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The instantaneous capital market line

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  • Lars Nielsen
  • Maria Vassalou

Abstract

We show that if the intercept and slope of the instantaneous capital market line are deterministic, then investors will not hold any hedge portfolios in the sense of Merton [9, 11]. They will choose portfolios that plot on the capital market line, and they will slide up and down the capital market line over time as their wealth and risk tolerance change. This result allows us to aggregate over investors and derive a single factor CAPM where the first and second moments of security returns may change stochastically over time and markets are potentially incomplete. Copyright Springer-Verlag Berlin/Heidelberg 2006

Suggested Citation

  • Lars Nielsen & Maria Vassalou, 2006. "The instantaneous capital market line," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(3), pages 651-664, August.
    • Handle: RePEc:spr:joecth:v:28:y:2006:i:3:p:651-664
    DOI: 10.1007/s00199-005-0638-1
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    Citations

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    Cited by:

    1. de Oliveira Souza, Thiago, 2016. "The size premium and intertemporal risk," Discussion Papers on Economics 3/2016, University of Southern Denmark, Department of Economics.
    2. Romain Deguest & Lionel Martellini & Vincent Milhau, 2018. "A Reinterpretation of the Optimal Demand for Risky Assets in Fund Separation Theorems," Management Science, INFORMS, vol. 64(9), pages 4333-4347, September.
    3. Munk, Claus, 2015. "Financial Asset Pricing Theory," OUP Catalogue, Oxford University Press, number 9780198716457.
    4. Maio, Paulo & Santa-Clara, Pedro, 2012. "Multifactor models and their consistency with the ICAPM," Journal of Financial Economics, Elsevier, vol. 106(3), pages 586-613.
    5. Anna Battauz & Marzia Donno & Alessandro Sbuelz, 2017. "Reaching nirvana with a defaultable asset?," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 40(1), pages 31-52, November.
    6. Munk, Claus, 2008. "Portfolio and consumption choice with stochastic investment opportunities and habit formation in preferences," Journal of Economic Dynamics and Control, Elsevier, vol. 32(11), pages 3560-3589, November.
    7. Christensen, Peter Ove & Larsen, Kasper & Munk, Claus, 2012. "Equilibrium in securities markets with heterogeneous investors and unspanned income risk," Journal of Economic Theory, Elsevier, vol. 147(3), pages 1035-1063.
    8. Larsen, Linda Sandris, 2010. "Optimal investment strategies in an international economy with stochastic interest rates," International Review of Economics & Finance, Elsevier, vol. 19(1), pages 145-165, January.
    9. Lioui, Abraham & Tarelli, Andrea, 2020. "Factor Investing for the Long Run," Journal of Economic Dynamics and Control, Elsevier, vol. 117(C).
    10. Larsen, Linda Sandris & Munk, Claus, 2012. "The costs of suboptimal dynamic asset allocation: General results and applications to interest rate risk, stock volatility risk, and growth/value tilts," Journal of Economic Dynamics and Control, Elsevier, vol. 36(2), pages 266-293.
    11. Kwon, Ji Ho & Sohn, Bumjean, 2024. "The ICAPM and empirical pricing factors: A simulation study," Finance Research Letters, Elsevier, vol. 60(C).
    12. Holger Kraft & Claus Munk, 2011. "Optimal Housing, Consumption, and Investment Decisions over the Life Cycle," Management Science, INFORMS, vol. 57(6), pages 1025-1041, June.
    13. Toru Igarashi, 2019. "An Analytic Market Condition for Mutual Fund Separation: Demand for the Non-Sharpe Ratio Maximizing Portfolio," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 26(2), pages 169-185, June.

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