Division of Building and Real Estate Economics Department of Infrastructure Royal Institute of Technology, Stockholm Master of Science Thesis No: 291 Economies of Scale in Shopping Center Industry Author: Qiong Wang Supervisor: Professor Stellan Lundström Stockholm, April 2005 1 Master of Science Thesis Title: Economies of Scale in Shopping Center Industry Author: Qiong Wang Department Department of Infrastructure, Division of Building and Real Estate Economics, Royal Institute of Technology, Stockholm Report reference: Thesis no. 291 Supervisor: Stellan Lundström Keywords: Real estate, Economies of scale, Shopping centers, Cost, Size Abstract During recent decades the real estate industry has been undergoing tremendous expansions, and the shopping center industry is also witnessed consolidations, mergers and acquisitions of holding companies and size increasing of shopping centers. Under the assumption that the inspiration of these activities is to pursue efficiency benefits from economies of scale in larger shopping centers and holding companies, this thesis uses different methods to test the existence of scale economies in two shopping center holding companies and further proposes a method to investigate scale economies for shopping centers through cost structure analysis. The relationship between firm profitability and firm asset size is found to be direct in regression analysis while to remain ambiguous in trend analysis due to some mixed results. Additionally, the largest potential economy source is common area maintenance expenses and the strongest sources are most likely to be the insurance expenses or general and administrative expenses. Further researches on scale economies for shopping centers could examine cost savings from the increasing operation size and the externalities across stores (or anchors) and the hosting center. 2 Acknowledgement I would like to thank my supervisor Professor Stellan Lundstöm for his helpful inspiration and guidance. The teaching and administrative staff in Division of Building and Real Estate Economics are highly appreciated and respected. Great gratitude to Dr. Bers Martina and Dr. Thomas Springer for their advice and direction in my thesis writing and their contribution to researches on scale economies of real estate industry. My thanks also to the respondents interviewed during the research who found time to respond to my questions despite of their busy schedules and who provided help for the collection of information: Stina Samuelsson at Centrumutveckling; Christina Gustafsson at IPD; Mike Tubridy at ICSC; and Kelvin Huang at SRE, Singapore. In addition, I like to express my appreciation to my classmates and friends for their encouragement, constructive suggestion and revision. 3 Table of Contents 1. Introduction ..........................................................................................................................5 1.1. 1.2. 1.3. 1.4. 1.5. 2. Background ...............................................................................................................5 1.1.1. Overview of Real Estate Industry .....................................................................5 1.1.2. Shopping Center Terms .....................................................................................6 Statement of problems and Objectives....................................................................11 Methodology ...........................................................................................................11 Limitations ..............................................................................................................11 Structure ..................................................................................................................11 Theoretical Background .................................................................................................13 2.1. 2.2. Introduction to economies of scale..........................................................................13 Economies of scale in real estate industry-- Review of literature ...........................14 2.2.1. Research on Real Estate Investment Trust .................................................14 2.2.2. Methodology to test economies of scale .......................................................17 2.3. Economies of Scale in Shopping Centre Industry...................................................18 2.3.1. Internalities for Shopping Centres...............................................................19 2.3.2. Externalities for Shopping Centres..............................................................19 3. Analysis of Economies of Scale for Shopping Center Industry ..........................23 3.1. 3.2. 3.3. Brief Presentation of Atrium and Westfield ............................................................23 Data .........................................................................................................................24 Methods...................................................................................................................25 3.3.1. Regression analysis........................................................................................25 3.3.2. Trend analysis................................................................................................26 3.4. Translog cost model ................................................................................................27 3.4.1. Data required.................................................................................................27 3.4.2. Translog cost function...................................................................................31 4. Results ..................................................................................................................................32 4.1. 4.2. 4.3. 5. Results from regression analysis .............................................................................32 Results for Trend Analysis ......................................................................................33 Remarks of possible results for translog cost model...............................................37 Conclusion ...........................................................................................................................39 Reference 4 1. Introduction 1.1. Background 1.1.1. Overview of Real Estate Industry Real estate companies has experienced tremendous expansion and consolidation over the last decade, and the implication is that companies are in an effort to pursue the gains resulting from any efficiency in production and operation with an increasing size under an assumption that economies of scale occur in real estate industry. Most obvious evidences being observed are from Real Estate Investment Trusts (REIT), where signals from real estate investment growth in income producing properties and the ascending REITs capitalization are generally used to support the argument of the existence of economies of scale. From 1997 to 2004, REITs were seen an expansion of market capitalization from 1.5 billion dollars to 308 billion dollars, and the number of REITs increases from 34 to 1921 It is explained that REITs are excellent tools to capture economies of scale opportunities because there is no equity capital constraint for REITs (Ambrose, Highfield and Linneman, 2004) Following this trend, shopping center industry expands dramatically in different markets. Since 1986, the total number of US shopping centers has increase 65 per cent, the total area expanded nearly 6 billion square feet, and more than 90 per cent of shopping centers are REIT occupied2. In Sweden, tremendous expansion on the shopping centre market with store area increasing by almost 50 per cent between 1995 and 2000 alone3. Individual retail property companies and REITs have increased size by mergers, acquisitions and consolidations. The Australia-based REIT Westfield Group created the largest shopping center owner in the world by equity capitalization with total asset of 34,281 million dollars (at the end of 2004) by aggressive mergers and acquisitions, and now holds a portfolio of 124 shopping centers and 36.5 billion dollars asset under management4. Taking it as an example to exploit economies of scale, if we assume that Westfield Group is seeking efficiency benefits in operation and management with the increasing size, we can get some implications of economies of scale by simple analyses on various performance measures of retail property companies, whereas the inaccuracy of simple analyses requires the sophisticated researches. The debate over the existence of economies of scale has lasted for decades and three general results about REIT economies being discussed and tested by variable methods processing data from different sectors through different time periods. They are existence of economies of scale, existence of diseconomies of scale and existence of economies of scale for certain REIT type. 1 Data from Historical REIT Industry Market Capitalization: 1972-2004 2 Data from ICSC (International Council of Shopping Centers) 3 Data from NCSC (Nordic Council of Shopping Centers) 4 Data from Westfield Group, www.westfield.com 5 Meanwhile, big shopping centers become even larger. For example in Sweden, individual shopping centers increase significantly in square areas by refits and redevelopment due to limited new supply of retail premises. Most of Swedish shopping centers now are experiencing expansion. In the Stockholm region, Vällingby centre is expanding by further 18,000 M2, taking its total store area to 46,000 M2 in 2005. Skärholmen centre is undergoing a refit and is expanding by 20,000 M2 to cover a total store over 80,000 square meters5. One of the motivations of the expansion activities is that the inclusion of more entertainment and food courts should take shopping centers more retail traffic and increase the sales of other retail stores, though its effects are doubted by some researchers (Haynes, Joel B. and Salil Talpade, 1996) that consumers who are drawn by entertainments are less likely to visit shops rather than food courts. 