Demand for Life Insurance—An Empirical Analysis in the Case of Poland
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Abstract
This paper presents the results of a study of the determination of life insurance demand in Poland. A characterisation of the Polish life insurance sector is given, including a comparison with the top ten emerging markets and other CEE countries such as Hungary and the Czech Republic. The characterisation is followed by a review of the previous studies of life insurance determinants. Subsequently, factor analysis is applied to distinguish independent factors that determine demand for life insurance. Then a linear regression model is used to identify both the factors that have determined life insurance in Poland and the extent thereof. However, as opposed to previous studies of life insurance demand, only distinguished factors are used as an independent variable. The study confirms that factors of an economic and financial nature strongly stimulate the demand for life insurance, which agrees with previous studies. However, some results contradict the previous findings such as the factor that includes variables such as education level and social benefits.
Keywords
life insurance demand factor analysis principal components method emerging marketsIntroduction
Life insurance demand is the subject of a number of research projects. Nevertheless, the majority of studies focus on types of determinants and the extent of determination on the level of insurance consumption. The studies use a set of variables. However, after careful analysis, we can conclude that the process of choosing variables is not effective enough. The variables are used rather more intuitively. In addition to that, researchers estimate previous models using data from different countries or various time periods. Furthermore, there is also a lack of research into the life insurance demand determinants with regard to Central and Eastern Europe (CEE). This part of the world has undergone a significant economic change over the course of the last decade. Presently, the financial sector in countries such as Poland plays a crucial role in the creation of overall macroeconomic development and capital flow in the region. The economic processes that Poland has witnessed in recent years have also affected the broad insurance sector. The social and economic transformations, the break-up of monopolies and growing competition have contributed to the development of business insurance. This, in turn, can be illustrated both by growing numbers of entities offering insurance products on the Polish market and by the increase in the written premium. During the transformation, the total life insurance market gross written premium rose by 36 per cent annually.
Despite such impressive growth, the Polish insurance sector still lags considerably behind western economies. While the Polish insurance market is generally believed to be in the growth stage, this market is of particular significance given the integration of Poland with the economic system of the European Union (EU). EU integration and the advancing globalisation of financial services create a need for ongoing monitoring and a revision of the current operating strategies, notably with regard to their financial aspect. The continuing development of the insurance sector is in the interest of insurance companies operating in Poland. Insurance companies should seek to optimise their financial performance and improve the flexibility of their insurance services so that they can contribute to improving the financial standing of insured businesses and households as well. This can be made possible by an ongoing search for factors that will improve the competitiveness of businesses and by raising the insurance awareness of the general public, which, undoubtedly, poses a great challenge. One of the success factors is acquiring the ability to combine the efforts of the management teams of insurance companies with research findings. However, one has to take into account the fact that dynamic expansion has generated strong market competition. Consequently, insurance companies should continuously look for new comprehensive solutions in order to maximise their profits. One of the main factors that has influenced their overall performance is consumption level. The higher the level of aggregated consumption, the better the insurance sector develops. A full understanding of demand behaviour is needed by managers to optimise the level of sales. From the scientific point of view, recognition of significant insurance demand features is also of utmost importance. As pointed out earlier, no studies concerning the demand for life insurance in CEE, especially in Poland, have been conducted thus far. Since Poland has developed one of the largest life insurance markets among all the CEE countries, we find it reasonable to use Poland as the basis for our research.
The main aim of this work is to present the results of the study on the determination of life insurance demand in Poland. The subject and the findings are equally very important from the business sector perspectives and from the point of view of insurance theory. At the beginning of the paper, a short characterisation of the Polish life insurance sector is presented, including a comparison with other world emerging markets and selected CEE countries, such as Hungary, Bulgaria, Romania, Ukraine and the Czech Republic. This outline is followed by a review of the previous studies of life insurance determinants. A successive empirical part is then provided. The research is based on the set of preliminary variables. Necessary variables have been identified after studying the literature on the subject. Then, the study applies factor analysis to a process of distinguishing the independent factors, which determine demand for life insurance. In the final part of the paper, a linear regression model is used. The model describes a relationship between life insurance demand and the distinguished factors. However, in the regression model, as opposed to a previous study of life insurance demand, only distinguished factors are used as an independent variable. The change of gross premium written represents a dependent variable. The paper ends with the conclusions presenting the results of the empirical exercises, followed by a comparison of the findings with the previous studies.
Characteristics of the Polish life insurance market
The Polish insurance market is still regarded as an emerging market. When we compare it with mature western European markets, such as Great Britain, we can assume that the Polish market is rather small. The total number of operating companies is 63, including life insurance and general insurance companies. However, during the last 19 years of development, the Polish insurance market has witnessed two ground-breaking events, which undoubtedly have had a significant impact on the market's shape and performance.
