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    The working papers are produced by the Bradford University School of Management and are to be circulated for

    discussion purposes only. Their contents should be considered to be preliminary. The papers are expected to be

    published in due course, in a revised form and should not be quoted without the authors permission.

    Working Paper SeriesCost Efficiency and Total Factor Productivity in the European LifeInsurance Industry: The Development of the German Life InsuranceIndustry Over the Years 1991-2002

    Stephanie HusselsDr Damian Ward

    Working Paper No 04/05

    February 2004

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    COST EFFICIENCY AND TOTAL FACTOR

    PRODUCTIVITY IN THE EUROPEAN LIFE

    INSURANCE INDUSTRY: THE DEVELOPMENT

    OF THE GERMAN LIFE INSURANCE

    INDUSTRY OVER THE YEARS 1991-2002

    Stephanie Hussels

    Dr Damian Ward

    Address for correspondence:

    University of Bradford School of Management

    Emm Lane

    Bradford, West-Yorkshire

    BD9 4JL

    UK

    Tel: +44 (0) 1274 233194Fax: +44 (0) 1274 234355;

    Email: [email protected] and

    [email protected]

    www.brad.ac.uk/acad/management/index.html

    ABSTRACT

    In 1994, the single European insurance market

    became a legal reality with the adoption of the

    Third Generation Insurance Directive, which

    deregulated the entire industry. To explore how

    the German life insurance industry has dealt with

    the changes brought about by the deregulation

    this paper estimates efficiency and productivity

    over the years 1991 and 2002 by adopting data

    envelopment analysis. Empirical evidence

    suggests that the Germany life insurance industry

    encounters an average growth in productivity of

    2.6 percent. Moreover, the decomposition of cost

    efficiency highlights that by insurance companies

    adopting the most eff icient available technology

    and choosing the cost-minimising combination of

    inputs, they can achieve the largest improvementsin cost efficiency. Finally, the Tobit model for

    censored data highlights that over the years 1995

    to 2002 the age, company size, organisational

    form, and the composition of the investment

    portfolio partly explain inter-company differences

    in efficiency.

    JEL: D24, G22

    Keywords: European Single Market, total factor

    productivity, efficiency, data envelopment

    analysis, Germany life insurance industry,

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    W O R KI N G P AP E R S E R IE S

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    1. INTRODUCTION

    Since the founding of the European Community in

    1957, the European Community has attempted to

    create an integrated economic market among its

    member states. Although the European

    Community initially hoped to create the single

    market rapidly, economic recessions and

    continuing protectionism among member states

    have impeded the progress towards European

    integration. In order to remove technical, fiscal,

    and physical barriers to allow free trade among

    the member states, a series of directives have

    been introduced to abolish these barriers and to

    establish a regulatory framework for achieving the

    Single European Market. As a result, the single

    insurance market became a legal reality in 1994

    with the adoption of the Third GenerationInsurance Directive, which has deregulated the

    European insurance industry.

    The creation of a single insurance market has

    changed the landscape of the entire industry and

    is expected to enhance market efficiency and

    productivity, change distribution channels, as well

    as the relationship between insurers and other

    financial service providers, increase cross-boarder

    activity, and increase consumer choice through

    greater competition. This is due to insurancecompanies new ability to operate freely

    throughout the community, either by establishing

    a distribution network in other member states or

    offering services across borders (Hogan, 1995).

    The impact of these developments are however

    likely to vary between the different European

    markets, as the European insurance industry

    formerly consisted of several separate markets

    with each market being based on different

    regulatory approaches which uniquely affected

    pricing, contractual provision, establishment of

    branches, and solvency standards in each country.The new environment is likely to put pressure on

    less efficient firms to improve their efficiency and

    productivity in order to survive the anticipated

    increased competition.

    In order to assess the financial consequences of

    the various changes and developments in the

    European life insurance industry, one might

    expect an extensive amount of papers on the

    relative efficiency and productivity. However, only

    Cummins and Rubio-Misas (2001) and Mahlbergand Url (2000) have analysed the effects of

    deregulation and consolidation by examining the

    entire, life and non-life, Spanish and German

    insurance industry, respectively1. Therefore, as an

    initial step in understanding how the European

    life insurance markets have coped with the

    creation of the European single insurance market,

    this paper examines cost efficiency and total

    factor productivity (TFP) in the German life

    insurance industry.

    The choice of the German life insurance industry

    is not ad hoc, but based on the enormous

    challenges and massive cultural changes the

    German life insurance companies had to face as a

    result of the changes in regulatory policy brought

    about by the deregulation of the industry

    (Grenham et al., 2000). The German life

    insurance market had to move from a maximal-

    regulation policy, which placed emphasis onmaintaining insurer solvency; and included control

    of insurance rates and policy conditions, to a

    lighter European regulatory approach (Rees and

    Kessner, 1998). The former regulatory scheme

    provided stability and transparency of the market,

    but at the cost of low levels of competition and

    limited product portfolios, as life insurance

    companies could only differentiate themselves by

    the quality of services, rather than the content or

    price of insurance products (Sigma, 1996,

    Ennsfellner and Dorfman, 1998). Moreover, whendiverging from the cost minimising or profit

    maximising strategies, German life insurance

    companies were enjoying the protection offered

    by national authorities.

    The purpose of this paper is to partially fill the

    gap in the existing literature by analysing the

    German life insurance industry over the twelve-

    year period of 1991 to 2002, which spans the

    implementation of the Third Generation Insurance

    Directive. It explicitly attempts to provide an

    initial understanding of how the German lifeinsurance industry has dealt with the changes

    brought about by the deregulation of the

    European life insurance industry in terms of

    relative efficiency and TFP, and outline potential

    reasons for the development. Moreover, key

    characteristics of insurance companies such as

    scale of operations, age, and organisational form,

    are introduced to test whether these have a

    significant effect on the estimated degree of

    efficiency. The study contributes to the European

    insurance efficiency literature by conducting amore extensive analysis of the German market

    using a twelve-year sample period and

    decomposing the cost efficiency measures into its

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    W O R KI N G P AP E R S E R IE S

    1 A detailed overview of the remaining efficiency studies covering the European insurance industry are given in the two survey

    papers by Cummins and Weiss (1999) and Berger and Humphrey (1997).

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    components. Additionally, in contrast to previous

    studies, which jointly analyse life and non-life

    markets, this paper concentrates solely on the life

    insurance industry, thereby avoiding the distortion

    of the efficiency estimates of each segment.

    To measure efficiency, the best practice

    production and cost frontiers are estimated for

    each year of the sample period using the non-

    parametric data envelopment analysis (DEA). This

    technique does not only allow an assessment of

    the cost efficiency of individual firms with regard

    a set of best practice firms in the industry, but

    also enables a decomposition of cost efficiency

    into its components, thereby giving a first

    indication of the reasons behind the changes in

    efficiency over time. The effects of the singleinsurance market on the German life insurance

    industry are however hidden in the annual

    efficiency scores, since they only represent a

    relative measure at a point in time. The simple

    measurement of efficiency development over time

    provides no information about the associated

    productivity changes. To measure productivity

    before and after the establishment of the single

    European insurance market in 1994, the DEA-

    based Malmquist index approach is adopted.

    Moreover, to partly explain inter-companyefficiency differences, the Tobit model for

    censored data is applied.

    The reminder of this paper is organised as follows.

    In section two, the frontier efficiency concept, as

    well as the associated DEA and the Malmquist

    methodologies, are described in detail. Section

    three outlines and discusses the sample, the input

    and output measures, and the choice of

    environmental variables. The empirical results are

    summarised and discussed in section four. The

    final section offers concluding remarks and makessuggestions for future research.

