Abstract
Time-consistent equilibria are studied for intertemporal problems with general discount functions. An investment consumption model with life insurance is analyzed. Equilibrium strategies are derived for two classes of discount functions: time-distance discounting and heterogeneous discounting.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
A. de Paz, J. Marín-Solano, and J. Navas, “A consumption-investment problem with heterogeneous discounting”, Mathematical Social Sciences 63 (2013), 221–232.
A. de Paz, J. Marín-Solano, J. Navas, and O. Roch, “Consumption, investment and life insurance strategies with heterogeneous discounting”, Insurance: Mathematics and Economics 54 (2014), 66–75.
I. Ekeland, O. Mbodji, and T. Pirvu, “Time-consistent portfolio management”, SIAM Journal of Financial Mathematics 3 (2012), 1–32.
I. Ekeland and T. Pirvu, “Investment and consumption without commitment”, Mathematics and Financial Economics 2 (2008), 57–86.
L. Karp, “Non-constant discounting in continuous time”, Journal of Economic Theory 132 (2007), 557–568.
J. Marín-Solano, J. Navas, and O. Roch, “Non-constant discounting and consumption, portfolio and life insurance rules”, Economics Letters 119 (2013), 186–190.
S.R. Pliska and J. Ye, “Optimal life insurance purchase and consumption/investment under uncertain lifetime”, Journal of Banking and Finance 31 (2007), 1307–1319.
J. Yong, “Time-inconsistent optimal control problems and the equilibrium HJB equation”, Mathematical Control and Related Fields 2 (2012), 271–329.
Acknowledgements
This work has been partially supported by MEC (Spain) Grant ECO2013-48248-P.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
Marín-Solano, J. (2017). On Time-Consistent Portfolios with Time-Inconsistent Preferences. In: Díaz, J., Kirousis, L., Ortiz-Gracia, L., Serna, M. (eds) Extended Abstracts Summer 2015. Trends in Mathematics(), vol 6. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-51753-7_19
Download citation
DOI: https://doi.org/10.1007/978-3-319-51753-7_19
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-51752-0
Online ISBN: 978-3-319-51753-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)