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Research Papers

Hedging strategies for energy derivatives

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Pages 1725-1737 | Received 06 Oct 2011, Accepted 02 Aug 2013, Published online: 25 Oct 2013

References

  • Albert, A., Regression and the Moore–Penrose Pseudoinverse, Volume 94 of Mathematics in Science and Engineering, 1972 (Academic Press: New York and London).
  • Altmann, T., Schmidt, T. and Stute, W., A shot noise model for financial assets. Int. J. Theor. Appl. Finance, 2008, 11(1), 87–106.
  • Ankirchner , S , Imkeller , P and Reis , G . 2010 . Pricing and hedging of derivatives based on non-tradable underlyings . Math. Finance , 20 ( 2 ) : 289 – 312 .
  • Bertsimas , D , Kogan , L and Lo , AW . 2001 . Hedging derivative securities and incomplete markets: An -arbitrage approach . Oper. Res. , 49 ( 3 ) : 372 – 397 .
  • Biagini , F , Guasoni , P and Pratelli , M . 2000 . Mean-variance hedging for stochastic volatility models . Math. Finance , 10 ( 2 ) : 109 – 123 .
  • Brodén , M and Tankov , P . 2011 . Tracking errors from discrete hedging in exponential Lévy models . Int. J. Theor. Appl. Finance , 14 : 1 – 35 .
  • Černý , A and Kallsen , J . 2007 . On the structure of general mean-variance hedging strategies . Ann. Probab. , 35 ( 4 ) : 1479 – 1531 .
  • Černý , A and Kallsen , J . 2008 . Mean-variance hedging and optimal investment in Heston’s model with correlation . Math. Finance , 18 : 473 – 492 .
  • Chan, T., Kollar, J. and Wiese, A., The variance-optimal martingale measure in Lévy models with stochastic volatility. Technical report, 2009.
  • Choulli, T., Krawczyk, L. and Stricker, C., -martingales and their applications in mathematical finance. Ann. Probab., 1998, 26(2), 853–876.
  • Choulli , T , Vandaele , N and Vanmaele , M . 2010 . The Föllmer–Schweizer decomposition: Comparison and description . Stochas. Process. Appl. , 120 ( 6 ) : 853 – 872 .
  • Colwell , D and Elliott , R . 1993 . Discontinuous asset prices and non-attainable contingent claims . Math. Finance , 3 ( 3 ) : 295 – 308 .
  • Davis, M., Optimal hedging with basis risk. In From Stochastic Calculus to Mathematical Finance, Mathematics and Statistics, edited by Y. Kabanov, R. Liptser, and J. Stoyanov, pp. 169–187, 2006 (Springer: Berlin Heidelberg).
  • Denkl, S., Goy, M., Kallsen, J., Muhle-Karbe, J. and Pauwels, A., On the performance of delta hedging strategies in exponential Lévy models. Technical report, Universität zu Kiel, 2009.
  • Karoui , N , Peng , S and Quenez , M . 1997 . Backward stochastic differential equations in finance . Math. Finance , 7 ( 1 ) : 1 – 71 .
  • Frey , R and Runggaldier , W . 1999 . Risk-minimizing hedging strategies under restricted information: The case of stochastic volatility models observable only at discrete random times . Math. Methods Oper. Res. , 50 : 339 – 350 .
  • Henderson , V . 2002 . Valuation of claims on nontraded assets using utility maximization . Math. Finance , 12 ( 4 ) : 351 – 373 .
  • Henderson , V and Hobson , D . 2002 . Real options with constant relative risk aversion . J. Econ. Dyn. Control , 27 : 329 – 355 .
  • Hobson, D.G., Bounds for the utility-difference prices of non-traded assets in incomplete markets. Decis. Econ. Finance, 2005, 28, 33–52.
  • Horst, U., Pirvu, T. and Reis, G., On securitization, market completion and equilibrium risk transfer. Math. Financ. Econ., 2010, 2(4), 211–252.
  • Hubalek , F and Sgarra , C . 2007 . Quadratic hedging for the Bates model . Int. J. Theor. Appl. Finance , 10 ( 5 ) : 873 – 885 .
  • Hubalek , F , Kallsen , J and Krawczyk , L . 2006 . Variance-optimal hedging for processes with stationary independent increments . Ann. Appl. Probab. , 16 : 853 – 885 .
  • Kallsen, J. and Pauwels, A., Variance-optimal hedging in general affine stochastic volatility. Adv. Appl. Probab., 2010, 42(1), 83–105.
  • Kallsen , J and Pauwels , A . 2011 . Variance-optimal hedging for time-changed Lévy processes . Appl. Math. Finance , 18 ( 1 ) : 1 – 28 .
  • Kallsen, J. and Vierthauer, R., Quadratic hedging in affine stochastic volatility models. Rev. Deriv. Res., 2009, 12(1), 3–27.
  • Kallsen, J., Muhle-Karbe, J., Shenkman, N. and Vierthauer, R., Discrete-time variance-optimal hedging in affine stochastic volatility models. In Alternative Investments and Strategies, edited by R. Kiesel, M. Scherer, and R. Zagst, pp. 369–387, 2010 (World Scientific: Singapore).
  • Leoni, P. and Schoutens, W., Multivariate smiling, Wilmott Mag., March 2008.
  • Monat , P and Stricker , C . 1995 . Föllmer–Schweizer decomposition and mean-variance hedging for general claims . Ann. Probab. , 23 : 605 – 628 .
  • Monoyios , M . 2004 . Performance of utility-based strategies for hedging basis risk . Quant. Finance , 4 : 245 – 255 .
  • Njoh , S . 2007 . Cross hedging within a log mean reverting model . Int. J. Theor. Appl. Finance , 10 ( 5 ) : 887 – 914 .
  • Pham , H . 2000 . On quadratic hedging in continuous time . Math. Methods Oper. Res. , 51 : 315 – 339 .
  • Poulsen , R , Schenk-Hoppé , KR and Ewald , C-O . 2009 . Risk minimization in stochastic volatility models: Model risk and empirical performance . Quant. Finance , 9 ( 6 ) : 693 – 704 .
  • Schoutens, W., Lévy Processes in Finance. Wiley Series in Probability and, Statistics, 2003 (John Wiley & Sons: Chichester).
  • Schweizer , M . 1991 . Option hedging for semimartingales . Stochas. Process. Appl. , 37 : 339 – 363 .
  • Schweizer, M., A guided tour through quadratic hedging approaches. In Option Pricing, Interest Rates and Risk Management, edited by E. Jouini, J. Cvitanić, and M. Musiela, pp. 538–574, 2001 (Cambridge University Press: Cambridge, UK).
  • Schweizer , M . 2008 . Local risk-minimization for multidimensional assets and payment streams . Banach Cent. Pub. , 83 : 213 – 229 .
  • Vandaele, N., Quadratic hedging in finance and insurance. PhD Thesis, Ghent University, 2010.
  • Vandaele, N. and Vanmaele, M., Overview: (locally) risk-minimizing hedging strategies. In Handelingen Contactforum Actuarial and Financial Mathematics Conference, February 7–8, 2008, edited by M. Vanmaele, G. Deelstra, A. De Schepper, J. Dhaene, H. Reynaerts, W. Schoutens, and P. Van Goethem, pp. 107–119, 2008 (Koninklijke Vlaamse Academie van België voor Wetenschappen en Kunsten: Brussels).

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