    2. METHODOLOGY

    2.1 Frontier efficiency concept

    The primary focus of research concerning the

    measurement of eff iciency and TFP is to establish

    a benchmark, which enables a comparison

    between companies performance. Traditionally,

    to estimate the degree of efficiency, researchers

    used conventional financial ratios such as the

    return on equity or return on assets, whichsummarised a firms performance in a single

    statistic. The departure from the traditional

    approach was achieved by Farrell (1957) who was

    largely inspired by the work of Debreu (1959) and

    Koopmans (1957), in defining a simple measure

    of a firms efficiency which could account for

    multiple inputs. For this purpose, Farrell (1957)

    introduced the concept of the efficiency frontier,

    measuring the efficiency of a firm relative to an

    empirical production frontier, which represents the

    technological limits of what a firm can achieve

    with a given level of inputs.

    Farrell (1957) introduced an efficiency measure

    that consists of two components, technical

    efficiency and allocative efficiency. Technical

    efficiency is defined as the ratio of the input

    usage of a fully efficient firm to the input usage

    of the firm under consideration producing the

    same output vector. Allocative efficiency reflectsthe ability of a firm to use the inputs in optimal

    proportions given their respective prices. The

    product of these two measures provides a

    measure of economic or overall efficiency2. These

    concepts are illustrated in Figure 1 with reference

    to a single output firm utilising two input factors.

    FIGURE 1: CONCEPT OF TECHNICAL AND

    ALLOCATIVE EFFICIENCY

    Figure 1 shows an isoquant QQ for a firm, which

    represents the various combinations of the twoinputs (x1, x2) required to produce a fixed amount

    of the single output by using state of the art

    production technology. Firms which are operating

    on the isoquant are therefore considered

    technically efficient. For illustrative purposes, the

    production technology is assumed to have

    constant returns to scale, which allows the

    technology to be represented using the unit

    isoquant. The approach can, however, be

    extended to accommodate multiple inputs and

    outputs and non-constant returns to scale.Moreover, the production technology can be

    computed assuming either an input oriented

    frontier, thereby addressing the question By how

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    W O R KI N G P AP E R S E R IE S

    2 The concept of economic and overall ef ficiency is often regarded as being identical to the meaning of X-eff iciency introduced by

    Leibenstein (1966).

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    much can input quantities be proportionally

    reduced without changing the output quantities

    produced? or by an output oriented model

    answering the question By how much can output

    quantities be proportionally expanded without

    altering the input quantities used?. As an input-

    oriented model is chosen for the analysis (see

    section 2.2), the efficiency concepts are outlined

    by assuming an input-orientation.

    The cost minimising aspect needed to illustrate

    allocative efficiency is incorporated in Figure 1

    through the isocost curve represented as a slope

    equal to w2/w1, with the vertical and horizontal

    intercepts C0/w2 and C0/w1. These intercepts

    correspond to the quantities of each input factor

    that could be purchased if all costs were spent onone input. One could specify more isocost curves,

    each corresponding to a different level of total

    costs, but each line would have the same slope.

    In Figure 1, the specific isocost line has been

    chosen which happens to be tangent to the

    isoquant QQ. A firm is referred to as fully cost

    efficient if it is operating at the point where the

    isoquant and the isocost line touch. Point D* =

    (x1D, x2

    D) in Figure 1 therefore represents a fully

    cost efficient firm with no technical or allocative

    inefficiencies.

    Inefficient firms by definition intersect an isocost

    line, which lies to the right of the tangent isocost

    line and hence involve a higher cost than C. A

    firm operating at, for example, point A = (x1A, x2

    A)

    therefore exhibits both technical and allocative

    inefficiency. It is not technically efficient because

    it is not operating on the best technology

    isoquant, which can be represented by A/B, and

    not allocatively efficient, because it is not using

    its inputs in the correct proportions. More

    specifically, firm A is using too much of input 2and too little of input 1, which is represented by

    the ratio C/B. Technical efficiency can be further

    decomposed into pure technical efficiency and

    scale efficiency. In order to illustrate and explain

    the two concepts, two production frontiers based

    on the single-input-output case are used.

    The Vc frontier represents a constant returns to

    scale frontier and Vv a variable return to scale

    frontier. A variable returns to scale frontier has

    regions that are characterised by increasing,decreasing, and constant returns to scale

    represented, by a rising, falling, and horizontal

    frontier shape, respectively. As it is socially and

    economically optimal for firms to operate at

    constant returns to scale, it is interesting to

    investigate what makes firms deviate from the Vc

    (Coelli et al., 1998). This can be achieved by

    separating technical efficiency into pure technical

    and scale efficiency. Pure technical efficiency

    represents the proportion by which a firm can

    reduce its input usage by adopting the best

    technology represented by the variable returns to

    scale frontier. Pure technical efficiency is

    measured relative to the variable returns to scale

    frontier and in the case of firm (xi, yi) pure

    technical inefficiency is therefore equal to B/C. A

    firm that is also operating on the variable returnsto scale frontier is however also scale inefficient,

    because it is not operating on the constant

    returns to scale frontier. In the case of firm (xi, yi),

    scale inefficiency is represented by the ratio A/B.

    However, the efficiency measures assume that the

    production and cost function of the fully efficient

    firm is known. In practice, these efficiency frontiers

    are however unknown and need to be estimated

    from observations. Two types of approaches have

    been developed in the past: the parametric and

    non-parametric approaches. These approaches

    differ in the assumptions they make regarding the

    shape of the efficient frontier and the treatment of

    the error term3. Despite intense research efforts,

    there is no consensus on the best approach for

    estimating efficiency frontiers in the literature, with

    some researchers arguing for the parametric and

    some for the non-parametric approaches. Berger

    and Humphrey (1997) report an approximately

    even split between the applications, of non-

    parametric (69 applications) and parametric

    techniques (60 applications), using financialinstitutions data. Since the true level of efficiency

    is unknown, it is therfore not possible to determine

    which of the two methods dominates the other.

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    W O R KI N G P AP E R S E R IE S

    FIGURE 2: CONCEPT OF PURE TECHNICAL AND

    SCALE EFFICIENCY

    3 A more detailed overview of the parametric and non-parametric techniques with regards to the insurance industry is presented

    in Cummins and Weiss (1999).

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    In this paper, the best practice production and

    cost frontiers for the German life insurance

    industry are estimated by applying the non-

    parametric DEA. The choice of DEA is due to four

    reasons. First, the parametric models necessitate

    a larger sample size to make reliable estimations

    than DEA, which is less data demanding. Second,

    DEA provides a very convenient method for

    decomposing cost efficiency into the efficiency

    components outlined before. Third, the DEA-

    based Malmquist approach has become the most

    frequent used methodology for estimating the

    evolution of productivity over time, thereby

    allowing the application of the same methodology

    throughout the whole paper. Fourth, as the

    existing studies that analysed the German

    insurance industry and the impact of insurancemarket deregulation have applied DEA, it will be

    beneficial to use DEA for comparative reasons. In

    the following subsections, the non-parametric

    DEA associated with the estimation of the frontier

    functions is outlined, before briefly describing the

    Malmquist methodology.

    2.2 Estimation methodology

    The approach to frontier estimation proposed by

    Farrell was not given much empirical attention

    until Charnes et al. (1978) introduced DEA, whichis the most frequently used implementation of the

    non-parametric deterministic frontiers. Since this

    seminal paper, numerous papers in the literature

    have extended and employed DEA4.

    In the context of DEA, the organisation under

    study is called the decision-making unit. A

    decision-making unit is regarded as an entity

    responsible for converting inputs into outputs

    whose performance is to be evaluated. DEA is a

    non-parametric approach, which applies

    mathematical programming to form the bestpractice frontier with the set of best practice

    input-output observations. The DEA efficient

    frontier is therefore composed of undominated

    firms and represents the convex combination of

    firms in the industry that dominate the others

    yielding in convex production possibility set.

