Modeling investment guarantees in Japan: A risk-neutral GARCH approach
AbstractThe variable annuity market in Japan is still young, but growing rapidly. Most variable annuities in Japan are sold with one or more investment guarantees, such as a Guaranteed Minimum Maturity Benefit (GMMB), which guarantees that the ultimate annuity principal will not fall below a pre-set level regardless of the underlying investment performance. Of interest to financial institutions selling variable annuities is the cost associated with such a guarantee. Although the Black-Scholes option pricing formula can be applied readily, the resulting price might be inaccurate because returns on the Japanese stock price index do not seem to behave as assumed in the formula. In this study, we propose a method for valuing investment guarantees on the basis of a GARCH-type model, which better captures the characteristics of the stock price index. A difficulty in option-pricing with GARCH is the identification of a risk-neutral probability measure. We solve this problem by considering the conditional Esscher transform. Computational details of the proposed method are illustrated by valuing costs of two popular investment guarantees in Japan.
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Bibliographic InfoArticle provided by Elsevier in its journal International Review of Financial Analysis.
Volume (Year): 20 (2011)
Issue (Month): 1 (January)
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Web page: http://www.elsevier.com/locate/inca/620166
Esscher transform Investment guarantees Variable annuities;
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- Moshirian, Fariborz & Ng, David & Wu, Eliza, 2010. "Model specification and IPO performance: New insights from Asia," Research in International Business and Finance, Elsevier, vol. 24(1), pages 62-74, January.
- Angelidis, Timotheos & Andrikopoulos, Andreas, 2010.
"Idiosyncratic risk, returns and liquidity in the London Stock Exchange: A spillover approach,"
International Review of Financial Analysis,
Elsevier, vol. 19(3), pages 214-221, June.
- Andreas Andrikopoulos & Timotheos Angelidis, 2008. "Idiosyncratic risk, returns and liquidity in the London Stock Exchange: a spillover approach," Working Papers 0017, University of Peloponnese, Department of Economics.
- Jin-Chuan Duan, 1995. "The Garch Option Pricing Model," Mathematical Finance, Wiley Blackwell, vol. 5(1), pages 13-32.
- Jayasuriya, Shamila, 2005. "Stock market liberalization and volatility in the presence of favorable market characteristics and institutions," Emerging Markets Review, Elsevier, vol. 6(2), pages 170-191, June.
- Alagidede, Paul & Panagiotidis, Theodore, 2009.
"Modelling stock returns in Africa's emerging equity markets,"
International Review of Financial Analysis,
Elsevier, vol. 18(1-2), pages 1-11, March.
- Paul Alagidede & Theodore Panagiotidis, 2009. "Modelling stock returns in Africa’s emerging equity markets," Discussion Paper Series 2009_01, Department of Economics, University of Macedonia, revised Jan 2009.
- Alagidede, Paul & Panagiotidis, Theodore, 2009. "Modelling stock returns in Africa's emerging equity markets," Stirling Economics Discussion Papers 2009-04, University of Stirling, Division of Economics.
- Nikkinen, Jussi, 2003. "Normality tests of option-implied risk-neutral densities: evidence from the small Finnish market," International Review of Financial Analysis, Elsevier, vol. 12(2), pages 99-116.
- Nelson, Daniel B, 1991. "Conditional Heteroskedasticity in Asset Returns: A New Approach," Econometrica, Econometric Society, vol. 59(2), pages 347-70, March.
- Kasman, Adnan & Kasman, Saadet & Torun, Erdost, 2009. "Dual long memory property in returns and volatility: Evidence from the CEE countries' stock markets," Emerging Markets Review, Elsevier, vol. 10(2), pages 122-139, June.
- Inci, A. Can & Li, H.C. & McCarthy, Joseph, 2011. "Financial contagion: A local correlation analysis," Research in International Business and Finance, Elsevier, vol. 25(1), pages 11-25, January.
- Dao, Chi-Mai & Wolters, Jürgen, 2008. "Common stochastic volatility trends in international stock returns," International Review of Financial Analysis, Elsevier, vol. 17(3), pages 431-445, June.
- Mukherjee, Kedar nath & Mishra, Ram Kumar, 2010. "Stock market integration and volatility spillover: India and its major Asian counterparts," Research in International Business and Finance, Elsevier, vol. 24(2), pages 235-251, June.
- Baur, Dirk & Schulze, Niels, 2005. "Coexceedances in financial markets--a quantile regression analysis of contagion," Emerging Markets Review, Elsevier, vol. 6(1), pages 21-43, April.
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