Modern pricing of interest-rate derivatives: The libor market model and beyond

Modern Pricing of Interest-Rate Derivatives: The Libor Market Model and Beyond

Volumn , Issue , 2012, Pages 1-467

  Rebonato, Riccardo ^a  

^a NONE

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EID: 84890754992     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Book

References (124)

1. Ahn D-H, Gao B (1999) 'A parametric non-linear model of term structure dynamics', Review of Financial Studies, 12 (4), 721-62
2. Alexander C (2000) 'Principal component analysis of volatility smiles and skews', Working Paper, ISMA Centre, University of Reading
3. Andersen L (1999) 'A simple approach to the pricing of Bermudan swaptions in the multi-factor LIBOR market model' Journal of Computational Finance, 3 (2), 5-32.
4. Andersen L, Andreasen J (1997) 'Volatility skews and extension of the LIBOR market model', Applied Mathematical Finance, to appear; also Working Paper, Gen Re Financial Products
5. Andersen L, Andreasen J (2000) 'Volatility Skews and Extension of the LIBOR Market Model; Applied Mathematical Finance 7, 1, March 2000
6. Babbs S H, Selby M J P (1996) 'Pricing by arbitrage in incomplete markets', Working Paper, Financial Options Research Centre, University of Warwick, FORC Preprint 96/69, January
7. Ballard P, Hughston L (1999) 'Pricing of Contingent Claims in Incomplete Markets', working paper, Merrill Lynch and King's College London
8. Baxter M, Rennie A (1996) Financial Calculus, Cambridge University Press, Cambridge
9. Beckers S (1980) 'The constant elasticity of variance model and its implications for option pricing Journal of Finance, 35(3),(June) 661-673
10. Bjork T (1998) Arbitrage Theory in Continuous Time, Oxford University Press, Oxford
11. Black F (1976) 'The pricing of commodity contracts', Journal of Financial Economics, 3, 167-79
12. Black F, Karasinski P (1991) 'Bond and option pricing when short rates are lognormal', Financial Analyst Journal, 47, (July-August) 52-59
13. Black F, Scholes M (1973) 'The pricing of options on corporate liabilities', Journal of Political Economy, 81, 637-59
14. Black F, Derman E, Toy W (1990) 'A one-factor model of interest rates and its application to Treasury bond options', Financial Analyst Journal, 46, 33-39
15. Bollerslev T, Chou R, Kroner K (1992) 'ARCH Modelling in Finance: a Review of the Theory and Empirical Evidence'Journal of Econometrics, 52, 5-59
16. Bollerslev T, Engle R, Nelson D (1994)'ARCH Models' in R. Engle and D Macfadden (editors) 'Handbook of Econometrics', IV, Elsevier, Amsterdam.
17. Boyle P P (1977) 'Options: a Monte Carlo approach', Journal of Financial Economics, 4, 323-38
18. Brace A, Gatarek D, Musiela M (1996) 'The market model of interest rate dynamics', Mathematical Finance, 7, 127-54
19. Brenner M, Subrahmanyam M G (1994) 'A simple approach to option valuation in the Black-Scholes model', Financial Analyst Journal, 25-8
20. Brigo D, Mercurio F, (2001) 'Interest Rate Models: Theory and Practice', Springer Verlag, Heidelberg
21. Britten-Jones M, Neuberger A (1998) 'Option prices, implied price processes and stochastic volatility', Working Paper, London Business School, available at www.london.edu/ifa
22. Broadie (2002), New Methods for Pricing American and Bermudan Options: the Fast Gauss Transform Lattice Methods and the Prima-Dual Simulation Method' presented at the Global Derivatives Conference - Barcelona, May 2002
23. Broadie M, Glasserman P (1997) 'A stochastic mesh method for pricing highdimension American options', Working Paper, Columbia University, New York
24. Campbell J Y, Lo A W, MacKinlay A C (1996) The Econometrics of Financial Markets, Princeton University Press, Princeton NJ.