    These firms are self-efficient because no

    combination of the other firms in the sample can

    produce their output vector by using a smaller

    amount of inputs. Decision-making units that lie

    on the frontier are therefore deemed self-efficientin DEA, whereas the firms that do not lie on the

    frontier are termed inefficient.

    Charnes et al. (1978, 1981, 1979) regard their

    efficiency frontier as an envelope developed from

    the observational data of all decision-making

    units. The envelope is often also referred to as a

    given firms reference set, and is therefore used to

    estimate the degree of efficiency of a specific firm

    in the sample by comparing the firm vis--vis

    other firms in the industry. The DEA efficiency

    score is hence not defined by an absolute

    standard but is defined relative to other decision-

    making units in the specific data set under

    consideration. If the reference set merely consists

    of the firm itself, it is considered self-efficient and

    has an efficiency score of 1.0. If the dominating

    set consists of other firms, the firms efficiency is

    less than 1.0. Efficiency estimates can again be

    decomposed into various elements as described insection 2.1.

    The original DEA approach by Charnes et al.

    (1978) assumed constant returns to scale. This

    assumption is however only appropriate when all

    decision-making units operate at an optimal scale.

    Factors such as imperfect competition or limited

    financial resources may cause decision-making

    units not to be operating at an optimal scale

    (Coelli et al., 1998). Consequently, the use of the

    constant returns to scale specification might resultin measures of technical efficiency which are

    confounded by scale efficiencies. Later studies

    have therefore considered alternative sets of

    assumptions, such as Banker et al. (1984), who

    first introduced the assumption of variable returns

    to scale. To avoid these potential drawbacks, the

    study applies DEA assuming both constant

    returns to scale and variable returns to scale.

    Furthermore, an input-oriented model is chosen,

    as the emphasis is on cost control. The variable

    linear programming model used can be defined

    as follows:

    (1)

    The value of represents the value of the

    efficiency score for the ith decision-making unit.

    is the vector of constants. The linear

    programming has to be solved N times, once for

    each decision-making unit in the sample. The

    convexity constraint (N1=1) ensures that aninefficient firm is only compared against firms of

    similar size, and therefore provides the basis for

    measuring economies of scale within the DEA

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    W O R KI N G P AP E R S E R IE S

    4 For a comprehensive bibliography of the existing studies following the seminal paper by Charnes et al. (1978) see Seiford

    (1990).

    minq,

    yi+Y0 x

    iX>0

    N1 - 1 0

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    concept. The convexity constraint determines how

    closely the production frontier envelops the

    observed input-output combinations and is not

    imposed in the constant returns to scale case.

    The variable returns to scale technique therefore

    forms a convex hull which envelops the data more

    tightly than the constant returns to scale, and

    thus provides efficiency scores that are greater

    than or equal to those obtained from the constant

    returns to scale model.

    Besides measuring cost efficiency, it is interesting

    to assess the evolution of TFP and efficiency over

    time in order to assess whether a change in

    efficiency has occurred before and after

    deregulation. The concept of TFP is very closely

    related to the concept of efficiency. TFP growth isdefined as the change in output due to technical

    change and technical efficiency change over time,

    whereby technical change is represented by a

    shift in the production frontier of period t and

    period t+1, whereas efficiency change is

    represented by the movement of a firm closer to

    or further from the present and past frontiers.

    Technical change and technical efficiency change

    cannot be measured accurately using trends in

    annual average efficiency scores because the

    average scores are based on separate frontiersestimated for each year of the sample period.

    The productivity indices that have been most

    frequently used in the literature are those by

    Fisher (1922), Toernqvist (1936), and Malmquist

    (1953). The benefit of the Fisher and Toernqvist

    indices is that they do not require the estimation

    of the technology of the insurance companies, but

    only require outputs, inputs, and the respective

    prices. The Malmquist productivity index, which

    requires the specification of the production

    frontier, does, however, allow the decompositioninto technical change and efficiency change.

    The Malmquist productivity index uses the idea of

    the distance function so that a preceding

    estimation of the corresponding frontier is

    required. The estimations are carried out using

    DEA, as it not only permits a consistent approach

    within the paper, but also uses the same

    methodology as the majority of existing papers

    (Cummins and Weiss, 1999). This paper makes

    use of an input-oriented Malmquist index becauseit provides the best measure for potential savings

    by cutting out the excessive use of inputs. The

    computations are conducted using Formula (2)

    below.

    (2)

    The Malmquist index represents the productivity

    of the production point (Xi,t,Yi,t) relative to the

    production point (Xi,t+1,Yi,t+1). Each measure takes

    any positive value, which is in contrast to the

    efficiency measures where each measure has a

    value less than or equal to 1.0. A value greater

    than 1.0 indicates an increase in TFP from period

    t to period t+1, whereas a value below 1.0

    represents a decline in TFP. The above outlinedMalmquist index is the geometric mean of two

    input-based Malmquist TFP indices to avoid an

    arbitrary choice of base years. The Malmquist

    productivity index can be decomposed into

    measures of technical efficiency change and

    technical change by factoring, as follows:

    (3)

    The first ratio in Formula (3) represents technical

    efficiency change, the relative distance from the

    input-output combination from the frontier in

    period t and t+1. Both the numerator and

    denominator of this ratio must be greater or equal

    to 1.0. Thus, if technical efficiency is higher in

    period t+1 than in period t, the value of this ratio

    is greater than 1.0, while if the efficiency declinesbetween the two periods, the value of the ratio will

    be smaller than 1.0. The second factor in Formula

    (3) is a geometric mean representing technical

    change between periods t and t+1. Values greater

    than 1.0 imply technical progress whereas values

    smaller than 1.0 imply technical regress. The

    second factor in brackets represents the distance

    between the period t and t+1 frontiers.

    To sum up, the paper estimates efficiency

    estimates and Malmquist productivity indices forthe German life insurance industry by using the

    non-parametric DEA. All DEA-based efficiency

    and productivity estimations are conducted with

    the software DEAP Version 2.1 developed by

    Coelli (1996).

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    W O R KI N G P AP E R S E R IE S

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    3. DATA AND CHOICE OF VARIABLES

    3.1 Data

    The production and cost functions are estimated

    using detailed annual accounting data of German

    life insurance companies over the period of 1991

    to 2002. The German data were collected

    manually from the respective annual company

    accounts. After eliminating inactive firms and

    firms where data were only available for part of

    the sample period, thirty-one life insurance

    companies, which together account for

    approximately 65 percent of total premiums, were

    randomly chosen among those firms that existed

    over the entire sample period. It is therefore

    possible that only the more efficient companies

    are included, as the others have ceased to exist

    due to mergers and acquisitions. This is likely tocause survivorship bias in the estimates, which

    needs to be acknowledged. To overcome the

    changes in the company accounts from 1994 to

    1995, the data have been made roughly

    comparable by adjusting the annual accounts

    before 1995.

    3.2 Output and input measures

    To estimate the best practice frontiers, input and

    output factors, as well as the respective prices,

    need to be identified

    5

    . Since insurance output ismostly intangible, it is necessary to find suitable

    approximations for the volume of services

    provided by insurers.

    Three principal approaches have been applied in

    the literature to measure outputs in the financial

    services sector, the asset or intermediation

    approach; the user-cost approach and the value-

    added approach. This paper adopts the value-

    added approach, as it has been proved to be the

    most appropriate method for studying insurance

    efficiency (Cummins and Weiss, 1999). The value-added approach identifies all those activities

    having some output characteristics that create

    significant value-added as judged by using

    operating cost allocations. Within the life

    insurance industry, these are primarily the risk

    bearing/risk pooling and intermediation services.

