# Elsevier

# Insurance: Mathematics and Economics

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**Current editor:**Hansjoerg Albrecher

**Current editor:**M. J. Goovaerts

**Current editor:**E. S. W. Shiu

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Marc Goovaerts
**For corrections or technical questions regarding this series, please contact (Dana Niculescu)**

**Series handle:**repec:eee:insuma

**ISSN:**0167-6687

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### December 2001, Volume 29, Issue 3

**333-344 On the time to ruin for Erlang(2) risk processes***by*Dickson, David C. M. & Hipp, Christian**345-355 On a gamma series expansion for the time-dependent probability of collective ruin***by*Albrecher, Hansjorg & Teugels, Jozef L. & Tichy, Robert F.**357-373 Bivariate analysis of survivorship and persistency***by*Valdez, Emiliano A.**375-386 An improved finite-time ruin probability formula and its Mathematica implementation***by*Ignatov, Zvetan G. & Kaishev, Vladimir K. & Krachunov, Rossen S.

### October 2001, Volume 29, Issue 2

**167-185 On robustness in risk theory***by*Marceau, Etienne & Rioux, Jacques**187-215 Pensionmetrics: stochastic pension plan design and value-at-risk during the accumulation phase***by*Blake, David & Cairns, Andrew J. G. & Dowd, Kevin**217-229 Approximating the finite-time ruin probability under interest force***by*Brekelmans, Ruud & De Waegenaere, Anja**231-245 Uncertainty in mortality projections: an actuarial perspective***by*Olivieri, Annamaria**247-255 On the distribution of surplus immediately after ruin under interest force***by*Yang, Hailiang & Zhang, Lihong**257-269 The reset decision for segregated fund maturity guarantees***by*Armstrong, Michael J.**271-290 Toward a theory of reinsurance and retrocession***by*Powers, Michael R. & Shubik, Martin**291-296 Probability of ruin with variable premium rate in a Markovian environment***by*Jasiulewicz, Helena

### August 2001, Volume 29, Issue 1

**1-21 Valuation of segregated funds: shout options with maturity extensions***by*Windcliff, H. & Forsyth, P. A. & Vetzal, K. R.**23-34 Stochastic models for broker inventory in dealership markets with a cash management interpretation***by*Perry, David & Berg, M. & Posner, M. J. M.**35-45 Minimization of risks in pension funding by means of contributions and portfolio selection***by*Josa-Fombellida, Ricardo & Rincon-Zapatero, Juan Pablo**47-57 Ruin probabilities for time-correlated claims in the compound binomial model***by*Yuen, K. C. & Guo, J. Y.**59-71 A comparison between homogeneous and heterogeneous portfolios***by*Frostig, Esther**73-82 Function space integration for annuities***by*Perry, David & Stadje, Wolfgang**83-102 Laplace transform ordering of actuarial quantities***by*Denuit, Michel**103-115 Risk measures and insurance premium principles***by*Landsman, Zinoviy & Sherris, Michael

### June 2001, Volume 28, Issue 3

**281-303 On transformations of actuarial valuation principles***by*Moller, Thomas**305-308 Does positive dependence between individual risks increase stop-loss premiums?***by*Denuit, Michel & Dhaene, Jan & Ribas, Carmen**309-323 On the number of near-maximum insurance claims***by*Li, Y. & Pakes, Anthony G.**325-339 An economic premium principle in a multiperiod economy***by*Iwaki, Hideki & Kijima, Masaaki & Morimoto, Yuji**341-350 Bonus systems in an open portfolio***by*de Lourdes Centeno, Maria & Manuel Andrade e Silva, Joao**351-360 Distribution-free comparison of pricing principles***by*Hurlimann, Werner**361-379 Aging and other distributional properties of discrete compound geometric distributions***by*Willmot, Gordon E. & Cai, Jun**381-392 Asymptotic ruin probabilities for risk processes with dependent increments***by*Muller, Alfred & Pflug, Georg**393-399 Transition probability functions for martingale laws of bond prices***by*Carriere, J. F.**401-419 On the discounted distribution functions of the surplus process perturbed by diffusion***by*Tsai, Cary Chi-Liang