1.1.2. Shopping Center Terms Shopping Center Definitions The term “shopping center” has been evolving since its first presence in 1920s. As the shopping center industry has grown and changed, more types of centers have evolved and the content of the term has been enriched. There are various definitions for shopping center, whereas, the internationally accepted term of shopping center is given by Urban Land Institute (ULI), Washington D.D., USA. A group of retail and other commercial establishments that is planned, developed and managed as a single property. On-site parking is provided. The centre’s size and orientation are generally determined by the market characteristics of the trade area served by the centre. There are four basic types of shopping centres, neighbourhood, community, regional and superregional, classified according to major differences in size, number of anchors, and trade area, which are typical characteristics of each type. As the shopping centre industry matures, numerous types of shopping centres exist currently that go beyond the originally four basic classifications. And all the centres remain in two basic configurations: Mall: Malls are typically enclosed, with a climate-controlled walkway between two facing strips of stores. The term represents the most common design mode for regional and superregional centres and has become an informal term for these types of centres. Strip Centre: A strip centre is an attached row of stores or service outlets managed as a coherent retail entity, with one-site parking usually located in front of the stores. Open canopies may connect the storefronts, but a strip centre does not have enclosed walkways 5 Data from Atriumfastigheter AB 6 linking the stores. A strip centre may be configured in a straight line, or have an “L” or “U” shape. Classifications of Shopping Centres in Different Countries Following American ways to develop and operate shopping centers, professionals in most other countries innovate management methods of shopping centers and adapt centers to the local society. Different countries therefore categorize shopping centers a little differently according to geographic conditions, demographic structures and social custom. ICSC has defined eight principle shopping centre types in America, neighbourhood, community, regional, superregional, fashion/specialty, power, theme/festival, outlet and lifestyle. The details of definitions of these eight types are shown in Table 1. As stated in the Centrumutveckling Shopping Center Directory 04/05, the definition of shopping center by ICSC would exclude many of 320 Swedish shopping centers, since they consist of different properties and have different owners and management. So the classifications of shopping centers in Sweden are modified and adapted to the local situation and need, see table 2. 7 8 Table 2. Swedish Shopping Center Definitions: Centrumutveckling Shopping Center Directory 04/05 Type of shopping Concept center Squaremet Number Number of ers (GLA) of shops inhabitants in Type of stores/ services market area Neighbourhood Convenience goods and personal services 3,000— 7--15 15,000 A large supermarket (anchor), a post office, a /Convenience bank, a limited number of durable goods. center 7,000 Community/ Durable goods, convenience 7,000— Municipality/ 16--35 30,000-60,000 20,000 stores, a café shop, a post office, a bank, and a Town center state owned liquor store. District Center in Larger districts or groups of districts have major cities a District center Regional Center Power One/two large supermarket, national chain Center/ N/A N/A N/A All retail categories 50,000--6 More than More Entertainments 0,000 50 10,000 8,000—15 From 4-5 A number of very large retail units in different ,000 and up retail categories. 10,000-- N/A Special type of out-of-town centers Retail Park Factory Outlets Second-rated products at a discount price As offered in Community centers than One/more department store like hypermarket, large supermarkets, large national chain stores N/A Retail units owned and run by manufacturers from manufacturers of e.g. textile, or and designer companies. glassware Theme center, city A center/city galleries merchandise Retail clusters/ Trading centers narrow but with deep a selection specific of retail A few 15-- thousand category, located at a density of visitors upwards Agglomeration of retail units without N/A More 50,000 than Niche of retail market, retail category could be fashion, home furnishing, leisure/sporting goods or restaurant or entertainment. N/A N/A Category-killers original planning, have a large catchment 9 1.2. Statement of problems and Objectives Economies of scale in real estate industry could explain the expansion trend of shopping center industry. A cost continuum with the variable cost at the one extreme and the fixed costs at the other is believed to exist in any operating company. The total cost for a shopping center can be a hybrid cost taking on the characteristics of variable costs and fixed costs. If shopping centers operate near to the fixed end of the cost continuum, they will have a large degree of potential economies of scale associated with the total costs. The objective of this study is to assess economies of scale in shopping center industry from the following two respects: * Do retail property firms (shopping center owners) improve profitability as the asset size increasing? * Analyzing the cost structure of shopping centers to identify the source of economies of scale. 1.3. Methodology Three research methods are adapted in this study in order to examine the existence of scale economies for both retail property companies and shopping centers. Regression analysis is used to investigate the statistic relationship between the performance and the size of a retail property company and shopping centres. Trend analysis summarizes the information from historical records in an attempt to describe the evolution of the retail property company and shopping centers. And a shopping center cost structure analysis with the application of the translog cost function is proposed to test economies of scale for the shopping centre industry. 1.4. Limitations The scope of proposed research analyses is limited by data availability. Unlike publicly published REIT database in the U.S., there is less existing database specially containing the financial and cost information of retail properties in Sweden or other countries. In this sense, the data cannot capture the true size of the industry studied. And the results of the study are solely based on the data available by annual reports of Atrium Real Estate Company and Westfield Holding Company. 1.5. Structure This thesis comprises six parts. The first part presents objectives of the thesis and briefly introduces the outline. The second part is the theoretical presentation of economies of scale, including the literature review of REIT researches and shopping center researches and the third part consists of shopping center definitions and classifications. Case studies with the application of research methods proposed to test economies of scale in the shopping center industry are established in the fourth part and results are discussed in the fifth part. The final part is the conclusion of this thesis with further research recommendations. 11 2. Theoretical Background 2.1. Introduction to economies of scale Economies of scale refer to increasing returns to scale (IRS), which exist when the cost of producing one unit of a product or service decreases as the volume of production increases. In economics, economies of scale and diseconomies of scale have been often used. Though the definitions of these concepts remain ambiguous. Here definitions given by Hanoch (1975, p.492), and Takayama (1994, p.157) are briefly presented, and it is obvious that they are used under different conditions and can be equal when certain requirements are met. Hanoch’s definition is most widely used and goes as follows. IRS is said to prevail if output increases more than k times when all factors are increase by k times (k > 1). Define parameter α by α(k,x)≡f(kx)/[kf(x)], (1) f(x) is the production function of input x, then IRS(α) is said to prevail, if α(k,x) > 1 for all k >1 , and α(k,x) < 1 for all k such that 0<k<1 (α(k,x)=1, when k=1), According to Takayama’s textbook, IRS can be defined in terms of the cost elasticity of output θ, which can be a measure of economies of scale, θ(y)≡MC/AC=(dC/dy)/(C/y) (2) where y=f(x) and C(w, y) is the cost function obtained by the usual cost minimization procedure. w is the price of the input factor x. MC is the marginal cost and AC is the average cost. Therefore economies of scale occur, that is, IRS(θ) prevails, if θ<1. This means that one per cent increase in output results from less than 1 percent increase in the total cost. This definition will be used in the later part of this study to test the economies of scale for shopping center industry. There are many reasons for the rises of economies of scale. In large-scale producing industries, a large operation allows labour specialization that improves the productivity and reduces the labour switching time. Meanwhile, the increasing output volume makes it possible to use more indivisible inputs with higher productivity and hence reduce the costs. Economies of scale tend to happen for the capital-intensive industries like automobile industry and oil refining business, which require a large number of investments to start up. These industries have a high fixed cost while relatively lower variable costs, as the outputs increase, total costs will increase at a decreasing rate, and economies of scale are exploited. 