire de Probabilit´es IX, volume 1557 of Lecture Notes in Maths., pages
226–236. Springer-Verlag, 1975.
181. T. Choulli, L. Krawczyk, and Ch. Stricker. E-martingales and their applications
in mathematical finance. The Annals of Probability, 26:853–876, 1998.
182. T. Choulli and Ch. Stricker. Minimal entropy Hellinger martingale measure in
incomplete markets. Math. Finance, 15:465–490, 2005.
183. K.L. Chung. Excursions in Brownian motion. Ark. f¨ur Math., 14:155–177,
1976.
184. K.L. Chung. Lectures from Markov Processes to Brownian Motion, volume 249
of A Series of Comprehensive Studies in Mathematics. Springer-Verlag, 1982.
185. K.L. Chung. Green, Brown and Probability and Brownian motion on the line.
World Scientific, 2002.
186. K.L. Chung and R.J. Williams. Introduction to Stochastic Integration.
Birkh¨auser-Verlag, second edition, 1990.
187. K.L. Chung and Z. Zhao. From Brownian Motion to Schr¨odinger’s Equation.
Springer, Berlin, 1995.
188. E. C¸ inlar. Introduction to Stochastic Processes. Prentice Hall, 1975.
189. E. C¸ inlar, J. Jacod, Ph. Protter, and M. Sharpe. Semimartingales and Markov
processes. Z. Wahr. Verw. Gebiete, 54:161–220, 1980.
190. C. Cocozza-Thivent. Processus stochastiques et fiabilit´e des syst`emes. Springer-
Smai, Paris, 1997.
191. P. Collin-Dufresne and J.N. Hugonnier. Pricing and hedging of contingent
claims in the presence of extraneous risks. Stochastic Processes and Appli.,
117:742–765, 2007.
192. R. Cont and P. Tankov. Financial Modeling with Jump Processes. Chapman &
Hall/CRC, 2004.
193. A. Conze and R. Viswanathan. Path dependent options: the case of lookback
options. J. of Finance, 46:1893–1907, 1991.
194. J.M. Corcuera, P. Imkeller, A. Kohatsu-Higa, and D. Nualart. Additional
utility of insiders with imperfect dynamical information. Finance and
Stochastics, 8:437–450, 2004.
195. J.M. Corcuera, D. Nualart, and W. Schoutens. Completion of a L´evy market
by power-jump assets. Finance and Stochastics, 9:109–127, 2005.
196. M.J. Cornwall, M. Chesney, M. Jeanblanc-Picqu´e, G.W. Kentwell, and M. Yor.
Parisian barrier options : a discussion. Risk Magazine, 10:77–79, 1997.
197. D. Cossin and H. Pirotte. Advanced Credit Risk Analysis. Wiley, Chichester,
2001.
198. M. Costabile. A combinatorial approach for pricing Parisian options. Decisions
in Economics and Finance, 25:111–125, 2002.
199. J.M. Courtault and Yu. Kabanov. Louis Bachelier. Aux origines de la finance
math´ematique. Presses Universitaires Franc-Comtoises, 2002.
References 677
200. S. Coutant, V. Durrleman, G. Rapuch, and T. Roncalli. Copulas, multivariate
risk-neutral distributions and implied dependence functions. Preprint,
www.creditlyonnais.fr, 2001.
201. L. Coutin. Fractional Brownian motion. In C. Donati-Martin, M. Emery, A.
Rouault, and Ch. Stricker, editors, S´eminaire de Probabilit´es XL, volume 1899
of Lecture Notes in Mathematics. Springer-Verlag, 2007.
202. R. Coviello and F. Russo. Modeling financial assets without semimartingale.
Preprint, 2006.
203. A.M.G. Cox and D. Hobson. Local martingales, bubbles and option prices.
Finance and Stochastics, 9:477–492, 2005.
204. J. Cox and M. Rubinstein. Options Markets. Prentice-Hall. Englewood Cliffs.,
1991.
205. J.C. Cox. Notes on option pricing (I): Constant elasticity of variance diffusions.
Journal of Portfolio Management, 22:15–17, 1996.
206. J.C. Cox, J.E. Ingersoll, and S.A. Ross. A theory of term structure of interest
rates. Econometrica, 53:385–408, 1985.
