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Bermudan option in Singapore Savings Bonds

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  • Kian Guan Lim

    (Singapore Management University)

Abstract

The Singapore Savings Bonds (SSB) is a unique investment program offered by the Singapore government whereby retail investors can earn risk-free tax-free step-up interest closely matched to Treasury bond rates for up to 10 years and can redeem on any business day prior to maturity without any early redemption penalty. This study analyses the unique design of the SSB and provides a valuation of the Bermudan option for early redemption that is embedded in the SSB. The Black–Derman–Toy model is used to build the interest rate tree, and an iterative method is employed to avoid arbitrary specification of the pre-determined short rate volatility function. This bespoke Bermudan option can have changing strike prices over time. It also has a novel characteristic whereby the value of exercise to a buyer need not equal to the cost of being exercised to a seller. Better understanding of embedded options within government savings bonds leads to innovative designs that may encourage effective citizens’ savings.

Suggested Citation

  • Kian Guan Lim, 2021. "Bermudan option in Singapore Savings Bonds," Review of Derivatives Research, Springer, vol. 24(1), pages 31-54, April.
    • Handle: RePEc:kap:revdev:v:24:y:2021:i:1:d:10.1007_s11147-020-09168-y
    DOI: 10.1007/s11147-020-09168-y
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    References listed on IDEAS

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    1. Xiao, Tim, 2011. "An Efficient Lattice Algorithm for the LIBOR Market Model," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 19(1), pages 25-40.
    2. Mark S. Joshi, 2007. "A Simple Derivation of and Improvements to Jamshidian's and Rogers' Upper Bound Methods for Bermudan Options," Applied Mathematical Finance, Taylor & Francis Journals, vol. 14(3), pages 197-205.
    3. Ho, Thomas S Y & Lee, Sang-bin, 1986. "Term Structure Movements and Pricing Interest Rate Contingent Claims," Journal of Finance, American Finance Association, vol. 41(5), pages 1011-1029, December.
    4. Chan, K C, et al, 1992. "An Empirical Comparison of Alternative Models of the Short-Term Interest Rate," Journal of Finance, American Finance Association, vol. 47(3), pages 1209-1227, July.
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    Cited by:

    1. Tian, Xueyu & Zhou, Yilun & Morris, Brianna & You, Fengqi, 2022. "Sustainable design of Cornell University campus energy systems toward climate neutrality and 100% renewables," Renewable and Sustainable Energy Reviews, Elsevier, vol. 161(C).

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    More about this item

    Keywords

    Bespoke Bermudan option; Singapore Savings Bonds; Iterative Black–Derman–Toy model; Spot rate model;
    All these keywords.

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages
    • G28 - Financial Economics - - Financial Institutions and Services - - - Government Policy and Regulation

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