### April 2001, Volume 28, Issue 2

**149-149 Preface***by*Verrall, Richard**151-171 An option pricing approach to valuing upward only rent review properties with multiple reviews***by*Booth, Philip & Walsh, Duncan**173-189 Optimal management under stochastic interest rates: the case of a protected defined contribution pension fund***by*Boulier, Jean-Francois & Huang, ShaoJuan & Taillard, Gregory**191-204 Longevity studies based on kernel hazard estimation***by*Felipe, Angie & Guillen, Montserrat & Nielsen, Jens Perch**205-216 A generalized crossed classification credibility model***by*Goulet, Vincent**217-231 Moments of compound renewal sums with discounted claims***by*Leveille, Ghislain & Garrido, Jose**233-262 Optimal investment strategy for defined contribution pension schemes***by*Vigna, Elena & Haberman, Steven**263-280 The combined effect of delay and feedback on the insurance pricing process: a control theory approach***by*Zimbidis, Alexandros & Haberman, Steven

### February 2001, Volume 28, Issue 1

**1-11 Annuities under random rates of interest***by*Zaks, Abraham**13-20 Distribution of the first ladder height of a stationary risk process perturbed by [alpha]-stable Lévy motion***by*Schmidli, Hanspeter**21-30 Comparison of individual risk models***by*Lefevre, Claude & Utev, Sergey**31-47 From actuarial to financial valuation principles***by*Schweizer, Martin**49-59 A decomposition of the ruin probability for the risk process perturbed by diffusion***by*Wang, Guojing**61-67 Optimal reinsurance under mean-variance premium principles***by*Kaluszka, Marek**69-82 A class of non-expected utility risk measures and implications for asset allocations***by*van der Hoek, John & Sherris, Michael**83-90 On the form and risk-sensitivity of zero coupon bonds for a class of interest rate models***by*Alvarez, Luis H. R.

### December 2000, Volume 27, Issue 3

**277-283 On credibility evaluation and the tail area of the exponential dispersion family***by*Landsman, Zinoviy & Makov, Udi E.**285-312 An investigation into parametric models for mortality projections, with applications to immediate annuitants' and life office pensioners' data***by*Sithole, Terry Z. & Haberman, Steven & Verrall, Richard J.**313-330 A discussion of parameter and model uncertainty in insurance***by*Cairns, Andrew J. G.**331-343 On the moments of ruin and recovery times***by*Egidio dos Reis, Alfredo D.**345-363 An equilibrium asset pricing model based on Lévy processes: relations to stochastic volatility, and the survival hypothesis***by*Aase, Knut K.**365-396 Modelling the recent time trends in UK permanent health insurance recovery, mortality and claim inception transition intensities***by*Renshaw, A. E. & Haberman, S.**397-398 Actuarial Models for Disability Insurance: S. Haberman, E. Pitacco; Chapman & Hall, London, UK, 1999, xviii+280 pp., ISBN 0-8493-0389-3***by*Spreeuw, Jaap & Wolthuis, Henk

### October 2000, Volume 27, Issue 2

**151-168 Upper and lower bounds for sums of random variables***by*Kaas, Rob & Dhaene, Jan & Goovaerts, Marc J.**169-176 An application of nonparametric regression estimation in credibility theory***by*Qian, Weimin**177-188 Valuation of contingent-claims characterising particular pension schemes***by*Bacinello, Anna Rita**189-200 Pricing catastrophe insurance products based on actually reported claims***by*Christensen, Claus Vorm & Schmidli, Hanspeter**201-214 A no arbitrage approach to Thiele's differential equation***by*Steffensen, Mogens**215-228 Optimal investment for insurers***by*Hipp, Christian & Plum, Michael**229-235 Corporate spin-offs, bankruptcy, investment, and the value of debt***by*Hennessy, David A.**237-259 Contribution and solvency risk in a defined benefit pension scheme***by*Haberman, Steven & Butt, Zoltan & Megaloudi, Chryssoula**261-276 A family of fractional age assumptions***by*Jones, Bruce L. & Mereu, John A.