207. S. Cr´epey. Calibration of the local volatility in a generalized Black-
Scholes model using Tikhonov regularization. SIAM Journal on Mathematical
Analysis, 2003.
208. J. Cvitani´c and I. Karatzas. Hedging contingent claims with constrained
portfolios. The Annals of Applied Prob., 3:652–681, 1993.
209. R-A Dana and M. Jeanblanc. Financial Markets in Continuous Time,
Valuation and Equilibrium. Springer-Finance, Berlin, second edition, 2007.
210. H.E. Daniels. The first crossing time density for Brownian motion with a
perturbed linear boundary. Bernoulli, 6:571–580, 2000.
211. A. Dassios. The distribution of the quantile of a Brownian motion with drift
and the pricing of related path dependent options. The Annals of Applied Prob.,
5:389–398, 1995.
212. A. Dassios. On the quantiles of Brownian motion and their hitting times.
Bernoulli, 11:29–36, 2005.
213. A. Dassios. On Parisian type ruin probabilities. Preprint, 2006.
214. A. Dassios and J. Nagaradjasarma. The square root process and Asian options.
Quantitative Finance, 6:337–347, 2006.
215. A. Dassios and S. Wu. Brownian excursions in a corridor and related Parisian
options. Preprint, 2008.
216. A. Dassios and S. Wu. Brownian excursions outside a corridor and two-sided
Parisian options. Preprint, 2008.
217. A. Dassios and S. Wu. Two-sided Parisian options with a single barrier.
Preprint, 2008.
218. M.H. Davis, D. Duffie, W. Fleming, and S.E. Shreve, editors. Math. Finance.
IMA, Springer-Verlag. Springer-Verlag, 1995.
219. M.H.A. Davis. The representation of martingales of jump processes. Siam J.
Control and Optim., 14:623–638, 1976.
220. M.H.A. Davis. Option Pricing in Incomplete Markets. In M.A.H. Dempster
and S.R. Pliska, editors, Mathematics of Derivative Securities, Publication of
the Newton Institute, pages 216–227. Cambridge University Press, 1997.
221. M.H.A. Davis. Mathematics of financial markets. In E. Bjorn and W. Schmid,
editors, Mathematics Unlimited: 2001 and Beyond, Berlin, 2001. Springer-
Verlag.
678 References
222. M.H.A. Davis. Martingale representation and all that. In E.H. Abed,
editor, Advances in Control, Communication Networks, and Transportation
Systems: In Honor of Pravin Varaiya, Systems and Control: Foundations and
Applications Series, Boston, 2005. Birkh¨auser.
223. M.H.A. Davis and J. Obl´oj. Market completion using options. Preprint, 2007.
224. M.H.A. Davis and P. Varaiya. On the multiplicity of an increasing family of
sigma-fields. The Annals of Probability., 2:958–963, 1974.
225. D. Davydov and V. Linetsky. Pricing and hedging path-dependent options
under the CEV process. Management Science, 47:949–965, 2001.
226. D. Davydov and V. Linetsky. Structuring, pricing and hedging double barrier
step options. Journal of Computational Finance, 45:55–87, 2002. Winter
227. D. Davydov and V. Linetsky. Pricing options on scalar diffusions: an
eigenfunction expansion approach. Oper. Res., 51:185–209, 2003.
228. R.D. DeBlassie. One dimensional scale invariant diffusions. Stochastics and
Stochastics Reports, 70:131–151, 2000.
229. G. Deelstra and G. Parker. A covariance equivalent discretization of the
CIR model. Proceedings of the 5th AFIR International Colloquium, 2:731–747,
1995.
230. F. Delbaen. Consols in the CIR model. Math. Finance, 53:125–134, 1993.
231. F. Delbaen, P. Grandits, Th. Rheinl¨ander, D. Sampieri, M. Schweizer, and Ch.
Stricker. Exponential hedging and entropic penalties. Math. Finance, 12:99–
124, 2002.
232. F. Delbaen, P. Monat, W. Schachermayer, M. Schweizer, and Ch. Stricker.
Weighted norm inequalities and hedging in incomplete markets. Finance and
Stochastics, 1:181–227, 1997.
233. F. Delbaen and W. Schachermayer. A general version of the fundamental
theorem of asset pricing. Math. Annal, 300:463–520, 1994.
234. F. Delbaen and W. Schachermayer. The existence of absolutely continuous
local martingale measures. The Annals of Applied Prob., 5:926–945, 1995.