First, a new insurance act was implemented in July 1990, with the primary aim of allowing private and foreign investors to invest in the Polish insurance market. Since 1990, they have been able to open insurance companies. The market was dominated by two main State-owned insurance companies (PZU and Warta). July 1990 is considered the starting point in the process of creating the new free Polish insurance market.
The access of Poland to the EU, which took place in May 2004, was another ground-breaking event that ultimately opened up the Polish market. At present, according to the three main integration pillars included in the Treaty of Rome, European companies may open branches or subsidiaries in Poland without any permission or any licence from the Insurance Supervision Committee. Despite this, the market is still rather small, yet these two important events and the time of transition allow us to do the research.
Top ten emerging markets in life and non-life insurance
| Life insurance | 2010 premium volume (in million USD) | Share of emerging markets (%) | Non-life insurance | 2010 premium volume (in million USD) | Share of emerging markets (%) |
|---|---|---|---|---|---|
| China | 142,999 | 36.4 | China | 71,628 | 33.9 |
| India | 67,810 | 17.3 | Russia | 40,742 | 19.3 |
| Taiwan | 63,920 | 16.3 | Brazil | 30,847 | 14.6 |
| South Africa | 43,186 | 11.0 | Taiwan | 12,505 | 5.9 |
| Brazil | 33,246 | 8.5 | India | 10,565 | 5.0 |
| Poland | 8,977 | 2.3 | Mexico | 10,250 | 4.9 |
| Mexico | 8,945 | 2.3 | South Africa | 10,111 | 4.8 |
| Thailand | 8,313 | 2.1 | Poland | 8,786 | 4.2 |
| Malaysia | 7,910 | 2.0 | Venezuela | 7,851 | 3.7 |
| Indonesia | 7,202 | 1.8 | Turkey | 7,786 | 3.7 |
| Top 10 | 392,508 | 100.0 | Top 10 | 211,071 | 100.0 |
Evolution of the Polish life insurance market 2000–2010. Source: Based on data published by Swiss Re23 (www.swissre.com/sigma/).
Life insurance market in chosen CEE countries
| Country | Life premium volume (in million USD) | Share of total business in the country (%) | Share of world's market 2010 (%) | |
|---|---|---|---|---|
| 2010 | 2009 | |||
| Poland | 8,977 | 8,290 | 50.5 | 0.36 |
| Czech Republic | 3,694 | 3,160 | 46.7 | 0.15 |
| Hungary | 2,137 | 2,029 | 53.5 | 0.08 |
| Romania | 515 | 524 | 19.6 | 0.02 |
| Bulgaria | 138 | 142 | 12.0 | 0.01 |
| Ukraine | 102 | 106 | 4.1 | 0.00 |
| Total Europe | 965,661 | 953,418 | 59.6 | 38.32 |
The fact that the Polish market is still one of the largest markets among other emerging and post-communist countries also gives us a good reason for studying it. On the other hand, during the transition period, the Polish insurance market underwent significant changes. What changed most was ownership structure. For example, domestic capital made up 75 per cent of the entire subscribed capital in 1991. During the period of transition (to 2008), domestic capital decreased to only 23 per cent. This decrease in domestic capital level was gradual. Nevertheless, we can assume that the change is significant.
The market growth is quite remarkable especially when one considers changes in the life insurance sector, where the number of companies has increased sixfold over the course of the analysed period. The rapid growth in the life insurance world sector has probably contributed to these changes. According to the world's data, the life insurance industry has grown rapidly at approximately 30 per cent annually, while the non-life sector has grown at approximately 19 per cent.1 The life insurance sector has undergone fast development in Poland as well. Suffice to say, during the transition period, the gross written premium increased approximately 60-fold, whereas non-life insurance, in the same period of time, increased only ten times.2 Therefore, it is interesting to answer the question: What factors have determined life insurance development in Poland and to what extent? The research presented herein illustrates our attempt to answer this question.
It is also important to know that the development of the Polish life insurance market can be divided into four main stages, which result from historical events.
The first stage was the period of occupation by Russia, Prussia and Austria, ending in 1918. The second stage is a development stage, starting in 1918 and ending with the outbreak of World War II. It is followed by the third stage, which comprises the Communist era, when the insurance sector can be characterised as a centrally planned State monopoly. As mentioned, this period ended in 1990 when the new insurance act came into force.
In the Communist era, State-owned companies dominated the insurance market in Poland. In the life insurance sector, 98.43 per cent of gross written premiums came from group insurance organised by big State-owned companies. The gross written premiums from individual policies accounted for merely 1.57 per cent. The first wave of change came in 1984 when the Communist government amended the existing insurance act. The act allowed private companies to operate. However, the share of private capital could not exceed 49 per cent of total subscribed capital, which in practice let the State exercise full control over this area of economy.