### August 2000, Volume 27, Issue 1

**1-18 Computation of distorted probabilities for diffusion processes via stochastic control methods***by*Young, Virginia R. & Zariphopoulou, Thaleia**19-44 The moments of the time of ruin, the surplus before ruin, and the deficit at ruin***by*Lin, X. Sheldon & Willmot, Gordon E.**45-63 Consistent fitting of one-factor models to interest rate data***by*Rogers, L. C. G. & Stummer, Wolfgang**65-81 Equity allocation and portfolio selection in insurance***by*Taflin, Erik**83-104 Mutual fund evaluation: a portfolio insurance approach: A heuristic application in Spain***by*Chamorro, Jose M. & Perez de Villarreal, Jose M.**105-112 Insurer's optimal reinsurance strategies***by*Gajek, Leslaw & Zagrodny, Dariusz**113-122 Arithmetization of distributions and linear goal programming***by*Vilar, Jose L.**123-136 The multivariate De Pril transform***by*Sundt, Bjorn**137-144 On error bounds for approximations to multivariate distributions***by*Sundt, Bjorn**145-149 Ruin under interest force and subexponential claims: a simple treatment***by*Kalashnikov, Vladimir & Konstantinides, Dimitrios

### May 2000, Volume 26, Issue 2-3

**117-117 Editorial***by*Gerber, H. U.**119-132 A Hitchhiker's guide to the techniques of adaptive nonlinear models***by*Shapiro, Arnold F.**133-149 The discrete-time risk model with correlated classes of business***by*Cossette, Helene & Marceau, Etienne**151-156 Credibility using semiparametric models and a loss function with a constancy penalty***by*Young, Virginia R.**157-173 Simple approximations of ruin probabilities***by*Grandell, Jan**175-183 An easy computable upper bound for the price of an arithmetic Asian option***by*Simon, S. & Goovaerts, M. J. & Dhaene, J.**185-192 Stochastic control for optimal new business***by*Hipp, Christian & Taksar, Michael**193-202 Non-parametric confidence intervals of instantaneous forward rates***by*Carriere, Jacques F.**203-211 Time stochastic s-convexity of claim processes***by*Denuit, Michel**213-222 Impact of dependence among multiple claims in a single loss***by*Cossette, Helene & Denuit, Michel & Marceau, Etienne**223-238 Homogeneous risk models with equalized claim amounts***by*De Vylder, F. & Goovaerts, M.**239-250 Discounted probabilities and ruin theory in the compound binomial model***by*Cheng, Shixue & Gerber, Hans U. & Shiu, Elias S. W.**251-267 Ruin probabilities based at claim instants for some non-Poisson claim processes***by*Stanford, David A. & Stroinski, Krzysztof J. & Lee, Karen**269-288 RPA pathwise derivative estimation of ruin probabilities***by*J. Vazquez-Abad, Felisa**289-307 Implementing adaptive nonlinear models***by*Shapiro, Arnold F. & Paul Gorman, R.

### February 2000, Volume 26, Issue 1

**1-14 Hattendorff's theorem for non-smooth continuous-time Markov models II: Application***by*Milbrodt, Hartmut**15-24 Some distributions for classical risk process that is perturbed by diffusion***by*Wang, Guojing & Wu, Rong**25-36 Risk analysis for a stochastic cash management model with two types of customers***by*Perry, David & Stadje, Wolfgang**37-57 Fair valuation of life insurance liabilities: The impact of interest rate guarantees, surrender options, and bonus policies***by*Grosen, Anders & Lochte Jorgensen, Peter**59-73 Ruin theory with risk proportional to the free reserve and securitization***by*Siegl, Thomas & F. Tichy, Robert**75-90 Cramer-Lundberg approximation for nonlinearly perturbed risk processes***by*Gyllenberg, Mats & S. Silvestrov, Dmitrii**91-99 An investigation into stochastic claims reserving models and the chain-ladder technique***by*Verrall, R. J.**101-107 A comparison of stochastic models that reproduce chain ladder reserve estimates***by*Mack, Thomas & Venter, Gary**109-111 Comments on: "A comparison of stochastic models that reproduce chain ladder reserve estimates", by Mack and Venter***by*Verrall, R. J. & England, P. D.**113-113 Book Review***by*McNeil, Alexander J.

