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Research Papers

A dynamic equilibrium model for U-shaped pricing kernels

Pages 851-875 | Received 14 Feb 2017, Accepted 29 Sep 2017, Published online: 20 Nov 2017

References

  • Aıt-Sahalia, Y. and Lo, A., Nonparametric risk management and implied risk aversion. J. Econometrics, 2000, 94(1), 9–51.
  • Back, K., Asset Pricing and Portfolio Choice Theory, 2010 (Oxford University Press: New York).
  • Bakshi, G., Kapadia, N. and Madan, D., Stock return characteristics, skew laws, and the differential pricing of individual equity options. Rev. Financ. Stud., 2003, 16(1), 101–143.
  • Bakshi, G., Madan, D. and Panayotov, G., Returns of claims on the upside and the viability of U-shaped pricing kernels. J. Financ. Econ., 2010, 97(1), 130–154.
  • Barndorff-Nielsen, O., Processes of normal inverse Gaussian type. Finance Stoch., 1997, 2(1), 41–68.
  • Barndorff-Nielsen, O. and Shephard, N., Non-Gaussian Ornstein-Uhlenbeck-based models and some of their uses in financial economics. J. R. Stat. Soc. Ser. B (Stat. Method.), 2001, 63(2), 167–241.
  • Black, F. and Scholes, M., The pricing of options and corporate liabilities. J. Polit. Econ., 1973, 81(3), 637–654.
  • Bliss, R. and Panigirtzoglou, N., Option-implied risk aversion estimates. J. Finance, 2004, 59(1), 407–446.
  • Bollerslev, T., Marrone, J., Xu, L. and Zhou, H., Stock return predictability and variance risk premia: statistical inference and international evidence. J. Financ. Quant. Anal., 2014, 49(3), 633–661.
  • Bollerslev, T., Tauchen, G. and Zhou, H., Expected stock returns and variance risk premia. Rev. Financ. Stud., 2009, 22(11), 4463–4492.
  • Broadie, M., Chernov, M. and Johannes, M., Understanding index option returns. Rev. Financ. Stud., 2009, 22(11), 4493–4529.
  • Cao, C. and Huang, J.-Z., Determinants of S &P 500 index option returns. Rev. Derivatives Res., 2007, 10(1), 1–38.
  • Carr, P., Geman, H., Madan, D. and Yor, M., The fine structure of asset returns: An empirical investigation. J. Bus., 2002, 75(2),305–333.
  • Carr, P., Geman, H., Madan, D. and Yor, M., Stochastic volatility for Lévy processes. Math. Finance, 2003, 13(3), 345–382.
  • Carr, P., Lee, R. and Wu, L., Variance swaps on time-changed Lévy processes. Finance Stoch., 2012, 16(2), 335–355.
  • Carr, P. and Madan, D., Option valuation using the fast Fourier transform. J. Comput. Finance, 1999, 2(4), 61–73.
  • Carr, P. and Wu, L., Time-changed Lévy processes and option pricing. J. Financ. Econ., 2004, 71(1), 113–141.
  • Carr, P. and Wu, L., Stochastic skew in currency options. J. Financ. Econ., 2007, 86(1), 213–247.
  • Carr, P. and Wu, L., Variance risk premiums. Rev. Financ. Stud., 2009, 22(3), 1311–1341.
  • Christoffersen, P., Heston, S. and Jacobs, K., Capturing option anomalies with a variance-dependent pricing kernel. Rev. Financ. Stud., 2013, 26(8), 1963–2006.
  • Cochrane, J., Asset Pricing, Revised ed., 2009 (Princeton University Press: Princeton, NJ).
  • Cont, R. and Tankov, P., Financial Modelling with Jump Processes, 2004 (CRC Press: Boca Raton, FL).
  • Coval, J. and Shumway, T., Expected option returns. J. Finance, 2001, 56(3), 983–1009.
  • Cox, J., Ingersoll, J. and Ross, S., A theory of the term structure of interest rates. Econometrica, 1985, 53(2), 385–407.
  • Duffie, D., Dynamic Asset Pricing Theory, 3rd ed., 2010 (Princeton University Press: Princeton, NJ).
  • Duffie, D., Pan, J. and Singleton, K., Transform analysis and asset pricing for affine jump-diffusions. Econometrica, 2000, 68(6), 1343–1376.
  • Epstein, L. and Zin, S., Substitution, risk aversion, and the temporal behavior of consumption and asset returns: A theoretical framework. Econometrica, 1989, 57(4), 937–969.
  • Eraker, B., Affine general equilibrium models. Manage. Sci., 2008, 54(12), 2068–2080.
  • Eraker, B. and Shaliastovich, I., An equilibrium guide to designing affine pricing models. Math. Finance, 2008, 18(4), 519–543.
