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^edera/reserve la n /z c/eveland ECONOMIC REVIEW Additional copies of the ECONOMIC REVIEW may be obtained from the Research Department, Federal Reserve Bank of Cleveland, P. O. Box 6387, Cleveland, Ohio 44101. Permission is granted to reproduce any material in this publication providing credit is given. AVERAGE FUNCTIONAL COST AND REVENUE FOR BANKS IN THREE SIZE CATEGORIES, 1966-1969 Since the mid-1960's, most Federal Reserve Banks have offered a Functional Cost Analysis (FCA) program w ithout charge to member banks.1 FCA is a uniform cost accounting system designed to be a bank management tool and implemented jo in tly by the sponsoring Federal Reserve Bank and the participating commercial banks. The commer cial banks supply certain income, expense, balance sheet, and activity data to the Federal Reserve Banks; in return, they receive an analysis of their own income and costs, broken down by function or activity, along w ith compar ative data fo r a group of similar banks. In the FCA program, IN THIS ISSUE as in other Federal Reserve data collection activities, individual bank data are considered confidential; thus, group averages and other techniques are used to avoid Average Functional Cost and disclosure. Revenue fo r Banks in 1 Three Size Categories, $10 billion. The program was made available in all twelve Federal 1966-1969 ................ 3 Participation is limited to member banks with assets of less than Reserve districts, beginning in 1970. In the Fourth District, this program is administered by the Bank Relations and Public Informa tion Department, Federal Reserve Bank of Cleveland. ECONOMIC REVIEW As an aid to bank management, the Federal banks, investments, and loans (instalment, real Reserve publishes cost and revenue figures fo r the estate, and commercial and agricultural) constitute participating banks in three different size cate the uses of funds. The classification of activities gories as well as similar data fo r a select group of into funds-supplying and funds-using categories high performance banks. Although the primary permits the calculation of an average cost of purpose of the FCA program is to provide partici money rate3 and an average portfolio yield. These pating commercial banks w ith a uniform cost calculations, in turn, assist the participating bank accounting system fo r major banking functions in the evaluation of the net pro fitab ility of each and improving their banking function. The earnings of a funds-using performance of function are determined by subtracting the cost of different size banks is of more general interest. money and the operating cost from the gross thereby operational Accordingly, assist them efficiency, this article in the together and income o f the particular function. Similarly, the summarizes the average FCA data published by the draws earnings of a funds-supplying function are equal to Federal Reserve fo r the three size categories. The the difference between the average portfolio yield data were derived from the individual reports of all and the expenses of the funds-supplying function. participants for 1966-1969— period in which the a Thus each funds-using function is charged the data form at was basically unchanged. Emphasis is same cost of money rate, and each funds-supplying placed on the differences in the functional cost function is credited w ith the same gross yield. and revenue experience of different size banks and In addition to the analysis of individual fundssupplying and funds-using functions, FCA also changes in those differences over time. generates statements of overall earnings, personnel THE FUNCTIONAL COST ANALYSIS PROGRAM AND DATA productivity and cost, and a breakdown o f costs and income fo r three auxiliary bank service depart Inasmuch as the correct interpretation of FCA ments that are considered to be neither funds- data requires some understanding of the concepts using nor funds-supplying: computer services, trust and general approach employed by FCA, it is departments, and safe deposit operations. necessary to begin w ith a brief introduction to the The Nature of the Data. The FCA national program. A note of caution concerning the lim ita average reports distinguish three bank size cate tions of the data is also appropriate. gories: total deposits up to $50 m illion (Class 1), The Framework of FCA. The Functional Cost Analysis commercial total deposits of $50-$200 m illion (Class 2), and a total deposits over $200 m illion (Class 3). Each bank in terms of funds-supplying annual FCA report fo r the years 1966 through program views the operation of Demand 1969 contains average information (such as an deposits, time deposits, non-deposit liabilities and average balance sheet, a statement of source and capital2 are sources of funds; cash and due from distribution of income, and a cost-revenue analysis functions 2 and funds-using functions. In the FCA approach, all nondeposit funds are included 3The cost of money is the sum of operating and interest in capital accounts. Net capital, a frequently used FCA costs of all funds-supplying functions less any service concept, charge or other fee income. In the FCA program, it is refers to total nondeposit funds less bank premises and other fixed assets. 