Number of insurers during the transition period in Poland
| No. | Branch | Year | ||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1991 | 1992 | 1994 | 1995 | 1996 | 1997 | 1998 | 1999 | 2001 | 2002 | 2003 | 2004 | 2005 | 2007 | 2008 | ||
| 1. | Life | 5 | 6 | 10 | 13 | 15 | 21 | 24 | 31 | 35 | 36 | 37 | 36 | 32 | 32 | 30 |
| 2. | Non-life | 19 | 20 | 26 | 27 | 31 | 32 | 31 | 36 | 33 | 35 | 36 | 37 | 35 | 35 | 36 |
| 3. | Total | 24 | 26 | 36 | 40 | 46 | 53 | 55 | 67 | 68 | 71 | 73 | 74 | 67 | 67 | 66 |
Gross premium written structure according to type of insurance in 1991, 2005, 2006, 2007 and 2008. Source: Based on data published by the Polish Insurance Chamber (www.piu.org.pl).
The change in terms of subscribed capital of insurance companies (nominal value)
| No. | Branch | Year (thousands USD) a | Change (%) | |
|---|---|---|---|---|
| 1997 | 2008 | |||
| 1. | Life | 105,290 | 845,579 | 703 |
| 2. | Non-life | 191,641 | 920,776 | 380 |
| 3. | Total | 296,931 | 1,766,355 | 495 |
Changes in insurance industry ownership structures (share of foreign investments in subscribed capital). Source: Based on the data published by the Polish FSA.
The changes (year-by-year) of foreign capital in the life insurance sector (nominal value)
| Year | Capital value (USD) a | Change (%) |
|---|---|---|
| 1997 | 35,825,125 | — |
| 1998 | 64,641,199 | 80 |
| 1999 | 125,377,625 | 94 |
| 2000 | 208,343,647 | 66 |
| 2001 | 310,868,845 | 49 |
| 2002 | 391,821,403 | 26 |
| 2003 | 422,725,678 | 8 |
| 2004 | 508,119,489 | 20 |
| 2005 | 528,506,890 | 4 |
| 2006 | 682,530,250 | 29 |
| 2007 | 852,842,408 | 25 |
| 2008 | 651,645,190 | −24 |
Review of previous studies on life insurance demand
Studies on life insurance demand in chronological order
| Year of publication | Author/s | Journal | Title |
|---|---|---|---|
| 1967 | Hammond, Houston and Melander | JRI | Determinations of Household Life Insurance Premium Expenditures: An Empirical Investigation |
| 1968 | JRI | Demand for Life Insurance | |
| 1969 | Neuman | JRI | Inflation and Savings through the Life Insurance |
| 1969 | JRI | Expenditures for Life Insurance Among Working-Wife Families | |
| 1971 | JRI | Competition Among Life Insurance Products Lines: Determinants of Demand | |
| 1972 | JRI | Birth Order, Anxiety, Affiliation and the Purchase of Life Insurance | |
| 1973 | JRI | The Theory of Optimal Life Insurance: Development and Test | |
| 1974 | JRI | Life Insurance Demand and Household Portfolio Behaviour | |
| 1975 | JRI | Determinants of Young Marrieds’ Life Insurance Purchasing Behaviour: An Empirical Investigation | |
| 1980 | Diacon | GPRIIP | The Demand for U.K. Ordinary Life Insurance: 1946–1968 |
| 1980 | JRI | Acquisition and Accumulation of Life Insurance in Early Married Life | |
| 1981 | JRI | Inflation, Indexation, and Life Insurance Sales in Brazil | |
| 1984 | JRI | Examining Life Insurance Ownership Through Demographic and Psychographic Characteristics | |
| 1985 | JRI | The Price Elasticity of Demand for Whole Life Insurance | |
| 1985 | MLR | Age Related Reductions in Worker's Life Insurance | |
| 1986 | JRI | Higher Interest Rates, Longer Lifetimes, and the Demand for Life Annuities | |
| 1987 | JRI | The Effect of Social Security on Life Insurance Demand by Married Couples | |
| 1989 | Lewis | AER | Dependents and the Demand for Life Insurance |
| 1989 | JRI | The Demand for Life Insurance in Mexico and U.S.: A Comparative Study | |
| 1991 | JRI | How Strong Are Bequest Motives? Evidence Based on Estimates of the Demand for Life Insurance and Annuities | |
| 1993 | JRI | An International Analysis of Life Insurance Demand | |
| 1994 | JRI | The Effects of Household Characteristics on Demand for Insurance: A Tobit Analysis | |
| 1996 | Outreville | JRI | Insurance Markets in Developing Countries |
| 1996 | JRI | Gender Based Differences in Life Insurance Ownership | |
| 1998 | Guiso and Jappelli | GPRIT | Background Uncertainty and the Demand for Insurance Against Insurable Risks |
| 2000 | JRI | Liquidity, Estate Liquidation, Charitable Motives, and Life Insurance Demand by Retired Singles | |
| 2001 | JRI | Age, Period, and Cohort Effects on Life Insurance in the U.S. | |
| 2002 | GPRIIP | Law, Politics and Life Insurance Consumption in Asia | |
| 2003 | JMF | The Determinants of the Demand for Life Insurance in an Emerging Economy—The Case of China | |
| 2004 | AER | Insurance Consumption and Saving: A Dynamic Analysis in Continuous Time | |
| 2005 | RMIR | Stimulating the Demand for Insurance | |
| 2007 | JRI | Household Life Cycle Protection: Life Insurance Holdings, Financial Vulnerability, and Portfolio Implication | |
| 2007 | JRI | The Demand for Life Insurance in OECD Countries | |
| 2008 | JRI | Racial Differences in the Demand for Life Insurance | |
| 2008 | Chui and Cy Kwok | JIBS | National Culture and Life Insurance Consumption |
| 2008 | ** | An Analysis of Life Insurance Demand Determinants for Selected Asian Economies and India | |
| 2010 | JAER | The Determinants of Demand for Life Insurance in an Emerging Economy—India |
