Journal of Financial Services Research 16:1 5±26 (1999) # 1999 Kluwer Academic Publishers, Boston. Manufactured in The Netherlands. Interest Rate Asymmetries in Long-Term Loan and Deposit Markets BARRY SCHOLNICK Faculty of Business, University of Alberta, Edmonton, Canada Abstract Studies of U.S. loan and deposit markets have found that consumer interest rates respond asymmetrically to changes in market rates. If this ®nding is repeated across many different consumer ®nance product markets, then it could have important implications for the transmission mechanism of monetary policy. This paper tests for signi®cant interest rate asymmetries in consumer ®nance markets that differ markedly from those examined in the existing literature. The main result of this paper is to reject the hypothesis of signi®cant asymmetries in most (but not all) of the longer-term loan and deposit markets examined in Canada and the United States. This indicates that the explanations for asymmetries given in the literature are not generalizable across different product markets in different countries. Key words: interest rates, asymmetries, consumer ®nance 1. Introduction An important question in macro economics is the micro-economic issue of whether prices are asymmetrically stickyÐwhether the speed at which a price rises is different from the speed at which it falls. One particular set of prices that has elicited signi®cant attention in this context are consumer interest rates set by banks. Consumer interest rates are a particularly important set of prices in the macro-economic context because of their potentially large role in the monetary policy transmission mechanism (Moore, Porter, and Small, 1990; Heffernan, 1997). Recent papers including Hannan and Berger (1991), Ausubel (1991), Neumark and Sharpe (1992), Hannan (1994), Calem and Mester (1995), and Hutchison (1995) have documented that consumer interest rate asymmetries indeed are signi®cant for a variety of short-term consumer ®nancial products in the United States, including money market deposit accounts and credit card loans. This paper examines whether signi®cant interest rate asymmetries exist in markets quite different from the short-term U.S. markets examined in the literature. There are two main reasons for undertaking this research. First, because of the possible role of consumer interest rates in the monetary policy transmission mechanism, if the interest rate asymmetries in the short-term U.S. markets are found to be widespread in different types of consumer ®nance product market, then such asymmetries could have important implications for monetary policy makers. Second, by examining the prevalence (whether or not rates are signi®cantly sticky) and nature (sticky upward or sticky downward) of 6 BARRY SCHOLNICK asymmetries in different product markets, it is possible to provide new evidence that may or may not be consistent with the different theories explaining interest rate asymmetries proposed in the literature. A wide variety of theoretical explanations have been proposed to explain the observed asymmetries in the U.S. markets. One set of theories relates to issues of market concentration (Hannan and Berger, 1991; Neumark and Sharpe, 1992), another set to issues of consumer behavior (Hannan and Berger, 1991; Rosen, 1995), and a third set to issues of asymmetric information and adverse selection (Stiglitz and Weiss, 1981; Ausubel, 1991; Calem and Mester, 1995). The market concentration and consumer behavior explanations can apply to both loan and deposit markets, while the adverse selection theories apply only to loan markets. Despite the many explanations for asymmetries, less progress has been made on providing evidence to distinguish between the different theories. Hannan's (1994) conclusion about the various theories is that they all are ``speculative'' and that ``the observed asymmetry in the stickiness of deposit rates . . . seem to represent a ®nding in search of a theory'' ( p. 265). This paper uses the asymmetric error correction mechanism procedure to determine whether longer-term consumer interest rates set by banks are either sticky upward, sticky downward, or not signi®cantly asymmetric. The data set examined here includes longerterm loan and deposit interest rates in Canada; in particular, mortgage loan rates, car loan rates, long-term ®xed-interest deposit rates, and savings deposit rates. For comparison, the paper also examines data from the long-term U.S. mortgage market. These particular products are different in a number of important respects from the short-term U.S. products examined in the literature. The differences are important for evaluating the extent to which the different theoretical explanations can be generalized across different types of consumer ®nancial products in different national markets. The ®rst important point concerning the products examined here is the extent of concentration in the Canadian banking system relative to the United States. The Canadian banking system is highly concentrated, with only six major banks dominating the market across the whole country. The issue of concentration is one of the main explanations provided in the literature for the existence of interest rate asymmetries. Hannan and Berger (1991) and Neumark and Sharpe (1992) ®nd evidence from the U.S. market of a positive relationship between concentration and asymmetric rigidity, which they ascribe to market power held by banks in concentrated markets. If these conclusions were applicable in the case of interest rates set by the big six Canadian banks, then these rates should display signi®cant interest rate rigidity in the bank's favor. However, considerable debate in the literature concerns whether concentration in a market indeed