Nonparametric Estimation of State-Price Densities Implicit in Interest Rate Cap Prices
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- Rong Fan & Anurag Gupta & Peter Ritchken, 2003. "Hedging in the Possible Presence of Unspanned Stochastic Volatility: Evidence from Swaption Markets," Journal of Finance, American Finance Association, vol. 58(5), pages 2219-2248, October.
- Ait-Sahalia, Yacine, 1996.
"Testing Continuous-Time Models of the Spot Interest Rate,"
The Review of Financial Studies, Society for Financial Studies, vol. 9(2), pages 385-426.
- Yacine Ait-Sahalia, 1995. "Testing Continuous-Time Models of the Spot Interest Rate," NBER Working Papers 5346, National Bureau of Economic Research, Inc.
- Leippold, Markus & Wu, Liuren, 2002.
"Asset Pricing under the Quadratic Class,"
Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 37(2), pages 271-295, June.
- Markus Leippold & Liuren Wu, 2002. "Asset Pricing Under The Quadratic Class," Finance 0207015, University Library of Munich, Germany.
- Ait-Sahalia, Yacine & Lo, Andrew W., 2000.
"Nonparametric risk management and implied risk aversion,"
Journal of Econometrics, Elsevier, vol. 94(1-2), pages 9-51.
- Yacine Ait-Sahalia & Andrew W. Lo, 2000. "Nonparametric Risk Management and Implied Risk Aversion," NBER Working Papers 6130, National Bureau of Economic Research, Inc.
- Jackwerth, Jens Carsten, 2000.
"Recovering Risk Aversion from Option Prices and Realized Returns,"
The Review of Financial Studies, Society for Financial Studies, vol. 13(2), pages 433-451.
- Jens Carsten Jackwerth., 1996. "Recovering Risk Aversion from Option Prices and Realized Returns," Research Program in Finance Working Papers RPF-265, University of California at Berkeley.
- Jens Carsten Jackwerth, 1998. "Recovering Risk Aversion from Option Prices and Realized Returns," Finance 9803002, University Library of Munich, Germany.
- Ait-Sahalia, Yacine & Duarte, Jefferson, 2003.
"Nonparametric option pricing under shape restrictions,"
Journal of Econometrics, Elsevier, vol. 116(1-2), pages 9-47.
- Yacine Ait-Sahalia & Jefferson Duarte, 2002. "Nonparametric Option Pricing under Shape Restrictions," NBER Working Papers 8944, National Bureau of Economic Research, Inc.
- Qiang Dai & Kenneth Singleton, 2003. "Term Structure Dynamics in Theory and Reality," The Review of Financial Studies, Society for Financial Studies, vol. 16(3), pages 631-678, July.
- Darrell Duffie & Jun Pan & Kenneth Singleton, 2000.
"Transform Analysis and Asset Pricing for Affine Jump-Diffusions,"
Econometrica, Econometric Society, vol. 68(6), pages 1343-1376, November.
- Darrell Duffie & Jun Pan & Kenneth Singleton, 1999. "Transform Analysis and Asset Pricing for Affine Jump-Diffusions," NBER Working Papers 7105, National Bureau of Economic Research, Inc.
- Dong-Hyun Ahn & Robert F. Dittmar, 2002. "Quadratic Term Structure Models: Theory and Evidence," The Review of Financial Studies, Society for Financial Studies, vol. 15(1), pages 243-288, March.
- Pierre Collin‐Dufresne & Robert S. Goldstein, 2002. "Do Bonds Span the Fixed Income Markets? Theory and Evidence for Unspanned Stochastic Volatility," Journal of Finance, American Finance Association, vol. 57(4), pages 1685-1730, August.
- David Heath & Robert Jarrow & Andrew Morton, 2008.
"Bond Pricing And The Term Structure Of Interest Rates: A New Methodology For Contingent Claims Valuation,"
World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 13, pages 277-305,
World Scientific Publishing Co. Pte. Ltd..