The authors used different techniques to assess the determination of life insurance demand. The majority of the studies were based on time-series data. For instance, the study by Manits and Farmer7 applies simple correlation analysis to determine independent variables. The variables, such as relative price index, personal income, population, marriages, births and employment, were selected after their coefficient of correlation with dependent variable reached 0.85. The authors resorted to manipulation when variables that they wanted to include in the analysis did not match the criteria. For instance, in the case of births and marriages, the prescribed way of choosing the features is rather simple. The methodology based on simple linear correlation could not eliminate the multi-collinearity problem, which can be proved by, for instance, Diacon8 who came to the conclusion that the autocorrelation and multi-collinearity effect makes the demand determination results difficult to describe. Therefore, there is still a risk that the chosen features could influence the level of life insurance demand in the same manner (carrying the same information).
Subsequent studies used more adequate techniques to choose independent variables. However, the multi-collinearity problem was not eliminated. The studies looked into factors such as interest rates, price of insurance, social security, education level and tax contribution and their influence on the amount of life insurance expenditures.
Specific factors were investigated by Neumann9 and Headen and Lee.10 For instance, Rejda et al.11 also proved that social security and tax incentives influenced the growth of group life insurance premium. Gutter and Hatcher12 demonstrated that the demand for life insurance was also determined by racial differences.
The dependency ratio is also a substantial factor of life insurance demand. The influence of the ratio was investigated in a number of studies. The vital role of the ratio is confirmed by the research by Hammond et al.5 who found that one of the main purposes of life insurance was to protect dependants against financial problems in the case of a wage-earner's premature death.13 These findings are in harmony with the results of Lewis's research. Furthermore, a strong relationship between the number of dependants and life insurance demand was confirmed by the study by Beenstock et al.14
There are a great number of variables examined in the analysis of life insurance demand. However, our investigation has led to a study that applies factor analysis in order to distinguish the variables. The proposed approach minimises the problem of multi-collinearity. Multi-collinearity occurs because two (or more) variables are related—they measure essentially the same thing. If one of the variables does not seem logically essential to the model, its removal may reduce or even eliminate multi-collinearity. The study of literature on the subject shows that all chosen variables were significant determinants of demand for life insurance. Therefore, eliminating variables is not our intention, which justifies the application of the factor analysis. The approach that assumes grouping the variables into the factors minimises the problem of multi-collinearity. In the previous studies, authors overlooked the fact that different variables can carry the same information. For instance, Gross Domestic Product (GDP) and inflation or per cent rate could influence life insurance demand in the same manner. If it is true, it is better to cumulate those variables in one independent factor and then check the direction and power of the determination.
Selected variables and their impact on the demand for life insurance
| # | Variables | Sign of determination | Non-significant feature | |
|---|---|---|---|---|
| Positive | Negative | |||
| Financial and economic variables | ||||
| 1. | Income | 13 | 1 | 1 |
| 2. | Household income | 1 | ||
| 3. | Net assets | 9 | 1 | 2 |
| 4. | Insurance price | 2 | ||
| 5. | Inflation and percent rate | 2 | 1 | 1 |
| 6. | Expected prices | 1 | 1 | |
| 7. | Social security | 2 | 3 | 1 |
| Personal and demographic variables | ||||
| 1. | Age | 3 | 4 | 6 |
| 8. | Level of education | 6 | 3 | |
| 11. | Dependency ratio | 6 | 2 | 1 |
| 12. | Sex | 1 | ||
| 13. | Marital status | 2 | 2 | |
| 16. | Population | 1 | ||
| 17. | Expected prices | 1 | ||
The results obtained by J.F. Outreville
| # | Variables | Linear model | Logarithmic model | ||
|---|---|---|---|---|---|
| Parameter | t-distribution | Parameter | t-distribution | ||
| 1. | GDP per capita | 0.0002 | 2.76 | 0.52 | 2.75 |
| 2. | Real Interest Rate | 0.0025 | 0.77 | −0.0027 | 0.81 |
| 3. | Anticipated Inflation | −0.84 | 1.92 | −0.93 | 2.14 |
| 4. | Life expectancy | 0.11 | 4.81 | 0.09 | 3.32 |
| 5. | Level of financial development | 0.01 | 1.48 | 0.02 | 1.73 |
| 6. | Monopolistic market | −2.51 | 6.06 | −2.28 | 5.44 |
| 7. | Foreign companies in the market | −0.16 | 0.45 | −0.13 | 0.36 |
| 8. | Intercept | −3.63 | −5.27 | ||
| 9. | R 2 | 0.85 | 0.85 | ||
Outreville used the appropriate relationship of monetary aggregates M1 and M2 as a variable representing the country's financial development. This indicator was calculated as the difference between the aggregate money M1 and M2 in relation to aggregate M2. Taking into account the definition of monetary aggregates M1 and M2, the indicator could be understood as fixed-term deposits in total money supply aggregate M2. This could be interpreted as the level of savings.