  • Figueroa-López, J., Nonparametric estimation of time-changed Lévy models under high-frequency data. Adv. Appl. Probab., 2009, 41(4), 1161–1188.
  • Heston, S., A closed-form solution for options with stochastic volatility with applications to bond and currency options. Rev. Financ. Stud., 1993, 6(2), 327–343.
  • Heston, S. and Nandi, S., A closed-form GARCH option valuation model. Rev. Financ. Stud., 2000, 13(3), 585–625.
  • Huang, J. and Wu, L., Specification analysis of option pricing models based on time-changed Lévy processes. J. Finance, 2004, 59(3), 1405–1439.
  • Itkin, A. and Carr, P., Pricing swaps and options on quadratic variation under stochastic time change models -discrete observations case. Rev. Derivatives Res., 2010, 13(2), 141–176.
  • Jackwerth, J., Recovering risk aversion from option prices and realized returns. Rev. Financ. Stud., 2000, 13(2), 433–451.
  • Jackwerth, J. and Rubinstein, M., Recovering probability distributions from option prices. J. Finance, 1996, 51(5), 1611–1631.
  • Kallsen, J. and Pauwels, A., Variance-optimal hedging for time-changed Lévy processes. Appl. Math. Finance, 2011, 18(1), 1–28.
  • Lucas, R., Asset prices in an exchange economy. Econometrica, 1978, 46(6), 1429–1445.
  • Madan, D. and Seneta, E., The variance gamma (VG) model for share market returns. J. Bus., 1990, 63(4), 511–524.
  • Martin, I., Consumption-based asset pricing with higher cumulants. Rev. Econ. Stud., 2013, 80(2), 745–773.
  • Merton, R., Scholes, M. and Gladstein, M., The returns and risk of alternative call option portfolio investment strategies. J. Bus., 1978, 51(2), 183–242.
  • Pan, J., The jump-risk premia implicit in options: Evidence from an integrated time-series study. J. Financ. Econ., 2002, 63(1), 3–50.
  • Pennacchi, G., Theory of Asset Pricing, 2008 (Pearson/Addison-Wesley: Boston).
  • Rompolis, L. and Tzavalis, E., Recovering risk neutral densities from option prices: A new approach. J. Financ. Quant. Anal., 2008, 43(4), 1037–1053.
  • Rosenberg, J. and Engle, R., Empirical pricing kernels. J. Financ. Econ., 2002, 64(3), 341–372.
  • Rubinstein, M., A simple formula for the expected rate of return of an option over a finite holding period. J. Finance, 1984, 39(5), 1503–1509.
  • Sato, K., Lévy Processes and Infinitely Divisible Distributions, 1999 (Cambridge University Press: New York).
  • Schoutens, W., L\’{e}vy Processes in Finance, 2003 (Wiley: London).
  • Song, Z. and Xiu, D., A tale of two option markets: Pricing kernels and volatility risk. J. Econom, 2016, 190(1), 176–196.
  • Todorov, V., Variance risk-premium dynamics: The role of jumps. Rev. Financ. Stud., 2010, 23(1), 345–383.
  • Umezawa, Y. and Yamazaki, A., Pricing path-dependent options with discrete monitoring under time-changed Lévy processes. Appl. Math. Finance, 2015, 22(2), 133–161.
  • Vanden, J., Options trading and the CAPM. Rev. Financ. Stud., 2004, 17(1), 207–238.
  • Weil, P., The equity premium puzzle and the risk-free rate puzzle. J. Monetary Econ., 1989, 24(3), 401–421.
  • Yamazaki, A., Pricing average options under time-changed Lévy processes. Rev. Derivatives Res., 2014, 17(1), 79–111.
  • Yamazaki, A., Asset pricing with non-geometric type of dividends. Ann. Financ. Econ., 2015, 10(2), doi:10.1142/S2010495215500165.
  • Yamazaki, A., Generalized Barndorff-Nielsen and Shephard model and discretely monitored option pricing. Int. J. Theor. Appl. Finance, 2016, 19(4), doi:10.1142/S0219024916500242.
  • Yamazaki, A., Equilibrium equity price with optimal dividend policy. Int. J. Theor. Appl. Finance, 2017, 20(2), doi: 10.1142/S0219024917500121.
  • Zeng, P. and Kwok, Y., Pricing bounds and approximations for discrete arithmetic Asian options under time-changed Lévy processes. Quant. Finance, 2016, 16(9), 1375–1391.
  • Zheng, W., Yuen, C. and Kwok, Y., Recursive algorithms for pricing discrete variance options and volatility swaps under time-changed Lévy processes. Int. J. Theor. Appl. Finance, 2016, 19(2), doi:10.1142/S0219024916500114.

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