Parsimonious HJM modelling for multiple yield curve dynamics

References

• Andersen, L. and Andreasen, J., Volatile volatilities. Risk Magazine, December 2002.
   Google Scholar
• Andreasen, J., Stochastic volatility for real, 2006. Available online at: http://ssrn.com/abstract=898701
   Google Scholar
• Babbs , S . 1993 . Generalised Vasicek models of the term structure . Appl. Stochast. Models Data Anal. , 1 : 49 – 62 .
   Google Scholar
• Bianchetti, M., Two curves, one price. Risk Magazine, July 2010.
   Google Scholar
• Boenkost, W. and Schmidt, W.M., Cross currency swap valuation, 2005. Available online at: http://ssrn.com/abstract=1375540
   Google Scholar
• Brigo, D. and Mercurio, F., Interest Rate Models: Theory and Practice with Smile, Inflation and Credit, 2nd ed., 2006 (Springer Verlag: Berlin).
   Google Scholar
• Carmona, R., HJM: A unified approach to dynamic models for fixed income, credit and equity markets. In Paris-Princeton Lectures on Mathematical Finance, pp. 3–45, 2004 (Springer: Berlin).
   Google Scholar
• Carverhill , A . 1994 . When is the short rate Markovian . Math. Finance , 2 ( 3 ) : 135 – 154 .
   Google Scholar
• Cheyette, O., Term structure dynamics and mortgage valuation. J. Fixed Income, 1992, 1(4), 28–41.
   Google Scholar
• Cheyette, O., Markov representation of the Heath–Jarrow–Morton model, 2001. Available online at: http://ssrn.com/abstract=6073
   Google Scholar
• Chiarella, C., Maina, S.C. and Nikitipoulos Sklibosios, C., Markovian defaultable HJM term structure models with unspanned stochastic volatility, 2010. Available online at: http://ssrn.com/abstract=1695295
   Google Scholar
• Chibane, M. and Sheldon, G., Building curves on a good basis, 2009. Available online at: http://ssrn.com/abstract=1394267
   Google Scholar
• Crépey, S., Grbac, Z. and Nguyen, H.-N., A multiple-curve HJM model of interbank risk. Math. Financ. Econ., 2012, 6(3), 155–190.
   Google Scholar
• Eberlein, E. and Kluge, W., Calibration of Lévy term structure models. In Advances in Mathematical Finance: In Honor of Dilip B. Madan, edited by M. Fu, R.A. Jarrow, J.-Y. Yen, and R.J. Elliott, pp. 155–180, 2007 (Birkhäuser: Boston).
   Google Scholar
• Eisenschimdt, J. and Tapking, J., Liquidity risk premia in unsecured interbank money markets. ECB Working Paper Series, 2009, 1025, 3.
   Google Scholar
• Errais, E. and Mercurio, F., Yes, Libor models can capture interest rate derivatives skew: A simple modelling approach, 2005. Available online at: http://ssrn.com/abstract=680621
   Google Scholar
• Fujii, M., Shimada, Y. and Takahashi, A., On the term structure of interest rates with basis spreads, collateral and multiple currencies, 2010. Available online at: http://ssrn.com/abstract=1556487
   Google Scholar
• Heath , D , Jarrow , R and Morton , A . 1992 . Bond pricing and the term structure of interest rates: A new methodology . Econometrica , 60 : 77 – 105 .
   Web of Science ®Google Scholar
• Heider, F., Hoerova, M. and Holthausen, C., Liquidity hoarding and interbank market spreads: The role of counterparty risk. ECB Working Paper Series, Tilburg University, 2009, 1126, 12.
   Google Scholar
• Henrard, M., The irony in the derivatives discounting. Wilmott Magazine, July 2007, 92–98.
   Google Scholar
• Henrard , M . 2010 . The irony in the derivatives discounting part II: The crisis . Willmott J. , 2 ( 6 ) : 301 – 316 .
   Google Scholar
• Henrard , M . 2010 . Swaptions in Libor market model with local volatility . Willmott J. , 2 ( 3 ) : 135 – 154 .
   Google Scholar
• Hunt , P , Kennedy , J and Pelsser , A . 2000 . Markov-functional interest rate models . Finance Stochast. , 4 ( 4 ) : 391 – 408 .
   Google Scholar
• Kenyon, C., Post-shock short-rate pricing. Risk Magazine, November 2010.
   Google Scholar
• Kijima , M , Tanaka , K and Wong , T . 2009 . A multi-quality model of interest rates . Quant. Finance , 9 ( 2 ) : 133 – 145 .
   Web of Science ®Google Scholar
• Lewis, A., A simple option formula for general jump-diffusion and other exponential Lévy processes, 2001. Available online at: http://ssrn.com/abstract=282110
   Google Scholar
• Martìnez, T., Drift conditions on a HJM model with stochastic basis spreads, 2009. Available online at: http://www.risklab.es/es/jornadas/2009/index.html
   Google Scholar
• Mercurio, F. and Pallavicini, A., Mixing Gaussian models to price CMS derivatives, 2005. Available online at: http://ssrn.com/abstract=872708
   Google Scholar
• Mercurio, F., Interest rates and the credit crunch: New formulas and market models. Bloomberg Portfolio Research Paper No. 2010–01-FRONTIERS, 2009. Available online at: http://ssrn.com/abstract=1332205
   Google Scholar
• Mercurio, F., LIBOR market models with stochastic basis. Risk Magazine, December 2010.
   Google Scholar
• Moreni, N., and Morini, M., A note on multiple curve term structure modelling with credit/liquidity spread. Banca IMI Internal Report, 2010.
   Google Scholar
• Morini, M., Solving the puzzle in the interest rate market, 2009. Available online at: http://ssrn.com/abstract=1506046
   Google Scholar
• Papapantaleon , A . 2010 . Old and new approaches to Libor modelling . Stat. Neerl. , 64 : 3
   Google Scholar
• Pallavicini, A., Perini, D. and Brigo, D., Funding valuation adjustment: A consistent framework including CVA, DVA, collateral, netting rules and re-hypothecation, 2011. Available online at: http://ssrn.com/abstract=1969114
   Google Scholar
• Pallavicini, A. and Tarenghi, M., Interest-rate modelling with multiple yield curves, 2010. Available online at: http://ssrn.com/abstract=1629688
   Google Scholar
• Ritchken , P and Sankarasubramanian , L . 1995 . Volatility structures of forward rates and the dynamics of the term structure . Math. Finance , 7 : 157 – 176 .
   Google Scholar
• Schrager, D.F. and Pelsser, A.J., Pricing swaptions and coupon bond options in affine term structure models. Math. Financ., 2006, 16(4), 673–694. Available online at http://www.ssrn.com/abstract=630402
   Google Scholar
• Torrealba, M., Modelling the spread and applications to callable spread options. Talk presented at 6th WBS Fixed Income Conference, Madrid, 2010.
   Google Scholar
• Torrealba, M., Multi-curve low dimensional markovian models in a HJM framework. Applications to Long Term Hybrids (FX/Rates, Inflation/Rates). Talk presented at 7th WBS Fixed Income Conference, Berlin, 2011.
   Google Scholar
• Trolle , A and Schwartz , E . 2009 . A general stochastic volatility model for the pricing of interest rate derivatives . Rev. Financ. Stud. , 22 ( 5 ) : 2007 – 2057 .
   Web of Science ®Google Scholar