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To borrow or insure? Long term care costs and the impact of housing

Adam W. Shao, Hua Chen and Michael Sherris

Insurance: Mathematics and Economics, 2019, vol. 85, issue C, 15-34

Abstract: We assess the impact of housing, the availability of reverse mortgages and long-term care (LTC) insurance on a retiree’s optimal portfolio choice and consumption decisions using a multi-period life cycle model that takes into consideration individual longevity risk, health shocks and house price risk. We determine how much an individual should borrow against their home equity and how much to insure health care costs with LTC insurance. We introduce an endogenous grid method, along with a regression based approach, to improve computational efficiency and avoid the curse of dimensionality. Our results confirm that borrowing against home equity provides higher consumption in earlier years and longevity insurance. LTC insurance transfers wealth from healthy states to disabled states, but reduces early consumption because of the payment of insurance premiums. Housing is an illiquid asset that is important in meeting bequest motives, and it reduces the demand for LTC insurance for the wealthy. We show that the highest welfare benefits come from combining a reverse mortgage with LTC insurance because of strong complementary effects between them. This result highlights the benefits of innovative products that bundle these two products together.

Keywords: Life-cycle model; Individual longevity risk; Long-term care insurance; Residential house; Reverse mortgage (search for similar items in EconPapers)
JEL-codes: G21 G22 I13 I31 J26 R31 (search for similar items in EconPapers)
Date: 2019
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Insurance: Mathematics and Economics is currently edited by R. Kaas, Hansjoerg Albrecher, M. J. Goovaerts and E. S. W. Shiu

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