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STS474 Gigih F. et al.
            values reported declined from -3.5% in 2008 to -33.1% in 2009 (MOF Press
            Release, 2012).
                Kawai and Takagi (2009) have shown that this occurred by the increasing
            of Japan’s export to gross domestic product (GDP) ratio and trade openness.
            Due to the declining of demand from US, then Japan had faced lower total
            export. This decline is also affected financial institutions’ core profitability from
            trade credit and financing as the regional capital is not kept up the increasing
            off risk asset (BOJ Financial System Report, 2008). Demirer et al. (2017) also
            show that the Japanese banks have strong connection globally impacted the
            spread volatility across bank stocks, especially with US banks.
                In  this  research,  we  conducted  further  investigation  for  the  impact  of
            Lehman’s shock towards US and Japan regional economic growth. By using
            this  approach,  we  got  a  detailed  illustration  of how  the  shock  transmitted
            within country.

            2.  Methodology
            2.1 Data and Target Variable
                We  used  the  real  gross  regional  product  (GRP)  based  on  production
            approach as the main dataset. The United States data were retrieved from
            regional statistics in Bureau Economic Analysis (BEA) and we apply quarterly
                                               nd
                        st
            data from 1  Quarter of 2005 until 2  Quarter of 2018 for 51 states (including
            District of Columbia). On the other hand, for Japan we use annually GRP data
            from Economic and Social Research Institute, Cabinet Office for 47 prefectures
            from 2001 until 2014.
                Based on Reinhart & Rogoff (2008) and Bank for International Settlement
                                              st
            (BIS) Report (2009) we select the 1  quarter of 2008 as the breakpoint in the
            US. On the other hand, following Filardo et al. (2009) and  Kawai & Takagi
            (2009), we select 2008 as the breakpoint for Japan regional data.

            2.2 Empirical Model
            2.2.1  Spatially-Independent Model
               Our focus in this research is to observe the behavior of regional economic
            growth fluctuation. This approach allowed us to identify before and after shock
            conditions and observed which area had a recovery. Therefore, we analyze the
            regional transitory, by observing the time-trend of regional economic growth
            before and after crisis by using ordinary least-square (OLS) regression (Greene,
            2012),


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               ln (   ,  ) ≡  , =   +    + ( +  )( >  ) +  , ,          , ∼  (0,  ) for  ≤ 
                                                                        
                                       
                                           
                   ,−1

                                                                    ∗ 2
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                                                          , ∼  (0,  ) for  >       (1)
                                                                    
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