### December 1999, Volume 25, Issue 3

**261-280 On life insurance reserves in a stochastic mortality and interest rates environment***by*Marceau, Etienne & Gaillardetz, Patrice**281-293 Analytic and bootstrap estimates of prediction errors in claims reserving***by*England, Peter & Verrall, Richard**295-306 Conditional dominance criteria: definition and application to risk-management***by*Deelstra, Griselda & Grasselli, Martino & Koehl, Pierre-Francois**307-325 Pricing rate of return guarantees in a Heath-Jarrow-Morton framework***by*Miltersen, Kristian R. & Persson, Svein-Arne**327-336 Term structure modeling and asymptotic long rate***by*Yao, Yong**337-347 A synthesis of risk measures for capital adequacy***by*Lynn Wirch, Julia & Hardy, Mary R.**349-372 Insolvency risk and its impact on the policyholders' investment choices: a mean-variance approach for participating life insurance business in UK***by*Berketi, Alexandra K.**373-385 Initial selection for Permanent Health Insurance***by*Cristina Gutierrez-Delgado, M.**387-395 The Esscher premium principle in risk theory: a Bayesian sensitivity study***by*Gomez-Deniz, E. & Hernandez-Bastida, A. & Vazquez-Polo, F. J.**397-413 Practical approximations for multivariate characteristics of risk processes***by*Usabel, M. A.

### November 1999, Volume 25, Issue 2

**109-122 Optimal insurance under Wang's premium principle***by*Young, Virginia R.**123-131 An application of randomly truncated data models in reserving IBNR claims***by*Herbst, Tomas**133-142 Calculating multivariate ruin probabilities via Gaver-Stehfest inversion technique***by*Usabel, Miguel**143-155 On s-convex stochastic extrema for arithmetic risks***by*Denuit, Michel & Lefevre, Claude & Mesfioui, M'hamed**157-169 Subjective risk measures: Bayesian predictive scenarios analysis***by*Siu, Tak Kuen & Yang, Hailiang**171-179 Preservation of multivariate dependence under multivariate claim models***by*Hu, Taizhong & Pan, Xiaoming**181-195 Hattendorff's theorem for non-smooth continuous-time Markov models I: Theory***by*Milbrodt, Hartmut**197-217 A new stochastically flexible event methodology with application to Proposition 103***by*Brockett, Patrick L. & Chen, Hwei-Mei & Garven, James R.

### September 1999, Volume 25, Issue 1

**1-9 On the distribution of IBNR reserves***by*Goovaerts, Marc & Redant, Hendrik**11-21 The safest dependence structure among risks***by*Dhaene, Jan & Denuit, Michel**23-35 Arithmetic averaging equity-linked life insurance policies in Germany***by*Nonnenmacher, Dirk Jens F. & Ru[ss], Jochen**37-47 A note on the Taylor series expansions for multivariate characteristics of classical risk processes***by*Usabel, M. A.**49-62 Ruin probabilities with compounding assets***by*Dickson, David C. M. & Waters, Howard R.**63-84 Analysis of a defective renewal equation arising in ruin theory***by*Lin, X. Sheldon & Willmot, Gordon E.**85-104 Stochastic bounds on sums of dependent risks***by*Denuit, M. & Genest, C. & Marceau, E.**105-107 Corrigendun to "The moments of ruin time in the classical risk model with discrete claim size distribution" [Insurance: Mathematics and Economics 23 (1998) 157-172]***by*Picard, Ph. & Lefevre, C.

### May 1999, Volume 24, Issue 3

**155-172 Explicit finite-time and infinite-time ruin probabilities in the continuous case***by*De Vylder, F. Etienne & Goovaerts, Marc J.**173-185 Stop-loss premiums under dependence***by*Albers, Willem**187-199 Optimal pension funding through dynamic simulations: the case of Taiwan public employees retirement system***by*Chang, Shih-Chieh**201-217 Extremal generators and extremal distributions for the continuous s-convex stochastic orderings***by*Denuit, Michel & Vylder, Etienne De & Lefevre, Claude**219-227 Non-optimality of a linear combination of proportional and non-proportional reinsurance***by*Hurlimann, W.**229-247 A longitudinal data analysis interpretation of credibility models***by*Frees, Edward W. & Young, Virginia R. & Luo, Yu**249-271 Inequality extensions of Prabhu's formula in ruin theory***by*De Vylder, F. E. & Goovaerts, M. J.**273-280 A theorem on multi-period insurance contracts without commitment***by*Vazquez, Francisco J. & Watt, R.**281-290 Supermodular ordering and stochastic annuities***by*Goovaerts, M. J. & Dhaene, J.**291-300 Sequential credibility evaluation for symmetric location claim distributions***by*Landsman, Zinoviy & Makov, Udi E.**301-308 On the distributions of two classes of correlated aggregate claims***by*Ambagaspitiya, Rohana S.**309-321 On the distribution of the surplus of the D-E model prior to and at ruin***by*Zhang, Chunsheng & Wu, Rong**323-332 On dependence of risks and stop-loss premiums***by*Hu, Taizhong & Wu, Zhiqiang

