Hedging performance of the Libor market model: the cap market case

References

• Alexander , C . 2003 . Common correlation and calibrating the lognormal forward rate model , WILMOTT Magazine 68 – 78 .
   Google Scholar
• Andersen , L and Andreasen , J . 2000 . Volatility skews and extensions of the Libor market model . Applied Mathematical Finance , 7 : 1 – 32 .
   Google Scholar
• Avellaneda , M and Laurence , P . 2000 . Quantitative Modelling of Derivative Securities: From Theory to Practice , Florida : Chapman & Hall/CRC .
   Google Scholar
• Black , F . 1976 . The pricing of commodity contracts . Journal of Financial Economics , 3 : 167 – 79 .
   Web of Science ®Google Scholar
• Blyth , S and Uglum , J . 1999 . Rates of skew . Risk , 12 : 61 – 3 .
   Google Scholar
• Brace , A , Gatarek , D and Musiela , M (BGM) . 1997 . The market model of interest rate dynamics . Mathematical Finance , 7 : 127 – 55 .
   Web of Science ®Google Scholar
• Brennan , M and Schwartz , E . 1982 . An equilibrium model of bond pricing and a test of market efficiency . Journal of Financial and Quantitative Analysis , 17 : 301 – 29 .
   Web of Science ®Google Scholar
• Collin-Dufresne , P and Goldstein , R . 2002 . Do bonds span the fixed income markets? Theory and evidence for unspanned stochastic volatility . Journal of Finance , 57 : 1685 – 730 .
   Web of Science ®Google Scholar
• Cox , J and Ross , SA . 1976 . The valuation of options for alternative stochastic processes . Journal of Financial Economics , 3 : 145 – 66 .
   Web of Science ®Google Scholar
• Driessen , J , Klaassen , P and Melenberg , B . 2003 . The performance of multi-factor term structure models for pricing and hedging caps and swaptions . Journal of Financial and Quantitative Analysis , 38 : 635 – 72 .
   Web of Science ®Google Scholar
• Fan , R , Gupta , A and Ritchken , P . 2003 . Hedging in the possible presence of unspanned stochastic volatility: evidence from swaption markets . Journal of Finance , 58 : 2219 – 48 .
   Web of Science ®Google Scholar
• Glasserman , P and Zhao , X . 2000 . Arbitrage-free discretization of lognormal forward Libor and swap rate models . Finance and Stochastics , 4 : 35 – 68 .
   Google Scholar
• Gupta , A and Subrahmanyam , M . 2005 . Pricing and hedging interest rate options: evidence from cap-floor markets . Journal of Banking and Finance , 29 : 701 – 33 .
   Web of Science ®Google Scholar
• Heath , D , Jarrow , R and Morton , A(HJM) . 1992 . Bond pricing and the term structure of interest rates: a new methodology . Econometrica , 60 : 77 – 105 .
   Web of Science ®Google Scholar
• Heidari , M and Wu , L . 2003 . Are interest rate derivatives spanned by the term structure of interest rates? . Journal of Fixed Income , 13 : 75 – 86 .
   Google Scholar
• Hull , J and White , A . 1990 . Pricing interest-rate derivative securities . Review of Financial Studies , 3 : 573 – 92 .
   Web of Science ®Google Scholar
• Hull , J and White , A . 2000 . Forward rate volatilities, swap rate volatilities, and implementation of the Libor market model . Journal of Fixed Income , 10 : 46 – 62 .
   Google Scholar
• Jamshidian , F . 1997 . Libor and swap market models and measures . Finance and Stochastics , 1 : 293 – 330 .
   Google Scholar
• Knez , P , Litterman , R and Scheinkman , J . 1994 . Explorations into factors explaining money market . Journal of Finance , 49 : 1861 – 82 .
   Web of Science ®Google Scholar
• Li , H and Zhao , F . 2006 . Unspanned stochastic volatility: evidence from hedging interest rate derivatives . Journal of Finance , 61 : 341 – 78 .
   Web of Science ®Google Scholar
• Litterman , R and Scheinkman , J . 1991 . Common factors affecting bond returns . Journal of Fixed Income , 1 : 54 – 61 .
   Google Scholar
• Longstaff , F , Santa-Clara , P and Schwartz , E . 2001 . Throwing away a billion dollars: the cost of suboptimal exercise strategies in the swaptions market . Journal of Financial Economics , 62 : 39 – 66 .
   Web of Science ®Google Scholar
• Martellini, L., Priaulet, P., and Priaulet, S. (2001) Understanding the butterfly strategy, Research and Innovation Notes, CCF
   Google Scholar
• Miltersen , K , Sandmann , K and Sondermann , D . 1997 . Closed form solutions for term structure derivatives with lognormal interest rates . Journal of Finance , 52 : 409 – 30 .
   Web of Science ®Google Scholar
• Protter , PE . 2004 . Stochastic Integration and Differential Equations, , 2nd , Heidelberg : Springer .
   Google Scholar
• Rebonato , R . 1999 . Volatility and Correlation , Chichester : John Wiley & Sons .
   Google Scholar