- Heath, David & Jarrow, Robert & Morton, Andrew, 1992. "Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation," Econometrica, Econometric Society, vol. 60(1), pages 77-105, January.
- Brenner, Robin J. & Harjes, Richard H. & Kroner, Kenneth F., 1996. "Another Look at Models of the Short-Term Interest Rate," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 31(1), pages 85-107, March.
- Robert JARROW & Andrew RUDD, 2008.
"Approximate Option Valuation For Arbitrary Stochastic Processes,"
World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 1, pages 9-31,
World Scientific Publishing Co. Pte. Ltd..
- Jarrow, Robert & Rudd, Andrew, 1982. "Approximate option valuation for arbitrary stochastic processes," Journal of Financial Economics, Elsevier, vol. 10(3), pages 347-369, November.
- Miltersen, Kristian R & Sandmann, Klaus & Sondermann, Dieter, 1997. "Closed Form Solutions for Term Structure Derivatives with Log-Normal Interest Rates," Journal of Finance, American Finance Association, vol. 52(1), pages 409-430, March.
- Beber, Alessandro & Brandt, Michael W., 2006.
"The effect of macroeconomic news on beliefs and preferences: Evidence from the options market,"
Journal of Monetary Economics, Elsevier, vol. 53(8), pages 1997-2039, November.
- Alessandro Beber & Michael W. Brandt, 2003. "The Effect of Macroeconomic News on Beliefs and Preferences: Evidence from the Options Market," NBER Working Papers 9914, National Bureau of Economic Research, Inc.
- Alessandro BEBER & Michael W. BRANDT, 2004. "The Effects of Macroeconomic News on Beliefs and Preferences: Evidence from the Options Market," FAME Research Paper Series rp105, International Center for Financial Asset Management and Engineering.
- Rosenberg, Joshua V. & Engle, Robert F., 2002.
"Empirical pricing kernels,"
Journal of Financial Economics, Elsevier, vol. 64(3), pages 341-372, June.
- Joshua Rosenberg & Robert F. Engle, 2000. "Empirical Pricing Kernels," New York University, Leonard N. Stern School Finance Department Working Paper Seires 99-014, New York University, Leonard N. Stern School of Business-.
- Clifford A. Ball & Walter N. Torous, 1999. "The Stochastic Volatility of Short‐Term Interest Rates: Some International Evidence," Journal of Finance, American Finance Association, vol. 54(6), pages 2339-2359, December.
- Haitao Li & Feng Zhao, 2006. "Unspanned Stochastic Volatility: Evidence from Hedging Interest Rate Derivatives," Journal of Finance, American Finance Association, vol. 61(1), pages 341-378, February.
- Alan Brace & Dariusz G¸atarek & Marek Musiela, 1997. "The Market Model of Interest Rate Dynamics," Mathematical Finance, Wiley Blackwell, vol. 7(2), pages 127-155, April.
- Breeden, Douglas T & Litzenberger, Robert H, 1978. "Prices of State-contingent Claims Implicit in Option Prices," The Journal of Business, University of Chicago Press, vol. 51(4), pages 621-651, October.
- Robert Jarrow & Haitao Li & Feng Zhao, 2007. "Interest Rate Caps “Smile” Too! But Can the LIBOR Market Models Capture the Smile?," Journal of Finance, American Finance Association, vol. 62(1), pages 345-382, February.
- Torben G. Andersen & Luca Benzoni, 2010.
"Do Bonds Span Volatility Risk in the U.S. Treasury Market? A Specification Test for Affine Term Structure Models,"
Journal of Finance, American Finance Association, vol. 65(2), pages 603-653, April.
- Torben G. Andersen & Luca Benzoni, 2006. "Do bonds span volatility risk in the U.S. Treasury market? a specification test for affine term structure models," Working Paper Series WP-06-15, Federal Reserve Bank of Chicago.