### March 1999, Volume 24, Issue 1-2

**3-14 From ruin theory to pricing reset guarantees and perpetual put options***by*Gerber, Hans U. & Shiu, Elias S. W.**15-21 Recursions for convolutions of discrete uniform distributions revisited***by*Sundt, Bjorn**23-29 Credibility evaluation for the exponential dispersion family***by*Landsman, Zinoviy & Makov, Udi E.**31-50 A class of bivariate stochastic orderings, with applications in actuarial sciences***by*Denuit, Michel & Lefevre, Claude & Mesfioui, M'hamed**51-65 A process with stochastic claim frequency and a linear dividend barrier***by*Siegl, Thomas & Tichy, Robert F.**67-81 Modelling different types of automobile insurance fraud behaviour in the Spanish market***by*Artis, Manuel & Ayuso, Mercedes & Guillen, Montserrat**83-94 The GARCH(1,1)-M model: results for the densities of the variance and the mean***by*De Schepper, Ann & Goovaerts, Marc J.**95-101 Decomposing catastrophic risk***by*Schlesinger, Harris**103-115 Solvency margins and equalization reserves***by*De Vylder, F. & Goovaerts, M.**117-138 The effect of the nature of the liabilities on the solvency and maturity payouts of a UK life office fund: a stochastic evaluation***by*Berketi, Alexandra K. & Macdonald, Angus S.**139-148 Fitting bivariate loss distributions with copulas***by*Klugman, Stuart A. & Parsa, Rahul**149-154 Martingales, scale functions and stochastic life annuities: a note***by*Milevsky, Moshe Arye

### December 1998, Volume 23, Issue 3

**215-230 On the computation of aggregate claims distributions: some new approximations***by*Chaubey, Yogendra P. & Garrido, Jose & Trudeau, Sonia**231-250 Burr regression and portfolio segmentation***by*Beirlant, Jan & Goegebeur, Yuri & Verlaak, Robert & Vynckier, Petra**251-261 Loss development forecasting models: an econometrician's view***by*Kloek, T.**263-286 Pension schemes as options on pension fund assets: implications for pension fund management***by*Blake, David**287-295 Equation for survival probability in a finite time interval in case of non-zero real interest force***by*Pervozvansky, A. Jr.

### November 1998, Volume 23, Issue 2

**111-117 A note on optimal parameter estimation under zero-excess assumptions***by*Goulet, Vincent**119-139 Bounds for stop-loss premium under restrictions on I-divergence***by*Xu, Lina & Bricker, Dennis L. & Kortanek, Kenneth O.**141-156 On the tradeoff between the law of large numbers and oligopoly in insurance***by*Powers, Michael R. & Shubik, Martin**157-172 The moments of ruin time in the classical risk model with discrete claim size distribution***by*Picard, Philippe & Lefevre, Claude**173-177 A minimax risk strategy for portfolio immunization***by*Barber, Joel R. & Copper, Mark L.**179-180 Erratum to: "A note on interest rate term structure estimation using tension splines" [Insurance: Mathematics and Economics 22 (1998) 139-143]***by*Barzanti, Luca & Corradi, Corrado

### October 1998, Volume 23, Issue 1

**1-14 Families of update rules for non-additive measures: Applications in pricing risks***by*Young, Virginia R.**15-19 On the distribution of a sum of correlated aggregate claims***by*Ambagaspitiya, Rohana S.**21-31 Compound bivariate Lagrangian Poisson distributions***by*Ambagaspitiya, Rohana S.**33-43 Aging properties and bounds for ruin probabilities and stop-loss premiums***by*Cai, Jun & Garrido, Jose**45-58 Double barrier hitting time distributions with applications to exotic options***by*Sheldon Lin, X.**59-69 Prediction of claim numbers based on hazard rates***by*Spreeuw, Jaap & Goovaerts, Marc**71-83 Applications to risk theory of a Monte Carlo multiple integration method***by*Usabel, Miguel A.**85-90 Zero coupon bonds and affine term structures: reconsidering the one-factor model***by*Alvarez, Luis H. R.**91-110 Exact and approximate properties of the distribution of surplus before and after ruin***by*Willmot, Gordon E. & Sheldon Lin, X.

