2010 International Conference on Management Science & Engineering (17th) November 24-26, 2010 Melbourne, Australia Research on Optimal Strategy of Engineering Materials Procurement Based on Supply Chain Financing LI Fei-xiang,XU Chang-xin Business School of Hohai University, P.R.China, 210098 Abstract:Under the general contracting pattern, the construction enterprises obtain the right of procurement, but they face both financing constraints and risks of material price volatility at the same time. Supply chain financing provides a reliable way to solve this problem. In this paper, we first design the supply chain financing procurement pattern for the construction enterprises based on Finance Transportation and Warehouse (FTW). We then develop a Stackelberg game model between the construction enterprises and the third party logistics enterprises under uncertainties. Uncertainties such as price, demand and financing constraints are all considered in the proposed model. After that, we discuss the construction enterprises' optimal strategy under the prerequisite that the construction enterprises must repay the loan. The optimal quantity of the purchased and pledged engineering materials are all solved. Keywords: engineering materials procurement, optimal procurement strategy, supply chain financing, stackelberg game model 1 Introduction As we all know, engineering materials procurement is an essential part in project management and it is critical for the cost controlling, which directly determines the economic benefits of the project. With the development of engineering industry, the EPC Pattern has become the mainstream, it is a contracting system which aims at delivering products and services to the proprietor, making the overall implementation and arrangement of the whole concept of the project. This pattern requires the construction enterprises to have strong financing ability, however, China's construction enterprises only have little funds which can not meet the needs in large-scale EPC projects. Meanwhile, the credit of China’s banks to construction enterprise is low, and the approval process is complex, the financing problem of construction enterprises has become a bottleneck during the process of carrying out the EPC. Therefore, how to purchase materials under financing constraints is a urgent problem to solve. This article will introduce the idea of Finance Transportation and Warehouse (FTW), which was proposed by Luo Qi, Zhu Daoli (2002), to solve the problems of engineering materials procurement under the financing constraints. This paper is structured as follows: the first part is the literature review of the construction supply chain and FTW, second part designs the supply chain financing procurement pattern for the contractor based on FTW, the third part sets up the stackelberg game between the construction enterprises and the third party logistics enterprises to analyze the optimal procurement and pledge quantity under the condition that the construction enterprises must repay the loan, the fourth part is the conclusion and outlook. 2 Literature review Engineering materials procurement belongs to the category of architecture supply chain, foreign scholars’ researches on construction supply chain management began in the mid 90s of last century, Voordijk submitted PhD thesis titled "Toward integrated logistics in supply chains: developments in construction" in 1994, marking the beginning of construction supply chain management studies[1]. California Berkeley held the seventh IGLC (International Group of Lean Construction) annual meeting in 1999, the construction supply chain management was listed as one of the themes IGLC years officially, the construction supply chain management has been concerned by more and more people. Vollman, Vrijhoef, Cheng, Love etc. explored the concept and characteristics of the construction supply chain in-depth[2-5]. London and Kenley, O'Brien did some in-depth research on the construction supply chain by using the theories of industrial organization, industrial economics, integration of transaction cost economics, production and operation management[6-8]. Vrijhoef proposed an extended a theoretical framework about building inter-organizational relationship in construction supply chain[9]. London, New, Cox, Maqsood and Akintoye etc. generally agreed that the construction supply chain research should be focused on the development and management of mutual relationships between organizations[10-11]. Combined with the specific characteristics of the construction industry, they concluded that the successful implementation of relationship management is the key factor of the - 1688 978-1-4244-8119-4/10/$26.00 ©2010 IEEE construction supply chain management. Researches on construction supply chain management has just been started, it is worth mentioning that Zhao Shuang[12] proposed an engineering materials procurement pattern under the supply chain environment (multi-joint procurement pattern, third party logistics pattern, real time purchase patter). Li Jiapeng[13] put forward some ideas , methods and optimization measures to improve the material procurement management. From the supply chain management perspective, combining with the characteristics of the construction projects, Liu Yang [14], Yan Kexin[15] established construction supply chain models in the DB and EPC patterns, and discussed methods of the construction supply chain management. To solve the problems of financing in the supply chain, Luo Qi and Zhu Daoli[16], who were from Department of Management Science in Fudan University, innovatively put forward the conception of FTW. After comparing with other financing channels, Zhen Shaoqin[17] thought that the SMEs could be more proactive in FTW pattern. Wang Zhi[18] compared conceptions of FTW and material bank. He also divided the operational mode of FTW into three categories: C-J mode, C/J/S mode, C/JF mode. Su Dan[19] and Liu Xuan[20] discussed how to provide the third-party logistic innovative services cooperated with the financial institutions. Li Jing[21], ZHANG Yuhua[22], Gong Yan[23] paid special attention to the applicable conditions and limitations of the FTW. Ying Wenyao (2006) and some others applied the principles of systematic dynamics to analyze the FTW’s effect on solving the financing constraints of the enterprises and its impact on the overall performance of the supply chain. Xu Peng[24] used the principal-agent theory to study the balance of the inspiration and supervision on the third-party logistics from the banks. All these papers provided the basis for this study. Currently, most researches on the FTW are about the establishment of the general pattern, without considering the characteristics of specific industry. Although many scholars have done some in-depth study on the construction supply chain, researches on the FTW are not enough deeply. 3 Supply chain financing pattern design of engineering material procurement As the FTW pattern can solve the problem of financing constraint of the construction enterprises, this study will design a supply chain financing pattern based on the FTW. It is an integrated and unified management and comprehensive coordination of the finance, transportation and warehouse. "Finance" refers to financial, "Transportation" means the logistics, and "warehouse" refers to the storage of the materials. Therefore, the engineering materials procurement FTW pattern services the construction enterprises based on construction materials flowing. It is a comprehensive service platform covering credit integrating and reengineering, logistics, e-commerce and traditional commerce. It is an integrated management innovation of logistics, information flow and cash flow. 3.1 The choice of collateral materials in FTW General FTW consists of three basic elements: collateral materials, pledge platform and pledge relationship. The collateral materials are pledged for financing, that is, the enterprise's products or semi-finished products. It is a prerequisite for obtaining financing. The construction enterprises should make full use of their advantages to choose suitable materials. In the engineering materials purchasing process, the specific principles are as follows: 1) In the pledging period, the price should be stable relatively; 2) Qualities of the materials should not change with time; 3) The ownership and legitimacy of the materials should be clear and unambiguous; 4) Select scarce resources as collateral materials as possible. In short, the selection criteria should be identified as the property is stable, non-perishable and difficult to wear and tear, small fluctuations of the market price, such as black metals and non-ferrous metals. The resources which are scarce and related to people's livelihood are the ideal collateral materials. According to the above analysis, what general engineering material can be seen as collateral materials is shown in Table 1. Tab.1 Suitability of the materials for pledging Material Type Cement Brick sand Paints, coatings Wire & Cable Hardware material Waterproof fireproof insulation corrosion Air-conditioning equipment Intelligent materials Telephone, TV system Mechanical & Electrical equipment Steel and nonferrous metals Doors, windows Kitchen & Bath equipment Pipe fittings Decorative materials Electrical materials Fire equipment Acoustic insulation materials Lighting