- Torben G. Andersen & Luca Benzoni, 2007. "Do Bonds Span Volatility Risk in the U.S. Treasury Market? A Specification Test for Affine Term Structure Models," CREATES Research Papers 2007-25, Department of Economics and Business Economics, Aarhus University.
- Torben G. Andersen & Luca Benzoni, 2007. "Do Bonds Span Volatility Risk in the U.S. Treasury Market? A Specification test for Affine Term Structure Models," NBER Working Papers 12962, National Bureau of Economic Research, Inc.
- Andersen, Torben G. & Lund, Jesper, 1997. "Estimating continuous-time stochastic volatility models of the short-term interest rate," Journal of Econometrics, Elsevier, vol. 77(2), pages 343-377, April.
- repec:bla:jfinan:v:53:y:1998:i:2:p:499-547 is not listed on IDEAS
- Gupta, Anurag & Subrahmanyam, Marti G., 2005. "Pricing and hedging interest rate options: Evidence from cap-floor markets," Journal of Banking & Finance, Elsevier, vol. 29(3), pages 701-733, March.
- Black, Fischer, 1976. "The pricing of commodity contracts," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 167-179.
- Francis A. Longstaff & Pedro Santa‐Clara & Eduardo S. Schwartz, 2001. "The Relative Valuation of Caps and Swaptions: Theory and Empirical Evidence," Journal of Finance, American Finance Association, vol. 56(6), pages 2067-2109, December.
Citations
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- R. L�pez & E. Navarro, 2013. "Interest rate and stock return volatility indices for the Eurozone. Investors' gauges of fear during the recent financial crisis," Applied Financial Economics, Taylor & Francis Journals, vol. 23(18), pages 1419-1432, September.
- Ivanova, Vesela & Puigvert Gutiérrez, Josep Maria, 2014. "Interest rate forecasts, state price densities and risk premium from Euribor options," Journal of Banking & Finance, Elsevier, vol. 48(C), pages 210-223.
- Backwell, Alex, 2021. "Unspanned stochastic volatility from an empirical and practical perspective," Journal of Banking & Finance, Elsevier, vol. 122(C).
- Kitsul, Yuriy & Wright, Jonathan H., 2013.
"The economics of options-implied inflation probability density functions,"
Journal of Financial Economics, Elsevier, vol. 110(3), pages 696-711.
- Jonathan Wright & Yuriy Kitsul, 2012. "The Economics of Options-Implied Inflation Probability Density Functions," 2012 Meeting Papers 174, Society for Economic Dynamics.
- Yuriy Kitsul & Jonathan H. Wright, 2012. "The Economics of Options-Implied Inflation Probability Density Functions," Economics Working Paper Archive 600, The Johns Hopkins University,Department of Economics.
- Yuriy Kitsul & Jonathan H. Wright, 2012. "The Economics of Options-Implied Inflation Probability Density Functions," NBER Working Papers 18195, National Bureau of Economic Research, Inc.
- Christoffersen, Peter & Jacobs, Kris & Chang, Bo Young, 2013.
"Forecasting with Option-Implied Information,"
Handbook of Economic Forecasting, in: G. Elliott & C. Granger & A. Timmermann (ed.), Handbook of Economic Forecasting, edition 1, volume 2, chapter 0, pages 581-656,
Elsevier.
- Peter Christoffersen & Kris Jacobs & Bo Young Chang, 2011. "Forecasting with Option Implied Information," CREATES Research Papers 2011-46, Department of Economics and Business Economics, Aarhus University.
- Leippold, Markus & Strømberg, Jacob, 2014.
"Time-changed Lévy LIBOR market model: Pricing and joint estimation of the cap surface and swaption cube,"
Journal of Financial Economics, Elsevier, vol. 111(1), pages 224-250.
- Markus Leippold & Jacob Stromberg, 2012. "Time-Changed Lévy LIBOR Market Model: Pricing and Joint Estimation of the Cap Surface and Swaption Cube," Swiss Finance Institute Research Paper Series 12-23, Swiss Finance Institute.
