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A Global Joint Pricing Model of Stocks and Bonds Based on the Quadratic Gaussian Approach

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  • Kentaro Kikuchi

    (Faculty of Economics, Shiga University)

Abstract

A Global Joint Pricing Model of Stocks and BondsBased on the Quadratic Gaussian Approach*Kentaro KikuchiAbstractThis work presents a joint model for bond prices, stock prices, and exchangerates within multi-currency economies. The model includes three types of la-tent factors: systematic factors that determine the domestic and foreign interestrates, stock-speci c factors, and currency-speci c factors. By incorporating thestochastic discount factor re ecting these three risk factors, we derive an analyt-ical formula for bond prices and stock prices, and exchange rates based on thequadratic Gaussian approach studied primarily in term structure modeling. Ourmodel has the distinctive feature of capturing market rates in a low interest rateenvironment. Furthermore, the model not only enables a simultaneous estimationof bond, equity and currency risk premiums but also provides a foundation forsolving an investment problem re ecting realistic market conditions.

Suggested Citation

  • Kentaro Kikuchi, "undated". "A Global Joint Pricing Model of Stocks and Bonds Based on the Quadratic Gaussian Approach," Discussion Papers CRR Discussion Paper Series B: Financial 18, Shiga University, Faculty of Economics,Center for Risk Research.
    • Handle: RePEc:shg:dpapeb:18
    as

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    File URL: https://www.econ.shiga-u.ac.jp/risk/DPB18Kikuchi.pdf
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    References listed on IDEAS

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    1. Leippold, Markus & Wu, Liuren, 2002. "Asset Pricing under the Quadratic Class," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 37(2), pages 271-295, June.
    2. Bakshi, Gurdip S. & Zhiwu, Chen, 1997. "An alternative valuation model for contingent claims," Journal of Financial Economics, Elsevier, vol. 44(1), pages 123-165, April.
    3. Dong-Hyun Ahn & Robert F. Dittmar, 2002. "Quadratic Term Structure Models: Theory and Evidence," The Review of Financial Studies, Society for Financial Studies, vol. 15(1), pages 243-288, March.
    4. Bakshi, Gurdip & Carr, Peter & Wu, Liuren, 2008. "Stochastic risk premiums, stochastic skewness in currency options, and stochastic discount factors in international economies," Journal of Financial Economics, Elsevier, vol. 87(1), pages 132-156, January.
    5. Qiang Dai & Kenneth J. Singleton, 2000. "Specification Analysis of Affine Term Structure Models," Journal of Finance, American Finance Association, vol. 55(5), pages 1943-1978, October.
    6. Kentaro Kikuchi, 2016. "Quadratic Gaussian Joint Pricing Model for Stocks and Bonds: Theory and Empirical Analysis," World Scientific Book Chapters, in: Masaaki Kijima & Yukio Muromachi & Takashi Shibata (ed.), RECENT ADVANCES IN FINANCIAL ENGINEERING 2014 Proceedings of the TMU Finance Workshop 2014, chapter 6, pages 107-131, World Scientific Publishing Co. Pte. Ltd..
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    Cited by:

    1. Bolorsuvd BATBOLD & Kentaro Kikuchi & Koji Kusuda, "undated". "A Semi-analytical Solution to Consumption and International Asset Allocation Problem," Discussion Papers CRR Discussion Paper Series B: Financial 17, Shiga University, Faculty of Economics,Center for Risk Research.

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    More about this item

    Keywords

    Stochastic discount factor; No arbitrage condition; Quadratic Gaus-sian term structure model; Algebraic Riccati equation;
    All these keywords.

    JEL classification:

    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • F31 - International Economics - - International Finance - - - Foreign Exchange
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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