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Modeling investment guarantees in Japan: A risk-neutral GARCH approach

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  • Ng, Andrew Cheuk-Yin
  • Li, Johnny Siu-Hang
  • Chan, Wai-Sum

Abstract

The 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.

Suggested Citation

  • Ng, Andrew Cheuk-Yin & Li, Johnny Siu-Hang & Chan, Wai-Sum, 2011. "Modeling investment guarantees in Japan: A risk-neutral GARCH approach," International Review of Financial Analysis, Elsevier, vol. 20(1), pages 20-26, January.
    • Handle: RePEc:eee:finana:v:20:y:2011:i:1:p:20-26
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    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July.
    9. Nelson, Daniel B, 1991. "Conditional Heteroskedasticity in Asset Returns: A New Approach," Econometrica, Econometric Society, vol. 59(2), pages 347-370, March.
    10. Mark Rubinstein, 1976. "The Valuation of Uncertain Income Streams and the Pricing of Options," Bell Journal of Economics, The RAND Corporation, vol. 7(2), pages 407-425, Autumn.
    11. 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.
    12. 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.
    13. Jin‐Chuan Duan, 1995. "The Garch Option Pricing Model," Mathematical Finance, Wiley Blackwell, vol. 5(1), pages 13-32, January.
    14. 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.
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    Cited by:

    1. Dong, Bing & Xu, Wei & Sevic, Aleksandar & Sevic, Zeljko, 2020. "Efficient willow tree method for variable annuities valuation and risk management☆," International Review of Financial Analysis, Elsevier, vol. 68(C).
    2. Nitu Sharma & S. Dharmaraja & Viswanathan Arunachalam, 2021. "A Time Series Framework for Pricing Guaranteed Lifelong Withdrawal Benefit," Computational Economics, Springer;Society for Computational Economics, vol. 58(4), pages 1225-1261, December.
    3. Fan, Kun & Shen, Yang & Siu, Tak Kuen & Wang, Rongming, 2015. "Pricing annuity guarantees under a double regime-switching model," Insurance: Mathematics and Economics, Elsevier, vol. 62(C), pages 62-78.

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