4 used principally as a percent of available funds. APRIL 1971 of the various bank functions) fo r these three size (largest size) bank. The superior record of the classes. The published figures are computed by Class 2 bank, when compared w ith aggregating the reports of the.individual banks in a resulted from a lower cost per dollar of available Class 1, particular class and then dividing by the number of funds, a factor that outweighed the lower gross banks in the class, even though all banks in the portfolio yield of the Class 2 bank. The perfor program do not maintain all functions. During mance of the Class 3 bank was found to have been 1966-1969, the average number of banks in each adversely affected by a generally lower income per class was: Class 1, 710; Class 2, 227; and Class 3, dollar of available funds that was not sufficiently 80. The FCA figures, therefore, obviously refer to offset by lower costs. a fictional bank; the balance sheet, functional The data also indicate that the relative p ro fit earnings, and expenses correspond to the average ability of various bank functions differed fo r the reported fo r the class. An analyst should not, three therefore, impute the characteristics o f the average 1966-1969, the highest net earning loan function bank classes. Over the entire period bank to individual members o f the class. In order (per dollar of invested funds) at the Class 1 bank to keep this point consistently before the reader, was instalment lending; whereas commercial and the average FCA figures w ill be discussed as agricultural lending tended to be among the least relating only to the Class 1 bank, the Class 2 bank, profitable. Commercial and agricultural lending, and the Class 3 bank. however, was the highest net earning loan function Generalizations about the entire banking system (per dollar of invested funds) at the Class 3 bank from the experience of the average FCA banks in 1969. The data also indicate that the unit of should also be tempered by the understanding that output is important in determining which bank participation in the Functional Cost program is class had the lowest average cost fo r any function. voluntary. The participants do not constitute a For example, in 1966-1968, the Class 3 bank had random sample of all commercial banks. the lowest cost of demand deposits in terms of the It should also be noted that, for a given year, cost per dollar of such deposits, but the highest there are only three observations from which to cost infer relationships between cost or revenue and processing a deposit or clearing a check. per unit of account activity, such as size. Finally, the foreword to the FCA National Average Report warns: "Bank cost accounting is not an exact science." For example, some subjective judgment is required in the allocation of BANK SIZE CLASS AND EARNINGS, INCOME, AND EXPENSE For 1966-1969, the Class 2 bank consistently cost to various functions. achieved the highest earnings (gross income less SOME GENERAL FINDINGS expenses before taxes) per $1,000 of available Given their limitations, the FCA data patterns are still o f interest. The data show that, during funds. The Class 1 bank was second; and the Class 3 bank, third (see Table I). 1966-1969, earnings per dollar of available funds Total (gross) income and total expenses are also (the sum of loans and investments plus cash and shown in Table I to provide an indication of the due from banks) were highest fo r the Class 2 relative contribution of each to earnings. These (intermediate size) bank and lowest fo r the Class 3 data indicate that the higher earnings performance ECONOMIC REVIEW TABLE I Income, Expenses, and Earnings per $1,000 of Available Funds Averaged fo r Banks in Three Size Categories 1966-1969 Banks With Deposits up to $50 Million Banks With Deposits $50 Million to $200 Million Banks With Deposits Over $200 Million (Class 1) (Class 2) (Class 3) $56.25 $54.99 $52.82 39.21 17.04 37.03 17.96 36.26 16.56 58.76 56.73 55.11 41.48 17.28 38.92 17.81 38.17 16.94 62.65 61.25 61.10 43.65 19.00 40.95 20.30 42.27 18.83 68.46 67.45 68.22 46.60 21.86 44.52 22.93 47.47 20.75 1966 Total available funds income Total available funds expenses Earnings 1967 Total available funds income Total available funds expenses Earnings 1968 Total available funds income Total available funds expenses Earnings 1969 Total available funds income Total available funds expenses Earnings NOTE: Total available funds income includes earnings from loans, investments, and service charges. Tax-exempt income has been converted to a taxable basis in all FCA data. Expenses include the processing and administrative cost of loans and investments and the "cost of money." Earnings are before Federal taxes and exclusive of gains or losses from security transactions. Source: Functional Cost Analysis National Average Reports of the Class 2 bank, when compared w ith the Class tially lower expenses per dollar of available funds 1 bank, was not due to a higher income rate. (In that more than offset the lower total income per fact, total income per dollar of available funds dollar of funds. Expenses per dollar of available declined as the bank size category increased, w ith funds were even lower fo r the Class 3 bank in the partial exception of 1969.) Rather, this higher 1966 and 1967 than fo r the Class 2 bank, but this ranking of the Class 2 bank was due to substan advantage was inadequate to compensate fo r lower 6 APRIL 1971 income per dollar of available funds. Rapidly rising In order to translate comparative balance sheets costs at the Class 3 bank in 1968 and 1969 into an explanation of why gross income per dollar partially offset the relative gains in income per of available funds declined as bank size increased, dollar of available funds, so that this bank group it is necessary to know the yields on the various continued to lag behind the net earnings perfor asset categories. mance o f the smaller bank groups. Gross Yields on Portfolio Assets. Table III In order to see why revenues and costs behaved contains average gross and net yield data fo r the as they did fo r the three bank groups, it is portfolio assets held by the three bank groups for necessary to examine their asset and liability the period 1966 through 1969. By a wide margin, characteristics. instalment loans had the highest average gross yield of any item in the bank portfolios. The gross ASSET CHARACTERISTICS yields on commercial and agricultural loans, real The balance sheets of the three categories of estate mortgages, and investments followed in FCA banks fo r the period 1966-1969 show