25. Carverhill A (1993) 'A simplified exposition of the Heath, Jarrow and Morton model', Working Paper, Hong Kong University of Science and Technology January
26. Chan K C, Karolyi G A, Longstaff F A, Sanders A B (1992) 'An empirical comparison of alternative models of the short-term interest rate', Journal of Finance, 68 (May), 1209-1227
27. Chatfiled C, Collins A J (1989) Introduction to Multivariate Analysis, Chapman and Hall, London
28. Cochrane J H (2001) Asset Pricing, Princeton University Press, Princeton, NJ
29. Cox J, Ross S A, Rubinstein M (1979) 'Option pricing: a simplified approach', Journal of Financial Economics, 7, 229-63
30. Cox J, Ingersoll J E, Ross S A (1985) 'A theory of the term structure of interest rates', Econometrica, 53, 385-407
31. De Jong F, Driessen L, Pelsser A (1999) 'LIBOR and swap market models for the pricing of interest-rate derivatives: an empirical comparison', Working Paper
32. Derman E, Kamal M (1997) 'The patterns of change in implied index volatilities', Quantitative Strategies Research Notes, Goldman Sachs
33. Derman E, Kani I (1994) 'Riding on a smile', Risk Magazine, 7 (2), 98-101
34. Derman E, Kani I, Chriss N (1996) 'Implied binomial trees of the volatility smile', Journal of Derivatives, 3 (4), 7-22
35. Dodds S (1998) personal communication
36. Dodds S (2002) 'Pricing and Hedging Bermudon Swaptions with the BGM Model', Barclays Capital working paper, presented at the Global Derivitives Conference in Barcelona, May 2002
37. Dothan M N (1990) Prices in Financial Markets, Oxford University Press, Oxford
38. Doust P (1995) 'Relative pricing techniques in the swaps and options markets'', Journal of Financial Engineering, (March), 45-71
39. Duffie D (1996) Dynamic Asset Pricing Theory, 2nd edn, Princeton University Press, Princeton, NJ
40. Duffie D, Kan R (1996) 'A yield-factor model of interest rates', Mathematical Finance, 6, 379-406
41. Dupire B (1994) 'Pricing with a smile', Risk Magazine, 7, 18-20
42. Engl H E (1993) 'Regularization methods for the stable solution of inverse problems', Surveys on Mathematics for Industry, 3, 71-143
43. Fisher M, Nyehka D, Zevros D (1994) 'Fitting the term structure of interest rates with smooth splines', Working Paper, US Federal Reserve Board, January
44. Gatarek D (2001) 'LIBOR market model with stochastic volatility', presented at the Maths Week Risk Conference, London, 28 November; also Working Paper, BRE Bank and Systems Research Institute
45. Glasserman P, Kou S G (2001) 'The Term Structure of Simple Forward Rates with Jump Risk', working paper, Colombia University
46. Glasserman P, Kou S G (2000) 'The term structure of simple forward rates with jump risk', Working Paper, Columbia University
47. Glasserman P, Merener N (2001) 'Numerical solutions of jump-diffusion LIBOR market models', Working Paper, Columbia University
48. Gustavsson T (1997) 'On the pricing of European swaptions', Working Paper, Department of Economics, University of Uppsala, Sweden, March.