    Life insurers collect premiums and annuity

    considerations from customers and redistribute

    most of the funds to those policyholders who

    sustain losses, thereby offering risk pooling and

    risk bearing services to their customers. Moreover,life insurance companies collect funds in advance

    of paying benefits that are held in reserves until

    claims are paid. The process of working with the

    funds during the time lag is referred to as the

    intermediation service.

    In the literature, there has been a long-standing

    debate among researchers between using

    premiums or claims, sometimes referred to as

    benefit payments, to approximate the risk bearing

    and risk pooling service of life insurance

    companies. Net premiums written represent the

    values that free willing consumers attribute to the

    insurance service they are seeking, and therefore

    directly concern the technical activity of an

    insurance company. The insurance premium is the

    price which makes an individual just indifferent

    between retaining and insuring a risk. However,

    net premiums written do not reflect a firms

    financial activity. In other words, the ability toinvest the necessary reserves in an appropriate

    way hence does not measure the intermediation

    services of life insurance companies. Cummins et

    al. (1996, 1998, 1999) and Ward (2002)

    therefore state that a satisfactory approximation

    for the two main services offered by the insurance

    industry is incurred benefits plus addition to

    reserves. Incurred benefits, payments received by

    policyholders in the current year, are a good

    approximation for the risk-pooling and risk-

    bearing functions, as they measure the amount offunds pooled by insurers and redistributed as

    benefits. Additions to reserves represent the

    funds collected in advance of paying benefits and

    held in reserves until claims are paid, thereby

    approximating the intermediation service of

    insurance companies.

    Diacon et al. (2002) argue that it is difficult to

    understand why management would seek to

    maximise the value of insurance claims. Besides,

    the time lag in the payment of claims means that

    accounting entries for insurance losses accruedinvolve a substantial element of estimation and

    year on year adjustment. Funds that are not

    needed for benefit payments and expenses are

    added to the policyholders reserve. Additions to

    reserves are hence highly correlated with the

    intermediation output.

    The paper will follow the efficiency studies by

    Fecher et al. (1993), Rai (1996), Hardwick (1997)

    and Diacon et al. (2002) which use total net

    premiums written as their output measure toapproximate the risk-pooling and risk-bearing

    service to customers. Total premiums, premiums

    earned from all lines of the business including

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    W O R KI N G P AP E R S E R IE S

    5 The survey article by Berger and Humphrey (1997) provides a detailed discussion of the issues involved in choosing the inputs

    and outputs to be used to evaluate insurance companies performance.

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    both individual and group premiums, are included

    instead of premiums or claims per product line, as

    these could not yet be clearly identified for the

    entire sampling period. Furthermore, additions to

    reserves are used as an output variable to

    approximate the intermediation service of

    insurance companies.

    In contrast to the discussions associated with

    choosing the best approximation of insurance

    outputs, there seems to be a high degree of

    uniformity in the research community regarding

    the choice of input measures. Two input

    measures are included for estimating the frontier

    functions, namely labour and cost of capital,

    which is in line with the existing literature

    (Cummins and Weiss, 1999). To capture theeffects of labour and capital over the twelve years

    of the study, the annual average number of

    employees per company and the total

    shareholders equity at the end of each financial

    year are used. As in Hardwick (1997) and Ward

    (2002), the price of labour is measured by the

    average gross weekly earnings of workers in the

    insurance sector, as published by the German

    Statistischen Bundesamt. A measurement of the

    cost of capital is more complicated by the

    incidence of mutual organisations within theindustry. The price of cost of capital for each year

    is estimated by utilising the traditional capital

    asset pricing model6. In order to correct for

    inflation, total premiums, additions to reserves,

    and the average wage rates were deflated to

    1995 prices using the gross domestic product

    deflator for the particular years as issued by the

    Statistisches Bundesamt (2002). Moreover, all

    variables were converted into US$ for comparative

    reasons, using the exchange rate published by the

    International Monetary Fund (2003).

    Table 1 shows that the sample is characterised by

    huge differences in company size. These

    differences are significant if one considers that

    the majority of German firms in the sample tend

    to be positioned within the top twenty German

    life insurance companies according to premium

    income over the entire sampling period.

    3.3 Environmental variables

    In order to give further insight into the variation

    of efficiency scores among individual companies,

    a second-stage analysis is conducted, whereby theestimated efficiency scores from the DEA are

    taken as the independent variable and regressed

    against the environmental variables using a Tobit

    model. The outlined environmental variables do

    not form an exhaustive list, but merely serve as a

    starting point to identify inter-company efficiency

    differences within the German life insurance

    industry. Due to the changes in the accounts

    from 1994 to 1995 as a result of the deregulation

    of the European life insurance industry, the

    second stage analysis is only conducted for theeight-year time period 1995 to 2002.

    The German life insurance industry is characterised

    by differences in companies size. Meador et al.

    (2000) state that firms that serve a large

    percentage of the market tend to have market

    power and therefore tend to be more efficient.

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    W O R KI N G P AP E R S E R IE S

    6 The cost of capital was estimated by using the CAPM formula (k=rf +(rm-rf)). The risk free rate (rf) for each year was

    approximated by using short term government bonds as published by the International Monetary Fund (2003) and the market

    premium (rm) were measured by a benchmark market index. The beta, the measure of the systematic and non-diversifiable risk,

    was approximated for each year by taking the industry betas published in Kielholz (2000) and estimations by the authors.

    TABLE 1: DESCRIPTIVE STATISTICS OF OUTPUT AND INPUT VARIABLES OF THE GERMAN SAMPLE.

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    Moreover, it can be assumed that larger firms will

    be able to benefit from economies of scale in

    underwriting and investment. The scale of

    operations is expected to be positive related to

    efficiency, and larger companies are hence likely to

    encounter higher degrees of efficiency. On the

    other hand, Jensen and Meckling (1976) and

    Zahra and Pearce (1989) argue that as firms

    increase in scale and their operations become

    more complex, information asymmetries between

    the various contracting groups worsen.

    Opportunistic behaviour by managers is going to

    increase, which subsequently is likely to have a

    negative impact on the degree of efficiency. It will

    therefore be interesting to see whether the scale of

    operations partly explains inter-company efficiency

    variations. The sizes of the German life insurancefirms are estimated by taking the log of the total

    assets for each year of the sample period to reduce

    the correlation between inputs and outputs, and

    decrease the risk that the results may be

    confounded by extreme values in the data set.

    Life insurance companies exhibit a rich variation in

    their ownership structure including stock

    companies, and mutual companies. Both mutual

    and stock companies differ fundamentally in the

    way they combine the three key stakeholdergroups (managers, owners and customers) in an

    insurance company, thereby creating different

    incentives for the various contracting parties. The

    variations in costs for controlling the resulting

    incentive problems suggest that different

    organisational forms are likely to vary in terms of

    efficiency. Two leading hypotheses, the expense

    preference hypothesis (Mester, 1989), and the

    managerial discretion hypothesis (Mayers and

    Smith Jr., 1988), have been developed over the

    years. These non-mutually exclusive hypotheses

    are based on the agency theoretic observation thatthe mutual organisational form provides weaker

    mechanisms for owners to control managers than

    the stock organisational form. It will therefore be

    interesting to test whether there is a difference in

    terms of efficiency and productivity between stock

    and non-stock organisational forms. To test the

    impact of the choice of the organisational form on

    efficiency a dummy variable (0 and 1) is used to

    mark the type of organisational form with and

    without stock.

    Another variable that might have an impact on the

    efficiency of insurance companies is the age of the

    firm. Since there are high entry costs during the

    build-up phase of the risk pool, older companies are

    likely to face lower average costs. Older insurance

    companies might also be able to build on their

    expertise to improve efficiency and productivity.