13 Economies of scale can be classified into internal economies and external economies. The former refers economies of scale existing within the scope of a firm, while the latter occurs outside of a firm, within an industry. In urban economics, there are two classes of external economies of scale, localization economies and urbanization economies. Localization economies are external economies of scale occurring when firms producing the same products locate to one another to benefits from sharing the supplier’s intermediate inputs, sharing a pool of labour, and sharing information, therefore the production costs of individual firms decreases as the total output of the industry increases. Unlike economies from clustering at the same location, urbanization economies occur if the production cost (in average) of an individual firm decrease as the total output of the urban area increases and are economies of scale across industry boundaries. Economists think that if there are urbanization economies, what matters is the size of the urban economy, not the size of a particular industry, so expect larger cities to generate higher productivities, more plant births, and faster employment growth. 2.2. Economies of scale in real estate industry-- Review of literature After the worldwide saving and loan crisis in the late 1980s, real estate investors who used to finance investments by debt turned to the public capital market. Since 1994, mergers, acquisitions and consolidations have become a new trend in the industry, and these activities make the real estate companies (or REIT size) much larger than ever. Whether the real estate companies (funds or trusts) can benefit from big sizes becomes a hot topic for real estate and finance researchers. 2.2.1. Research on Real Estate Investment Trust Researches on economies of scale in real estate industry reveal some interesting and mixed results. This section briefly introduces researches on REIT from information perspective. Though economies of scale are defined as situations of increasing outputs associated with diminishing average costs, and thus can be measured, it is not an easy task to identify economies of scale for real estate industry or REIT. According to Ambrose, Highfield and Linneman, (2004) the difficulty arises for two main reasons. First, given the relatively similar size of most REITs and their recent integration, the statistical technology available to accurately measure economies of scale is not sufficiently precise to fully capture across sectional variations. Second, the effort requires by growing firms to capture scale economies is difficult and time consuming, with the pain of integration generally occurring prior to the realization of the benefits. Thus, exploring cross sectional variations in the presence of significant merger and acquisition activity understates the benefits of scale. 14 Economists measure economies of scale for REITs by analyzing effects of merges, acquisition and/or consolidation on security prices and growth of profits, investigating the cost structures and inspecting performance measures for different classifications of REITs. Merges, acquisitions and consolidations impact on investors’ expectation of efficiency of integrated REITs, reflect on an increase or decline on share prices, and hence add value to shareholders´ wealth. So it is stated that one of the main driving forces behind consolidation in real estate industry is the belief that larger REITs should obtain some measure of efficiency gained in improving profit margins by increasing revenues and lowering expenses (Ambrose, Highfield and Linneman, 2004). Allen and Sirmans (1987) measure the effects of REIT mergers on the wealth of the acquiring trust's shareholders and find a significant increase in shareholder wealth, which is attributed to the improved management of the acquired trust's assets, suggesting potential economies of scale. Thinking of the limited sample size of A&S’s study, McIntosh, Officer and Born (1989) extend the analysis and further testify the A&S’s result by increasing sample size. The opposite results found by McIntosh, Liang and Tompkins (1991) indicate that the small REITs earn higher returns with no more risk than large REITs during 1974 to 1988. This result proves the small-firm effect in banking industry also works for REITs securities. Ambrose, Ehrlich, Hughs and Watcher (2000) study whether or not there are gains to consolidation due to economies of scale from size, brand imaging and informational gains from geographic specialization. Using data on 41 multi-family equity REITs from 1990s, they construct shadow portfolios that mimic each REIT’s exposure to changes in local market conditions and separate the growth resulting simply from market growth. Results indicate that net operating income (NOI) growth rates of small REITs exceed average growth rates in their holding-property markets, and hence small REITs appear to be generating revenues and operating under economies, which it is not the case for large REITs. Since economies of scale occur if an increase in a firm’s inputs is less than directly proportional to increase in its outputs, economists also explore scale economies in real estate industry from the cost side of REITs. Research by Capozza and Seguin (1996) analyses the effect of managerial style on firm value by partitioning general and administrative (G&A) expenses in REIT industry into non-discretionary “structural” component associated with the costs of asset and liability management and a discretionary or “style” component. They find that the structural component of G&A expenses increases with assets and liabilities under management at a decreasing rate, which suggests economies of scale in managing. Bers and Springer (1998) identify the source of the scale economies by applying the estimation methodology, translog cost model (TLC), to various cost categories. By investigating the cost 15 categories—G&A expenses, management fees, operating expenses, interest expense and interest expense as a percentage of total liability—as potential sources of economies of scale for REITs, they find that the strongest sources of economies of scale are G&A expenses and management fees, which are also the smallest components of total costs, while the largest cost components, namely, operating expenses and interest expense, show either modest scale economies or diseconomies of scale in the study. Therefore, it is suggested that the REITs seeking to merge with or to acquire other REITs should seek out targets that have larger percentages of total expense in G&A expenses and management fees. The heterogeneity is the most important feature of real estate industry. Different characteristics of different sectors in the real estate industry, as well as differences in size, are also introduced as the possible reasons for economies of scale for REITs. By using two-way analysis of variance to test for differences among size and property-type categories of REITs from 1985-92, Capozza and Lee (1995) find that retail REITs trade at significant premiums relative to the average REIT while warehouse/industrial REITs trade at discounts and small REITs trade at significant discounts while large REITs trade at premiums. But they do not explore the possible sources of the premiums and discounts. Crober (1998) states that Equity Residential Trust’s biggest competitive advantage is the ability to invest in high quality personnel, which results from of its size; and implies that larger REITs, with higher quality management, will be better positioned to acquire properties and position them for rent growth. He suggests that a key component of the economies of scale argument is the idea that larger REITs are better able to identify properties whose rents will grow faster than the overall market rent. The working paper by Bers and Springer (1997) shows the existence of economies of scale for REITs, and difference in leverage, management type and the degree of investment in mortgages clearly affect the level of scale economies achieved by individual REITs. The study finds that the impact of diversification on the estimated scale economies is inconsistent. Moreover, they find there is an optimal size for REITs, which cannot be isolated because of its dependence on the characteristics of the individual REITs and variance overtime. A later study by Bers and Springer (1998) further extend their earlier research on the sources of scale economies, by assessing differences in scale economies between