The most recent studies on the determinants of aggregate life insurance demand on a cross-section on developed economics were conducted by Li et al.,16 who analysed the demand determinants on the example of OECD countries. The primary conclusion confirms that income plays a key role in the process of determining life insurance demand. According to the authors, a 1 per cent increase in aggregate income could induce ca. 0.6 per cent increase in aggregate life insurance demand. The results of the study are also consistent with the dependants’ expected lifetime utility theory proposed by Lewis.17 In particular, the demand decreases in line with average life expectancy and increases with the changes of dependency ratio. All the socio-economic factors considered by the authors, such as education level, dependency ratio and social security expenditure, play an important role in the demand for life insurance.
Kakar and Shukla18 conducted a research on life insurance demand using the example of India as an emerging market. Their results also confirm previous conclusions, proving that socio-economic factors, such as income and education level, significantly influence demand.
Identification of the determinants of life insurance demand
Variables chosen for an investigation
| Symbol | Chosen variables |
|---|---|
| X 1 | Gross domestic product |
| X 2 | Percent rate |
| X 3 | Inflation |
| X 4 | Financial development |
| X 5 | Men's life expectancy |
| X 6 | Women's life expectancy |
| X 7 | Monopolistic market (number of competitors) |
| X 8 | Share of foreign companies in a market (share of foreign capital) |
| X 9 | Population |
| X 10 | Education level |
| X 11 | Health expenditures |
| X 12 | Social benefit |
| X 13 | Dependency ratio |
| X 14 | Rate of birth |
| X 15 | Unemployment rate |
| Y | Gross written premiums (represents life insurance demand) |
The data used for the analysis comes from the databases of the Statistical Office of Poland for the period 1991–2005. In the case of the variable named “Financial development”, the monetary aggregates M1 and M2 published by the Polish National Bank were used. The level of education represents the number of university graduates (postgraduate and undergraduate levels). The variable “Percent rate” represents the average rate (AER) of 12 months’ deposits in the Polish banking system. “Monopolistic market” represents the change in the number of life insurance companies (see Table 3). The “Share of foreign companies in the market” was calculated as a change in the share of foreign investments during the transition period. The changes are provided in Table 5. However, in order to estimate the changes used in the study, the nominal value of the investment, expressed in Polish currency, was used. Variables used in the study, such as birth rate and average life expectancy, describe the age of the population living in the country. The birth rate stands for the average annual number of births during a year per 1,000 persons in the population at mid-year, which is also referred to as crude birth rate. The birth rate is usually the main factor in determining the rate of population growth. It is influenced by both the level of fertility and the age structure of the population.