    However, the age of companies could also have a

    negative impact, as age could hinder the

    introduction of new, less rigid organisational

    structures and innovative products, such as new

    distribution channels. The age of the respective life

    insurance companies in each year under

    consideration is estimated by considering the point

    of the initial entry in the trade register. Moreover,

    in order to test the potential link between total

    administrative, acquisition as well as the investment

    costs, on the degree of efficiency, the cost items are

    estimated as a percentage of total premiums.

    Investments are a crucial factor for the life

    insurance business, which is based on a promise

    and capital guarantees that future funds will be

    available in the case that some contractually

    specified event occurs where insurance losses

    might exceed premiums. Life insurance companies

    must disburse claims from insurance policies and

    associated business expenses with their own

    capital funds plus the funds from the insurance

    premiums. There are important time lags between

    the raising of capital, collection of premiums, andpayment of losses and expenses. Insurers use

    these time lags and invest both their investors

    capital and insurance premiums until claim and

    expense payments are required. However, the

    compositions of investment portfolios varies

    between life insurance companies. In order to test

    whether the composition of the investment

    portfolio has an impact on efficiency, six

    subcategories of investments as a per cent of total

    assets are analysed.

    4. EMPIRICAL RESULTS AND DISCUSSION

    4.1. Efficiency and productivity scores

    In order to assess the effects of deregulation on

    the German life insurance market, the empirical

    analysis starts by estimating the degree of cost

    efficiency for each of the twelve years of the

    sample period. The annual efficiency estimates

    are weighted by companies share of total

    shareholders equity to take into account the

    different company sizes when computing the

    industry efficiency levels7. In doing so, the

    efficiency scores of larger companies are given agreater weighting in the calculation of the

    industry average. The cost efficiency results are

    presented in Table 2.

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    W O R KI N G P AP E R S E R IE S

    7 Total premiums per company have also been used as a weighting measure but no significant difference could be found to using

    shareholders equity. Moreover, the calculations have been conducted with and without Allianz Life Insurance Company, which is

    the largest life insurance company in the German market.

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    The efficiency estimates reveal that over the

    twelve-year time period, cost efficiency under

    constant returns to scale is on average 35.6

    percent, implying that, on average, German life

    insurance companies are off the best practice

    frontier by 64.4 percent. In the case of the

    variable returns to scale production technology,

    an average cost efficiency of 56.0 percent can be

    observed, implying that firms are on average 44.0

    percent inefficient. The difference in the degreeof cost efficiency under both constant returns to

    scale and variable returns to scale is surprising, as

    the variable returns to scale technique forms a

    convex hull which envelops the data more tightly

    than the constant returns to scale, and thus

    provides efficiency scores that are greater than or

    equal to those obtained from the constant returns

    to scale model. So far, only Cummins and Rubio-

    Misas (2001) have computed cost efficiencies for

    European insurance firms when analysing the

    Spanish life and non-life insurance market. The

    average cost efficiencies levels in the Spanish

    insurance companies during the years 1989 to

    1998 are considerably lower, with an average

    degree of cost efficiency of 17.4 percent.

    When looking at the annual average cost

    efficiency estimates, no clear pattern in the

    development of cost efficiency over the twelve-

    year period can be observed. In 1991, constant

    returns to scale cost efficiency estimates are 30.8

    percent, whereas in 2002, cost efficiency

    estimates increase slightly to 32.6 percent. Thisdevelopment is not surprising, as it can be

    expected that the new environment should put

    increasing pressure on the German life insurance

    companies to improve their efficiency in order to

    survive the anticipated European competition.

    Due to the anticipated challenges and cultural

    changes the German life insurance companies had

    to face as a result of the changes in regulation,

    one could have expected more profound changes

    in cost efficiency over the twelve-year sample

    period. Moreover, it is interesting that cost

    efficiency drops during the years 2000 and 2001,

    which coincides with the strong slump of the

    worldwide stock markets in the same years.

    To provide a more detailed understanding of the

    cost efficiency estimates for the German life

    insurance industry, the technical, allocative and

    scale efficiency findings are outlined. These

    results are summarised in Tables 3 and 4.

    Under the assumption of constant returns to

    scale, the mean technical efficiency estimate is

    equal to 54.3 percent, whereas the variable

    returns to scale estimate is again much higher,

    with a degree of technical efficiency of 76.4

    percent. These results imply that German life

    insurance companies can produce their products

    and services, on average, with about 45.7 and

    23.6 percent less inputs if they operate on the

    best practice production frontier. In other words,

    the high degree of average technical inefficiency

    is attributable to the fact that some German life

    insurance companies do not seem to be using the

    most efficient technology available to transform

    the inputs into outputs.

    The estimated technical efficiency estimates are

    much higher than the ones found by Mahlberg

    and Url (2000) who provided a first attempt to

    assess the degree of technical efficiency in the

    German life and non-life insurance industry from

    1992 to 1996. They highlight that under variablereturns to scale, technical efficiency is

    approximately fifty percentage points, indicating

    that an enormous potential for cost cutting is

    evident in the German insurance industry.

    Moreover, the presented technical efficiency

    estimates shown are higher than the DEA

    estimates presented by Fecher et al. (1993) when

    analysing the French life insurance industry over

    the period 1984 to 1989. Depending on the

    output measures used in their analysis, Fecher et

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    W O R KI N G P AP E R S E R IE S

    TABLE 2: COST EFFICIENCY ESTIMATES FOR THE YEARS 1991 TO 2002 UNDER CRS AND VRS

    TABLE 3: TECHNICAL EFFICIENCY ESTIMATES FOR THE YEARS 1991 TO 2002 UNDER CRS AND VRS

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    al. (1993) show an average technical efficiency

    for the French non-life insurance industry of

    0.504 to 0.537. Cummins and Rubio-Misas

    (2001), furthermore, estimate an average

    technical efficiency in the Spanish life and non-

    life insurance industry between 1989 and 1998

    of 53.6 percent.

    A direct comparison of the efficiency results may

    however be misleading, due to three reasons.

    First, the studies do not merely analyse the life

    insurance segment of the respective markets but

    combine life and non-life observations. As both

    segments are likely to have different best practice

    frontiers, due to the differences in products and

    services offered, a misrepresentation of the

    individual efficiency results may occur. Second, inthe different European insurance markets,

    insurance outputs may consist of different services

    or of similar services provided in different

    proportions. Third, insurers in one sample could

    be using a technology that dominates the

    technology used by firms in another sample. It is

    hence not surprising that the technical efficiency

    results are not all within the ranges found by

    previous researchers.

    In accordance with the study by Mahlberg (1999),

    who analysed the technical efficiency in the

    German insurance market over the time period of

    1992 to 1996, it becomes evident that the

    technical efficiency tends to slightly decrease over

    the twelve year time period, with variable returns

    to scale technical efficiency ranging between

    0.821 in 1991 and 0.753 in 2002. The variable

    returns to scale technical efficiency show a strong

    improvement in 2002, with an overall degree of

    technical efficiency of 59.8 percent. German life

    insurance companies nevertheless still have

    considerable scope to improve their ability toproduce the maximum output possible from the

    inputs they employ.

    The average constant returns to scale-based

    allocative efficiency estimate is equal to 61.9

    percent, and the average variable returns to scale-

    based allocative efficiency is equal to 69.1

    percent, suggesting that German life insurance

    companies are on average not doing their best job

    in choosing the cost-minimising combination of

    inputs. This phenomenon might be due be to the

    fact that the German life insurance industry has

    been sheltered from competition for a long time,

    due to the tight former regulatory approach, and

    has still maintained a pre-1994 business

    perspective. This is reinforced by the only slight

    improvement in the annual allocative efficiency

    estimates since 1991. In line with these results,

    Cummins and Rubio-Misas (2001) highlight a low

    degree of allocative efficiency during the years

    1989 and 1998 in the Spanish insurance industry,

    which was formerly also characterised by having a

    tight regulatory approach. The low allocativeefficiency scores may be due to insurance

    companies inability to adjust to the new

    environment or high non-recurring costs in order

    to adjust to the deregulation of the European

    insurance industry.