various classifications of REITs, which are categorized according their management, type of investment, capital structure, the extent to which they diversify across property types, and dominant type. The translog cost model is still adapted to derive the scale economy estimates. The study shows that REITs experience scale efficiencies differently according to their characteristics: the externally managed REITs, mortgage REITs, low-leverage REITs and well-diversities REITs have larger estimated scale economies, compared to other classifications in their respective categories. Ambrose and Linneman (2001) test the hypothesis that scale economies exist due to firm size by regression analysis and get results that larger firms have higher profit margins and rental revenue 16 ratios, lower implied capitalization rates and lower costs of capital, but there is not a statistically significant relationship between firm size and expense ratios. Through examining growth prospects, revenue, and expense measures, profitability ratios, systematic risk and capital costs, Ambrose, Highfield and Linneman (2004) investigate scale economies in REITs using a sample of 187 equity REITs trading in U.S. markets from January 1990 to December 2001. They find that large REITs are increasing growth prospects while succeeding at lowering costs, leading to a direct relationship between firm profitability and firm size, which is coincide with Ambrose and Linneman’s findings (2001). In all, researches on economies of scale for REITs have two main strains. One demonstrates the small-firm effect that larger economies occur for small REITs than for big ones; and this result seems to be based on analyses of REITs before mid 80s. The other thinks that larger REITs can generate economies of scale, while with diminishing returns. There are also diseconomies existing for certain types of REITs. 2.2.2. Methodology to test economies of scale Two techniques are commonly used to test economies of scale for real estate industry; they are translog cost model (TLC) and data envelopment analysis (DEA). Translog Cost Model Translog cost model is a regression-based technique. It is widely used in scale economy studies. This technique is based on a translog cost function, which is applied when there are many outputs and inputs. That is: Outputs: y= (y1,….., ym); Inputs: w=(w1,…..,wn ) Then, m n ln C ( y, w) = a 0 + ∑ a i ln y i + ∑ bi ln wi i =1 + m i =1 n 1 1 a ln y ln y + bij ln wi ln w j ∑∑ ij i j 2 ∑∑ 2 i =1 j =1 i =1 j =1 m n m (3) n + ∑∑ g ij ln y i ln w j i =1 j =1 C(y,w): the cost to produce outputs y by input w. In real estate research, the outputs are usually total assets, and the inputs are various cost control factors, such as financial leverage, management type and so on (Bers and Springer, 1997 and 17 1998). Economies of scale are measured by the elasticity of costs with respect to total assets, which is calculated as the ratio of the percentage change in costs to a percentage change in total assets accordingly. Scale economy estimator (SCE) is the reciprocal of the elasticity (average elasticity for total costs), when it is higher than 1, economies of scale exists, which means that an additional unit of input is associated with more than a unit of output, and vice versa. While DEA modelling requires a set of sophisticated mathematics, it has advantages when regression based techniques lead to model sensitivity and functional instability. Data Envelopment Analysis DEA is a non-parametric, linear programming technique used to construct an efficient cost frontier to measure the relative efficiency. This technique is employed in researches on a broad range of industries to measure performance and economies of scale. When using DEA to detect economies of scale for real estate industry, the efficient frontier is constructed by examining linear combinations of sample firms and determining the minimum input usage necessary to achieve a given output level. The inputs can be proxy with measures of various costs, specially operating costs, general and administrative cost, management fees, and interest expenses, resulted from various activities involved in operating firms. Total assets are the measure of the output. A firm with given level of output (total assets) with minimum input usage (costs) is said to operate on the efficient cost frontier and is identified as X-efficient. If there is any additional input, the firm is classified as X-inefficient, and this overall inefficiency is decomposed into deviations from the efficient frontier as a function of poor input utilization and failure to operate at constant returns, which is defined as scale inefficiency. 2.3. Economies of scale in shopping centre industry Like for other sectors in real estate industry, economies of scale for shopping centres are detected by whether there are reductions of average costs resulting from the increasing size, which can be measured by market capitalization or be proxy with physical area, since some researchers believe that the relationship between the area and value of a shopping centre is generally directly proportional. Retail leases, which require an overage rent that equals a portion of the difference between retail sales of stores and the threshold sales and add this rent to the base rents, are designed differently from the housing contracts and office leases, and the financial success of a shopping center is tied to the ability of retailers to increase sales productivity. A center depends in large measures on this increase to produce a continually growing rental income stream, so shopping centre owners can benefit from economies of scale from different sources other than common ones such as costs. To get a comprehensive understanding of scale economies in shopping centre industry, this section presents economies of scale both for property owners and retail tenants. According to 18 shopping centre literatures, economies of scales can be tested within the domain of a shopping centre, the market area shared by competitive shopping centres or real estate companies holding a shopping centre portfolio, and across the borders of shopping centres and retail stores. 2.3.1. Internalities for Shopping Centres Internal economies of scale can occur both for a single shopping centre and for a property company that owns a number of shopping centres. The possible main sources of internalities are cost reductions, which means the management quality and centre size play an important role in the process of achieving internalities. As Sirman and Guidry (1993) demonstrate, shopping centre area, age and anchor tenants increase shopping centres’ attractiveness and centre rents. For shopping centers, it means that they have to deal with property taxes, lease accounting and administration, tenant administration, the property’s long-term planning, annual budgeting and ongoing forecasting, the monthly operating statement, the timely reporting to owners and partners, the collection of receivables, payrolls and all the other concerns for management funds, as well as maximizing the value of assets. Like portfolio managers, shopping centre owners should decide on structure, which is the number and categories of tenants contained in the centre, and stock, which is the amount of space that will be allocated to each chosen tenants. Tenant mix together with the architectural design, location selection and advertisement promotion create a unique retail image of the shopping centre, which is the consumers’ perception of store attribute. The inputs to this process comprise of development, construction, operation and maintenance, renovation, management, and financing, while the outputs are rental incomes and market value of the shopping centres. So internal economies of scale for shopping centres can be explored by owners’ active management. For retail property companies, expenses can be saved from efficient operations and also enhance the centre’s bottom-line that might achieve internalities. However, the research by Bers and Springer (1998) shows that diseconomies exist for regional shopping center REITs due to the heterogeneity. 