49. Harrison J M, Kreps D (1979) 'Martingales and arbitrage in multi-period securities markets', Journal of Economic Theory, 20, 381-408
50. Harrison J M, Pliska S (1981) 'Martingales and stochastic integrals in the theory of continuous trading', Stochastic Processes and their Applications, 11, 215-60
51. Haug M B, Kogan L (2000) 'Pricing American options: a duality approach', Working Paper, MIT and the Wharton School
52. Heath D, Jarrow R A, Morton A (1987) 'Bond pricing and the term structure of interest rates: a new methodology', Working Paper, Cornell University
53. Heath D, Jarrow R A, Morton A (1989) 'Bond pricing and the term structure of interest rates: a new methodology', Working Paper (revised edition), Cornell University
54. Hull J (1993) Options, Futures and Other Derivative Securities, 2nd edn, Prentice- Hall, Englewood Cliffs, NJ
55. Hull J, White A (1987) 'The pricing of options on assets with stochastic volatilities', Journal of Finance, XLII (2), 281-300
56. Hull J, White A (1990) 'Pricing Interest Rate Derivative Securites' The Review of Financial Studies, 3, 573-592
57. Hull J, White A (1993) 'Bond option pricing based on a model for the evolution of bond prices', Advances in Futures and Option Research, 6, 1-13
58. Hull J, White A (2000) 'The essentials of LMM', Risk Magazine, (December)
59. Hunt P, Kennedy J, Pelsser A (2000)'Markov-Functional Interest Rate Models', Finance and Stochastics, 4(4), 391-408
60. Hunter C, Jaeckel P and Joshi M (2001) 'Getting the Drift', Risk Magazine, (July) 81-84 also QUARC (Quantitative Research Centre) Working Paper, 'Drift approximations in a LIBOR market model', available at www.rebonato.com
61. Jaeckel P (2000) 'A simple method to evaluate Bermudan swaptions in the LIBOR market model framework', Working Paper, Royal Bank of Scotland Quantitative Research Centre (QUARC), available at www.rebonato.com
62. Jaeckel P, Rebonato R (2001a) 'Valuing American options in the presence of user-defined smiles', Journal of Risk, 4 (1), 35-62
63. Jaeckel P, Rebonato R (2001b) 'Linking caplet and swaption volatilities in a LIBOR market model setting Journal of Computational Finance, accepted for publication; also Working Paper, Royal Bank of Scodand Quantitative Research Centre (QUARC), available at www.rebonato.com
64. Jamshidian F (1991) 'Forward induction and construction of yield curve diffusion models', Working Paper, Financial Strategies Group, Merryll Lynch Capital Markets, New York.
65. Jamshidian F (1997) 'LIBOR and swap market models and measures', Finance and Stochastic, 1 (4), 293-330
66. Jamshidian F (1999) 'LIBOR market model with semimartingales', Working Paper, NetAnalytic Ltd, London
67. Johnson T C (2001) 'Volatility, momentum and time-varying skewness in foreign exchange returns', Working Paper, London Business School, available at www.london.edu/ifa
68. Joshi M (2000) 'A short note on exponential correlation functions', Working Paper, Royal Bank of Scotland Quantitative Research Centre (QUARC), June
69. Joshi M (2001a) 'The calibration of a stochastic volatility model to caplet prices', Working Paper, Royal Bank of Scotland Quantitative Research Centre (QUARC), available at www.rebonato.com
70. Joshi M (2001b) 'Fast pricing of swaptions in a stochastic volatility market model', Working Paper, Royal Bank of Scotland Quantitative Research Centre (QUARC), available at www.rebonato.com
71. Joshi M (2001c) 'Calibration to co-terminal swaptions in a stochastic volatility market model', Working Paper, Royal Bank of Scotland Quantitative Research Centre (QUARC), available at www.rebonato.com
72. Joshi M (2001f) 'The concepts of mathematical finance', in preparation
73. Joshi M, Rebonato R (2001) 'A stochastic-volatility, displaced-diffusion extension of the LIBOR market model', Journal of Computational Finance, submitted; also Working Paper, Royal Bank of Scotland Quantitative Research Centre (QUARC), available at www.rebonato.com
74. Kainth D, Rebonato R, Joshi M (2001) 'Similarities between the prices of Bermudan swaptions obtained with the BDT and a particular implementation of the LIBOR Market Model', Working Paper, Royal Bank of Scotland Quantitative Research Centre (QUARC)
75. Karatzas I, Shreve S (1988) Brownian Motion and Stochastic Calculus, Springer- Verlag, Berlin
76. Kloeden P E, Platen E (1992) Numerical Solutions of Stochastic Differential Equations, Springer-Verlag, Berlin
77. Levin R, Singh K (1995) 'What hides behind the smile?', Working Paper, J P Morgan Derivatives Research, March
78. Lewis A L, (2000), 'Option Valuation under Stochastic Volatility', Finance Press, Newport Beach, California
79. Longstaff F A, Schwartz E S (1992) 'Interest rate volatility and the term structure: a two-factor general equilibrium model', Journal of Finance, 47, 1259-82.
