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Pricing The Revenue Insurance Of Sugar Apple And Banana In Taiwan: An Actuarial Approach

Author

Listed:
  • Yang, Min-Hsien
  • Lu, Richard
  • Lin, Matt
  • Yao, Nian-Zu

Abstract

This paper uses Fratini’s (2017) actuarial approach and the traditional risk neutral approach to price the revenue insurance under the framework of Black Scholes put option pricing. Then, we extend the pricing to include a coverage limit. Further, we also decompose the revenue into price and yield and develop another pricing formula using the price and yield information. The risk neutral approach assumes that the underlying revenue is tradable while the actuarial approach assumes the revenue risk is diversifiable. We compute the premiums of the revenue insurance of sugar apple and banana in Taiwan. The results show that the premiums of the actuarial approach are generally lower than the risk neutral approach. Because revenue is often non-tradable, thus, if the individual revenue risk can be fully diversified, then the actuarial approach should be suggested for premiums calculation.

Suggested Citation

  • Yang, Min-Hsien & Lu, Richard & Lin, Matt & Yao, Nian-Zu, 2021. "Pricing The Revenue Insurance Of Sugar Apple And Banana In Taiwan: An Actuarial Approach," International Journal of Food and Agricultural Economics (IJFAEC), Alanya Alaaddin Keykubat University, Department of Economics and Finance, vol. 9(2), April.
  • Handle: RePEc:ags:ijfaec:319735
    DOI: 10.22004/ag.econ.319735
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    References listed on IDEAS

    as
    1. Calum G. Turvey & Vincent Amanor-Boadu, 1989. "Evaluating Premiums for a Farm Income Insurance Policy," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 37(2), pages 233-247, July.
    2. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    3. Taehoon Kang & B. Wade Brorsen, 1995. "Valuing Target Price Support Programs with Average Option Pricing," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 77(1), pages 106-118.
    4. Cox, John C. & Ross, Stephen A., 1976. "The valuation of options for alternative stochastic processes," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 145-166.
    5. Calm G. Turvey, 1992. "An Economic Analysis of Alternative Farm Revenue Insurance Policies," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 40(3), pages 403-426, November.
    6. Calum G. Turvey, 1992. "Contingent Claim Pricing Models Implied by Agricultural Stabilization and Insurance Policies," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 40(2), pages 183-198, July.
    7. Jeffrey R. Stokes & William I. Nayda & Burton C. English, 1997. "The Pricing of Revenue Assurance," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 79(2), pages 439-451.
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