2.3.2. Externalities for Shopping Centres As the supplier of store spaces where retail activities house, shopping centres are closely related with retailers (tenants), this relationship was described as symbiosis, since shopping centres will get a higher rental income generated from increasing retail sales, while retail stores gain more customer visits attracted by shopping centre image (or anchor’s image as some researchers argue). Shopping centres develop with the change of retail shopping behaviours and retailing patterns. Even the shopping centre literature has followed the historic practices of retail practitioners rather than leading them to a new horizon (Eppli and Benjamin, 1993). The first study on externalities for retailers and centres is the Central place theory (Christtaller, 1920), which acclaims that heterogeneous stores tend to cluster in the centre of the market. Retail 19 agglomeration economies (Hotelling, 1929), based on central place theory and the principle of minimum differentiation, and retail demand externalities, which is newly emerging these years, offer a theoretical foundation for studies on economies of scale in shopping centre. Hotelling’s model reveals that two competing firms selling a homogenous product will locate in the centre of the market. Though many economists at that time thought that the cluster of homogenous firms is socially wasteful and economically unstable for retailers, Hotelling’s supporters found that consumers desire to do comparison shopping and the cluster is socially useful (Eaton and Lipsey, 1979). Some later researches show that the retail cluster can reduce consumers’ searching cost and transportation cost and consumers will bypass the closest shopping alternatives to comparison shop at a more distant shopping center that houses a sufficiently large number of similar stores. Therefore, shopping externality is introduced and it occurs if the sales of one store are affected by the location of other stores; these stores have two types of products, imperfect substitutes and complements to generate shopping externality. Shopping centres provide consumers with a mix of imperfect substitutes and complements, allowing both comparison shopping and one-stop shopping. So the implication of this theory is that shopping centres should be well planed with a desirable tenant mix to create agglomeration economies for all tenants by active management. While retail agglomeration economies explain why retailers tend to cluster in the market centre and how they could benefit from the clustering, the proponents of retail demand externalities believe that in large shopping centres, low-order good retailer and smaller retailers receive demand externalities from the additional traffic generated by high-order anchor retailers. The benefits of demand externalities flow one-way from the latter to former, which is different from the two-way benefit flow advocated by retail agglomeration economies. So they think that it is the anchor retailers who create these externalities. There are several studies about externalities for shopping centres. Bruecker (1993), Gatzlaff et.at (1994), Eppli and Shilling (1995), Miceli and Sirman (1995), Pashigan and Gould (1999) and Mejia Eppli (2003) all argue that the presence of anchor stores benefits non-anchor stores in enclosed shopping centres by creating more custom traffic, that is, customer spillover benefit. Since non-anchor stores free-ride the benefits, the owners should internalize externalities generated by anchors, and the common means in practice and academics is to charge non-anchors rent premiums and offer rent subsidies to anchors. As estimated by Pashigian and Gould (1999), anchors receive a per foot subsidy of no less than 72 per cent that non-anchors pay. How to benefit from externalities remains a problem for both researchers and owners. Bruecker (1993) creates a model where inter-store externalities generated by anchor stores and increase in a store‘s spaces are both factors giving rise to the store’s sales, and analyze the relationship between sales and rents under a number of different behavioral assumptions; he suggests that developers should take the externalities into account and allocate space to the various stores to maximize the shopping centres’ net operating income. Mejia and Eppli (2003) also suggests that 20 resource constrained developers need to assess the impact of competition on their investment when allocation capital to anchor store physical assets (space) and intangible assets (image). However, there is no commonly accepted methodology on how to proxy for demand externalities. It is difficult to quantify exactly the effect and to identify how lower (or higher) the premiums are. Based on these researches on economies of scale for REITs and retail property industry, this thesis is continued with case studies to test the existence of scale economies for individual real estate companies and shopping centers. 21 3. Analysis of Economies of Scale for Shopping Center Industry As presented in Part 2, economies of scale for shopping centres are composed of externalities and internalities. The symbiotic nature of relationship between retailing and shopping centre industry makes it necessary to study them together. Studies show that retail tenants’, especially anchors’, mergers, consolidations, bankruptcies and liquidations impact shopping centre’ rental income a lot. Based on US data from 1990 to 1997, Sampson (1998) makes a conservative estimate of total operating income losses for shopping centre owners, and finds that the profitability of shopping centre dropped 10 per cent or less. Though that would be interesting to do further research on externalities, it will not be the main topic of this study due to limited accessibility of necessary datasets and information. In the spirit of the previous researches on economies of scale for real estate industry (or REIT) and shopping centre industry, this study will formulate three research methods to estimate respectively the effect of firm size on profitability, and the effect of shopping centre size across multiple dimensions of operating costs. Regression analysis and trend analysis are used respectively to investigate the existence of scale economies for two retail property companies, Atrium Fastigheter AB, Sweden, and Westfield Group, Australia, and a shopping center cost analysis with the application of the translog cost model is proposed to test economies of scale for the shopping centre industry. 3.1. Brief Presentation of Atrium and Westfield Atrium Fastigheter AB has the second largest retail property portfolio with sixteen Swedish shopping centers, which qualifies it as the largest shopping center owner in Sweden. The company is a result from a merger in 1999 by two property companies Brogatan and Stadsgården. The owners are Cooperative Society of Stockholm, Cooperative Pension Fund and Cooperative Pensions Friendly Society. The company focuses on retail property sector, with lower portions of office and residential premises, and the geographical concentration is on Great Stockholm Area. In 2003, the company’s total asset amounted to 6.45 billion Swedish Kronor, with 80 properties, which had a total market value of MSEK 8, 200 at the end of the year. Due to the limited supply of shopping centers in Sweden nowadays, Atrium pursues a larger share of Swedish retail property market by refits and development of existing premises. Different from the very Swedish retail property company, Westfield Group is the largest shopping center owner in the world by equity capitalization with total asset of 34,281 million dollars (at the end of 2004) and now holds a portfolio of 124 shopping centers cross four countries and 36.5 billion dollars asset under management. Westfield Group enlarges operation scale through a series of mergers and acquisitions, construction and development and finally attained the world No. One by the merger of Westfield Holdings, Westfield Trust and Westfield America Trust in 2004. Although its REIT ownership and big size can provide real estate researchers more evidence to support or to deny the argument of the existence of scale economies, this study selects Westfield Holding Limited as the research subject to investigate 23 existence of scale economies by analyzing the trend of this property management company. 3.2. Data Data in regression analysis is from annual reports of Atriumfastigheter AB, Sweden, covering the most important financial data of the corporate from 1999 to 2003. Although the short time period of the sample might limit the accuracy of the coefficients, the relationship between dependent variables and independent variables can be postulated from coefficients. One observation confines the possibility of estimating scale economies for the retail property industry. Data in trend analysis is from Westfield holding’s annual reports from 1996 to 2004. To clarify the use of variable measurement, I should present definitions of variables in this study. First, total asset is defined as the sum of short-term investments, cash and bank balances and total current assets. It measures the firm size. Besides the total assets, other independent variables such as debt ratio, inventory turnover, and receivable turnover are defined here. Interest-bearing liabilities divided by total assets yields the debt ratio, which tells how much the company is debt financed. According to Modigliani and Miller’s proposition 2, the expected rate of return on the common stock of a levered firm increases in proportion to the debt-equity ratio, that is, a firm with a higher debt ratio can benefit its shareholders more. Since the interest expenses can be used to deduct income taxes, a higher debt ratio results in a lower weighted average cost of capital (WACC) for the firm. However, a high financial leverage increases the probability of financial distress, whose costs will take a substantial bite out of firm value. Thus, the optimal mix of debt for a firm involves a tradeoff between the benefits of leverage and possibility of financial distress. In the existence of scale economies, the firms that have a lower WACC tend to borrow more, which results in a higher financing cost. However, the firms with higher financing costs do not certainly achieve scale economies. The inventory turnover measures a firm’s management of its inventory, and is calculated by dividing sales by inventory. In general, a higher inventory turnover ratio indicts better performance since the firm's inventories are being sold more quickly. However, if the ratio is too high then the firm may be losing sales to competitors due to inventory shortages. While the receivable turnover is indicative of the firm’s credit