The values of GDP and the change during the analysed period
| Year | GDP (in million PLN) | Index (%) | Change (%) |
|---|---|---|---|
| 1990 | 60,672.57 | — | |
| 1991 | 82,432.99 | 135.87 | 35.87 |
| 1992 | 114,944.20 | 139.44 | 39.44 |
| 1993 | 155,780.00 | 135.53 | 35.53 |
| 1994 | 210,407.30 | 135.07 | 35.07 |
| 1995 | 337,221.90 | 160.27 | 60.27 |
| 1996 | 422,435.80 | 125.27 | 25.27 |
| 1997 | 515,353.80 | 122.00 | 22.00 |
| 1998 | 600,901.90 | 116.60 | 16.60 |
| 1999 | 666,308.30 | 110.88 | 10.88 |
| 2000 | 744,621.80 | 111.75 | 11.75 |
| 2001 | 779,204.70 | 104.64 | 4.64 |
| 2002 | 807,859.50 | 103.68 | 3.68 |
| 2003 | 842,120.40 | 104.24 | 4.24 |
| 2004 | 922,157.20 | 109.50 | 9.50 |
| 2005 | 980,883.70 | 106.37 | 6.37 |
Descriptive statistics
| No. | Variables | Mean (%) | Standard deviation (%) | Minimum (%) | Maximum (%) | Volatility ratio (%) |
|---|---|---|---|---|---|---|
| 1. | Gross domestic product | 121.41 | 16.76 | 103.68 | 160.27 | 56.59 |
| 2. | Percent rate | 19.08 | 14.84 | 3.17 | 50.30 | 47.13 |
| 3. | Inflation | 119.09 | 19.53 | 100.80 | 170.30 | 69.50 |
| 4. | Financial development | −57.44 | 9.12 | −81.03 | −51.54 | 29.49 |
| 5. | Life expectancy (men) | 100.42 | 0.47 | 99.40 | 101.32 | 1.92 |
| 6. | Life expectancy (women) | 101.23 | 3.19 | 98.53 | 112.39 | 13.86 |
| 7. | Monopolistic market | 116.72 | 22.93 | 91.43 | 180.00 | 80.57 |
| 8. | Share of foreign companies | 46.68 | 20.97 | 16.40 | 77.93 | 61.54 |
| 9. | Population | 99.97 | 0.30 | 98.97 | 100.28 | 1.32 |
| 10. | Education level | 0.45 | 0.34 | 0.00 | 1.00 | 1.00 |
| 11. | Health expenditures | 9.31 | 6.20 | 1.94 | 16.06 | 14.13 |
| 12. | Social benefits | 6.62 | 2.84 | 0.10 | 9.34 | 9.24 |
| 13. | Dependency ratio | 51.42 | 4.40 | 44.85 | 57.66 | 12.81 |
| 14. | Rate of birth | 0.10 | 0.13 | −0.04 | 0.37 | 0.41 |
| 15. | Unemployment rate | 15.21 | 2.98 | 10.30 | 20.00 | 9.70 |
Gross domestic product, inflation, share of foreign capital and monopolistic market were very volatile within the analysed period. As mentioned before, a monopolistic market is represented by a change in the number of companies. The volatility ratio for the variable reached the highest level of almost 81 per cent, which explains why the number of companies changed so significantly within the transition period.
The implementation of the factor analysis led to the reduction of the set of chosen variables (preliminary). The reduction of the set of variables achieved by applying and constructing aggregate factors is the main advantage of this study. The use of the factor analysis and the reduction of preliminary variables made it possible for us to minimise the problem of multi-collinearity. It is also noteworthy that the obtained factors have a relatively easy and distinct economic interpretation. Prior to factor analysis, the correlation coefficients between all chosen variables were calculated. The coefficients are presented in a table attached to the paper as Appendix. Higher values of the coefficients justify the application of factor analysis. The stronger the correlation between particular variables, the better the justification for application of the proposed methodology. The results show that there is a strong relation between the variables. There is also a strong correlation among particular variables and the dependent variable. The exceptions include variables X6 (women's life expectancy), X12 (social benefit) and X9 (population). Social benefits are relatively low in Poland. Table 11 shows that social benefits accounted for 6.62 per cent on average of total GDP in the discussed period. The lack of correlation in terms of population results from the fact that the level of population changed only slightly during the transition period. From the analysis of the data provided in Table 11, it can be concluded that the change was hardly visible. Nevertheless, we decided to keep the variables for further analyses. The variables X5 and X6 are usually highly correlated. However, the result of our study on Poland during the transition does not confirm this, which is probably due to the specific aspect of the country, where women's life expectancy has been increasing faster than men's. This provided a good reason for including those two variables separately.
The next step of the study was the application of the Bartlett test of sphericity. The test was used to confirm the severity of the results since the observations had been made on a random sample.
Communalities estimated
| Variable | Communalities |
|---|---|
| X1—GDP | 0.734 |
| X2—percent rate | 0.982 |
| X3—inflation | 0.972 |
| X4—financial development | 0.798 |
| X5—life expectancy (men) | 0.640 |
| X6—life expectancy (women) | 0.734 |
| X7—monopolistic market | 0.578 |
| X8—share of foreign capital | 0.963 |
| X9—urbanisation ratio | 0.749 |
| X10—education level | 0.878 |
| X11—share of health expenditures in GDP | 0.914 |
| X12—social benefits | 0.942 |
| X13—dependency ratio | 0.971 |
| X14—rate of birth | 0.954 |
| X15—unemployment rate | 0.644 |
High values of all communalities indicate that the random factors’ influence on the factor analysis model is slight.