235. F. Delbaen and W Schachermayer. No-arbitrage and the Fundamental Theorem
of Asset Pricing: summary of main results. In D. Heath and G. Swindle, editors,
Introduction to Mathematical finance, Proceedings of Symposia in Applied
mathematics, pages 49–58, Providence, 1999. American Mathematical Society.
236. F. Delbaen and W. Schachermayer. The Mathematics of Arbitrage. Springer,
Berlin, 2005.
237. F. Delbaen and H. Shirakawa. Arbitrage possibilities in Bessel processes and
their relations to local martingales. Probab. Theory Related Fields, 3:357–366,
1995.
238. F. Delbaen and H. Shirakawa. A note on option pricing for constant elasticity
of variance model. Asia-Pacific Financial Markets, 9:85–99, 2002.
239. F. Delbaen and M. Yor. Passport options. Math. Finance, 12:299–328, 2002.
240. C. Dellacherie. Capacit´es et processus stochastiques, volume 67 of Ergebnisse.
Springer, 1972.
241. C. Dellacherie, B. Maisonneuve, and P-A. Meyer. Probabilit´es et Potentiel,
chapitres XVII-XXIV, Processus de Markov (fin). Compl´ements de calcul
stochastique. Hermann, Paris, 1992.
242. C. Dellacherie and P-A. Meyer. Probabilit´es et Potentiel, chapitres I-IV.
Hermann, Paris, 1975. English translation: Probabilities and Potentiel,
chapters I-IV, North-Holland, (1982).
References 679
243. C. Dellacherie and P-A. Meyer. A propos du travail de Yor sur les
grossissements des tribus. In C. Dellacherie, P-A. Meyer, and M. Weil, editors,
S´eminaire de Probabilit´es XII, volume 649 of Lecture Notes in Mathematics,
pages 69–78. Springer-Verlag, 1978.
244. C. Dellacherie and P-A. Meyer. Probabilit´es et Potentiel, chapitres V-VIII.
Hermann, Paris, 1980. English translation : Probabilities and Potentiel,
chapters V-VIII, North-Holland, (1982).
245. D.M. Delong. Crossing probabilities for a square root boundary for a Bessel
process. Comm. Statist A-Theory Methods, 10:2197–2213, 1981.
246. B. DeMeyer, B. Roynette, P. Vallois, and M. Yor. On independent times and
positions for Brownian motions. CRAS Paris, 233:1017–1022, 2001.
247. B. DeMeyer, B. Roynette, P. Vallois, and M. Yor. On independent times and
positions for Brownian motions. Revista Matem´atica Iberoamericana, 18:541–
586, 2002.
248. M.A.H. Dempster, editor. Risk Management Value at Risk and Beyond.
Cambridge University Press, 2002.
249. M.A.H. Dempster and S.R. Pliska, editors. Mathematics of Derivative
Securities. Cambridge University Press, Cambridge, 1997.
250. E. Derman and I. Kani. Riding on a smile. Risk, 6:18–20, 1994.
251. J. Detemple. American options symmetry properties. In E. Jouini, J. Cvitani´c,
and M. Musiela, editors, Option Pricing, Interest Rates and Risk Management,
pages 67–104. Cambridge University Press, 2001.
252. J. Detemple. American-style Derivatives Valuation and Computation, volume
4ofFinancial Mathematics Series. Chapman & Hall/CRC, 2005.
253. A.K. Dixit. Entry and exit decisions under uncertainty. The Journal of Political
Economy, 97:620–638, 1989.
254. A.K. Dixit and R. Pindyck. Investment under Uncertainty.Princeton
University Press, 1994.
255. W. Doeblin. Sur l’´equation de Kolmogoroff. CRAS, special issue, December,
331:1059–1100, 2000.
256. C. Dol´eans-Dade and P-A. Meyer. Int´egrales stochastiques par rapport aux
martingales locales. In P-A. Meyer, editor, S´eminaire de Probabilit´es IV,
volume 1224 of Lecture Notes in Mathematics, pages 77–107. Springer-Verlag,
1970.
257. C. Dol´eans-Dade and P-A. Meyer. Une caract´erisation de BMO. In P-A.
Meyer, editor, S´eminaire de Probabilit´es XI, volume 581 of Lecture Notes in
Mathematics, pages 383–389. Springer-Verlag, 1977.