does imply that ®rms in the industry possess and utilize market power (see Shaffer, 1994, for a complete review). Therefore, an examination of the interest rates set by the big six banks in Canada provides a mechanism for testing the U.S. ®ndings of Hannan and Berger (1991) and Neumark and Sharpe (1992) that high concentration leads to signi®cant interest rate asymmetries. The second difference between the type of consumer ®nancial products examined here and those examined in the literature is that most of the products examined here, such as home mortgages, car loans and long-term, ®xed-interest consumer deposits (guaranteed investment certi®cates, or GICs) typically are markets involving greater monetary quantities and longer time horizons. Consumer behavior with regard to longer-term bank INTEREST RATE ASYMMETRIES 7 products such as mortgages could be quite different than consumer behavior with respect to shorter-term products such as short-term deposit accounts or credit card loans. Many of the theories proposed in the literature to explain asymmetric interest rate adjustment are based on issues surrounding consumer behavior, including the issue of consumer sophistication, search costs, and switching costs. These arguments essentially state that banks have some degree of market power because of the way consumers choose consumer ®nancial products. By empirically examining the prevalence and nature of asymmetries in longer-term market, it is possible to determine the extent to which these theories may be applicable in longer-term product markets. The main ®nding of this paper is that no signi®cant asymmetries can be detected in most longer-term consumer interest rates in Canada or in long-term mortgage rates in the United States. For those products where no signi®cant asymmetries can be detected, it is possible to argue that the different explanations provided in the literature to explain the ®ndings of asymmetries in the shorter-term U.S. product markets are not consistent with the data presented here. The paper is organized as follows. The next section provides a brief survey of the different theoretical explanations of asymmetric interest rate adjustment, the third section describes the asymmetric error correction methodology used, the fourth section gives the results, and the ®fth provides the discussion. 2. Theories of interest rate asymmetries Three main types of explanation for commercial bank interest rate asymmetries have been proposed in the literature, based on concentration, consumer behavior, and issues of adverse selection in markets for loans (but not deposits). These three explanations are brie¯y discussed in turn. 2.1. Market concentration The empirical link between asymmetric interest rate adjustment and market concentration has been well documented in the context of deposit rates in the United States. The U.S. banking system provides a rich source of data on different geographical markets that are more or less concentrated. Neumark and Sharpe (1992) ®nd that ``banks in more concentrated markets are slower to adjust deposit rates upward'' but were ``faster to adjust interest rates downward'' ( p. 676). They conclude that, ``when market interest rates ¯uctuate in either direction, the adjustment behavior of banks in concentrated markets seems to allow them to extract more surplus from depositors than banks in less concentrated markets'' ( p. 676). Hannan and Berger (1991) reach a similar conclusion, ``that ®rms in more concentrated markets . . . exhibit greater price rigidity, all else equal, and that deposit rates are signi®cantly more rigid when the stimulus for a deposit rate change is upward'' ( p. 944). Both papers have examined the market for deposits where ®rms with market power ensure that deposit rates are sticky upward when the cost of funds increases. A similar 8 BARRY SCHOLNICK argument can be made in the case of ®rms having market power in the loan marketÐonly in this case a ®rm with market power would ensure that loan rates were sticky downward when the cost of funds declined. The issue of concentration as an indicator of market power in the banking industry, however, is controversial, with a very large literature questioning whether concentration in fact does give ®rms market power. Shaffer (1994), in a review of the literature on banking and concentration, notes that ``the link between concentration and market power is not uniform . . . competitive outcomes might be observed in concentrated markets as well as unconcentrated ones, while . . . monopoly power might be sustained in unconcentrated markets as well as concentrated ones'' ( p. 4). The situation in the banking industry in Canada is very interesting in this regard. The banking industry is considered to be concentrated in that it is dominated by the ``bigsix'' banks, which compete across the entire country. According to data from the Canadian Mortgage and Housing Corporation, the top ®ve Canadian banks have a market share of 62.5% of all mortgages issued in Canada (Beauchesne, 1998), and according to the Royal Bank of Canada, the big six banks have a market share of 60% of individuals, deposits in Canada and 73% of total deposits (Royal Bank Financial Group, 1996). Using aggregate industry data (rather than the product level data used here) Shaffer (1993) provides evidence on the extent of competition in the Canadian banking industry. He concludes that ``the industry has resembled perfect competition,'' even though the Canadian banking system is ``signi®cantly more concentrated than the United States'' ( p.49). A ®nding in this paper of no signi®cant asymmetries in any individual product market or the existence of asymmetries in favor of consumers would imply that the banks were unable to ``extract more surplus'' (Neumark and Sharpe 1992, p. 767) through asymmetric adjustment in that product market. Therefore, in as far as asymmetric adjustment in the banks favor is an indicator of market power, a ®nding of no signi®cant asymmetry at the product level would be consistent with Shaffer's (1993) aggregate level conclusion, that the Canadian banking industry resembles a competetive market. On the other hand, a ®nding of signi®cant asymmetries in the banks' favor would be consistent with the conclusions of Hannan and Berger (1991) and Neumark and Sharpe (1992) regarding the signi®cant relationship between concentration and asymmetric rigidities in the banks' favor found in the shorter-term U.S. market. 