Existence of optimal consumption and portfolio rules with portfolio constraints and stochastic income, durability and habit formation

2000 ◽  
Vol 33 (2) ◽  
pp. 135-153
Author(s):  
Yunhong Yang
2019 ◽  
Vol 55 (7) ◽  
pp. 2334-2371
Author(s):  
Servaas van Bilsen ◽  
A. Lans Bovenberg ◽  
Roger J. A. Laeven

This paper explores the optimal consumption and investment behavior of an individual who derives utility from the ratio between his consumption and an endogenous habit. We obtain closed-form policies under general utility functionals and stochastic investment opportunities by developing a nontrivial linearization to the budget constraint. This enables us to explicitly characterize how habit formation affects the marginal propensity to consume and optimal stock–bond investments. We also show that in a setting that combines habit formation with Epstein–Zin utility, consumption no longer grows at unrealistically high rates at high ages and investments in risky assets decrease.


1997 ◽  
Vol 21 (2-3) ◽  
pp. 525-550 ◽  
Author(s):  
Ayman Hindy ◽  
Chi-fu Huang ◽  
Steven H. Zhu

2019 ◽  
Vol 80 ◽  
pp. 70-76
Author(s):  
Juan Dubra ◽  
Martín Egozcue ◽  
Luis Fuentes García

1992 ◽  
Vol 2 (4) ◽  
pp. 251-274 ◽  
Author(s):  
Jerome B. Detemple ◽  
Fernando Zapatero

2021 ◽  
Author(s):  
Bahman Angoshtari ◽  
Erhan Bayraktar ◽  
Virginia R. Young

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