258. C. Donati-Martin, R. Ghomrasni, and M. Yor. On certain Markov processes
attached to exponential functionals of Brownian motion: Applications to Asian
options. Revista Matem´atica Iberoamericana, 17:179–193, 2001.
259. C. Donati-Martin, H. Matsumoto, and M. Yor. The law of geometric Brownian
motion and its integral, revisited; Application to conditional moments. In H.
Geman, D. Madan, S.R. Pliska, and T. Vorst, editors, Mathematical Finance,
Bachelier Congress 2000, Springer Finance, pages 221–243. Springer-Verlag,
2002.
260. R.A. Doney. Fluctuation theory for L´
evy processes. In P. Bernard, editor, Ecole
d’´et´e de Saint Flour, XXXV, volume 1897 of Lecture Notes in Mathematics.
Springer-Verlag, 2005.
261. H. Doss. Liens entre ´equations diff´erentielles stochastiques et ordinaires. Ann.
Inst. H. Poincar´e, 13:99–125, 1977.
680 References
262. R. Douady. A convolution method for option pricing European and barrier
options. Unpublished manuscript, 1996.
263. R. Douady. Closed form formulas for exotic options and their lifetime
distribution. International Journal of Theoretical and Applied Finance, 2:17–
42, 1999.
264. R. Douady and M. Jeanblanc. A rating-based model for credit derivatives.
European Investment Review, 1:17–29, 2002.
265. M. Dozzi and P. Vallois. Level crossing for certain processes without positive
jumps. Bull. Sci. math., 121:355–376, 1997.
266. M. Dritschel and Ph. Protter. Complete markets with discontinuous security
price. Finance and Stochastics, 3:203–214, 1999.
267. L. Dubins, J. Feldman, M. Smorodinsky, and B. Tsirel’son. Decreasing
sequences of σ-fields and a measure change for Brownian motion. The Annals
of Probability, 24:882–904, 1996.
268. L. Dubins and G. Schwarz. On continuous martingales. Proc.Nat.Acad.Sci.
USA, 53:913–916, 1965.
269. R.M. Dudley. Wiener functionals as Itˆointegrals.The Annals of Probability,
5:140–141, 1977.
270. D. Duffie. Dynamic Asset Pricing Theory. Princeton University Press,
Princeton, third edition, 2001.
271. D. Duffie. Credit Risk Modeling with Affine Processes. Scuola Normale
Superiore, Pisa, 2004.
272. D. Duffie, D. Filipovi´c, and W. Schachermayer. Affine processes and
applications in finance. The Annals of Applied Prob., 13:984–1053, 2003.
273. D. Duffie and D. Lando. Term structure of credit spreads with incomplete
accounting information. Econometrica, 69:633–664, 2000.
274. D. Duffie, J. Pan, and K. Singleton. Transform analysis and asset pricing for
affine jump-diffusions. Econometrica, 68:1343–1376, 2000.
275. D. Duffie and K. Singleton. Modeling term structure of defaultable bonds.
Review of Financial Studies, 12:687–720, 1998.
276. D. Duffie and K. Singleton. Credit Risk: Pricing, Measurement and
Management. Princeton University Press, Princeton, 2002.
277. D. Dufresne. Weak convergence of random growth processes with applications
to insurance. Insurance: Mathematics and Economics, 8:187–201, 1989.
278. D. Dufresne. Algebraic properties of beta and gamma distributions, and
applications. Advances in Applied Mathematics, 20:285–299, 1998.
279. D. Dufresne. Laguerre series for Asian and other options. Math. Finance,
10:407–428, 2000.
280. D. Dufresne. The integral of geometric Brownian motion. Adv. Appl. Prob.,
33:223–241, 2001.
281. D. Dufresne. The integrated square root process. Preprint, 2002.
282. D. Dufresne. Bessel processes and Asian options. In H. Ben-Ameur and
M. Breton, editors, Numerical Methods in Finance, pages 35–57. Springer,
2005.
283. B. Dupire. Pricing with a smile. Risk Magazine, 7:17–20, 1994.
284. B. Dupire. Pricing and hedging with smile. In M.A.H. Dempster and S.R.
Pliska, editors, Mathematics of Derivative Securities, Isaac Newton Institute,
pages 103–111. Cambridge University Press, 1997.