Abstract
The core objective of this work was to define significant determinants of corporate reinsurance utilisation in the life and non-life insurance industries in Pakistan based on the corporate demand for insurance theory, the bankruptcy cost argument, the agency cost theory, the risk-bearing hypothesis and the renting capital hypothesis. It also assessed which of these two insurance sectors has greater demand for reinsurance. Covering 33 insurance companies (6 life and 27 non-life insurance companies) over the period 2002–2012, the study outcomes show that some factors have a more significant impact on reinsurance purchases by insurance companies than others. Solvency risk, underwriting risk, firm performance, rate of interest and business mix are shown to be significant factors in defining the demand for reinsurance, but they influence reinsurance utilisation differently in the life and non-life branches. Only the variables firm size and inflation rate show similar results in both insurance branches in Pakistan, in contrast to the mixed outcomes generated by other variables of interest. The study further concluded that life insurance firms with high leverage levels lean more towards reinsurance purchases and solvency risk than non-life stock insurance firms operating in Pakistan.
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Notes
Shiu (2016).
Wehrhahn (2009).
Swiss Re (1999).
This study focuses on external reinsurance, in contrast to internal or coinsurance activity in Pakistan, due to the difficulty in unravelling external reinsurance from coinsurance activates. Insurance accounting laws in Pakistan do not require separate disclosure of such information in financial statements, and much of the reinsurance business in Pakistan is being underwritten by foreign reinsurers. For this reason, reinsurance data are considered as external reinsurance figures.
Ho (2016).
e.g. Borch (1968).
Mayers and Smith (1990).
Garven and Lamm-Tennant (2003).
Shiu (2011).
Modigliani and Miller (1958).
Titman and Wessels (1988).
Carson and Hoyt (1995).
Altuntas et al. (2015).
Bartram et al. (2009).
Graham and Rogers (2002).
Aunon-Nerin and Ehling (2008).
Dionne and Triki (2004).
Adams et al. (2008).
Cole and McCullough (2006).
MacMinn (1987).
Plantin (2006).
Zou and Adams (2008).
Cummins et al. (2008).
Krvavych and Sherris (2004).
Froot (2007).
Lee and Lee (2012).
Culp and O'Donnell (2009).
Liu et al. (2016).
Hoerger et al. (1990).
Shortridge and Avila (2004).
Powell and Sommer (2007).
Kader et al. (2010).
Chang and Tsai (2014).
Re (2002).
Baur et al. (2004).
Pitselis (2008).
Adams (1996).
Chen et al. (2001).
Malik (2011).
Al-Shami (2008).
Adiel (1996).
Cummins et al. (2012).
Lee and Lee (2011).
Frank and Goyal (2009).
Kozak (2011).
Grace and Hotchkiss (1995).
Browne and Hoyt (1995).
Wooldridge (2006).
Greene (2008).
A test for endogeneity suggested by Hausman (1978) was conducted to remove endogeneity in the models. The Durbin chi-square statistics and the p-value showed that the problem of endogeneity prevails because the p-values were statistically significant at the 5 per cent level in both the non-life and life insurance sector models, stating that the variable LEV in Equation (i) and (iii) and REINS in Equation (ii) and (iv) are endogenous variables.
Tests were done to check the validity of the instruments utilising STATA, where they were reported to be valid instruments in both models.
A 12-month KIBOR (Karachi Interbank Offered Rate) obtained from the State Bank of Pakistan (www.sbp.org.pk) was used for the rate of inflation. Because of the unavailability of the yearly KIBOR rates for the years 2002 and 2003, six-month average KIBOR rates were included in the study. Moreover, the consumer price index was used as a proxy for the inflation rates obtained from the data sources of the World Bank (www.worldbank.org).
The Breusch–Pagan test results generated from STATA of all four equations are provided in Appendices A and B.
The Hausman test results generated from STATA of all four equations are provided in Appendix A.
The GMM approach was first examined for the models, which generated insignificant results with downward-biased standard errors because of the unsuitability of the approach for small samples, as evidenced by Arellano and Bond (1991).
The endogeneity test results generated from STATA are provided in Appendix A.
Tests determining whether the instruments used were strong or weak are provided in Appendix A.
The results pertaining to the quadratic specifications are listed in Appendix B.