### July 1998, Volume 22, Issue 3

**209-228 Stochastic cooperative games in insurance***by*Suijs, Jeroen & De Waegenaere, Anja & Borm, Peter**229-233 Optimal reinsurance and stop-loss order***by*Denuit, Michel & Vermandele, Catherine**235-242 Comonotonicity, correlation order and premium principles***by*Wang, Shaun & Dhaene, Jan**243-249 Pricing insurance contracts -- an economic viewpoint***by*Kliger, Doron & Levikson, Benny**251-262 Ruin probabilities for Erlang(2) risk processes***by*Dickson, David C. M. & Hipp, Christian**263-276 On the discounted penalty at ruin in a jump-diffusion and the perpetual put option***by*Gerber, Hans U. & Landry, Bruno**277-285 On distribution-free safe layer-additive pricing***by*Hurlimann, W.

### June 1998, Volume 22, Issue 2

**123-138 Non-Poissonian claims' arrivals and calculation of the probability of ruin***by*Malinovskii, Vsevolod K.**139-143 A note on interest rate term structure estimation using tension splines***by*Barzanti, Luca & Corradi, Corrado**145-161 Ordering risks: Expected utility theory versus Yaari's dual theory of risk***by*Wang, Shaun S. & Young, Virginia R.**163-170 Closure properties of some partial orderings under mixing***by*Hesselager, Ole

### May 1998, Volume 22, Issue 1

**1-1 The interplay between insurance, finance and control***by*Asmussen, Soren & Barndorff-Nielsen, Ole. E.**3-16 Ruin theory with compounding assets -- a survey***by*Paulsen, Jostein**17-23 Some system theoretic aspects of interest rate theory***by*Bjork, Tomas & Christensen, Bent Jesper & Gombani, Andrea**25-39 Concepts and methods for discrete and continuous time control under uncertainty***by*Runggaldier, Wolfgang J.**41-51 Optimal proportional reinsurance policies for diffusion models with transaction costs***by*Hojgaard, Bjarne & Taksar, Michael**53-64 On some filtering problems arising in mathematical finance***by*Brigo, Damiano & Hanzon, Bernard**65-73 An actuarial approach to option pricing under the physical measure and without market assumptions***by*Bladt, Mogens & Rydberg, Tina Hviid**75-91 On piecewise deterministic Markov control processes: Control of jumps and of risk processes in insurance***by*Schal, Manfred**93-104 Ruin probabilities in perturbed risk models***by*Schlegel, Sabine**105-122 Optimal risk and dividend control for a company with a debt liability***by*Taksar, Michael I. & Zhou, Xun Yu

### December 1997, Volume 21, Issue 3

**185-193 Stochastic time changes in catastrophe option pricing***by*Geman, Helyette & Yor, Marc**195-200 A note on Shiu's immunization results***by*Uberti, M.**201-218 Asset allocation with time variation in expected returns***by*Boyle, Phelim P. & Yang, Hailiang**219-223 Stop-loss order for portfolios of dependent risks***by*Muller, Alfred**225-244 IBNR reserves under stochastic interest rates***by*Goovaerts, Marc & De Schepper, Ann

### November 1997, Volume 21, Issue 2

**95-95 Preface***by*Shiu, Elias S. W.**97-102 An old-age social security program for Bangladesh***by*Beekman, John A. & Kabir, Md. Humayun**103-111 Better late than never: The case of the rollover option***by*Bilodeau, Claire**113-127 Reserving for maturity guarantees: Two approaches***by*Boyle, Phelim P. & Hardy, Mary R.**129-137 The joint distribution of the time of ruin, the surplus immediately before ruin, and the deficit at ruin***by*Gerber, Hans U. & Shiu, Elias S. W.**139-152 The Istanbul option: Where the standard European option becomes Asian***by*Jacques, Michel