fixtures & accessories Landscaping 0 means not suitable for pledging, 1 means suitable for pledging very much - 1689 Suitability 0.9 0.3 0.9 0.95 0.7 0.6 0.1 0.3 0.6 0.1 0.95 0.4 0.8 0.85 0.5 0.3 0.3 0.2 0.1 0 3.2 Pledge platform and pledge relationships Pledge platform is the institution or the combination of institutions to achieve activities of FTW, such as banks, third party logistics enterprises (TPL) and so on, and to ensure the efficiency of FTW. Pledge relationships are relationships among the enterprises which needs financing, the institution which provides FTW service (such as third party logistics, etc.), and the financial institution which provides financing. An engineering material procurement FTW platform is comprised by the logistics enterprises, the financial institutions and the construction enterprises. In this study, procurement of engineering materials FTW pattern has been designed, shown in Figure 1. Fig.1 The FTW pattern of engineering materials procurement In this pattern, the banks give credit to large-scaled logistics enterprises intensively according to the strength of the large logistics enterprises, and the third-party logistics enterprises, as the agents of the banks, can provide Chattel Mortgage services to construction enterprises within the credit limit given by the banks. Therefore, the logistics enterprise is the core of the model, the third-party logistics enterprises provide logistics services and asset management services (monitoring, auction, etc) of collateral property (movable property), while, the construction enterprise is the demander of the construction supply chain FTW. Pledge relationships among them mainly formed by the following agreements: "Concentrated Credit Agreement" between banks and large-scale logistics enterprises, "Credit Agreement" between the large-scale logistics enterprises and construction enterprises, "Chattel Mortgage Agreement" and "Storage Control Protocol". The specific operation steps of this pattern are as following: 1) The third-party logistics enterprise requests the loan from the bank and pay the amount margin of the loans depending on its own resources and credibility, by means of the "Total Logistics Services Agreement" and the "Tripartite Agreement". 2) The banks investigate the credit of the third-party logistics enterprise, weigh the building sales prospects, then loan to the third-party logistics enterprises after receiving the margin. 3) The construction enterprises pay a little margin to the third-party logistics enterprise, in order to confirm that the third party logistics enterprise will transport the materials. 4) The construction enterprise makeS up the initial procurement plan according to the current and future needs of the project materials and material market price trends. 5) The third-party logistics enterprise transports part of materials purchased (warehouse receipts notes) to the warehouse timely and adequately, reports the banks for the record after counting and checking the number, then the materials, bills and other articles become pledge. 6) The third-party logistics enterprise is responsible for transporting the residual materials to the project site timely and adequately to ensure that the construction enterprise will start the construction on schedule. 7) The construction enterprise gets loans through pledging part of the materials and warehouse receipts bills. 8) The construction enterprise uses the loan to purchase more materials again to meet the construction needs continuously. 9) The third-party logistics enterprise sends the materials purchased again to the construction site. 10) After receiving the project income, the construction enterprise repays the loan principal and interest and service costs, at the same time, the pledge is removed. 11) The third-party logistics enterprises return the net to construction enterprise after deducting the bank charges and the full logistics service agency fees. 3.3 Economic utility analysis of the construction supply chain FTW The purpose of construction supply chain FTW is to use capital flow to revitalize the logistics, or use the logistics to pull capital flow. Therefore, the construction enterprises, banks and the third-party logistics enterprise can all find their points of interest to achieve win-win situation through the construction supply chain FTW. 1) Interests of the construction enterprises The primary function of the construction supply chain FTW is to provide a new financing channel for the construction enterprises under the construction general contracting. Secondly, it can improve the credit rating of these construction enterprises to get increased and more convenient credit. In addition, the construction enterprises can get efficient and professional logistics services, which can bring more economic interests to the construction enterprises. 