CONSUMER SWITCHING COSTS AND FIRM PRICING: EVIDENCE FROM BANK PRICING OF DEPOSIT ACCOUNTS By Timothy H. Hannan This paper employs extensive information on bank deposit rates and county migration patterns to test for pricing relationships implied by the existence of switching costs. It relies on the following propositions: 1.Banking markets are local. 2. Existing customers incur switching cost to open accounts at new banks, but in-migrants do not face switching costs relevant to their choice of bank. 3. Banks view the time that an in-migrant can be expected to stay in the area as relevant to the pricing decisions that they make to attract new customers. Preview of Results 1. Because some areas experience more inmigration than others, banks, in addressing the tradeoff between attracting new customers and exploiting old ones, offer higher deposit rates in areas (and at times) characterized by greater inmigration. Preview of Results 2. Because out-migration implies that on average a locked-in customer will not be with the bank as many periods, greater out-migration changes the bank’s assessment of this trade-off such that the bank offers lower deposit rates in areas (and during periods) that experience greater out-migration. Preview of Results 3. Because this effect of out-migration logically depends on the existence and extent of in-migration, an interaction is implied. Consistent with this, out-migration has more of an effect on pricing, the greater is in-migration. 4. Consistent with increasing switching costs over time, account types that should be subject to greater switching costs exhibit the biggest reduction in deposit rates Literature: Theory • One-period • Two period • Multi-period, where new customers are entering the market, old customers are leaving the market, and the firm cannot distinguish between old “locked-in” customers and new customers in its pricing. Beggs and Klemperer (1992). Literature: Empirical • Sharpe (1997) • Hannan, Kiser, Prager, and McAndrews (2003) Theoretical Model Vt i ( rst rdt .i )[ xi newt Zit ( rdt ,i , rdt , j ,.)] V [ t ,t 1 ( xi newt Z ( r , r ,.))] i t 1 t i t d ,i t d, j (1) Vt i denotes discounted future profits at time t. rst denotes the rate earned on securities at time t. rdt ,i denotes bank i’s deposit rate at time t newt denotes the number of new customers entering the market at t. Z it (.) denotes the share of new customers attracted to bank i. denotes a discount factor xi denotes the number of bank I’s locked-in customers at t t ,t 1 denotes the proportion of market depositors that “survive” to t+1 Theoretical Model As an empirical matter, I measure the “survival rate” as: t ,t 1 1 (outt 1 / popt ) Differentiation of (1) with respect to the bank i‘ s deposit rate, division by popt , and making this substitution yields: Theoretical Model xi newt Z Z t t t t t i' [ Z i ( rd ,i , rd , j ,.) ( rs rd ,i ) t Vt 1 (.) t ] popt popt rd ,i rd ,i newt outt 1 i ' Z Vt 1 (.) t 0 popt popt rd ,i --The higher the rate of market in-migration the higher the deposit rate. --The higher the rate of market out-migration, the lower the deposit rate, but only in interaction with the rate of in-migration. --The greater the discount factor and security rate, the greater the deposit rate. --Size, as expressed by xi ? Empirical Model rdt ,i 0 1hhimt 1 2 ln(mktincmt 1 ) 3inmigratemt 1 4outmigratemt 1 (inmigratet 1 ) t i it m 1 0 3 4outmigratemt 1 0 4 0 3 0 It follows that: Data 12,000 observations of banks observed annually from 1989 to 2004. For each bank and year, interest rates were calculated from balance sheet and income data for four different kinds of deposit account : interest-bearing transaction accounts (itrate), savings deposits (svrate), small time deposits (smtrate), and large time deposits (lgtrate). Data Migration data constructed from year-to-year changes in addresses, available on a county basis, derived from the population of returns from the IRS Master File. In-migrants—address outside the county at time t-1 and inside the county at t. Out-migrants—address in the county at time t1 and address outside the county at t. Data Following previous studies, markets are defined as metropolitan areas (in the case of urban markets) or BLS labor market area (in the case of rural markets). All are coterminous with counties. Table 2 Means of Deposit Rates and Migration Variables,by Year itrate svrate smtrate lgtrate inmigrate outmigrate 1989 .048 .055 .081 .077 .058 .064 1990 .049 .056 .079 .075 .060 .064 1991 .045 .051 .071 .065 .061 .058 1992 .031 .037 .053 .047 .061 .061 1993 .024 .029 .043 .038 .062 .060 1994 .023 .029 .042 .039 .062 .060 1995 .024 .032 .056 .054 .063 .061 1996 .023 .032 .056 .052 .061 .060 1997 .023 .033 .056 .054 .061 .062 1998 .023 .033 .056 .054 .060 .062 1999 .021 .032 .052 .050 .060 .063 2000 .023 .035 .057 .057 .060 .063 2001 .018 .028 .057 .055 .059 .063 2002 .011 .017 .040 .035 .059 .061 2003 .007 .011 .029 .028 .057 .058 2004 .006 .010 .025 .024 .057 .058 Table 3 Bank Deposit Rates, and the Extent of In-migration and Out-migration in Local Banking Markets, 1989-2004, with Bank and Year Fixed Effects Dependent Variables: constant itrate .046 (38.28) svrate .057 (44.75) smtrate .080 (67.37) lgtrate .076 (41.18) hhi -.18E-6** (-2.62) -.19E-6** (-2.68) -.84E-7 (-1.20) -.20E-6+ (-1.68) urban -.48E-3 (-.93) .0033** (6.13) ln(mktincome) .11E-3 (1.29) inmigrate .0017** (3.29) .0022* (2.62) -.0024* (-2.50) -.18E-4 (-.20) -.76E-4 (-.55) .023** (7.11) .020** (5.70) .017** (5.01) .030** (4.92) . . -.027** (-237.49) . -.039** (-395.02) . -.043** (-464.03) . . -.022** (-176.23) . -.039** (-362.15) . -.046** (-455.45) . . -.025** (-249.73) . -.044** (-406.32) . -.052** (-498.49) . . -.021** (-95.46) . -.042** (-197.01) . -.054** (-252.61) outmigrate x inmigrate . . year 2000 . year 2002 . year 2004 R2-within Number of observations Number of banks .87 134,961 12,771 .87 134,961 12,771 .90 134,961 12,771 .70 134,961 12,771 Note: t-statistics are presented in parentheses. The symbols +, *, and ** denote significance at the 10, 5, and an 1 percent levels, respectively. For purposes of space, coefficients of only three of the year binary variables are presented (coefficients relative to 1989). Table 3a Bank Deposit Rates, and the Extent of In-migration and Out-migration in Local Banking Markets, 1989-2004, with Bank and Year Fixed Effects Dependent Variables: constant itrate .047 (36.81) svrate .058 (43.09) smtrate .079 (62.37) lgtrate .076 (38.78) hhi -.20E-6** (-2.83) -.20E-6* (-2.64) -.13E-6 (-1.64) -.27E-6* (-2.14) -.43E-3 (-.79) .0033** (6.04) .0015** (2.92) .0022** (2.48) .44E-4 (.48) -.36E-3** (-3.66) -.92E-4 (-.98) -.11E-3 (-.75) urban ln(mktincome) inmigrate outmigrate x inmigrate . . year 2000 . year 2002 . year 2004 R2-within Number of observations Number of banks .047** (9.49) .055** (10.20) .068** (11.55) .060** (6.58) -.18** (-4.90) . . -.27** (-238.04) . -.039** (-393.00) . -.043** (-455.94) -.29** (-7.20) . . -.022** (-176.33) . -.039** (-359.07) . -.046** (-446.23) -.43** (-8.82) . . -.025** (-250.15) . -.044** (-404.36) . -.057** (-539.71) -.23* (-3.59) . . -.021** (-95.15) . -.042** (-195.66) . -.054** (-249.24) .87 128,409 12,650 .86 128,409 12,650 .89 128,409 12,650 .69 128,409 12,650 Note: t-statistics are presented in parentheses. The symbols +, *, and ** denote significance at the 10, 5, and an 1 percent levels, respectively. For purposes of space, coefficients of only three of the year binary variables are presented (coefficients relative to 1989). Dependent Variables: itrate itrate constant .042 (26.59) .047 (36.88) hhi -.23E-6** (-3.18) -.16E-6* (-2.09) -.19E-6** (-2.63) urban -.31E-3 (-.58) -.57E-3 (-1.06) -.63E-3 (-1.14) ln(mktincome) -.83E-4 (-.88) .47E-4 (.51) .55E-4 (.60) inmigrate .049** (9.86) .047** (9.51) .026** (4.92) outmigrate x inmigrate ln(bkassets) -.49** (-4.97) -.19** (-4.93) .0044 (3.34) -.15** (-4.19) .61E-3** (6.22) . branchshare . -.0012+ (-1.69) svrate svrate .058 (35.87) .058 (43.11) .012 (8.51) -.20E-6** (-2.60) -.17E-6* (-2.10) -.17E-6** (-2.28) -.0033** (6.01) .0032** (5.75) .0030** (5.37) -.34E-3** (-3.45) -.35E-3** (-3.64) -.32E-3** (-3.31) .055** (10.15) .056** (10.22) -.29** (-7.19) -.29** (-7.22) . . .016** (6.70) .87 128,408 12,649 svrate .040** (6.89) -.26** (-6.68) -.71E-4 (-.65) . popgrowth R2-within Number of observations Number of banks itrate .87 128,408 12,649771 .86 118,852 12,262 . .87 128,408 12,649 . -.78E-3 (-1.06) . .86 128,408 12,649 . . .057* (2.25) .85 118,852 12,262 Conclusion Consistent with the importance of switching costs: 1. Deposit rates are higher in markets with greater in-migration 2. Deposit rates a lower in markets with greater out-migration 3. The effects of in-migration and outmigration interact such that out-migration has a bigger effect, the greater is inmigration (and in-migration has a smaller effect, the greater in out-migration) Conclusion 4. Consistent with increasing switching costs over time, the deposit rate of the account type that should be most subject to switching costs (interest bearing transaction accounts) tended to decline by more than the rates offered on other account (Speculative). --
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