    Given the industry-wide phenomenon in the

    European insurance industry of mergers and

    acquisitions, it is interesting to examine whether

    German life insurance companies can improve

    their efficiency by increasing their size. The DEA

    results show that the German life insurance

    companies are not operating at an optimal scale,

    with an average scale efficiency of merely 71.3

    percent. This implies that German life insurance

    companies are able to improve their efficiency on

    average by nearly 30 percent by adjusting to an

    optimal size.

    Additionally, DEA allows assessing whether a firm

    lies in the range of increasing, constant, and

    decreasing returns to scale. If a market contains

    firms operating with increasing and decreasingreturns to scale, market efficiency can be

    increased if more firms attain constant returns to

    scale, because fewer resources are wasted due to

    firms being either too small or too large. The

    measurement of economies of scale therefore also

    helps to assess at the same time whether further

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    W O R KI N G P AP E R S E R IE S

    TABLE 4: ALLOCATIVE AND SCALE EFFICIENCY ESTIMATES FOR THE YEARS 1991 TO 2002

    UNDER CRS AND VRS

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    consolidation, and hence higher market

    concentration, should be encouraged to improve

    efficiency. In the following Table 5, the number

    of German life insurance companies in each group

    is presented.

    The results show that on average 20 out of the 31

    companies within the sample encounterdecreasing returns to scale, highlighting that the

    majority of the firms in the sample are too big,

    whereas, on average, only four companies

    encounter constant and seven increasing returns

    to scale. This phenomenon might be partially due

    to the fact that the sample includes the majority

    of the top twenty German life insurance

    companies according to premiums. Fields (1988),

    moreover, states that insurance markets might not

    have taken advantage of the available cost

    savings due to absent price transparency plus alack of policy conditions and premiums on the

    part of the consumers, which in turn have allowed

    scale inefficient firms to survive. The scale

    efficiency estimates therefore clearly indicate that

    further mergers and acquisitions with their usual

    subsequent increase in company size are not likely

    to improve overall efficiency. Moreover, policy

    makers who are concerned with the efficient

    regulation of the industry should take this into

    account that by fostering mergers and

    acquisitions they will not be able to improveefficiency and withhold the competitive pressures

    of other European life insurance companies.

    To provide a more detailed picture of the financial

    consequences of the European single insurance

    market on the German life insurance industry,

    Malmquist indices are estimated. Table 6shows

    the Malmquist productivity indices and the

    decomposition into indices of technical efficiency

    change and technical change over the sample

    period. Unlike the efficiency estimates outlinedbefore, which are based on the frontier of an

    indicated year, the Malmquist indices and its

    components compare changes across two years.

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    W O R KI N G P AP E R S E R IE S

    TABLE 5: NUMBER OF INCREASING, CONSTANT, AND DECREASING RETURNS TO SCALE DURING THE

    YEARS 1991-2002

    TABLE 6: TFP DEVELOPMENT IN THE GERMAN LIFE INSURANCE INDUSTRY FROM 1991-2001

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    The Malmquist indices highlight improvements in

    productivity in seven out of eleven two-year

    comparisons and productivity regress in merely four

    out of eleven years. The Malmquist estimates show

    that during the time period, German life insurance

    companies experienced an average overall TFP

    increase of 2.6 percent. During the same time

    period the average annual growth rate of the

    German gross domestic product was merely 1.5

    percent, emphasising the extent of the average TFP

    rate of the German life insurance industry (The

    World Bank Group, 2002). Most of this increase in

    productivity over the sampling period is

    attributable to technical change, with an average

    technical improvement of 2.2 percent. Moreover,

    the technical change results show technological

    improvements in six out of eleven two-yearcomparisons, with the most pronounced

    improvement between the years 1993 to 1995.

    Furthermore, the estimates show that stock

    companies in the sample encountered on average

    slightly higher TFP estimates over the entire sample

    period than non-stock companies, with an average

    TFP score of 3.0 and 2.0 percent, respectively.

    Furthermore, the Malmquist computations

    indicate that Germany experienced exceptional

    high TFP growth rates between the years 1991 to1993 which is line with Mahlberg and Url (2000).

    These high TFP figures are likely to be the result

    of the reunification of the two former German

    states. In the former DDR planned-economy, only

    two government-owned insurance companies, the

    Staatliche Versicherung der DDR and Auslands

    und Rueckversicherungs AG der Deutschen

    Demokratischen Republik existed, which offered a

    limited product portfolio (Klein, 1991). Private

    health and life insurance products were not

    offered to the general public in the former DDR.

    The unification of the two states therefore notonly resulted in a substantially larger market, with

    approximately 16 million new potential

    customers, but also in a dissolution of the former

    state monopoly, offering a lucrative business

    opportunity for the existing insurance companies

    (Wagner, 1991).

    More specifically, between 1991 and 1992, the

    improvement in productivity could be mainly

    attributed to an improvement in efficiency, whereas

    between 1992 and 1994, TFP improvement wasmainly due to technological change. The periods

    1995 to 1996, as well as 1997 to 1998, and finally,

    the years 2000 to 2002, can be characterised as

    periods of stagnation, with the first two periods due

    to an average drop in the efficiency change, and the

    latter due to a decline in technological change. The

    period between 1994 and 1995, along with the

    period 1999 and 2000, shows a further

    improvement of the average firm in terms of

    technology and efficiency change, respectively,

    accompanied by an impressive improvement in

    general productivity. Over the whole sample period,

    one can observe a catching up of the average life

    insurance firm towards best practice. When

    considering the DEA efficiency results, it is not

    surprising that the German life insurance industry

    has a positive TFP score. Being more productive is

    likely to achieve major cost advantages and thereby

    a higher degree of cost efficiency.

    When looking at the descriptive statistics, it needs

    to be acknowledged that the high standard

    deviations of both the efficiency change as wellas TFP over the years 1991 to 1993 is due to the

    entry of one new life insurance company into the

    market in 1991. In the following years, the

    company has developed in line with the other

    companies in the sample. It is interesting that the

    technical change between the years 1995 and

    1996 has a standard deviation of only 0.068 and

    0.066, highlighting that there is little variation in

    technological change among the German life

    insurance companies.

    The TFP measures for Germany are considerably

    lower than the ones found by Mahlberg and Url

    (2000) who analysed both life and non-life

    insurance companies over the years 1992 to

    1996. They estimate a significant increase in

    productivity, with the average company

    encountering productivity gains of approximately

    13 percent. However, this increase was unequally

    distributed around companies, including both life

    and non-life companies. Moreover, the German

    average productivity gains over the twelve year

    sample period are identical to those found in theSpanish insurance industry over the time period of

    1989 to 1998, where an equal increase in

    productivity of 2.6 percent was observed

    (Cummins and Rubio-Misas, 2001). The Italian

    insurance industry encountered a significant

    decrease in productivity over the years 1985 to

    1993, with an average productivity decline of

    24.78 percent (Cummins et al., 1996). These

    studies have however all looked at both life and

    non-life insurance companies, which makes a

    direct comparison of the estimates difficult, dueto the different nature of the services and

    products offered.

    In contrast to the European Commission (1992),

    who argue that ... the new competitive pressures

    brought about by the completion of the internal

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    market can be expected to produce appreciable

    gains in internal efficiency...., the above findings

    indicate that the financial consequences of the

    creation of the European life insurance industry

    seem less positive than anticipated. This is in line

    with the findings by Berger (forthcoming), who

    suggests that the creation of a single market for

    the European financial service industry is not

    likely to bring about strong efficiency gains, and

    the view of Grenham et al. (2000), who state that

    German life insurance companies have maintained

    a pre-1994 mentality, as only a slight overall

    improvement in eff iciency and productivity can be

    observed during the sample period.

