192
Views
0
CrossRef citations to date
0
Altmetric
Special Section: International Conference on Computational Finance (ICCF) 2019

Optimal consumption, investment, and life insurance purchase: a state-dependent utilities approach

&
Pages 185-203 | Received 27 Oct 2019, Accepted 07 Jun 2020, Published online: 03 Aug 2020

References

  • R. Cont and D.A. Fournié, Functional Itô calculus and stochastic integral representation of martingales, Ann. Probab. 41(1) (2013), pp. 109–133.
  • J.C. Cox and C.F. Huang, Optimal consumption and portfolio policies when asset prices follow a diffusion process, J. Econ. Theory. 49(1) (1989), pp. 33–83.
  • J.C. Cox and C.F. Huang, A variational problem arising in financial economics, J. Math. Econom. 20(5) (1991), pp. 465–487.
  • I. Duarte, D. Pinheiro, A.A. Pinto, and S.R. Pliska, An overview of optimal life insurance purchase, consumption and investment problems, in Dynamics, Games and Science I, Springer, Berlin, Heidelberg, 2011, pp. 271–286.
  • I. Duarte, D. Pinheiro, A.A. Pinto, and S.R. Pliska, Optimal life insurance purchase, consumption and investment on a financial market with multi-dimensional diffusive terms, Optimization 63(11) (2014), pp. 1737–1760.
  • C. Guambe and R. Kufakunesu, A note on optimal investment-consumption-insurance in a Lévy market, Insur. Math. Econom. 65 (2015), pp. 30–36.
  • H. Huang, M.A. Milevsky, and J. Wang, Portfolio choice and life insurance: The CRRA case, J. Risk Insur. 75(4) (2008), pp. 847–872.
  • J.C. Jackwerth, Recovering risk aversion from option prices and realized returns, Rev. Financ. Stud. 13(2) (2000), pp. 433–451.
  • I. Karatzas, S.E. Shreve, Methods of Mathematical Finance, Springer, 1998, 39.
  • I. Karatzas, S. Shreve, Brownian Motion and Stochastic Calculus, Springer, New York, 2012, 113.
  • I. Karatzas, J.P. Lehoczky, and S.E. Shreve, Optimal portfolio and consumption decisions for a ‘small investor’ on a finite horizon, SIAM J. Control Optim. 25(6) (1987), pp. 1557–1586.
  • M.T. Kronborg and M. Steffensen, Optimal consumption, investment and life insurance with surrender option guarantee, Scand. Actuar. J. 2015(1) (2015), pp. 59–87.
  • M. Kwak and B.H. Lim, Optimal portfolio selection with life insurance under inflation risk, J. Bank. Financ. 46 (2014), pp. 59–71.
  • J.A. Londoño, A more general valuation and arbitrage theory for Itô processes, Stoch. Anal. Appl. 26(4) (2008), pp. 809–831.
  • J.A. Londoño, State-dependent utility, J. Appl. Probab. 46(1) (2009), pp. 55–70.
  • R. Mehra and E.C. Prescott, The equity premium: A puzzle, J. Monet. Econ. 15(2) (1985), pp. 145–161.
  • R.C. Merton, Lifetime portfolio selection under uncertainty: The continuous-time case. Rev. Econ. Stat. 51 (1969), pp. 247–257.
  • R.C. Merton, Optimum consumption and portfolio rules in a continuous-time model, J. Econ. Theory. 3(4) (1971), pp. 373–413.
  • P.H. Nielsen and M. Steffensen, Optimal investment and life insurance strategies under minimum and maximum constraints, Insur. Math. Econom. 43(1) (2008), pp. 15–28.
  • T.A. Pirvu and H. Zhang, Optimal investment, consumption and life insurance under mean-reverting returns: The complete market solution, Insur. Math. Econ. 51(2) (2012), pp. 303–309.
  • S.R. Pliska, A stochastic calculus model of continuous trading: Optimal portfolios, Math. Oper. Res.11(2) (1986), pp. 371–382.
  • S.R. Pliska and J. Ye, Optimal life insurance purchase and consumption/investment under uncertain lifetime, J. Bank. Financ. 31(5) (2007), pp. 1307–1319.
  • S.F. Richard, Optimal consumption, portfolio and life insurance rules for an uncertain lived individual in a continuous time model, J. Financ. Econ. 2(2) (1975), pp. 187–203.
  • Y. Shen and J. Wei, Optimal investment-consumption-insurance with random parameters, Scand. Actuar. J. 2016(1) (2016), pp. 37–62.
  • P. Weil, The equity premium puzzle and the risk-free rate puzzle, J. Monet. Econ. 24(3) (1989), pp. 401–421.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.