Estimated eigenvalues
| Variable no. | Eigenvalue | Share in total volatility of set of variables | Cumulative share in total volatility of set of variables |
|---|---|---|---|
| 1 | 8.109 | 54.057 | 54.057 |
| 2 | 1.841 | 12.275 | 66.333 |
| 3 | 1.354 | 9.028 | 75.360 |
| 4 | 1.149 | 7.662 | 83.022 |
| 5 | 0.844 | 5.627 | 88.650 |
| 6 | 0.695 | 4.631 | 93.280 |
| 7 | 0.441 | 2.940 | 96.221 |
| 8 | 0.293 | 1.955 | 98.176 |
| 9 | 0.121 | 0.806 | 98.982 |
| 10 | 0.093 | 0.617 | 99.599 |
| 11 | 0.044 | 0.290 | 99.889 |
| 12 | 0.013 | 0.086 | 99.976 |
| 13 | 0.003 | 0.017 | 99.993 |
| 14 | 0.001 | 0.007 | 100.000 |
| 15 | −8.44E–017 | −5.63E–016 | 100.000 |
Factor loadings—first estimation
| Variables | Factor 1 | Factor 2 | Factor 3 | Factor 4 |
|---|---|---|---|---|
| X 1 | 0.849 | 0.024 | 0.081 | −0.081 |
| X 2 | 0.945 | −0.176 | 0.183 | 0.153 |
| X 3 | 0.911 | −0.305 | 0.192 | 0.104 |
| X 4 | −0.586 | 0.521 | −0.332 | −0.267 |
| X 5 | −0.054 | 0.549 | −0.189 | 0.548 |
| X 6 | −0.265 | 0.276 | 0.015 | 0.766 |
| X 7 | 0.443 | 0.603 | −0.038 | −0.129 |
| X 8 | −0.934 | −0.283 | 0.061 | 0.082 |
| X 9 | 0.700 | 0.489 | 0.135 | −0.036 |
| X 10 | −0.774 | 0.223 | 0.472 | −0.079 |
| X 11 | 0.917 | 0.090 | −0.237 | −0.091 |
| X 12 | −0.102 | 0.407 | 0.866 | −0.128 |
| X 13 | 0.979 | 0.081 | 0.070 | 0.037 |
| X 14 | 0.921 | −0.220 | 0.131 | 0.202 |
| X 15 | −0.656 | −0.326 | 0.238 | 0.227 |
Factor loadings after Varimax rotation
| Variables | Factor 1 | Factor 2 | Factor 3 | Factor 4 |
|---|---|---|---|---|
| X 1 | 0.611 | 0.576 | −0.055 | −0.161 |
| X 2 | 0.893 | 0.418 | −0.071 | −0.064 |
| X 3 | 0.913 | 0.320 | −0.096 | −0.162 |
| X 4 | −0.882 | 0.109 | 0.002 | 0.092 |
| X 5 | −0.161 | 0.217 | −0.034 | 0.752 |
| X 6 | −0.040 | −0.202 | 0.073 | 0.828 |
| X 7 | −0.011 | 0.744 | 0.109 | 0.111 |
| X 8 | −0.505 | −0.833 | 0.111 | 0.043 |
| X 9 | 0.323 | 0.777 | 0.175 | 0.098 |
| X 10 | −0.534 | −0.405 | 0.651 | 0.075 |
| X 11 | 0.516 | 0.722 | −0.335 | −0.121 |
| X 12 | −0.005 | 0.105 | 0.965 | 0.005 |
| X 13 | 0.719 | 0.668 | −0.080 | −0.045 |
| X 14 | 0.895 | 0.367 | −0.134 | −0.033 |
| X 15 | −0.167 | −0.753 | 0.195 | 0.107 |
Variables assigned to particular factors
| Factors | Variables |
|---|---|
| I | Gross Domestic Product (GDP) |
| Percent rate | |
| Inflation | |
| Financial development | |
| Dependency ratio | |
| Rate of birth | |
| II | Monopolistic market |
| Share of foreign companies | |
| Urbanisation ratio | |
| Share of health expenditures in GDP | |
| Unemployment rate | |
| III | Education level |
| Social benefits | |
| IV | Life expectancy (Men) |
| Life expectancy (Women) |
Empirical model—Regression analysis
Correlation coefficient between demand for life insurance (dependent variable) in period t+k and independent factors in period t
| Dependent variable lag (k) | Factors | |||
|---|---|---|---|---|
| F 1(t) | F 2(t) | F 3(t) | F 4(t) | |
| 0 | 0.458 | 0.269 | −0.156 | 0.238 |
| 1 | 0.828 | 0.118 | −0.339 | −0.364 |
| 2 | 0.783 | 0.253 | −0.344 | −0.366 |
| 3 | 0.771 | 0.033 | −0.324 | −0.157 |
| 4 | 0.920 | −0.376 | −0.033 | −0.064 |
| 5 | 0.952 | −0.724 | 0.011 | −0.022 |
| 6 | 0.902 | −0.811 | 0.241 | −0.196 |
However, likewise, the opposite effect on life insurance demand has a second factor. The factor becomes a significant non-stimulator for the demand after a third year of delay.
The third factor could be regarded as non-significant in determining life insurance demand. The determination is non-significant even if the delay is applied. The same situation applies in terms of factor four, which could be perceived as a non-significant stimulant when current time is applied. However, if the delay is considered the factor influence changes and non-significantly adversely affects the demand (Table 17).
