Volatility model risk measurement and against worst case volatilities

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1. [1] Framework for supervisory information about derivatives activities of banks and securities firms. Basle commitee on banking supervision, manuscript, Bank for Internai Settlements, 1995. 
2. [2] Principles for the management of interest rate risk. Basle commitee on banking supervision, manuscript, Bank for Internal Settlements, 1997. 
3. [3] Y. AIT-SAHALIA. [ 1996] Testing continuous-time models of the spot interest rate. Review of Financial Studies, 9 :385-426. 
4. [4] A. AKGUN. [ 2000] Model risk with jump diffusion processes. working paper, university of Lausanne. 
5. [5] P. ARTZNER, F. DELBAEN, J.-M. EBER, and D. HEATH. [ 1999] Coherent measures of risk. Math. Finance, 9(3) :203-228. Zbl0980.91042MR1850791
6. [6] R. AZENCOTT. [ 1980] Formule de Taylor stochastique et développement asymptotique d'intégrales de Feynmann. In Séminaire de Probabilités XVI, Supplément Géométrie Différentielle Stochastique, Lect. Notes in Math., 237-285. Springer. Zbl0484.60064MR658728
7. [7] V. BALLY and D. TALAY. [ 1996] The law of the Euler scheme for stochastic differential equations (I) : convergence rate of the distribution function. Probability Theory and Related Fields, 104(1). Zbl0838.60051MR1367666
8. [8] F. BLACK and M. SCHOLES. [ 1973] The pricing of Options and Corporate Liabilities. Journal of Political Economy, 81 :635-654. Zbl1092.91524
9. [9] M. BOSSY, R. GIBSON, F-S. LHABITANT, N. PISTRE, and D. TALAY. [ 1999] Model risk analysis for bond options in a Heath-Jarrow-Morton framework. Submitted for publication. 
10. [10] J.C. COX, J.E. INGERSOLL, and S.A. ROSS. [ 1985] A theory of the term structure of interest rates. Econometrica, 53 :385-407. Zbl1274.91447MR785475
11. [11] J. CVITANIC and I. KARATZAS. [ 1999] On dynamic measures of risk. Finance & Stochastics, 3(4) :451-482. Zbl0982.91030MR1842283
12. [12] W.H. FLEMING and P.E. SOUGANIDIS. [ 1989] On the existence of value fonctions of two-player, zero-sum stochastic differential games. Indian Univ. Math. J., 38(2). Zbl0686.90049MR997385
13. [13] E. FOURNIE and D. TALAY. [ 1991] Application de la statistique des diffusions à un modèle de taux d'intérêt. Finance, 12(2) :79-111. 
14. [14] R. GIBSON, FS. LHABITANT, N. PISTRE and D. TALAY. [ 1998] Interest rate model risk. Risk books. 
15. [15] C. GREEN and S. FIGLEWSKI. [ 1999] Market risk and model risk for financial institutions writing options. 
16. [16] D. HEATH, R.A. JARROW and A. MORTON. [ 1992] Bond pricing and the term structure of interest rates : A new methodology for contingent claims valuation. Econometrica, 60 :77-105. Zbl0751.90009
17. [17] J. HULL and A. WHITE. [ 1990] Pricing interest rate derivative securities. Review of Financial Studies, 3 :573-592. 
18. [18] E. JACQUIER and R. JARROW. [ 1996] Model error in contingent claim models dynamic evaluation. Cirano Working Paper 96s-12. 
19. [19] S. KUSUOKA and D. STROOCK. [ 1987] Applications of the Malliavin Calculus, part III. J. Fac. Sci. Univ. Tokyo, 34 :391-442. Zbl0633.60078MR914028
20. [20] J. LOPEZ. [ 1996-51] Regulatory evaluation of value-at- risk models. Working paper, the Wharton Scopl, University of Pennsylvania. 
21. [21] R.C. MERTON. [ 1973] Theory of rational option pricing. Bell J. of Econom. and Management Sci., 4 :141-183. Zbl1257.91043MR496534
22. [22] M. PRITZKER. Evaluating value-at - risk methodologies : Accuracy versus computational time. Working Paper, The Wharton School, University of Pennsylvania. 
23. [23] D. TALAY and Z. ZHENG. [ 2000] Model risk management against worst case volatility processes for discount bound option. Submitted for publication. 
24. [24] D. TALAY and Z. ZHENG. [ 2000] Quantiles of the Euler scheme for diffusion processes and applications. Submitted for publication. Zbl1060.91074
25. [25] O. VASICEK. [ 1977] An equilibrium characterization of the term structure. Journal of Financial Economics, 5 :177-188. MR451451