    4.2. Inter-company efficiency differences

    In order to test the impact of the variousindependent environmental variables, the paper

    utilises the Tobit model for censored data in order

    to allow for the restricted range of Farrells

    efficiency scores. Thereby, the environmental

    factors are regressed against the cost, technical,

    allocative, and scale efficiency estimates. Due to

    the high numbers of iterations needed to run the

    regressions, the random effects model is used

    instead of the fixed effects model. The sample

    includes all thirty-one German life insurance

    companies in a pooled data set over the years1995 to 2002. The results of the calculations

    and the descriptive statistics of the selected

    variables are provided in detail inAppendices 1

    and 2.

    Cost and technical efficiency estimates are

    strongly associated with the size of operations.

    This is in line with Fecher et al. (1993) who show,

    when analysing the degree of cost efficiency in

    the French insurance industry over the period

    1984 to 1989, that size of a company is a vital

    factor to explain ef ficiency, as these companiesmight for example be able to take advantage of

    finance or investment opportunities. On the other

    hand, the opportunistic behaviour by managers as

    a result of increase in scale and more complex

    operations does not seem to be a vital factor to

    explain the impact of company size on efficiency.

    In five out of six estimations, stock companies are

    slightly more efficient than non-stock companies,

    which is in line with Fecher et al. (1993) who find

    that stock life insurers have higher average

    efficiency scores than mutuals. It needs howeverto be acknowledged that the coefficients indicate

    merely a minuscule difference. This is again in

    accordance with the work by Cummins et al.

    (1997), Hardwick (1997), and Fukuyama (1997)

    who observe that mutual companies are, on

    average, only slightly less economically inefficient

    than stock companies, and hence have

    approximately equal efficiency scores.

    Moreover, the regression results reveal that, in

    three cases, the age of the life insurance

    companies seems to have a significant but

    negative effect on explaining the degree of

    efficiency over the eight-year sample period. The

    results therefore confirm that younger companies

    seem to benefit from being more innovative and

    able take advantage of more efficient processes

    and technologies. The reputation and the lower

    average costs of more mature firms do not seem

    to be a key factor.

    When examining the results analysing the

    composition of the investment portfolio of theGerman life insurance companies, it becomes

    obvious that investments in property have a

    positive significant effect on overall cost efficiency,

    with a coefficient of 2.76 when assuming constant

    returns to scale, and 3.12 when assuming variable

    returns to scale. These findings look sensible, as

    over the eight-year time period, the world economy

    had to face slumps in the stock market, making

    investments in properties more attractive and

    worth while. With exceptions to cost efficiency

    and allocative efficiency under variable returns toscale, investments in shares do not seem to have a

    significant impact on the various efficiency

    degrees. However, despite its significance of

    shares at the 1 percent level, cost efficiency under

    constant returns to scale and variable returns to

    scale encounter opposite signs of the coefficient,

    allowing no clear indication of its impact.

    Registered debentures are highly positively

    significant, which could be due to due to the fixed

    interest characteristics of the products. Deposits

    and cash are only negative significant for cost

    efficiency under variable returns to scale,highlighting that as more cash is lying idle

    efficiency declines. The results emphasise that the

    different types of investments are partly associated

    with a higher degree of efficiency, but further

    analysis needs to be conducted.

    Acquisition costs show a positive significant impact

    when regressing both against the constant returns

    to scale and variable returns to scale based

    allocative efficiency estimates. This could be due

    to the fact that companies with higheradministrative expenses are more capable in

    identifying cost-minimising inputs. All other

    variables do not play a significant role in explaining

    the degree of efficiency. The authors wish to apply

    a broader range of variables in the next version of

    the paper in order to provide more insight into

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    what influences efficiency and productivity of the

    German life insurance companies.

    5. CONCLUSION AND FUTURE RESEARCH

    In line with the creation of the European Single

    Market, the German life insurance industry had to

    face deregulation and profound transformation,

    which resulted in many challenges and a

    complete change in business culture for the

    companies affected. The paper attempts to

    extend the established literature on insurance

    efficiency by analysing how the German life

    insurance industry has coped with these

    challenges in terms of efficiency and TFP.

    The sample used includes data on thirty-one

    German life insurance companies over the twelveyears 1991 to 2002. The non-parametric DEA is

    adapted to measure the various efficiency

    estimates using annual best practice frontiers.

    This allows assessment of the cost efficiency of

    individual firms in relation to a set of best

    practice or benchmark firms. Cost efficiency is

    decomposed into technical and allocative and

    scale efficiency for each firm in the sample in

    each year. Besides, DEA-based Malmquist indices

    are generated to estimate the level of productivity

    in the German life insurance market.

    The findings indicate that the financial

    consequences in terms of efficiency and

    productivity of the creation of the European life

    insurance industry seem to be more positive than

    anticipated, with an average overall increase in

    efficiency and TFP. The decomposition of the

    concept of cost efficiency highlights that there

    remains a high potential for efficiency

    improvement in the German life insurance. The

    estimated cost efficiency scores are predominately

    attributable to the low level of technical efficiencyduring the sample period, as German life

    insurance companies on average seem to be not

    using the most efficient technology, thereby

    preventing the most efficient transformation of

    inputs into outputs due to a general overuse, or

    wasting of inputs. Moreover, the results show that

    the German life insurance companies are not

    operating at an optimal scale, nor are they

    choosing the cost-minimising combination of

    inputs. The Tobit regression results highlight that

    over the years 1995 to 2002, the age, size andorganisational form of the German life insurance

    companies partly explain the inter-company

    differences in efficiency. The different types of

    investments are partly associated with a higher

    degree of efficiency, but further analysis needs to

    be conducted.

    This paper serves as a starting point of research

    that attempts to link the current literature on

    efficiency in financial services with the growing

    literature that is concerned with the role of

    financial services in the process of economic

    growth (see the work of Outreville (1990), Levine

    and Zervos (1998), Levine (1999, 1998), Levine et

    al. (2000), and Ward and Zurbruegg (2000)). It is

    anticipated to extend the research by conducting

    efficiency and productivity comparisons among

    the European life insurance markets by using a

    global best practice frontier. So far, only three

    comparative studies of efficiency, covering a

    whole range of insurance industries, by Rai

    (1996), Donni and Fecher (1997), and Diacon et

    al. (2002), have been undertaken in the European

    insurance market. These studies all broadly showthat international differences in the degree of

    efficiency are apparent, but do not give explicit

    reasons for this. By identifying, the factors that

    promote efficiency in the European life insurance

    industry, it will be possible to reveal some of the

    factors that promote economic development.