80. Longstaff F A, Schwartz E S (1998) 'Valuing American options by simulations: a least square approach', Working Paper 25-98, Andersen School at the UCLA
81. Longstaff F A, Santa-Clara P, Schwartz E S (2000a) 'Throwing away a billion dollars: the cost of sub-optimal exercise strategies in the swaptions markets', presented at the ICBI Risk Conference, Geneva; also Working Paper, UCLA
82. Longstaff F A, Santa-Clara P, Schwartz E S (2000b) 'The relative valuation of caps and swaptions: theory and empirical evidence', presented at the ICBI Risk Conference, Geneva; also Working Paper, UCLA
83. Madan D B, Carr P, Chang E C (1998) 'The variance gamma process and option pricing', Working Paper, University of Maryland
84. Marris D (1999) 'Financial option pricing and skewed volatility', M.Phil. Thesis, Statistical Laboratory, University of Cambridge
85. Marsh T A, Rosenfeld E R (1983) 'Stochastic processes for interest rates and equilibrium bond pricesJournal of Finance, 38, 635-46
86. Martellini L, Priaulet P (2001) 'Fixed-Income Securities'John Wiley's, Chichester
87. Merton R (1973) 'The theory of rational option pricing', Bell Journal of Economic and Management Science, 4, 177-86
88. Mikosh T (1998) Stochastic Calculus with Finance in View, Advanced Series on Statistical Science and Applied Probability, Vol. 6, World Scientific, Singapore
89. Miltersen K, Sandmann K, Sondermann D (1997) 'Closed-form solutions for term structure derivatives with log-normal interest rates', Journal of Finance, 52, 409-30
90. Musiela M, Rutkowski M (1997a) 'Continuous-time term structure models: forward-measure approach', Finance and Stochastic, 1 (4), 261-92
91. Musiela M, Rutkowski M (1997b) Martingale Methods in Financial Modelling, Springer-Verlag, Berlin
92. Neftci S A (1996) An Introduction to the Mathematics of Financial Derivatives, Academic Press, San Diego
93. Nelson D (1990) 'Conditional Heteroskedsticity in Asset Returns: a New Approach', Econometrica, 59, 347-370
94. Neuberger A (1990) 'Pricing swap options using the forward swap market', IFA Working Paper, London Business School
95. Nielsen L T (1999) Pricing and Hedging of Derivatives Securities, Oxford University Press, Oxford
96. Oksendal B (1995) Stochastic Differential Equations, 5th edn, Springer-Verlag, Berlin
97. Pliska S R (1997) Introduction to Mathematical Finance, Blackwell, Oxford
98. Press W H, Teukolsky S A, Vetterling W T, Flannery B P (1996) Numerical Recipes in C, 2nd edn (reprinted with corrections 1998), Cambridge University Press, Cambridge
99. Rebonato R (1998) Interest-Rate Option Models, 2nd edn, John Wiley, Chichester
100. Rebonato R (1999a) 'On the simultaneous calibration of multi-factor lognormal interest-rate models to Black volatilities and to the correlation matrix', Journal of Computational Finance, 2 (4), 5-27; also Working Paper, Royal Bank of Scotland Quantitative Research Centre (QUARC), available at www.rebonato.com
101. Rebonato R (1999b) 'On the pricing implications of the joint log-normality assumption for the cap and swaption markets', Journal of Computational Finance, 2 (3), 30-52; also Working Paper, Royal Bank of Scotland Quantitative Research Centre (QUARC), available atwww.rebonato.com
102. Rebonato R (1999c) Volatility and Correlation, John Wiley, Chichester