some descending order for all bank classes— except in rather persistent differences (see Table II). The 1969, dollar volume o f cash and balances due from banks exceeded the gross return on real estate loans. when the gross yield on investments (as a percent o f total assets) consistently increased It is important to note that gross yields on all w ith bank size, while holdings of U. S. Govern asset categories did not consistently decline as ment securities declined. In each year, the Class 2 bank size increased (see Table III). The decline in bank allocated a larger share of its portfolio to gross income per dollar of available funds asso tax-exempt obligations than the other two groups. ciated w ith increasing bank size can be explained Real estate and instalment loans made up a smaller in terms of a portfolio composition effect. There proportion of total assets at larger banks than at are heavier concentrations of high-income instal the Class 1 banks, and commercial and agricultural ment loans in the higher yield portfolios and of loans increased in importance with average bank cash and commercial and agricultural loans in the size. Overall, the Class 3 and Class 2 banks held lower yield portfolios. higher proportions of cash and balances due and Operating Cost and Net Yields on Portfolio specialized more in commercial loans4 than the Assets. In addition to gross rates of return on Class 1 bank. The Class 2 and Class 1 banks various assets, Table III also shows the effect of allocated a larger proportion of funds to instal operating costs in making and servicing various ment and real estate loans and U. S. Government loans and investments. These costs constitute a securities than the Class 3 bank. portion of the total available funds expense shown in Table I; the cost of money is not included in 4 ln 1969, agricultural loans constituted less than 2 Table III. Since the FCA approach charges each percent of the volume of total commercial and agricul lending function the same cost of money rate, the tural loans at FCA banks with deposits over $200 million. omission of this cost does not affect the relative For net yield on different assets. In addition, cost of the Class amounted commercial to 1 bank, over and 10 however, agricultural percent agricultural of loans. the F unctional Analysis N ational Average Reports, 1969, p. A17. loans volume of Cost money is more appropriately discussed in connec tion w ith its source: liab ility structure and cost. 7 ECONOMIC REVIEW TABLE II Percentage Distribution of Assets Averaged fo r Banks in Three Size Categories 1966-1969 Banks With Deposits up to $50 Million Banks With Deposits $50 Million to $200 Million Banks With Deposits Over $200 Million (Class 1) (Class 2) (Class 3) 1966 Cash and due from banks U. S. securities Tax-exempt obligations Real estate mortgage loans Instalment loans Commercial and agricultural loans Other 12.03% 19.49 12.06 17.50 12.35 19.99 6.58 13.19% 15.74 13.22 15.18 12.07 24.35 6.25 16.63% 10.56 11.02 13.83 8.62 32.96 6.38 11.73 18.06 12.70 17.38 12.49 7.52 13.17 15.26 14.03 15.52 11.40 23.51 7.11 16.17 11.38 12.15 13.83 8.51 30.91 7.05 11.27 17.28 13.43 17.89 12.33 19.82 7.98 12.97 14.76 15.01 16.18 11.61 22.34 7.13 15.44 11.15 13.30 15.12 9.21 28.88 6.90 11.35 14.77 14.07 18.37 12.94 20.18 8.32 12.76 15.46 8.82 13.02 15.57 9.70 30.60 6.83 1967 Cash and due from banks U. S. securities Tax-exempt obligations Real estate mortgage loans Instalment loans Commercial and agricultural loans Other 20.12 1968 Cash and due from banks U. S. securities Tax-exempt obligations Real estate mortgage loans Instalment loans Commercial and agricultural loans Other 1969 Cash and due from banks U. S. securities Tax-exempt obligations Real estate mortgage loans Instalment loans Commercial and agricultural loans Other NOTE: Other includes such items as other bonds and stocks, Federal funds sold, commercial paper, brokers' loans, bankers' acceptances, and bank premises and real estate. Source: F unctional Cost Analysis N ational Average Reports 8 12.68 15.57 17.02 12.16 22.84 6.97 APRIL 1971 TA B L E III Gross Yields, Operating Costs and Net Yields on P ortfolio Assets Averaged for Banks in Three Size Categories (percent per annum) 1966-1969 Banks With Deposits up to $50 Million Banks With Deposits $50 Million to $200 Million (Class 1) (Class 2) (Class ; 4.79% 0.15 4.64 4.93% 0.12 4.81 5.26% 0.13 5.13 5.80 0.80 5.00 5.77 0.69 5.08 5.88 0.63 5.25 9.49 3.08 6.41 9.16 3.15 6.01 8.84 3.27 5.57 6.03 1.29 4.74 5.91 0.99 4.92 5.91 0.68 5.23 5.03 0.13 4.90 5.14 0.10 5.04 5.40 0.12 5.28 5.96 0.79 5.17 5.95 0.69 5.26 6.12 0.71 5.41 9.81 3.20 6.61 9.51 3.39 6.12 9.51 3.66 5.85 6.33 1.30 5.03 6.17 1.03 5.14 6.19 0.72 5.47 5.78 0.13 5.65 5.99 0.11 5.88 6.23 0.12 6.11 6.12 0.73 5.39 6.13 0.62 5.51 6.3 6 0.62 5.74 9.99 3.15 6.84 9.72 3.33 6.39 10.03 3.92 6.11 6.63 1.26 5.37 6.62 1.03 5.59 6.75 0.80 5.95 6.67 0.15 6.52 6.75 0.12 6.63 7.05 0.16 6.89 6.37 0.71 5.66 6.32 0.63 5.69 6.64 0.67 5.97 10.21 3.35 6.86 9.99 3.64 6.35 10.49 4.08 6.41 7.39 1.31 6.08 7.66 1.08 6.58 7.95 0.84 7.11 Banks W ith Deposits Over $200 Million 1966 Investments Gross yield Operating cost Net yield Real estate mortgage loans Gross yield Operating cost Net yield Instalment loans Gross yield Operating cost Net yield Commercial and agricultural loans Gross yields Operating cost Net yield 1967 Investments Gross yield Operating cost Net yield Real estate mortgages Gross yield Operating cost Net yield Instalment loans Gross yield Operating cost Net yield Commercial and agricultural loans Gross yield Operating cost Net yield 1968 Investments Gross yield Operating cost Net yield Real estate mortgage loans Gross yield Operating cost Net yield Instalment loans Gross yield Operating cost Net yield Commercial and agricultural loans Gross yield Operating cost Net yield 1969 Investments Gross yield Operating cost Net yield Real estate mortgage loans Gross yield Operating cost Net yield