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Appendices
Appendix A
Serial no. | List of non-life insurance companies | |
---|---|---|
Name of insurance companies | Listed at Pakistan stock exchange | |
Public sector | ||
1 | National Insurance Company Limited | Listed |
2 | Pakistan Reinsurance (Pakistan Insurance Corporation Limited) | Listed |
Private sector | ||
3 | Adamjee Insurance Company Limited (General Insurance) | Listed |
4 | Alpha Insurance Company Limited | |
5 | Asia Insurance Company Limited | Listed |
6 | Askari General Insurance Company Limited | Listed |
7 | Atlas Insurance Limited (formerly Muslim Insurance Company Limited) | Listed |
8 | Capital Insurance Company Limited | |
9 | Central Insurance Company Limited (Cyan Limited) | |
10 | Century Insurance Company Limited | Listed |
11 | East West Insurance Company Limited | Listed |
12 | EFU General Insurance Limited | Listed |
13 | Habib Insurance Company Limited | Listed |
14 | International General Insurance Company Limited | Listed |
15 | New Jubilee Insurance Company Limited | Listed |
16 | PICIC Insurance Limited | Listed |
17 | Premier Insurance Company of Pakistan Limited | Listed |
18 | Reliance Insurance Company Limited | Listed |
19 | Saudi Pak Insurance Company Limited | |
20 | Security General Insurance | |
21 | Shaheen Insurance Company Limited | Listed |
22 | Silver Star Insurance Company Limited | Listed |
23 | The Cooperative Insurance Society of Pakistan Limited | |
24 | The Crescent Star Insurance Company Limited | Listed |
25 | The Pakistan General Insurance Company Limited | Listed |
26 | The United Insurance Company of Pakistan Limited | Listed |
27 | The Universal Insurance Company Limited | Listed |
Serial no. | List of life insurance companies | |
---|---|---|
Name of insurance companies | Listed at Pakistan stock exchange | |
Public sector | ||
1 | State Life Insurance Corporation of Pakistan | Listed |
Private sector | ||
2 | Adamjee Insurance Company Limited (Life Insurance) | Listed |
3 | American Life Insurance Company | |
4 | East West Life Assurance Company | Listed |
5 | EFU Life Assurance Limited | Listed |
6 | New Jubilee Life Insurance Company Limited | Listed |
For the non-life insurance sector
For the life insurance sector
Appendix B: Robustness and sensitivity test
Results for Equation (i)
Effects of leverage on reinsurance in the non-life insurance sector
Dependent variable = REINS | Two-stage least-squares regression coefficients | |
---|---|---|
Independent variables | Expected sign | |
LEVSq | + | −0.001*** |
(0.000) | ||
URW | + | 0.530*** |
(0.182) | ||
LnSIZE | − | −0.260 |
(1.899) | ||
GROW | + | 23.092 |
(32.214) | ||
EXP | + | −1.648*** |
(0.191) | ||
INT | − | −3.341 |
(2.644) | ||
INF | + | 4.138** |
(1.921) | ||
BMIXI | + | 0.836 |
(0.676) | ||
BMIXII | + | 0.470 |
(0.713) | ||
BMIXIII | + | 1.033* |
(.073) | ||
BMIXIV | + | 0.394 |
(0.719) | ||
L2.LEVSq | −0.000 | |
(0.000) | ||
Constant | 59.302 | |
R 2 | 0.302 |
Results for Equation (ii)
Effects of reinsurance on leverage in non-life insurance sector
Dependent variable = LEV | Two-stage least-squares regression coefficients | |
---|---|---|
Independent variables | Expected sign | |
REINSSq | + | −0.000*** |
(0.000) | ||
URW | + | 0.211* |
(0.142) | ||
LnSIZE | − | −0.606 |
(1.258) | ||
GROW | + | 2.518 |
(23.967) | ||
ROE | − | −0.178 |
(0.202) | ||
INT | − | −4.804*** |
(1.924) | ||
INF | + | 0.6544 |
(1.442) | ||
BMIXI | + | 0.177 |
(0.433) | ||
BMIXII | + | 0.543 |
(0.456) | ||
BMIXIII | + | 2.190*** |
(0.410) | ||
BMIXIV | + | 1.535*** |
(0.439) | ||
L1.REINSSq | −0.000 | |
(0.000) | ||
Constant | 4.441 | |
R 2 | 0.318 |
Results for Equation (iii)
Effects of leverage on reinsurance in life insurance sectors
Dependent variable = REINS | Two-stage least-squares regression coefficients | |
---|---|---|
Independent variables | Expected sign | |
LEVSq | + | 0.000* |
(0.000) | ||
URW | + | −9.071*** |
(0.191) | ||
LnSIZE | − | −0.511 |
(2.940) | ||
GROW | + | −170.478 |
(456.323) | ||
EXP | + | −0.043 |
(0.090) | ||
INT | − | 1.483 |
(1.383) | ||
INF | + | 0.583 |
(1.062) | ||
L2.LEVSq | 0.000 | |
(0.000) | ||
Constant | 15.312 | |
R 2 | 0.366 |
Results for Equation (iv)
Effects of reinsurance on leverage in life insurance sector
Dependent variable = LEV | Two-stage least-squares regression coefficients | |
---|---|---|
Independent variables | Expected sign | |
REINSSq | + | −0.098* |
(0.112) | ||
URW | + | 20.822* |
(14.457) | ||
LnSIZE | − | 467.737*** |
(234.200) | ||
GROW | + | 4471.767 |
(41573.100) | ||
ROE | − | −0.219 |
(10.186) | ||
INT | − | −104.272 |
(99.395) | ||
INF | + | 10.998 |
(77.216) | ||
L1.REINSSq | −0.165 | |
(0.113) | ||
Constant | −9640.230 | |
Adjusted R 2 | 0.029 |
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Sheikh, S., Syed, A.M. & Ali Shah, S.S. Corporate Reinsurance Utilisation and Capital Structure: Evidence from Pakistan Insurance Industry. Geneva Pap Risk Insur Issues Pract 43, 300–334 (2018). https://doi.org/10.1057/s41288-017-0063-2
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DOI: https://doi.org/10.1057/s41288-017-0063-2