Actuarial risk measures for financial derivative pricing
Abstract
We present an axiomatic characterization of price measures that are superadditive and comonotonic additive for normally distributed random variables. The price representation derived involves a probability measure transform that is closely related to the Esscher transform, and we call it the Esscher-Girsanov transform. In a financial market in which the primary asset price is represented by a stochastic differential equation with respect to Brownian motion, the price mechanism based on the Esscher-Girsanov transform can generate approximate-arbitrage-free financial derivative prices.Download Info
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Bibliographic Info
Article provided by Elsevier in its journal Insurance: Mathematics and Economics.
Volume (Year): 42 (2008)
Issue (Month): 2 (April)
Pages: 540-547
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Web page: http://www.elsevier.com/locate/inca/505554
Related research
Keywords:Other versions of this item:
- Goovaerts, Marc & Laeven, R., 2008. "Actuarial risk measures for financial derivative pricing," Open Access publications from Katholieke Universiteit Leuven urn:hdl:123456789/200996, Katholieke Universiteit Leuven.
References
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Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.Cited by:
- Henryk, Gzyl & Silvia, Mayoral, 2006.
"On a relationship between distorted and spectral risk measures,"
MPRA Paper
916, University Library of Munich, Germany.
- Henryk Gzyl & Silvia Mayoral, . "On a relationship between distorted and spectral risk measures," Faculty Working Papers 15/06, School of Economics and Business Administration, University of Navarra.
- Chen, Hua & Cox, Samuel H. & Wang, Shaun S., 2010. "Is the Home Equity Conversion Mortgage in the United States sustainable? Evidence from pricing mortgage insurance premiums and non-recourse provisions using the conditional Esscher transform," Insurance: Mathematics and Economics, Elsevier, vol. 46(2), pages 371-384, April.
- Badescu, Alex & Elliott, Robert J. & Siu, Tak Kuen, 2009. "Esscher transforms and consumption-based models," Insurance: Mathematics and Economics, Elsevier, vol. 45(3), pages 337-347, December.
- Balbás, Alejandro & Balbás, Beatriz & Balbás, Raquel, 2010. "CAPM and APT-like models with risk measures," Open Access publications from Universidad Carlos III de Madrid info:hdl:10016/12945, Universidad Carlos III de Madrid.
- Furman, Edward & Zitikis, Ricardas, 2008. "Weighted risk capital allocations," Insurance: Mathematics and Economics, Elsevier, vol. 43(2), pages 263-269, October.
- Liew, Chuin Ching & Siu, Tak Kuen, 2010. "A hidden Markov regime-switching model for option valuation," Insurance: Mathematics and Economics, Elsevier, vol. 47(3), pages 374-384, December.
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- Lau, John W. & Siu, Tak Kuen, 2008. "On option pricing under a completely random measure via a generalized Esscher transform," Insurance: Mathematics and Economics, Elsevier, vol. 43(1), pages 99-107, August.
- Massimiliano Corradini & Andrea Gheno, 2008.
"Incomplete Financial Markets and Contingent Claim Pricing in a dual expected utility theory framework,"
Departmental Working Papers of Economics - University 'Roma Tre'
0085, Department of Economics - University Roma Tre.
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- Shang, Zhaoning & Goovaerts, Marc & Dhaene, Jan, 2011. "A recursive approach to mortality-linked derivative pricing," Insurance: Mathematics and Economics, Elsevier, vol. 49(2), pages 240-248, September.
- Li, Peng & Lim, Andrew E.B. & Shanthikumar, J. George, 2010. "Optimal risk transfer for agents with germs," Insurance: Mathematics and Economics, Elsevier, vol. 47(1), pages 1-12, August.
- Sordo, Miguel A. & Suárez-Llorens, Alfonso, 2011. "Stochastic comparisons of distorted variability measures," Insurance: Mathematics and Economics, Elsevier, vol. 49(1), pages 11-17, July.
- Labuschagne, Coenraad C.A. & Offwood, Theresa M., 2010. "A note on the connection between the Esscher-Girsanov transform and the Wang transform," Insurance: Mathematics and Economics, Elsevier, vol. 47(3), pages 385-390, December.
- Goovaerts, Marc J. & Kaas, Rob & Laeven, Roger J.A., 2010. "A note on additive risk measures in rank-dependent utility," Insurance: Mathematics and Economics, Elsevier, vol. 47(2), pages 187-189, October.
- Balbás, Alejandro & Balbás, Beatriz & Heras, Antonio, 2009. "Optimal reinsurance with general risk measures," Insurance: Mathematics and Economics, Elsevier, vol. 44(3), pages 374-384, June.
- Gzyl, Henryk & Mayoral, Silvia, 2008.
"Determination of risk pricing measures from market prices of risk,"
Insurance: Mathematics and Economics,
Elsevier, vol. 43(3), pages 437-443, December.
- Henryk Gzyl & Silvia Mayoral, . "Determination of Risk Pricing Measures from Market Prices of Risk," Faculty Working Papers 03/07, School of Economics and Business Administration, University of Navarra.
- Goovaerts, Marc J. & Kaas, Rob & Laeven, Roger J.A., 2010.
"Decision principles derived from risk measures,"
Insurance: Mathematics and Economics,
Elsevier, vol. 47(3), pages 294-302, December.
- Goovaerts, Marc & Kaas, R. & Laeven, R.J.A., 2010. "Decision principles derived from risk measures," Open Access publications from Katholieke Universiteit Leuven urn:hdl:123456789/278383, Katholieke Universiteit Leuven.
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