2012
DOI: 10.2139/ssrn.1362399
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Health and (Other) Asset Holdings

Abstract: This note concerns a class of matrix Riccati equations associated with stochastic linear-quadratic optimal control problems with indefinite state and control weighting costs. A novel sufficient condition of solvability of such equations is derived, based on a monotonicity property of a newly defined set. Such a set is used to describe a family of solvable equations.

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Cited by 40 publications
(71 citation statements)
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“…Individual features of the model have appeared in the literature. For example, several papers allow health expenditure to respond endogenously to health shocks, but they do not model housing or portfolio choice (Picone et al, 1998; Hugonnier et al, 2013). Several papers study housing and portfolio choice during the working phase when households face labor-income risk, instead of retirement when they face health risk (Cocco, 2005; Hu, 2005; Yao and Zhang, 2005).…”
Section: Life-cycle Model Of Consumption and Portfolio Choice In Rmentioning
confidence: 99%
“…Individual features of the model have appeared in the literature. For example, several papers allow health expenditure to respond endogenously to health shocks, but they do not model housing or portfolio choice (Picone et al, 1998; Hugonnier et al, 2013). Several papers study housing and portfolio choice during the working phase when households face labor-income risk, instead of retirement when they face health risk (Cocco, 2005; Hu, 2005; Yao and Zhang, 2005).…”
Section: Life-cycle Model Of Consumption and Portfolio Choice In Rmentioning
confidence: 99%
“…On the other hand, the simultaneous determination of health and employment could result from common (unobserved) drivers of both 1 See Ozkan (2014), Fonseca et al (2009), Blau andGilleskie (2008), Pelgrin and St-Amour (2016), Cole et al (2012), Hai (2015), Halliday et al (2017), Hugonnier et al (2012), and Scholz and Seshadri (2016).…”
Section: Literaturementioning
confidence: 99%
“…See Galama, Hullegie, Meijer and Outcault (2012) for a first attempt at estimating a linearized equation derived from the more general (non-degenerate) version of the Grossman model. A more recent literature has solved and estimated dynamic formulations (sometimes loosely) based on health-capital theory using dynamic programming techniques, and taking into account a health investment process that is subject to decreasing returns to scale (e.g., Gilleskie, 1998;Ehrlich and Yin, 2005;Yogo, 2009;Khwaja, 2010;Scholz and Seshadri, 2012;Fonseca et al 2013;Hugonnier et al 2013). …”
Section: Toward a Theory Of Health Inequalitymentioning
confidence: 99%