policy, measuring how fast it collects its account receivables. The receivable turnover is defined as the ratio of sales to account receivables; when it is higher, it implies that the firm can collect its account receivables sooner. To measure the profitability of the company, this study includes net income (profit for the year in Atriumfastighter’s annual reports), return on asset (ROA) and net profit margin (NM) as dependent variables. Net income equals the company’s net operating income minus financial expenses, depreciation, and taxes. As a ratio of net income to total assets, return on asset will increase providing a unit increase of total assets leads to no less than a unit of profit enhancement. Generally speaking, the higher ROA a company has, the more profitable it is. Net profit margin is defined as net income as a percentage of rental income. It is an indicator of a 24 company’s effectiveness of cost control; and it is also a good means of comparing companies in the same industry, which are subject to the similar business conditions. The higher the net margin is, the more effective the company is at converting revenue into actual profit. In the presence of economies of scale, NI, ROE and NM should provide the similar results, which is the profitability increasing with size. 3.3. Methods I test economies of scale for the retail property company and the shopping centre by examining growth prospects, revenue and expense measures, profitability ratios. Methods in this case study are regression analysis, trend analysis, and translog cost model. 3.3.1. Regression analysis Regression analysis in this study estimates the effect of firm size and cost control factors across multiple dimensions of profitability factors. In order to capture the possibility that firm cost and profitability factors follow the traditional U-shaped curve with respect to firm size, the study includes the logarithm of total capitalization into regression analysis. Using net profit to one of the measures a company’s profitability, the relationship between net profit and variables such as total assets, debt ratio is investigated by regression. NPi= a + blnAi+c(D/A)i+ei OAi= a + blnAi+c(D/A)i+ei NMi= a + blnAi+c(D/A)i+ei (4) (5) (6) Relationship between another profitability measure, return on assets, and the variables like total assets, debt ratio and inventory turnover is examined by regression too. NPi= a + blnAi+c(D/A)i+ d(S/IT)i + ei ROAi= a + blnAi+c(D/A)i+ d(S/IT)i + ei NMi= a + blnAi+c(D/A)i+ d(S/IN)i + ei (7) (8) (9) The last regression model adapted in this study investigates the relationship between the net profit margin and variables like total assets, debt ratio and receivable turnover, to test whether these variables impact on the efficiency of a firm’s cost control. NPi= a + blnAi+c(D/A)i+ d(S/ AR)i + ei ROAi= a + blnAi+c(D/A)i+ d(S/ AR)i + ei NMi= a + blnAi+c(D/A)i+ d(S/AR)i + ei (10) (11) (12) Where NPi: net profit for a firm at year i lnAi: logarithm of total assets of a firm or a shopping centre at year I (D/A) I: debt ratio of a firm or shopping centre. 25 ROAi: return on assets for a firm in year i NMi: net profit margin for a firm in year i (S/IN)i : inventory turnover for a firm in year i (S/AR)i : receivable turnover for a firm in year I 3.3.2. Trend analysis Trend analysis is a technical analysis practiced by stock market analysts to estimates future changes in value by investigating past market behaviours. Real estate analysts frequently use statistics to draw inferences about a general class of phenomena, studying data from the recent past to predict future occurrences. (Gaylon E. Greer and Michael D. Farrell, Investment analysis for real estate decisions, 2nd ed, New York: The Dryden Press, 1988, 520 and 81) Generally, trend analysis is on the inferred basis that the performance of the subject property will follow the past performance of other properties in its class. It might be misleading if the market is not stable due to random changes of demand or supply. Market potentials of the subject property such as its location and design are also important to lead to a right estimation. Although trend analysis is not a flawless method, I adapt it in this study because: 1. 2. 3. The research objective is not a collective of properties, but an individual property or firm. The time period is selected from 1996 to 2004, covering the main consolidations of Westfield Holding. (It would be better if the information of the market performance can be available at the corresponding period, since it might be inferred that the out-/underperformance of the subject is partly contributed by economies or diseconomies of scale. The estimation of the subject’s future development is not the final aim, while the focus is on how the subject performed in the past years due to the increasing size. Therefore, using time-series data from Westfield Holding’s annual reports, trend analysis here examines the trends on several measures to roughly estimate the past development pattern. These measures include size measures, performance measures and financing measures. For firms, total assets and shareholder’s equity are considered as size measures, and the asset under management is a measure of the firm’s operation size. While in shopping centre level, the size can be measured by both the market value of properties, gross leasable areas, number of tenants and number of anchor tenants. Here GLA follows the definition from Urban Land Institute, The portion of Total Floor Area designed for tenants' occupancy and exclusive use, including storage areas, department stores, and outparcel buildings owned by and leased from the center. It is the area that produces rental income. Another important term GFA should be distinguished. GFA refers to the total area of the covered floor space measured between the centerline of party walls, including the thickness of external walls but excluding voids. Performance measures for Westfield Group used in this study are the net profit, return on equity, earnings per share and dividend. In a corporative firm, one of the management tasks is to 26 maximize the shareholders’ return, so the return on equity defined as equity earnings as a proportion of the book value of equity shows that how well the managers fulfill this task. To observe how firms finance by debt and equity, I include debt ratios and debt/equity ratios in trend analysis, from which how a firm utilizes its leverage to magnify return on equity can be estimated. 3.4. Translog cost model As sources of scale economies, various costs associated with shopping center operation can be saved to serve the purpose of the shopping centers operating efficiency. The cost structure of shopping center industry is critical to explore scale economies. A cost can be divided into fixed costs and variable costs. An industry with a higher percentage of fixed cost tends to have higher degree of potential scale economies associated with costs. The fact that a cost could follow a stepwise pattern to increase as the size of shopping centers increases implies that the cost might increase dramatically after a certain threshold attained and the increasing return to scale disappears therefore decreasing return prevails or diseconomies of scale even occur further. As the cost elasticity with respect to output can be estimated to measure scale economies, a cost function should be specified. For shopping centers, the inputs are the total costs and the output is gross rents. In this study, a translog cost function is employed, and the total cost elasticity with respect to gross rents is calculated according to Takayami’s definition of IRS. 3.4.1. Data required The translog cost model is an input-output model running regressions cross a sample of observations. To get the reliable statistic results, data about the costs and gross revenues from shopping centers should be run in the model. Yearly publications Shopping Center Operations, Revenues and Expenses (SCORE) by ICSC include data since 2002 on operating expenses and rental income of 660 US shopping centers, of which 498 are open-air centers and 162 enclosed malls. The age of the shopping centers is also available. More than 50 enclosed malls should be included in a sample to run the regression of the translog cost model. Since the samples of centers in SCORE each year are not directly comparable to the samples in other years, observations in the sample should be selected with caution to have consecutive records of operating expenses and revenues cross a certain time period, say, from 2002 to 2006. Gross revenues Gross revenues are defined by ICSC as the total amounts billed to tenants, along with miscellaneous income, for the most recent 12-month period. Gross rents, which consist of the base rental charge and overage rental charge, and the expense recovery from tenants are the main 27 components of gross revenues. Other revenues such CAM management fees, marketing funds from tenants, and incomes from public telephone, vending machines or packing are also included. In this study, gross revenues are proxied as the output of the translog cost function for several reasons. First, profits for shopping center owners are derived from leasing space in the properties. Second, the market value or book value of shopping centers might be appraised at different time points or by different methods. The last reason is that GLA or GFA measures the physical output of shopping centers, but the heterogeneity such as quality, location and product type among shopping centers and within a shopping center is not recognized. For instance, location plays a vital role in determining the rent level of a shopping center; the city galleries can have as twice as regional center average rents. Gross revenues, GLA and GFA can be measures of property size. For retail property firms, gross revenues refer to the revenue generation capability, and GFA and GLA demonstrate a shopping center’s potential to generate revenues. In the shopping center industry, GFA and GLA are one of the critical standards to classify shopping centers, for instance, regional centers should have a GLA larger than 450,000 square foot, as is mentioned in Table 1. Cost structure of shopping centers Operating costs are the cost categories being analysed to investigate scale economies for shopping centers in this study, including common area maintenance expenses, utility expenses, general and administrative expense, insurance expenses, tax expenses and other expenses. As the size of shopping centers increases these costs respond to the change in different degrees. 