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Pricing chained dynamic fund protection

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  • Han, Heejae
  • Jeon, Junkee
  • Kang, Myungjoo

Abstract

In this paper, we propose a new kind of dynamic fund protection (DFP). In contrast to the usual DFP, our newly developed DFP has two protection levels and protection is activated only when the value of underlying asset reaches upper protection levels. This kind of product has a structure similar to that of the chained barrier option proposed by Jun and Ku (2012). In this context, we name our newly designed equity-linked product as chained dynamic fund protection (CDFP). Buying CDFP can be advantageous for both vendors and investors compared to buy usual DFP. Relatively small downside risk for CDFP is beneficial for vendors. Also for investors, the price they cost for protection of CDFP is cheaper than that of usual DFP. Furthermore, investors can handle the price of protection by adjusting the level of upper protection as they desired. In this paper, we derive a closed-form formula for CDFP using reflection principle under Black–Scholes framework. Furthermore, we represent numerical results for values of CDFP according to various parameters.

Suggested Citation

  • Han, Heejae & Jeon, Junkee & Kang, Myungjoo, 2016. "Pricing chained dynamic fund protection," The North American Journal of Economics and Finance, Elsevier, vol. 37(C), pages 267-278.
    • Handle: RePEc:eee:ecofin:v:37:y:2016:i:c:p:267-278
    DOI: 10.1016/j.najef.2016.05.004
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    References listed on IDEAS

    as
    1. Lee, Hangsuck, 2003. "Pricing equity-indexed annuities with path-dependent options," Insurance: Mathematics and Economics, Elsevier, vol. 33(3), pages 677-690, December.
    2. Chu, Chi Chiu & Kwok, Yue Kuen, 2004. "Reset and withdrawal rights in dynamic fund protection," Insurance: Mathematics and Economics, Elsevier, vol. 34(2), pages 273-295, April.
    3. Ko, Bangwon & Shiu, Elias S.W. & Wei, Li, 2010. "Pricing maturity guarantee with dynamic withdrawal benefit," Insurance: Mathematics and Economics, Elsevier, vol. 47(2), pages 216-223, October.
    4. Hans Gerber & Elias Shiu, 2003. "Pricing Perpetual Fund Protection with Withdrawal Option," North American Actuarial Journal, Taylor & Francis Journals, vol. 7(2), pages 60-77.
    5. Hans Gerber & Gérard Pafumi, 2000. "Pricing Dynamic Investment Fund Protection," North American Actuarial Journal, Taylor & Francis Journals, vol. 4(2), pages 28-37.
    6. Hoi Ying Wong & Chun Man Chan, 2008. "Turbo warrants under stochastic volatility," Quantitative Finance, Taylor & Francis Journals, vol. 8(7), pages 739-751.
    7. Wong, Hoi Ying & Chan, Chun Man, 2007. "Lookback options and dynamic fund protection under multiscale stochastic volatility," Insurance: Mathematics and Economics, Elsevier, vol. 40(3), pages 357-385, May.
    8. Hans Gerber & Elias Shiu, 2003. "Pricing Lookback Options and Dynamic Guarantees," North American Actuarial Journal, Taylor & Francis Journals, vol. 7(1), pages 48-66.
    9. Junichi Imai & Phelim Boyle, 2001. "Dynamic Fund Protection," North American Actuarial Journal, Taylor & Francis Journals, vol. 5(3), pages 31-47.
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    Cited by:

    1. Kim, Geonwoo & Jeon, Junkee, 2018. "Closed-form solutions for valuing partial lookback options with random initiation," Finance Research Letters, Elsevier, vol. 24(C), pages 321-327.
    2. Zhang, Jiayi & Zhou, Ke, 2024. "Analytical valuation of vulnerable chained options," The North American Journal of Economics and Finance, Elsevier, vol. 70(C).

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