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    W O R KI N G P AP E R S E R IE S

    APPENDICES

    1. DESCRIPTIVE STATISTICS: ENVIRONMENTAL VARIABLES FOR TOBIT REGRESSION, N=2288, 1995-2002

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    W O R KI N G P AP E R S E R IE S

    2.RESULTSOFTOBITREGRESSIO

    NI

    NE

    FFICIENCY

    SCORES

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    LIST OF WORKING PAPER TITLES

    2004

    04/05 Stephanie Hussels & Damian Ward

    Cost Efficiency and Total Factor Productivity in the European Life

    Insurance Industry: The Development of the German Life Insurance

    Industry Over the Years 1991-2002

    04/04 Axle Giroud & Hafiz MirzaIntra-firm Technology Transfer: The Case of Japanese Manufacturing

    Firms in Asia

    04/03 David Spicer

    The Impact of Approaches to Learning and Cognition on Academic

    Performance in Business and Management

    04/02 Hafiz Mirza & Axle Giroud

    Regionalisation, Foreign Direct Investment and Poverty Reduction:

    The Case of ASEAN

    04/01 Gretchen Larsen & Veronica George

    The Social Construction of Destination Image A New Zealand Film

    Example

    2003

    03/35 Alexander T Mohr & Jonas F Puck

    Asymmetries in Partner Firms Perception of Key Variables and thePerformance of International Jo int Ventures

    03/34 Hafiz Mirza & Axle Giroud

    The Impact of Foreign Direct Investment on the Economic Development

    of ASEAN Economies: A Preliminary Analysis

    03/33 Raissa Rossiter

    Networks, Collaboration and the Internationalisation of Small and

    Medium-Sized Enterprises: An Interdisciplinary Perspective on the

    Network Approach Part 1

    03/32 Stephanie Hussels, Damian Ward & Ralf Zurbruegg

    How Do You Stimulate Demand For Insurance?

    03/31 Donal Flynn & Zahid I Hussain

    A Qualitative Approach to Investigating the Behavioural Definitions of

    the Four-Paradigm Theory of Information Systems Development

    03/30 Alexander T Mohr & Simone Klein

    Adjustment V. Satisfaction An Analysis of American ExpatriateSpouses in Germany

    03/29 David Spicer & Eugene Sadler-Smith

    Organisational Learning in Smaller Manufacturing Firms

    03/28 Alex Mohr & Markus Kittler

    Foreign Partner Assignment Policy & Trust in IJVs

    03/27 Avinandan Mukherjee & Rahul Roy

    Dynamics of Brand Value Management of Entertainment Products

    the Case of a Television Game Show

    03/26 Professor Andrew Taylor

    Computer-Mediated Knowledge Sharing and Individual User Difference:

    An Exploratory Study

    03/25 Dr Axle Giroud

    TNCs Intra- and Inter-firms' Networks: The Case of the ASEAN Region

    03/24 Alexander T Mohr & Jonas F Puck

    Exploring the Determinants of the Trust-Control-Relationship in

    International Joint Ventures

    03/23 Scott R Colwell & Sandra Hogarth-Scott

    The Effect of Consumer Perception of Service Provider Opportunism

    on Relationship Continuance Behaviour: An Empirical Study in

    Financial Services

    03/22 Kathryn Watson & Sandra Hogarth-Scott

    Understanding the Influence of Constraints to International

    Entrepreneurship in Small and Medium-Sized Export Companie

    03/21 Dr A M Ahmed & Professor M Zairi

    The AEQL Framework Implementation: American Express Case Study

    03/20 Dr K J Bomtaia, Professor M Zairi & Dr A M Ahmed

    Pennsylvania State University Case Study:

    A Benchmarking Exercise in Higher Education

    03/19 Alexander T Mohr & Jonas F PuckInter-Sender Role Conflicts, General Manager Satisfaction and Joint

    Venture Performance in Indian-German Joint Ventures

    03/18 Mike Tayles & Colin Drury

    Profiting from Profitability Analysis in UK Companies?

    03/17 Dr Naser Al-Omaim, Professor Mohamed Zairi & Dr Abdel

    Moneim Ahmed

    Generic Framework for TQM Implementation with Saudi Context:

    An Empirical Study

    03/16 AM Al-Saud, Dr AM Ahmed & Professor KE Woodward

    Global Benchmarking of the Thrid Generation Telecommunication

    System: Lessons Learned from Sweden Case Study

    03/15 Shelley L MacDougall & Richard Pike

    Consider Your Options: Changes to Stratetic Value During

    Implementation of Advanced Manufacturing Technology

    03/14 Myfanwy Trueman & Richard PikeBuilding Product Value by Design. How Strong Accountants/Design

    Relationships Can Provide a Long-Term Competitive

    03/13 Jiang Liu, Ke Peng & Shiyan Wang

    Time Varying Prediction of UK Asset Returns

    03/12 A M Ahmed, Professor M Zairi & S A Alwabel

    Global Benchmarking for Internet & E-Commerce Applications

    03/11 A M Ahmed, Professor M Zairi & Yong Hou

    Swot Analysis for Air China Performance and Its Experience with Quality

    03/10 Kyoko Fukukawa & Jeremy Moon

    A Japanese Model of Corporate Social Responsibility?:

    A study of online reporting

    03/09 Waleed Al-Shaqha and Mohamed Zairi

    The Critical Factors Requested to Implement Pharmaceutical Care in

    Saudit Arabian Hospitals: A Qualitative Study

    03/08 Shelly MacDougall & Richard Pike

    The Elusive Return on Small Business Investment in AMT: Economic

    Evaluation During Implementation

    03/07 Alexander T Mohr

    The Relationship between Inter-firm Adjustment and Performance in

    IJVs the Case of German-Chinese Joint Ventures

    03/06 Belinda Dewsnap & David Jobber

    Re-thinking Marketing Structures in the Fast Moving Consumer Goods

    Sector: An Exploratory Study of UK Firms

    03/05 Mohamed Zairi & Samir Baidoun

    Understanding the Essentials of Total Quality Management:

    A Best Practice Approach Part 2

    03/04 Deli Yang & Derek Bosworth

    Manchester United Versus China: The Red Devils Trademark Problems

    in China

    03/03 Mohamed Zairi & Samir Baidoun

    Understanding the Essentials of Total Quality Management:

    A Best Practice Approach Part 1

    03/02 Alexander T Mohr

    The Relationship Between Trust and Control in International Joint Ventures

    (IJVs) An Emprical Analysis of Sino-German Equity Joint Ventures

    03/01 Mike Tayles & Colin Drury

    Explicating the Design of Cost Systems

    2002

    02/34 Alexander T Mohr

    Exploring the Performance of IJVs A Qualitative and Quantitative

    Analysis of the Performance of German-Chinese Joint Ventures in the

    Peoples Republic of China

    02/33 John M T Balmer & Edmund Gray

    Comprehending Corporate Brands

    02/32 John M T Balmer

    Mixed Up Over Identities

    02/31 Zo J Douglas & Zoe J Radnor

    Internal Regulatory Practices: Understanding the Cyclical Effects within

    the Organisation

    02/30 Barbara Myloni, Dr Anne-Wil Harzing & Professor Hafiz Mirza

    A Comparative Analysis of HRM Practices in Subsidiaries of MNCs and

    Local Companies in Greece

    02/29 Igor Filatotchev

    Going Public with Good Governance: Board Selection and Share

    Ownership in UK IPO Firms

    02/28 Axele Giroud

    MNEs in Emerging Economies: What Explains Knowledge Transfer to

    Local Suppliers

    02/27 Niron Hashai

    Industry Competitiveness The Role of Regional Sharing of Distance-

    Sensitive Inputs (The Israeli Arab Case)

    02/26 Niron Hashai

    Towards a Theory of MNEs from Small Open Economics Static and

    Dynamic Perspectives

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    02/25 Christopher Pass

    Corporate Governance and The Role of Non-Executive Directors in Large

    UK Companies: An Empirical Study

    02/24 Deli Yang

    The Development of the Intellectual Property in China

    02/23 Roger Beach

    Operational Factors that Influence the Successful Adoption of InternetTechnology in Manufacturing

    02/22 Niron Hashai & Tamar Almor

    Small and Medium Sized Multinationals: The Internationalization

    Process of Born Global Companies

    02/21 M Webster & D M Sugden

    A Proposal for a Measurement Scale for Manufacturing Virtuality

    02/20 Mary S Klemm & Sarah J Kelsey

    Catering for a Minority? Ethnic Groups and the British Travel Industry

    02/19 Craig Johnson & David Philip Spicer

    The Actio