2) Interests of the banks For the banks, carrying out construction supply chain FTW business, firstly, can widen the clients and expand the credit scale; Secondly, it help the banks to obtain professional service, saved coordination and monitoring time and reduced credit transaction costs. As well, it can divert the credit risk. 3) Interests of the third-party logistics enterprises - 1690 For the third-party logistics enterprises, conducting construction supply chain FTW business can bring more business, more stable customers to the third-party logistics enterprises, expand the variety and scale of logistics services of third-party logistics enterprises, create more value-added services, and improve the competitiveness of enterprises. 4.3 Stackelberg game model 4.3.1 Profit function of the bank Although we have assumed that the construction enterprise must repay the loan, it is necessary to discuss the loan ratio. The specific discussion is showed in table.2. Tab.2 4 Game analysis of engineering materials procurement based on the construction supply chain FWT Repay or not 4.1 Description of the problem There is a construction enterprise which has a cash flow m0 used for the procurement of a seasonal material. The material procurement price is c, the material price in the contract is quoted at p, the handling price of the unused material is c1, the penalty price when the material is in short supply is c2, and c2> p> c> c1. Initial proposed procurement is q1, that cq1=m0, then the number of the material which will be pledged to the third party logistics enterprise for loans is q2, the number of the loans is tcq2 (where, 0 ≤ q2 = kq1 ≤ q, 0 ≤ k ≤ 1; t as the loan ratio, 0 <t <1), thus the enterprise can buy the q3 materials at the price of c again (where cq3 = tcq2). The problem is that the enterprise can not exactly know the future demand of the materials, so it is not sure that how many materials should be pledged and how many materials should be purchased. This section will use the Stackelberg game model to analysis the optimal procurement strategy in the construction supply chain FTW pattern. Repay 4.2 Hypothesises of the model 1) There are only three parties involved in FTW: the bank, the construction enterprise, the third-party logistics enterprise. The bank and the logistics enterprise are principal-agent relationship. In the pledging process, the bank entrusts the logistics enterprise to participate in the assessment, monitoring, auction business and so on. Also in this section we assume the pledge is static. 2) The logistics enterprise ensures that the pledged materials always can be sold at the fist time and the highest price to make minimum loss when the construction enterprise defaults. 3) The construction enterprise does not know the future demand of the material, only know that it obeys a probability distribution. The demand of the material x obeys the uniform distribution of [0, D]. Therefore, the distribution function: F (x) = x / D, the density function: f (x) = 1 / D. 4) The bank takes the initial purchase price for the assessment of the pledge, loan rate is α, deposit interest rate is α', the term of the loan is T, where α, α' are the annual interest rates, supposing that simple interest is accrued for convenient analysis. 5)The construction enterprise must repay the loan. Discussion on the loan ratio The future demand for the material x x≥q1+q3 π1=p(q1+q3)-cq1-tcq2(1+αΤ)-c2[x-(q1+q3)] 0≤x<q1+q3 π2=px+c1(q1 +q3-x)-cq1–tcq2(1+αΤ) x≥q1+q3 π3=p[q3+(1-k)q1]-cq1-c2[x-(q1+q3)] Not repay kq1<x<q1+q3 π4=p(x-kq1)+c1(q1 +q3-x)–cq1 0≤x≤kq1 π5=c1[q3+(1-k)q1]-cq1 π1-π3≥0, π2-π4≥0 t ≤pkq1/cq2(1+αΤ)=p/c(1+αΤ) Repay conditions π2-π5≥0 p x + c1 ( kq 1 − x ) = t0 cq 2 (1 + α T ) t≤ ⎡ c1 p ⎤ t0 ∈ ⎢ , ⎥ c T c 1 1 α αT ) ⎦ + + ( ) ( ⎣ The above analysis shows that: when the demand x∈(kq1, +∞), the repayment condition is t ≤p/[c(1+αΤ)]. When the demand x∈[0, kq1], if t ≤mint0 =c1/ [c(1+αΤ)], the construction enterprise is sure to repay the loan. Therefore, when the demand x∈[0,+∞), the construction enterprise must repay the loan on the condition that t≤c1/[c(1+αΤ)]. So, the profit function of the third party logistics enterprise is as follow: πb=tcq2(1 +αΤ)-tcq2(1+α′Τ) (3.1) 4.3.2 Corporate profit function When the construction enterprise knows that the range of the loan ratio t≤c1/[c(1+αΤ)], it will be sure to repay the loan. Therefore, the construction enterprise will have the number q1+q3 materials, it’s expected profit of the construction enterprise is as follow: +∞ ⎧ ⎡ ⎤⎫ Eπ = ∫q +q ⎨ p⎜⎛ q + q ⎟⎞ − cq − tcq (1+αT ) − c ⎢x − ⎜⎛ q + q ⎟⎞⎥⎬f ( x) dx e 1 2⎩ ⎝ 1 3⎠ 1 2 2 ⎣ ⎝ 1 3 ⎠⎦⎭ q +q ⎧⎡ ⎤⎫ +∫01 2 ⎨⎢ px + c ⎜⎛ q + q − x ⎟⎞ − cq − tcq (1+αT ) ⎥⎬f ( x) dx 1⎝ 1 3 ⎠ 1 2 ⎦⎭ ⎩⎣ ∫ +∞ f ( x )dx = 1 − ∫ q1 + q2 xf ( x )dx = μ − ∫ q1 + q3 q1 + q2 ∫ +∞ q1 + q3 0 0 f ( x )dx (3.3) xf ( x )dx (3.4) where μ is the mathematical expectation. - 1691 (3.2) Take equation (3.3) and (3.4) into equation (3.2), we can transform equation (3.2) as: Eπ e = p ( q1 + q3 ) − cq1 − tcq2 (1 + α T ) + c2 ( q1 + q3 ) q +q (3.5) − c2 μ − ( p + c2 − c1 ) ∫ F ( x )dx 0 1 3 From the question and hypothesizes, we know that cq1 =m0, q2 =kq1, cq3 =tcq2,so we can change (3.5) into the functional form expressed by k: Eπ e ( k ) = p(1 + tk ) m0 m − m0 − tm0 (1 + α T )k + c2 (1 + tk ) 0 c c − c2 μ − ( p + c2 − c1 ) ∫ (1+ tk ) 0 m0 c (3.6) F ( x )dx 4.3.3 Stackelberg game The third party logistics enterprise is in dominant position in FTW. First, the enterprise gives the construction enterprise a certain loan-value ratio to maximize it’s own profits, and then the construction enterprise will determine the optimal procurement quantity and the optimal amount of pledged materials q2, according to the loan-value ratio. This process can be seen as the Stackelberg game model, and the Stackelberg game model is generally solved by using the backward induction method. This section will use the backward induction method. First consider the optimal choice of the construction enterprise when loan-value ratio is given. Second the third party logistics enterprise determines the optimal loan-value ratio on the basis of the construction enterprise’s optimal decision. 1)Optimal choice of the construction enterprise According to equation (3.9), we can get the first and second order conditions: ∂Eπe ( k ) ptm0 (1+ tk)tm02 c mt (3.7) = − tm0 (1+αT ) + 2 0 − ( p + c2 − c1) ∂k c c Dc ∂ 2 Eπ e ( k ) ( p + c2 − c1 )t 2 m02 (3.8) =− <0 ∂k 2 Dc 2 There is a maximum expected profit from equation ∂Eπ e ( k ) = 0 , from equation (3.7), we can know (3.8), make π b = (α − α ' )T From the formula (3.11), we can obtain that expected profit of the third party logistics enterprise is a constant. Therefore, in order to assure the construction enterprise to repay and get the profit πb , the third party logistics enterprise only need to maintain the loan-value ratio at k= Dc[ p − c (1 + α T ) + c2 ] − ( p + c2 − c1 )m0 (3.9) ( p + c2 − c1 )tm0 Then the construction enterprise’s optimal amount of pledged materials q2=kq1, and m q1 = 0 c ; the optimal m procurement quantity is q1 + q3 = q1 + tq2 = 0 (1 + tk ) . c 2)The best choice for the third party logistics enterprise After the third party logistics enterprise predicts the construction enterprise will apply for loans tcq2, the enterprise’s problem is that: max π b = tcq2 (1 + α T ) − tcq2 (1 + α 'T ) (3.10) = tcq2 (α − α ' )T = m0 (α − α ' )Ttk Under the assumption that the construction enterprise must repay the loan, so the loan-value ratio must be in the certain range: t ≤c1 [c(1+αΤ)]. Take equation (3.9) into equation (3.10), we can get: . The optimal amount of pledged materials when the construction enterprise definitely repays the loan is solved as follow: Dc[ p − c (1 + α T ) + c2 ] − ( p + c2 − c1 ) m0 q2 = kq1 = c ( p + c2 − c1 )t . As the construction enterprise's pledge rate k ∈ [0,1], so that: k= Dc[ p − c(1 + α T ) + c2 ] − ( p + c2 − c1 )m0 ≤1 ( p + c2 − c1 )tm0 , Then the loan-value ratio should be as follow: t≥ Dc[ p − c (1 + α T ) + c2 ] − ( p + c2 − c1 ) m0 ( p + c2 − c1 )tm0 . From the above, we know that the third party logistics enterprise should not only set the maximum of the loan-value ratio in order to ensure the construction enterprise’s repayment, but also set the lower limits of the loan-value ratio to ensure the construction enterprise have enough materials to pledge. Therefore, the loan-value ratio of the third party logistics enterprise should meet the requirements as follows: t ∈[ Dc[ p − c (1 + α T ) + c2 ] − ( p + c2 − c1 ) m0 c1 , ] ( p + c2 − c1 )tm0 c (1 + α T ) . 5 Conclusions and outlook Under the general contracting pattern, to solve the problem of financing constraints, this paper has designed the supply chain financing procurement pattern for the construction enterprises based on (FTW), then developed a Stackelberg game model between the the construction enterprise and the third party logistics enterprise under uncertainties. At last, it gives the construction enterprise's optimal procurement strategy under the prerequisite that the construction enterprise must repay the loan. The optimal quantity of purchased and the optimal quantity of pledged are all solved. 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