Instalment loans Gross yield Operating cost Net yield Commercial and agricultural loans Gross yield Operating cost Net yield N O TE: Operating cost does not include the cost of money and thus is not equivalent to total functional expense. Source: F u n ctio n a l Cost A nalysis N ational Average Reports 9 ECONOMIC REVIEW TABLE IV Ranking of Asset Categories Based on Average Net Yields Earned by Banks in Three Size Categories 1966-1969 1966 1967 1968 1969 Banks With Deposits up to $50 Million (Class 1) I II III IV instalment loans real estate loans commercial and agricultural loans investments instalment loans real estate loans commercial and agricultural loans investments instalment loans investments real estate loans commercial and agricultural loans instalment loans investments commercial and agricultural loans real estate loans Banks With Deposits of $50 to $200 Million (Class 2) I instalment loans real estate loans II III commercial and agricultural loans IV investments instalment loans real estate loans instalment loans investments commercial and agricultural loans investments commercial and agricultural loans real estate loans investments commercial and agricultural loans instalment loans real estate loans Banks With Deposits Over $200 Million (Class 3) I instalment loans II real estate loans III commercial and agricultural loans IV investments instalment loans instalment loans* commercial and agricultural loans real estate loans investments* investments commercial and agricultural loans real estate loans commercial and agricultural loans investments instalment loans real estate loans * In 1968, instalment loans and investments had the same average net yield for C(ass 3 banks. Source: F unctional Cost Analysis National Average Reports It is interesting to note that assets w ith the banks.5 The Class 1 bank, however, reported the highest gross rates of return generally tended to lowest cost per dollar of instalment loans. Simi have the highest operating costs. As a result, the larly, the average operating costs for real estate range of average yields, net of operating costs, was loans and investments were less fo r the Class 2 much smaller than the range of average gross bank than fo r the Class 1 bank. The cost of real yields. The operating costs associated w ith various estate loans was about the same fo r the Class 3 5 lending activities were obviously not the same for each bank class. For example, the average per dollar cost of making and servicing commercial It should be remembered that if the average cost of some process is found to vary with firm size, this does not necessarily mean that the high cost firms are poorly managed. It may mean only that different size firms are and agricultural loans was much lower for the necessarily faced with differences in, for example, the Class 3 bank than fo r the Class 1 or Class 2 cost of inputs or the technique of production. 10 APRIL 1971 bank as fo r the Class 2 bank, but the cost of investments was slightly higher for Class 3 than for Class 2. L IA B IL IT Y CHARACTERISTICS AND THE COST OF MONEY During 1966-1969, persistent differences in liability structure by bank size category existed, as A fter subtracting costs of operation, instalment was the case w ith the asset side of the balance loans still had the highest average yield for all bank sheet (see Table V). Specifically, the liabilities of categories during 1966-1968. This is shown in the Class 2 bank included a higher proportion of Table III and is emphasized in Table IV, which regular savings accounts and a slightly larger ranks asset categories on the basis of average net percentage of demand deposits than either the yields earned by each bank class. In 1969, instal Class 1 or Class 3 banks. Until 1969, the liabilities ment loans continued to have the highest net yield of the Class 2 bank also contained the smallest for the Class 1 bank, but investments rose to first proportion of certificates of deposit (CDs) and place for the Class 2 bank. The highest net yield "other time deposits.” earned by the Class 3 bank in that year was on percent of total liabilities, were about the same at commercial and agricultural loans. the Class 2 and Class 3 banks, but borrowings In that year, CDs, as a (including Federal funds purchased) at the Class 3 To summarize, net earnings per dollar of avail able funds were highest fo r the Class 2 bank and bank were over three times as high as the proportion of borrowings at the Class 2 bank. lowest fo r the Class 3 bank during 1966-1969. This behavior of net earnings reflects differences in As shown by Table V I, demand deposits had the gross income and bank costs at the three banks. lowest Gross income per dollar of available funds tended Following demand deposits, in ascending order of average cost of all bank liabilities. to vary inversely w ith bank size, while total bank cost, were regular savings accounts, certificates of costs declined more than bank income from the deposits and other time deposits, and borrowings smallest to the intermediate size bank. From the (except that in 1967, borrowings were unusually intermediate to the largest bank, total expenses low in price). Thus, the unique liability structure per dollar of available funds either declined less of the Class 2 bank means that this bank was in than revenue or actually increased. The decrease in the advantageous position of paying less for funds reported gross income associated with increasing than other banks—not because it was always able bank size appears to be due to differences in to issue any given liab ility fo r less, but because its portfolio composition. liabilities were more heavily concentrated in low average cost categories. Asset and yield data, however, are inadequate to explain why total average expense initially An interesting question is why this bank had such a relatively desirable liab ility structure. Unfortunately, the FCA data do not provide a declined