- Coenen, Günter & Montes-Galdón, Carlos & Saint Guilhem, Arthur & Hutchinson, John & Motto, Roberto, 2022. "Rate forward guidance in an environment of large central bank balance sheets: a Eurosystem stock-taking assessment," Occasional Paper Series 290, European Central Bank.
- J. Arismendi-Zambrano & R. Azevedo, 2020. "Implicit Entropic Market Risk-Premium from Interest Rate Derivatives," Economics Department Working Paper Series n303-20.pdf, Department of Economics, National University of Ireland - Maynooth.
- Li, Gang & Zhang, Chu, 2016. "On the relationship between conditional jump intensity and diffusive volatility," Journal of Empirical Finance, Elsevier, vol. 37(C), pages 196-213.
- Covarrubias, Enrique & Hernández-del-Valle, Gerardo, 2016. "Inflation expectations derived from a portfolio model," MPRA Paper 69489, University Library of Munich, Germany.
- Biao Guo & Qian Han & Doojin Ryu, 2013. "The Number of State Variables for CDS Pricing," Working Papers 2013-10-14, Wang Yanan Institute for Studies in Economics (WISE), Xiamen University.
- Karl Härdle, Wolfgang & López-Cabrera, Brenda & Teng, Huei-Wen, 2015.
"State price densities implied from weather derivatives,"
Insurance: Mathematics and Economics, Elsevier, vol. 64(C), pages 106-125.
- Härdle, Wolfgang Karl & López-Cabrera, Brenda & Teng, Huei-wen, 2013. "State Price Densities implied from weather derivatives," SFB 649 Discussion Papers 2013-026, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
- Song, Zhaogang & Xiu, Dacheng, 2016.
"A tale of two option markets: Pricing kernels and volatility risk,"
Journal of Econometrics, Elsevier, vol. 190(1), pages 176-196.
- Zhaogang Song & Dacheng Xiu, 2014. "A Tale of Two Option Markets: Pricing Kernels and Volatility Risk," Finance and Economics Discussion Series 2014-58, Board of Governors of the Federal Reserve System (U.S.).
- Frédéric Vrins & Linqi Wang, 2023.
"Asymmetric short-rate model without lower bound,"
Quantitative Finance, Taylor & Francis Journals, vol. 23(2), pages 279-295, February.
- Vrins, Frédéric & Wang, Linqi, 2021. "Asymmetric short-rate model without lower bound," LIDAM Discussion Papers LFIN 2021006, Université catholique de Louvain, Louvain Finance (LFIN).
- Kwai S. Leung & Hon Y. Ng & Hoi Y. Wong, 2014. "Stochastic Skew in the Interest Rate Cap Market," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 34(12), pages 1146-1169, December.
- Fousseni Chabi-Yo, 2012. "Pricing Kernels with Stochastic Skewness and Volatility Risk," Management Science, INFORMS, vol. 58(3), pages 624-640, March.
- repec:hum:wpaper:sfb649dp2013-026 is not listed on IDEAS
- Horatio Cuesdeanu & Jens Carsten Jackwerth, 2018. "The pricing kernel puzzle: survey and outlook," Annals of Finance, Springer, vol. 14(3), pages 289-329, August.
- Lu, Junwen & Qu, Zhongjun, 2021. "Sieve estimation of option-implied state price density," Journal of Econometrics, Elsevier, vol. 224(1), pages 88-112.
- Meng, Bo & Vijh, Anand M., 2021. "Stock merger activity and industry performance," Journal of Banking & Finance, Elsevier, vol. 129(C).
- Gang Li & Chu Zhang, 2010. "On the Number of State Variables in Options Pricing," Management Science, INFORMS, vol. 56(11), pages 2058-2075, November.
- Li, Gang & Zhang, Chu, 2013. "Diagnosing affine models of options pricing: Evidence from VIX," Journal of Financial Economics, Elsevier, vol. 107(1), pages 199-219.
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