Estimated regression equations of independent factors on the life insurance demand in the period t+k
| Demand for life insurance in period: (lag) | Estimated equation | R 2 | Adjusted-R 2 | P-value |
|---|---|---|---|---|
| 0 | Non-significant solution | — | — | — |
| 1 | Y=1.384+0.316F1−0.135F4 | 0.902 | 0.780 | <0.001 |
| 2 | Y=1.272+0.145F1+0.082F2 | 0.879 | 0.773 | 0.001 |
| Y*=1.278+0.141F1+0.073F2−0.45 F4 | 0.916 | 0.839 | 0.001 | |
| 3 | Y=1.26+0.111F1 | 0.771 | 0.595 | 0.003 |
| 4 | Y=1.233+0.127F1 | 0.920 | 0.846 | <0.001 |
| 5 | Y=1.214+0.121F1 | 0.952 | 0.906 | <0.001 |
| 6 | Y=1.183+0.092F1 | 0.902 | 0.813 | 0.001 |
The regression model was created using the previously extracted factors. The model is not built by using the preliminary variables, which, undoubtedly, is another advantage of our study.
Conclusions
The study facilitates a visible comparison between the demand for life insurance in emerging markets with the demand in more traditional industrialised markets. This work examines life insurance demand in Poland. The Polish life insurance market constitutes a small portion of global life insurance premium, but is still the largest life insurance market in the CEE countries. The main aim of the research is to create a set of relatively independent life insurance demand factors by merging preliminary variables (GDP, percent rate, inflation, financial development, men and women's life expectancy, market monopolisation, share of foreign capital, population, level of education, expenditures on health and social care, dependency ratio). The methodology brought us to create four main factors.
As has already been stated, the advantage of the study is the use of relatively independent factors that were created by merging preliminary variables. While analysing previously published articles on this topic, we did not find a similar approach. Therefore, it is difficult to make direct comparisons with other countries or regions in terms of the demand determination.
Taking into account the behaviour of the extracted factors, however, it could be confirmed that the factor of an economic and financial nature (factor 1) is the most important one. The first factor is obtained by merging variables such as GDP, percent rate, inflation, financial development, dependency ratio and birth rate. The factor significantly stimulates the demand for life insurance. The longer the delay period is, the stronger the determination. In this case, it is very similar to western countries, where the economic and financial features strongly stimulate the demand for life insurance.
The second factor is a similar case. While the first factor stimulates the demand for life insurance, the second affects it adversely. This factor is obtained by merging the following variables: monopolistic market, share of foreign companies, urbanisation ratio, share of health expenditure in GDP and unemployment rate. It is also quite interesting that the second factor, which could be regarded as a potential future social development, has a delayed negative impact on life insurance demand. The previous studies show that the variables included in the second factor affect the demand for life insurance.
Somewhat surprising is the result for the third factor. The third factor comprises variables such as education level and social benefits. The factor has a rather non-significant influence on the demand for life insurance. In most studies, the level of education strongly determines (stimulates) the demand for life insurance, especially in industrialised markets. Such a strong stimulation could not be determined definitely in the case of Poland. This may be caused by a still low level of social insurance messages (consciousness).
The fourth one (men and women's life expectancy) has a positive but rather non-significant impact on the demand. However, the impact changes to negative after one year's delay. This confirms the results of Outreville's study of other developing countries. The average life expectancy could be interpreted as the actuarial price of certain types of life insurance. The result contradicts the Mantis and Farmer survey conducted using the United States as the example. The survey has shown a positive relationship between demand and price.
The paper enriches the literature on the factors that have an impact on the demand for life insurance. Nowadays, the demand for life insurance in Poland seems to be determined more like in western European countries. However, the transition period was needed to change the behaviour (attitude) of Polish customers, which could be seen by applying lags to our study. The comparison of life insurance demand determinants in Poland with the situation in other CEE countries would be a good direction for further research in the field.
Footnotes
- 1.
1 Browne and Kim (1993).
- 2.
2 Calculation based on data published by the Polish FSA. A gross premium written for life insurance in 1991 was equal to PLN 208 m and in 2004 the premium was equal to PLN 12,735 m (as a nominal value).
- 3.
3 USD 1=PLN 2.9618 average exchange rate at the end of 2008 according to the National Polish Bank (www.nbp.pl).
- 4.
4 As a result of inflation in the early 1990s, the currency underwent redenomination. Thus, on 1 January 1995, 10,000 old zlotych (PLZ) became one new zloty (PLN).
- 5.
- 6.
6 Browne and Kim (1993).
- 7.
- 8.
- 9.
- 10.
- 11.
- 12.
- 13.
Browne and Kim (1993, p. 621).
- 14.
- 15.
- 16.
Li et al. (2007).
- 17.
- 18.
- 19.
Outreville (1996, p. 226).
- 20.
- 21.
- 22.
- 23.
Mantis and Farmer (1968).
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