so sharply and hence why earnings per dollar of available funds were at a peak fo r the well-defined answer, but rather are consistent w ith Class 2 bank. For this explanation, it is necessary a number of possibilities. Whatever the cause, to broaden the discussion tP include the cost of however, the consequence of the Class 2 liability money, which involves liability structure and cost. structure for the cost of money is unequivocal. As 11 ECONOMIC REVIEW TABLE V Distribution of Selected Liabilities Averaged fo r Banks in Three Size Categories (percent of total liabilities and capital) 1966-1969 Banks With Deposits up to $50 Million Banks With Deposits $50 Million to $200 Million Banks With Deposits Over $200 Million (Class 1) (Class 2) (Class 3) 45.63% 28.60 47.39% 29.61 46.87% 24.73 15.36 11.72 14.46 1.09 1.83 4.45 43.95 26.77 45.69 28.09 45.47 23.27 19.17 15.40 18.51 1.03 1.65 3.32 42.00 25.63 43.89 26.72 43.47 23.47 22.41 18.57 20.33 1.14 1.82 3.90 41.12 23.56 42.65 25.32 41.83 21.57 24.97 20.60 20.30 1.42 2.37 7.66 1966 Demand deposits Regular savings accounts Certificates of deposit and other time deposits Borrowings and other liabilities 1967 Demand deposits Regular savings accounts Certificates of deposit and other time deposits Borrowings and other liabilities 1968 Demand deposits Regular savings accounts Certificates of deposit and other time deposits Borrowings and other liabilities 1969 Demand deposits Regular savings accounts Certificates of deposit and other time deposits Borrowings and other liabilities Source: Functional Cost Analysis National Average Reports Table V II shows, the Class 2 bank had the lowest While the overall cost of money was the lowest cost of money in each year. at the Class 2 bank in 1966-1969, the behavior of ®The cost of money figures shown in Table V II are the components of operating cost—processing and affected not only by liability structure but also by the administrative costs— in the demand and time cost and volume of capital funds at each bank. The capital deposit functions was sufficiently complex and funds function, in this paper, is treated only in part; i.e., the "borrowings” portion. A complete discussion was omitted in the interest of brevity and because of the difficulty of obtaining comparable cost figures on liabil revealing to warrant detailed examination. The Demand Deposit Function. In 1966-1967, ities and equity capital. For example, the FCA program demand deposit cost per dollar of demand deposits does not include dividend payments in the cost of equity. was lowest at the Class 3 bank and highest at the 12 APRIL 1971 TABLE VI Total Operating and Interest Cost (Less A ctivity Charges) for Selected Liabilities Averaged fo r Banks in Three Size Categories (percent per annum) Banks With 1966-1969 Banks With Deposits up to $50 Million Deposits $50 Million to $200 Million Banks With Deposits Over $200 Million (Class 1) (Class 2) (Class 3) 1.47% 3.98 1.33% 4.16 1.25% 4.42 4.14 4.32 4.75 5.10 5.10 5.10 1.57 4.13 1.42 4.24 1.39 4.47 4.45 4.62 4.83 4.37 4.23 4.44 1.74 4.22 1.56 4.34 1.53 4.52 4.79 4.93 5.17 5.49 5.57 6.82 1.76 4.49 1.61 4.59 1.73 4.64 5.06 5.14 5.50 7.62 7.77 9.55 1966 Demand deposits Regular savings accounts Certificates of deposit and other time deposits Borrowings and other liabilities* 1967 Demand deposits Regular savings accounts Certificates of deposit and other time deposits Borrowings and other liabilities 1968 Demand deposits Regular savings accounts Certificates of deposit and other time deposits Borrowings and other liabilities 1969 Demand deposits Regular savings accounts Certificates of deposit and other time deposits Borrowings and other liabilities NOTE: Average cost of borrowings and other liabilities do not include operating expenses. * Cost of borrowings for 1966 are not strictly comparable with figures for later years. Source: F unctional Cost Analysis N ational Average Reports Class 1 bank (Table V III). The Class 3 bank, Another interesting aspect of the data in Table however, experienced more rapidly rising costs V III than the other bank groups; and this advantage substantial economies of scale in the use of tellers, eroded to the point that, in 1969, the Class 2 bank but diseconomies in the use of other support had the lowest cost per dollar of demand deposits. personnel in the demand deposit function at the is an indication of what appear to be 13 ECONOMIC REVIEW TABLE VII Cost of Money* Averaged for Banks in Three Size Categories (percent per annum) 1966-1969 1966 Deposits up to $50 million (Class 1) Deposits $ 5 0 —$200 million (Class 2) Deposits over $200 million (Class 3) 1967 1968 1969 2.67% 2.58 2.69 2.88% 2.76 2.84 3.14% 3.00 3.15 3.37% 3.26 3.58 * The cost of money is computed by summingthe operating and interest costs of all funds-supplying functions less any service charge or other fee income and dividing by the quantity of available funds. Source: F unctional Cost Analysis N ational Average Reports Class 3 bank. The larger the bank, the lower the debits ("on us" checks) and accounts per non expense was for teller salaries per dollar of demand teller employee in the demand deposit function deposits; but wages, other than for tellers, per decreased. dollar of demand deposits were lowest for the support Class 2 bank economies rather than the Class 3 bank. Nevertheless, activities were elsewhere. any diseconomies insufficient As has to already in offset been Moreover, since 1966, the Class 1 bank had observed, when measured in terms of cost per incurred significantly lower expenses than the dollar of demand deposits, the Class 3 and Class 2 Class 3 bank for these "backroom '' wages per banks had lower overall demand deposit costs than dollar the Class 1 bank. of demand deposits. Other processing expense (which includes furniture and equipment, Cost per dollar of demand deposits, however, is computer, stationery and supply charges) was not the only measure of cost performance. For