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Associations of Demand for Private Long-Term Care Insurance, Willingness to Pay, and Precautionary
               Savings with Preferences for Long-Term Care Systems



               future levels of LTC expenditure; such measurements pertain to behaviors associated with
               the selection of a public LTC system. Moreover, to verify the role of self-choice financial
               preferences in the choice of a public LTC system, we test our research hypotheses by
               applying the theory of insurance economics to examine how individuals with self-choice

               financial preferences select a public LTC system that can meet their daily needs or raise
               the funds for LTC services. In addition, regarding reciprocal preferences and altruism
               for families’ LTC service needs, we address several research hypotheses to examine how

               individuals with different socioeconomic backgrounds select certain public LTC systems
                 needs,  we  address  several  research  hypotheses  to  examine  how  individuals  with
               to plan for the aforementioned matters. In summary, we consider individuals’ self-choice
                 different socioeconomic backgrounds select certain public LTC systems to plan for the
               financial preferences, reciprocal preferences, and altruism (as a global preference) to verify
                 aforementioned  matters.  In  summary,  we  consider  individuals’  self-choice  financial
                 preferences, reciprocal preferences, and altruism (as a global preference) to verify the
               the associations of these variables with the choice of a public LTC system; specifically,
                 associations of these variables with the choice of a public LTC system; specifically, to
               to develop rigorous explicit models for four hypotheses, we explore prosocial behaviors
                 develop rigorous explicit models for four hypotheses, we explore prosocial behaviors
               including a wide range of voluntary actions that are performed to help or benefit other
                 including a wide range of voluntary actions that are performed to help or benefit other
               individuals or groups.
                 individuals or groups.

                                              2. Methodology
                                                 2.  Methodology
                      We  adopt  a  quasi-experimental  design  and  conduct  a  nationwide  survey  in
                    We adopt a quasi-experimental design and conduct a nationwide survey in Taiwan
                 Taiwan between January and April 2019 to collect the empirical data. The total number
               between January and April 2019 to collect the empirical data. The total number of available
                 of available observations is 4,097. We estimate the effect of programs on the choice of
               observations is 4,097. We estimate the effect of programs on the choice of a public LTC
                 a public LTC system by simultaneously considering various global preferences (namely
               system by simultaneously considering various global preferences (namely three self-choice
                 three  self-choice  financial  preferences  and  a  reciprocal  preference  that  includes
               financial preferences and a reciprocal preference that includes altruism); specifically, we
                 altruism); specifically, we employ an ordered logistic model (OLM) to estimate the
               employ an Ordered Logistic Model (OLM) to estimate the logistic marginal effects of the
                 logistic marginal effects of the independent variables of interest on the choice of a
               independent variables of interest on the choice of a public LTC system. To fit the outcome
                 public LTC system. To fit the outcome variable with a 5-point Likert scale to create five
               variable with a 5-point Likert scale to create five categories, the OLM is used to set four
                 categories, the OLM is used to set four thresholds (i.e.,       ~α  ) to arrange choice
               thresholds (i.e., α ~α ) to arrange choice behavior (Pub_LTC) in a sequential order (i.e., 1,
                                                                          4
                                                                      �
                                  4
                               1
                 behavior (                          ) in a sequential order (i.e., 1, 2, …, 5); thus, we establish category
               2, …, 5); thus, we establish category 1 as the selection of a tax-funded LTC 2.0 system and
                 1 as the selection of a tax-funded LTC 2.0 system and category 5 as the selection of a
               category 5 as the selection of a mandatory public LTC insurance system. Our econometric
                 mandatory public LTC insurance system. Our econometric models are as follows:
               models are as follows:
                                                                      =1 if      <     ,
                                                            ∗
                                                            �
                                                                 �
                                                    �
                                                                    =2 if      <     <     ,
                                                               ∗
                                                 �       �    �     �
                                                                    =3 if      <     <     ,
                                                               ∗
                                                              �
                                                         �
                                                                    �
                                                 �
                                                                    =4 if      <     <     ,
                                                               ∗
                                                 �
                                                                    �
                                                         �
                                                              �
                                                     150
                                                                      =5 if      <     .
                                                                 ∗
                                                   �        �    �
                                                                      ∗
                                   ��     �              =    |    � = � = ��      <     ≤     �
                                         ��� ��         ��     ���    �    �
                                             �            −              j = 1,...,5 ,
                                                             �
                                  =            −            −            ���  ��
                                        �
                                             ��
                                                                   ����      ����
                                          denotes Logistic Function,               =       /1 +     
                           Moreover, the independent variables of interest comprise four types of preference
                 and can be sequentially arranged in econometric models. To verify whether reciprocal
                 preferences  and  altruism  influence  the  choice  of  a  public  LTC  system,  the  first
                 hypothesis  is  examined  through  Model  1;  specifically,  socioeconomic  factors  are
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