1. Common area maintenance expenses (CAM) In shopping centers, about 50 per cent of the gross floor area is designed as common area, which is the commonly shared, public area within a shopping center such as hallways, vestibules, rest rooms, lobbies and atriums. CAM is the cost to maintain the shared interior areas and exterior area of a shopping center and it includes the costs of payrolls, employee benefits (taxes, workers’ compensation, pension contributions, etc.), service contracts and maintenance materials and supplies purchased for the center. CAM is always the largest component of operating costs and is customarily reimbursed by tenants as a part of rent payments. So shopping center managers are required to create a win-win situation for owners and tenants as the store margins are tighten and retail property profits decline. 2. Utility expenses Energy crisis soars the utility costs nowadays, and makes it to be one of the most expensive elements of shopping center’s costs. Retail tenants are required to purchase energy and 28 utilities such as electricity and energy for heating, ventilating and air conditioning (HVAC) directly from landlords in the form of part of rental payments, and thus create utility costs as a profit source for landlords. 3. General and administrative (G&A) expenses G&A expenses include all expenses related to the management of the shopping center, office staff, office supplies, office equipment rental expenses, management fees and professional services. 4. Tax expenses Expenses related to the taxation of shopping centers are defined as tax expenses here. Taxes based on payroll and income taxes are also included. Tenants recover parts of tax expenses of shopping centers. 5. Insurance expenses Shopping centres are exposed to risks of suffering catastrophe property lines like wind, storm, earthquakes, and being affected by terrorism. Insurance helps landlords and tenants minimize or transfer the risks of loss. The insurance can help shopping center owners and tenants to minimize or transfer risks of suffering catastrophe property lines like wind and earthquakes, and terrorism. Besides the insurance for the shopping center structure and equipment, which is always recovered by tenants, costs associated with insurance covering public liability, bonding of employees and insurance consultation are components of insurance expenses. 6. Other expenses The other cost elements that cannot be categorized into the above five cost components. They also have a big proportion of the total operating expenses. Concepts of breakdowns of the cost of American enclosed centers related to operation cost are shown in table 3. 29 Table 3 Percentage of cost breakdowns Items Cost breakdowns Common maintenance expenses Landscaping, housekeeping, system equipment maintenance, parking lot cleaning, sweeping and repairs, snow removal, trash removal, painting or minor repairs, roof repairs, security, elevators and other expense. Utility expenses Common area HVAC energy, tenant space HVAC energy, common area other utilities, and tenant space other utilities. G&A expenses Professional services, legal and audit expenses, on-site-payroll and benefits, management fee, bad debt allowance and other miscellaneous G&A expenses. Insurance expenses All premiums and costs incurred for insurance covering structures, public liability, rental values, equipment and bonding of employees and the cost of an insurance consultant. Tax expenses Real property taxes, personal property taxes, franchise taxes and the costs of real estate tax consultants. Other expenses Food court expenses, leasing fees and commissions, capital expenditures and annual attributions to Marketing or Media Fund. Factors affecting shopping center operation As one member of the retail property family, shopping centers are characterized as heterogeneous. Factors such as age of shopping centers, retail mix, proportions of anchor occupied areas, types of management and the ratio of GLA to GFA affect costs of shopping centers and can be included as variables in the translog function being introduced below. Retail mix defines a shopping center’s image and attracts the catchment population to the center. Selection of discount and fashion anchor retailers, the allocation of space to different merchandise categories, and the balance between franchise and independent tenants are main tasks of retail mixing. A variable accounting for the retail mix is included in the model, which is calculated as Hirschman-Herfindahl index (HHI) of the mixture of retail stores. HHI is a standard measure of market concentration in economics, and is widely used to analyse the diversification of property portfolios in real estate researches. A portfolio with higher diversification of property types has lower HHI value. HHI is calculated as following: 2 Retailindex=ΣSj , Sj is the proportion of the GLA allocated to the merchandise category j in a shopping center. Heterogeneous space allocation tends to create higher merchandise category sales than homogeneous space allocation. Therefore a shopping center with large retailers combined with small retailers tent to get more overage rents than one with retailers of relatively equal size. 30 There are three ways to manage a shopping center. Self-management and affiliate-management of properties are categorized as internal management, which is believed to generate more revenue than external management in REIT researches. Whereas, external management of shopping centers can avoid the losses resulting from a lack of comprehensive knowledge in both retail and retail property management in some less developed markets. 3.4.2. Translog cost function To correspond to a well-behaved production structure, the cost function must satisfy the following regularity conditions: continuity, symmetry, linear homogeneity in prices, monotonicity in prices and outputs, and concavity in prices. Satisfying the regularity conditions, the cost for a shopping center is written as a function of its gross revenues. The translog cost function can be approximated as following: 2 LnC = β0+βRlnR + 1/2βRR(lnR) + ΣβjXj + e (13) Where C is the total costs for a shopping center; R is the gross revenues of a shopping center; βis the regression coefficients; X is the characteristics of a shopping center that might impact the costs; and e is a random error. The cost elasticity with the respect to gross revenues is calculated according to the definition given by equation (2), Ec,R=MC/AC=(dC/dR)/(C/R)=(dC/C)/(dR/R)=d(lnC)/d(lnR) (14) Taking the first derivative of equation (7), and the cost elasticity with respect to gross revenuss is calculated, Ec,R= βR +βRR(lnR) (15) If the cost elasticity with respect to gross revenues is higher than one, it means that the costs increase faster than gross revenues, so diseconomies of scale exist. If the scale economies estimator, the reciprocal of the average elasticity cross the individual shopping centers, exceeds one, a scale economy exists, and vice versa. 