consistently lowest per dollar of deposits fo r the example, a different picture emerges from an Class 3 bank. The Class 2 and Class 3 banks—but examination of the cost of a unit of deposit never the Class 1 bank—had at various times during activity in checking accounts, such as cashing a the four-year period the lowest administrative and check or accepting a deposit. As Table X shows, overhead cost per dollar of deposits. As a result, the per unit cost of every demand deposit activity, the Class 2 and Class 3 banks had lower total as well as the annual maintenance charge per demand deposits costs per dollar of deposits than account, increased directly w ith bank size. More the Class 1 bank. One measure of the productivity of tellers and other demand deposit employees at the three over, the cost difference between bank classes— and the cost advantage of the Class 1 b a n k increased from 1966 through 1969. banks is shown in Table IX. A teller at the Class 3 Class 2 and Class 3 banks were able to achieve bank handled more deposits per day than his lower costs per dollar of checking account volume counterpart at the Class 2 or Class 1 bank and (Table V III) —in spite of higher costs per unit of cashed as many checks. On the other hand, as the deposit activity as shown in Table X. This appears bank size increased, the number of daily home to be due principally to the fact that deposit 14 APRIL 1971 TABLE V III Demand Deposit Expense Averaged fo r Banks in Three Size Categories (dollars per $1,000 o f demand deposits) 1966-1969 Banks With Deposits up to $50 Million Banks With Deposits $50 Million to $200 Million Banks With Deposits Over $200 Million (Class 1) (Class 2) (Class 3) 1966 Teller salaries Transit and bookkeeping wages Total processing wages Other processing expense Administration and overhead Total expense & 3.44 4.19 $ 2.36 5.05 9.74 7.63 6.86 6.86 $ 4.66 5.08 6.45 5.58 7.41 5.28 5.71 23.05 20.07 18.40 4.47 5.58 3.21 4.66 2.31 6.03 10.05 7.50 6.91 7.87 7.25 6.07 8.34 5.98 5.71 24.46 21.19 20.03 4.69 5.36 3.41 4.81 2.69 6.06 10.05 8.14 7.87 8.22 7.49 6.73 8.75 6.90 6.75 26.06 22.44 22.40 4.96 5.48 3.68 4.92 2.85 6.98 10.44 8.75 7.42 8.60 8.05 6.88 9.83 7.71 7.18 26.61 23.53 24.72 1967 Teller salaries Transit and bookkeeping wages Total processing wages Other processing expense Administration and overhead Total expense 1968 Teller salaries Transit and bookkeeping wages Total processing wages Other processing expense Administration and overhead Total expense 1969 Teller salaries Transit and bookkeeping wages Total processing wages Other processing expense Administration and overhead Total expense Source: F unctional Cost Analysis N ational Average Reports activity did not rise in proportion to the dollar Class 1 bank)7 contributed to this lower per dollar volume o f deposits. The average size of checking cost; maintenance expense was spread over a larger accounts at the Class 3 bank ($3,918 in regular 7 Functional checking accounts in 1969 versus $1,960 for the 1969, p. A8. Cost Analysis N ational Average Report, 15 ECONOMIC REVIEW TABLE IX Output of Employees in the Demand Deposit Function Averaged fo r Banks in Three Size Categories 1966-1969 Banks With Deposits up to $50 Million Banks With Deposits $50 Million to $200 Million Banks With Deposits Over $200 Million (Class 1) (Class 2) (Class 3) 71 84 317 420 71 73 298 335 87 83 246 238 76 96 322 423 79 84 286 325 233 232 75 78 358 459 78 76 303 340 91 80 245 256 75 77 381 480 79 79 325 365 89 80 234 245 1966 Daily deposits per teller Daily checks cashed per teller Daily home debits per trans-bookkeeper* Accounts per trans-bookkeeper 1967 Daily deposits per teller Daily checks cashed per teller Daily home debits per trans-bookkeeper Accounts per trans-bookkeeper 86 t 1968 Daily deposits per teller Daily checks cashed per teller Daily home debits per trans-bookkeeper Accounts per trans-bookkeeper 1969 Daily deposits per teller Daily checks cashed per teller Daily home debits per trans-bookkeeper Accounts per trans-bookkeeper * Trans-bookkeeper is an abbreviation for all demand deposit employees other than tellers. t Unavailable. The published figure is incorrect. Source: F unctional Cost Analysis N ational Average Reports dollar volume. Account activity (measured in from the FCA studies indicate that larger size does terms of weighted home debits, deposits, and not necessarily imply lower cost. Whether or not transit checks) per dollar of checking accounts also average cost rises or falls from one bank size declined as deposit volume rose. These effects are category to another depends on the measure of summarized in Table XI in terms of the number of output. activity weight units (including annual mainte nance) per dollar of checking account funds for The Time Deposit Function. Differences in the the three bank groups. The sharp decrease in operation of the time deposit function by bank activity per dollar of checking account funds as size were similar to those differences observed in bank size increased is quite apparent. the operation of the demand deposit function. The The data regarding the demand deposit function 16 Class 3 bank had the lowest cost in terms of APRIL 1971 TABLE X Costs o f Demand Deposit A ctivity and Maintenance Averaged for Banks in Three Size Categories (cents per item) 1966-1969 Banks With Deposits up to $50 Million Banks With Deposits $50 Million to $200 Million Banks With Deposits Over $200 Million (Class!) (Class 2) (Class 3) 1966 Home debit Deposit Transit check* Regular checking account—annual maintenancet Special checking account— annual maintenance 6.27 C 8.77 2.30 6.64C 9.29 2.43 1,657.73 1,755.54 1,807.00 552.52 1,023.95 1,053.97 6.89 9.65 2.53 7.34 10.26 2.69 7.92 11.09 2.90 1,823.45 1,939.91 2,095.41 607.75 1,131.49 1,396.78 7.32 10.25 2.68 8.00 11.20 2.93 8.46 11.84 3.10 1,936.98 2,117.04 2,238.39 645.59 1,411.20 1,492.10 7.47 10.46 2.74 8.24 11.53 3.02 9.88 13.83 3.62 1,976.42 2,179.83 