Combining retirement income and long-term disability protection is a well-established
concept in the literature. We present a new connection between the
lifetime annuity provided by a Reverse Mortgage and long-term care (LTC) insurance,
jointly managed in a unique bundled product. Indeed, we define the RM
(considered as a source of lifetime income) and LTC as two different regimes of a
jointly managed insurance product, which we call the "Life Care Reverse Mortgage”
(LCRM). From an actuarial perspective, we design the underlying structure of the
LCRM and the inherent framework for the ex-ante estimation of a time-dependent
profit/loss function, that provides a measure of the expected annual net cashflows
for a life insurer holding a portfolio of LCRMs. We perform a numerical application
to illustrate the regime-switching mechanism on which the proposed LCRM
insurance contracts are based and to quantify over time the lender’s return for a
pool of LCRM contracts through the designed time-dependent profit/loss function.
Furthermore, we analyse the sensitivity of the portfolio profit/loss function to two
sources of uncertainty: health patterns over time and house price dynamics.