31 4. Results 4.1. Results from regression analysis The regression results for Atrium are reported in Table 4, Table 5 and Table 6. All three regression models show that profitability is directly related to size, larger total assets bring more profits for the subject company. A statistically significant negative relationship between profitability and leverage is also found. The possible explanation is that a higher interest expense lessens the cooperate net profit in the same year, and also Atrium sets a equity-to-asset ratio no less than 0.3 as one of the corporate strategies to reduce the financial distress risk form a high debt ratio. Table 4. Regression results for Atrium Real Estate Dependent variables NP t Stat ROA t Stat NPM t Stat a lnA D/A -4340,15** 687,17** -23,57** -2,80 3,74 -4,41 -0,91** 0,15** -0,01* -2,85 3,88 -4,84 -4,12*** 0,72*** -0,03** -1,71 2,52 -3,74 Adj, R2 0,86 0,88 0,79 * Statistical significance at p=0.01, **Statistical significance at p=0.05, ***Statistical significance at p=0.10 Data limitations pose limitations on model building to include both inventory turnover and receivable turnover together other descriptive variables in one model. It should be noticed that the inclusion of either inventory turnover or receivable turnover generally improves R-square value of the models. Table 5. Regression results for Atrium Real Estate Dependent variables NP t Stat ROA t Stat NPM t Stat a lnA D/A S/IN -3987.29*** 634.33** -23.45** 3.26 -2.29 3.02 -4.03 0.83 -0.80* 0.13* -4.98 6.75 -9.84 2.72 -3.43 0.62** -0.03** 0.01 -1.65 2.46 -4.43 1.36 -0.01* 0.001*** Adj,. R2 0.84 0.97 0.85 * Statistical significance at p=0.01, **Statistical significance at p=0.05, ***Statistical significance at p=0.10 Table 5 shows results from the regression model with lnA, D/A ratio and inventory turnover as independent variables. This regression finds that ROA and inventory turnover are positively 32 related, indicating that the real estate corporate has lower inventories enjoy higher return on assets, while inventory turnover rate is not statistically significant when it comes to dependent variables NP and NPM. Positive coefficients for receivable turnover are found statistically significant in Table 6, which implies that a higher accounting receivable management helps improve the profit margin. Also higher R-square value got in this regression model tend to indicate the necessity of addition of receivable turnover, but this explanation should be cautioned due to the limited sample size and short time series. Table 6. Regression Results for Atrium Real Estate Dependent variables NP t Stat ROA t Stat NPM t Stat a lnA D/A S/RE -3779.73** 573.14** -17.55** 23.08** -3.82 4.56 -4.00 2.07 -0.78* 0.12* -0.004* 0.01* -22.27 27.21 -25.52 13.35 -3.17** 0.53* -0.02* 0.04* -4.37 5.74 -6.51 4.77 Adj,. R2 0.95 0.999 0.98 * Statistical significance at p=0.01, **Statistical significance at p=0.05, ***Statistical significance at p=0.10 4.2. Results for Trend Analysis Graph 1 shows the trends in total assets and equity, both size measures rose about threefold in similar growth patterns respectively from 975 million dollars in 1996 to 3,021 million dollars in 2004 and from 374 million dollars to 1,347 million dollars. The tremendous ascendance witnessed in 2000 can be partly attributable to the acquisitions of shopping centers in UK. The average number of shops in each shopping center increased from 144 to 163 between 1997 and 2004, and the average square meters of shopping centers under Westfield Holding’s management expanded from 60,606 M2 to 79032 M2 with an asset value spread of 116 million dollars in the same time span. It is indicative of an economic concentration in shopping center industry that both the asset value and area of shopping centers tend to be larger than ever before. A message from Table 7 that the average store area is increasing tells a trend that retailers seek higher sales from a large store area. Westfield Holding strengthens the profitability steadily and net profits increased from 18.2 million dollars in 1988 to 328.5 million dollars in 2004 (Graph 3). Year 2001 saw an upswing of earnings net profits, which is coincident with the tremendous expansion of its total assets in 2001. Graph 2 indicates that earnings per share and dividend per share have registered the similar growth pattern with the net profits. Shareholders receive a steadily increasing stream of dividends. Overall, these results suggest that the company’s profits have generally kept pace with increase in size variables over the time span studied. Graph 4 shows that ROE has experienced fluctuations since 1998, and seems to indicate that the company has an instable performance, partly due to the irregular increase of equity during the 33 time period studied. Simply considering ROE, the company has not achieved higher returns for shareholders as it is getting larger. The financing leverage has fluctuated around 0,6 since 1996 (Graph 5), indicating Westfield follows a relatively stable financing policy as the firm size increases. Table 7. Trends of average size measures Of each shopping center. Average square Average No. of Average Year meters tenants Average store area asset SQM value 1997 60606 144 179 421 1998 69231 146 192 474 1999 70000 149 209 471 2000 68966 148 241 465 2001 69767 153 280 455 2002 75229 151 289 497 2003 75652 152 276 497 2004 79032 163 294 485 Graph 1- Trend analysis Size measures 3500 3000 Million dollars 2500 2000 Total aseet Equity 1500 1000 500 0 1996 1997 1998 1999 2000 2001 2002 2003 2004 Year 34 Graph 2- Trend Analysis Performance measures EPS and DIV 70 60 Cents 50 40 EPS DIV 30 20 10 0 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 Year Graph 3- Trend Analysis Performance measures Net profits 350 Million dollars 300 250 200 150 100 50 0 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 Year 35 Graph 4-Trend Analysis Performance measures ROE and ROA 30,00 Per cent 25,00 20,00 ROE ROA 15,00 10,00 5,00 0,00 1996 1997 1998 1999 2000 2001 2002 2003 2004 Year Graph 5-Trend analysis Financing measures 2,5 Ratio 2 1,5 D/A D/E 1 0,5 0 1996 1997 1998 1999 2000 2001 2002 2003 2004 Year 36 4.3. Remarks of possible results for translog cost model The scale economy estimator for the shopping center industry can be calculated as the reciprocal of the average elasticity with respect to gross revenues of each sample shopping center. For individual shopping centers, the cost elasticity with respect to gross revenues can be broken down into various cost elasticity components; they are CAM cost elasticity with respect to gross revenues, utility expense elasticity with respect to gross revenues, tax expense with the respect to gross revenues, insurance expense elasticity with respect to gross revenues, and other expense elasticity with respect to gross revenues. CAM is the largest operating expense and is customarily recovered by tenants, but these expenses are not simply a pass-through for the landlords, it requires the shopping center owners to control CAM and utility expenses that are also reimbursed by tenants to make a win-win situation. A stronger bargain power of a larger shopping center to negotiate better deals such as cleaning service could lead to scale economies. If the CAM expense elasticity with respect to gross revenues is lower than one, shopping centers could achieve benefits by efficient CAM and utility management. G&A expenses are likely to follow a stepwise increasing pattern as shopping centers expand. For instance, a shopping center may not need an additional employee until its size attains certain point, the same would happen to office spaces and professional fees paid to professional services. Bers Martina and Thomas Springer (1998) find that G&A expense are the best source of scale economies for REITs. Though it remains unknown for shopping centers due to few researches in this respect. Insurance expenses are very likely to be the source of economies of scale for big shopping centers. Generally speaking, a larger shopping center has a better statue to negotiate for favorable insurance contracts, and thus it will take benefits as the center size increase. It is difficult to estimate whether there are scale economies associated with the savings of other expenses without statistical results. For example, marketing, a miscellaneous aggregation of this category, is not only regarded as a cost of operating shopping centers but also believed as an investment with measurable returns to affect leasing, to increase market share and to expand market. 37 5. Conclusion One of the main driving forces behind the consolidation in the real estate industry is the belief that larger operating companies are able to improve profit margins by increasing revenues and lower expenses. Real estate researchers debate around whether economies of scale occur for the real estate industry, and the literatures revealed some mixed results. Regression analyses of financial ratios of Atrium Real Estate Company provide evidence that the individual company could make more profits and be more efficient in management as its size increase. Trend analyses of data from Westfield Holding have some mixed results about the effect of the size on the profitability of the subject company, and at the meanwhile reveal that the average asset value and area of shopping centers increase a lot from 1997 to 2004. The average store area increases by about 60 square meters in eight years, implying that higher retail turnovers could be generated from larger business areas. Finally, the remarks of translog cost analysis indicate that CAM expenses are the largest potential source of scale economies for shopping centers, and larger shopping centers are most likely to gain benefits from insurance expense savings. Further researches on economies of scale for shopping centers could be conducted from the following two respects: (1) Research within the confine of property management of shopping centers. To investigate economies of scale occurring for shopping center owners as a result of the increasing operating size, the cost structure analysis and revenue analysis could be adopted, and the translog cost function and the data envelopment analysis are the alternative techniques. (2) Research across borders of the property sector and retail sector. A widely accepted measure of a shopping center’s performance is how much the retail revenues are generated within the shopping center. By enhancing the retail performance of shopping centers by the reasonable retail mix and promoting retail image, shopping center owners could increase profit margins through the overage rental leasing with non-anchor tenants. 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