2,614.25 658.74 1,089.79 1,742.64 6.83C 9.56 2.50 1967 Home debit Deposit Transit check Regular checking account— annual maintenance Special checking account—annual maintenance 1968 Home debit Deposit Transit check Regular checking account— annual maintenance Special checking account— annual maintenance 1969 Home debit Deposit Transit check Regular checking account— annual maintenance Special checking account— annual maintenance NOTE: Home debits include all "on us” checks plus all charges against checking accounts. * Transit checks is a term covering all outgoing clearing items, t Annual maintenance cost is the average cost to the bank of servicing a deposit, even if the deposit is inactive. Source: F unctional Cost Analysis National Average Reports 17 ECONOMIC REVIEW TABLE XI Weighted A ctivity Units* Per $1.00 of Checking Account Funds Averaged fo r Banks in Three Size Categories 1966-1969 1966 Deposits up to $50 million (Class 1) Deposits $ 50—$200 million (Class 2) Deposits over $200 million (Class 3) 1967 1968 1969 .935 .746 .634 .919 .732 .627 .920 .721 .657 .926 .739 .634 * One weight unit equals the activity (cost) required to process one transit check. Since every activity involves a cost, the cost of any given activity may be expressed as a multiple of the cost of any other activity. FCA uses the cost of a transit check as the standard unit. Source: F unctional Cost Analysis N ational Average Reports TABLE X II Operating Cost of Time Deposits Averaged fo r Banks in Three Size Categories (cost in dollars per $1,000 o f time deposits) 1966-1969 Banks With Deposits up to $50 Million Banks With Deposits $50 Million to $200 Million Banks With Deposits Over $200 Million (Class 1) (Class 2) (Class 3) $2.23 2.23 $2.33 2.23 $2.08 1.99 4.46 4.56 4.07 2.26 2.27 2.37 2.17 2.30 1.73 4.53 4.54 4.03 2.29 2.10 2.46 2.08 2.27 1.89 4.39 4.54 4.16 2.58 2.54 2.77 2.60 2.64 2.15 5.12 5.37 4.79 1966 Processing expense Administration and overhead expense Total operating expense 1967 Processing expense Administration and overhead expense Total operating expense 1968 Processing expense Administration and overhead expense Total operating expense 1969 Processing expense Administration and overhead expense Total operating expense Source: F unctional Cost Analysis N ational Average Reports 18 APRIL 1971 TABLE X III Cost of Time Deposit A ctivity Averaged fo r Banks in Three Size Categories (cents per transaction) 1966-1969 Banks With Deposits up to $50 Million Banks With Deposits $50 Million to $200 Million Banks With Deposits Over $200 Million (Class 1: (Class 2) (Class 3) 5 6 .10 0 61.71 173.91 56.69 < ? 62.36 175.74 72.67 C 79.94 225.28 63.07 69.37 195.51 60.53 66.59 187.65 74.42 81.86 230.70 66.79 73.47 207.06 64.59 71.05 200.22 72.66 79.93 225.25 76.71 84.38 237.79 78.82 86.70 244.34 85.01 93.51 263.54 1966 Deposit Withdrawal Account opened 1967 Deposit Withdrawal Account opened 1968 Deposit Withdrawal Account opened 1969 Deposit Withdrawal Account opened Source: F unctional Cost Analysis N ational Average Reports operating expense per dollar of time deposits (Table X II). Costs per unit of time deposit activity, however, tell a different story. As Table BANK SIZE AND PERSONNEL EXPENDITURE The FCA study also compiles and reports XI11 shows, the Class 1 and Class 2 banks had the average data on the number of and expenditure for lowest average cost per transaction unit over the total personnel for the three bank classes. Much of four-year period. The Class 3 bank consistently this information is summarized in Table X IV . The had the highest per unit cost fo r time deposit top panel in the Table indicates that the Class 3 activity, just as it had the highest per unit activity bank was able to operate w ith fewer employees cost in the demand deposit function. Again, the per dollar of available funds. This situation is often Class 3 bank was able to achieve low adminis attributed to increased specialization of labor at trative and processing costs per dollar of time larger banks, which results in higher overall output deposits chiefly because deposit activity did not per employee. As noted in the previous two increase in proportion to deposit volume. sections, however, it may also be attributed to the 19 ECONOMIC REVIEW TABLE X IV Personnel Use and Cost Averaged fo r Banks in Three Size Categories 1966-1969 1967 1966 1968 1969 Number of employees per $1,000,000 of available funds 2.10 2.02 1.86 Deposits up to $50 million (Class 1) Deposits $ 50—$200 million (Class 2) Deposits over $200 million (Class 3) 1.79 1.59 1.53 1.86 1.67 1.58 1.83 1.69 1.57 $ 5.92 5.97 6.35 6.27 6.81 Annual personnel expense per employee ($1,000 of dollars) Deposits up to $50 million (Class 1) Deposits $ 5 0 —$200 million (Class 2) Deposits over $200 million (Class 3) $ 5.28 5.35 5.72 $ 5.58 5.64 6.02 6.22 Annual personnel expense in dollars per $1,000 of available funds Deposits up to $50 million (Class 1) Deposits $ 5 0 —$200 million (Class 2) Deposits over $200 million (Class 3) $ 11.01 $11.27 10.10 9.57 $11.09 9.95 8.75 $11.38 10.60 10.69 9.97 10.03 Personnel expense as a percent of gross income on available funds Deposits up to $50 million (Class 1) Deposits $ 50—$200 million (Class 2) Deposits over $200 million 21.03% 19.48 17.76 20.49% 19.19 18.65 19.23% 18.06 18.01 18.28% 17.46 17.16 Source: F unctional Cost Analysis N ational Average Reports fact that there was less to be done (account bank widened during this period of generally activity was less) per dollar of available funds at increasing personnel cost. the Class 3 bank; therefore, fewer personnel were The net effect of the changing relative produc required to process a dollar of funds. During tiv ity and remuneration at the various banks on 1966-1969, the Class 1 and Class 2 banks had personnel expense per dollar of available funds is considerable success in reducing the number of shown in the third panel of Table X IV . Because of employees In productivity