103. Rebonato R (2000) 'Calibration to co-terminal European swaptions in a BGM setting', Journal of Computational Finance, submitted; also Working Paper, Royal Bank of Scotland Quantitative Research Centre (QUARC), available at www.rebonato.com
104. Rebonato R (2001a) 'Managing model risk', in Mastering Risk, Vol. II, FT-Prentice Hall Educational Carol Alexander editor, London
105. Rebonato R (2001b) 'The stochastic volatility LIBOR market model', Risk, (October), 105-10
106. Rebonato R, Cooper I (1995) 'Limitations of simple two-factor interest rate models', Journal of Financial Engineering, 5, 1-16
107. Rebonato R, Jaeckel P(2000) 'The most general methodology to create a valid correlation matrix', Journal of Risk, 2 (2), (Winter), 1-16
108. Rebonato R, Joshi M (2001a) 'A joint empirical/theoretical investigation of the modes of deformation of swaption matrices: implications for the stochastic-volatility LIBOR market model', International Journal of Theoretical and Applied Finance, accepted for publication also Working Paper, Royal Bank of Scotland Quantitative Research Centre (QUARC), available at www.rebonato.com
109. Rebonato R, Joshi M (2001b) 'The Kolmogorov Project: no-arbitrage evolution of implied volatility surfaces and applications to weak static replication', Working Paper, Royal Bank of Scotland Quantitative Research Centre (QUARC), available atwww.rebonato.com
110. Rogers L C G (2000) 'Monte Carlo valuation of American options', Working Paper, Department of Mathematical Sciences, University of Bath.
111. Rubinstein M (1983) 'Displaced diffusion option pricing', Journal of Finance, 38 (March), 213-17
112. Rutkowski M (1997) 'Models of forward LIBOR and swap rates', Working Paper, University of New South Wales
113. Rutkowski M (1998) 'Dynamics of spot, forward and futures LIBOR rates', International Journal of Theoretical and Applied Finance, 1 (3), 425-45
114. Schaefer S M (1977) 'The problem with redemption yields', Financial Analyst Journal, (July-August), 59-67
115. Schoenmakers J, Coffey B (2000) 'Stable implied calibration of a multi-factor LIBOR model via a semi-parametric correlation structure', Working Paper No. 611, Weierstrass-Institut fur Angewandte Analysis und Stochastik, Berlin
116. Sharpe W, Alexander G (1990) 'Investments', 4th Edition, Englewood, New Jersey, Prentice Hall
117. Scholes M (2000) 'Crisis and risk', Risk, (May), 50
118. Shleifer A (2000) Inefficient Markets - An Introduction to Behavioural Finance, Clarendon Lectures in Economics, Oxford University Press, Oxford
119. Shleifer A, Vishny R (1997) 'The limits of arbitrage', Journal of Finance, 52, 35-55
120. Sidenius J (2000) 'LIBOR market models in practice', Journal of Computational Finance3, (3),(Spring), 75-99
121. Sidenius J (2000) 'Evaluating new research exploring practical aspects of multi-factor LIBOR market models', presented at the ICBI 7th Annual Forum - Global Derivatives 2000, Paris
122. Vasicek O (1977) 'An equilibrium characterization of the term structure', Journal of Financial Economics, 5, 177-88
123. Wilmott P (1998) Derivatives: the Theory and Practice of Financial Engineering, John Wiley, Chichester
124. Zuehlsdorff C (2001) 'Extended LIBOR market models with affine and quadratic volatility', Working Paper, Department of Statistics, Rheinische Friederich- Wilhelms-Universitat, Bonn, Germany.