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Pricing and hedging GDP-linked bonds in incomplete markets

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  • Consiglio, Andrea
  • Zenios, Stavros A.

Abstract

We model the super-replication of payoffs linked to a country’s GDP as a stochastic linear program on a discrete time and state-space scenario tree to price GDP-linked bonds. As a byproduct of the model we obtain a hedging portfolio. Using linear programming duality we compute also the risk premium. The model applies to coupon-indexed and principal-indexed bonds, and allows the analysis of bonds with different design parameters (coupon, target GDP growth rate, and maturity). We calibrate for UK and US instruments, and carry out sensitivity analysis of prices and risk premia to the risk factors and bond design parameters. We also compare coupon-indexed and principal-indexed bonds.

Suggested Citation

  • Consiglio, Andrea & Zenios, Stavros A., 2018. "Pricing and hedging GDP-linked bonds in incomplete markets," Journal of Economic Dynamics and Control, Elsevier, vol. 88(C), pages 137-155.
  • Handle: RePEc:eee:dyncon:v:88:y:2018:i:c:p:137-155
    DOI: 10.1016/j.jedc.2018.01.001
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    References listed on IDEAS

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    Cited by:

    1. Andrea Consiglio & Michele Tumminello & Stavros A. Zenios, 2018. "Pricing Sovereign Contingent Convertible Debt," Journal of Enterprising Culture (JEC), World Scientific Publishing Co. Pte. Ltd., vol. 21(08), pages 1-36, December.
    2. Jean-Marc Fournier & Jakob Lehr, 2018. "Issuing GDP-linked bonds: Supply and demand can match," OECD Economics Department Working Papers 1500, OECD Publishing.
    3. Nicolas Carnot & Stéphanie Pamies Sumner, 2017. "GDP-linked Bonds: Some Simulations on EU Countries," European Economy - Discussion Papers 2015 - 073, Directorate General Economic and Financial Affairs (DG ECFIN), European Commission.

    More about this item

    Keywords

    Contingent bonds; Debt restructuring; Asset pricing; Incomplete markets; Risk premium; Stochastic programming; Super-replication;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • E3 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles
    • E47 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Forecasting and Simulation: Models and Applications
    • E62 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Fiscal Policy
    • F34 - International Economics - - International Finance - - - International Lending and Debt Problems
    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages
    • G38 - Financial Economics - - Corporate Finance and Governance - - - Government Policy and Regulation
    • H63 - Public Economics - - National Budget, Deficit, and Debt - - - Debt; Debt Management; Sovereign Debt

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