gains at the Class 1 and Class 2 banks contrast, the ratio of employees to available funds and larger increases in wages and salaries at the at the Class 3 bank was practically unchanged Class 3 bank, the Class 2 bank replaced the Class 3 per dollar of available funds. from 1967 through 1969. The second panel in Table XIV reveals that the Class 3 bank had higher personnel cost per bank w ith the lowest personnel expense per dollar of available funds. As the bottom panel shows, however, personnel expenditure remained a employee than the Class 2 and Class 3 banks. It is smaller percentage of gross income for the Class 3 also apparent that expense per employee at the bank than fo r the other two bank groups. Class 3 bank increased more over the 1966-1969 period than personnel expense in the other bank A U X IL IA R Y SERVICE FUNCTIONS groups. The gap between personnel expense per Three specific service functions are analyzed in employee at the Class 3 bank and at the Class 1 the functional cost study— computer services, trust 20 APRIL 1971 TABLE XV Losses in Auxiliary Bank Service Departments Averaged fo r Banks in Three Size Categories (percent of departmental expense) 1966-1969 1966 1967 1968 1969 15.97% 11.51 8.89 13.29% 13.97 10.11 12.51% 13.27 6.11 20.28 9.55 (9.46) 24.18 11.78 (1.59) 27.37 12.24 (1.66) 29.89 17.91 1.92 35.84 37.21 34.35 27.58 32.34 25.44 26.41 30.00 32.70 38.66 39.57 37.57 Computer service department Deposits up to $50 million (Class 1) Deposits $50—$200 million (Class 2) Deposits over $200 million (Class 3) 9.67% 9.87 6.61 Trust department Deposits up to $50 million (Class 1) Deposits $50—$200 million (Class 2) Deposits over $200 million (Class 3) Safe deposit department Deposits up to $50 million (Class 1) Deposits $ 50—$200 million (Class 2) Deposits over $200 million (Class 3) NOTE: Profits are in brackets; losses are unbracketed. Source: F unctional Cost Analysis N ational Average Reports operations, and safe deposit. Table XV shows that, SUMMARY except for the trust department operations of the This survey of the published FCA bank data for Class 3 bank, these departments were operated at a the years 1966-1969 has indicated pronounced loss throughout the period. The fact that these differences in the functional revenue and cost services appear to be provided at a loss does not flows of the different size banks. Using earnings necessarily mean that FCA banks would be well per dollar o f available funds as the criterion, the advised service Class 2 bank consistently achieved the highest departments are maintained because they generate to eliminate them. Auxiliary overall performance, and the Class 3 bank just as funds and profitable business in other bank depart consistently ranked third. The overall superiority ments. Strictly speaking, all of these losses should, of the Class 2 bank over the Class 1 bank was due therefore, be allocated as expense items to those to substantially lower cost per dollar of available departments that benefit from the presence of funds. This more than compensated for the lower auxiliary service functions in the bank. O Such an gross yield received by the Class 2 bank. The allocation, however, is not feasible. relatively inferior performance of the Class 3 bank 0 was Expenses for computer services performed for specific due to an unfortunate combination of bank functions are allocated to those functions; the generally lower income and insufficient offsetting remaining auxiliary service expenses are not allocated. cost economies. 21 ECONOMIC REVIEW Differences in asset structure and yield by bank (except for demand deposits in 1969); but in size categories were also noted. Specifically, larger terms of cost per unit of deposit activity, the Class banks were found to hold higher proportions of 3 bank had the highest cost record. These results cash and commercial and agricultural loans, while can be reconciled by the fact that as deposit the smaller banks' portfolios on average contained volume grows, deposit activity increases less than heavier concentrations o f instalment and real in proportion to deposit volume. estate loans and U. S. Government securities. During the period under review,. because of productivity gains at the Class 1 and Class 2 banks The liability structure and cost was also seen to and more rapidly rising labor cost at the Class 3 vary considerably w ith bank size. The Class 2 bank, the Class 2 bank replaced the Class 3 bank in bank, in particular, was the beneficiary of a having the lowest personnel expense per dollar of liability composition that was weighted towards available funds. low average cost items. Substantial differences Generally, a conclusion that may be drawn from were also found in the cost of producing and the FCA data is that, during 1966-1969, bank size maintaining demand and time deposit liabilities. did make a difference in functional costs and Viewed in terms of operating cost per dollar of revenues, and this difference did not always favor deposits, the Class 3 bank achieved the lowest cost the largest banks. 22 The 1970 Functional Cost Analysis National Average Report w ill be available in June 1971 from the Bank Relations and Public Information Reserve Bank of Cleveland. Department, Federal APRIL 1971 RECENTLY PUBLISHED ECONOMIC COMMENTARIES OF THE FEDERAL RESERVE BANK OF CLEVELAND "A Note on the Bank Holding Company Act Amendments of 1970" March 22, 1971 "Some Aspects of the Auto Recovery" March 29, 1971 "Bank Holdings of Municipal Obligations (Fourth D istrict)" April 5, 1971 "U nited States International Trade in Agricultural Products" April 12, 1971 " A Note on the Current Economic S ituation" April 19, 1971 Economic Commentary is published weekly and is available w ithout charge. Requests to be added to the mailing list or fo r additional copies of any issue should be sent to the Research Department, Federal Reserve Bank of Cleveland, P. 0 . Box 6387, Cleveland, Ohio 44101. 23