2.2. Consumer characteristics A wide variety of explanations for asymmetric interest rate rigidity have been given in the literature based on the characteristics of consumers. Essentially, all these explanations provide reasons for why a bank may have market power to asymmetrically alter its prices to its own advantage. Potential causes of this market power include the level of consumer sophistication, potential search costs, and potential switching costs faced by consumers. Most of these models have been invoked in the context of short-term consumer-type products in the United States, such as money market deposit accounts (MMDA) and credit INTEREST RATE ASYMMETRIES 9 card accounts. However, it remains an important question as to whether these explanations are applicable to longer-term-type products, such as mortgages and long-term, ®xedinterest deposits (GICs). One explanation for interest rate asymmetries in deposit markets (which also can be applied to loan markets) given by Rosen (1995) is that some consumers are ``sophisticated'' and some are ``unsophisticated.'' In his model, Rosen (1995) argues that sophisticated consumers are aware of all market interest rates, while unsophisticated consumers are assumed to know only the current and previous interest rates of their own bank. In essence, the greater the proportion of unsophisticated consumers in the market, the greater is the ability of banks to asymmetrically adjust their interest rates to their own advantage, giving the banks some degree of market power. It is an empirical question as to whether the unsophisticated consumer argument can be applied across different product markets. There could be a greater probability that a consumer will act in an ``unsophisticated'' manner for smaller, short-term deposits and loans than to longer-term deposits and loans, which often involve greater sums of money. Also, a consumer who is ``unsophisticated'' in the market for short-term money market deposits and credit card loans may be ``sophisticated'' in the market for mortgages and long-term deposits. A ®nding that interest rates are not signi®cantly asymmetric in the banks favor will be inconsistent with the argument that banks adjust their rates asymmetrically because of unsophisticated consumers in that particular market. The degree of sophistication of consumers is related to the issues of search costs and switching costs, both of which have been invoked to explain interest rate asymmetries in the market for credit card debt in the United States. The search cost argument (e.g., Calem and Mester, 1995) states that consumers have large costs in searching for more advantageous interest rates and so do not search for alternative suppliers of ®nancial products, giving the banks some degree of market power. Switching costs occur when a borrower faces costs in switching from one bank to another. If switch costs give banks market power, then the banks may be able to asymmetrically adjust interest rates in their own favor. As in the unsophisticated consumers hypothesis, it is an empirical question as to whether the issues of search and switching costs are relevant across the whole spectrum of different consumer interest rates or apply only in markets for shorter-term ®nancial products. The issue here essentially is one of the opportunity cost of not ``shopping'' for a better deal. It would be expected that the smaller the opportunity cost of not shopping, the greater is the market power of banks and thus an increasing tendency toward rates being asymmetric in the banks favor. The opportunity cost of not shopping is a function of both the maturity and size of a ®nancial product. It is interesting to note that all the unsophisticated borrower, searching cost, and switching cost explanations are based on the premise that banks have market power to asymmetrically adjust rates in their own favor (loan rates sticky downward, deposit rates sticky upward). However, an argument has been made by Hannan and Berger (1991) that rates could be asymmetrically adjusted in favor of the consumerÐwhat they term the negative customer reaction hypothesis. This argument states that, in a competitive market, it may be in the banks interest to adjust rates asymmetrically in the consumers favor (loan rates sticky upward, deposit rates sticky downward) to maintain consumers. They argue 10 BARRY SCHOLNICK that consumers valued by a bank may move to alternative providers of ®nancial services if they perceive that their bank is not asymmetrically adjusting interest rates in their favor. Whether this hypothesis is relevant is an empirical matter and can be evaluated by determining the direction (sticky upward or downward) of any signi®cant asymmetry. 2.3. Asymmetric information While the market concentration and consumer behavior arguments can apply to both loan rate as well as deposit rate asymmetries, the asymmetric information argument for asymmetric interest rate adjustment applies only to bank loans and not to bank deposits. Perhaps the most well-known theory linking asymmetric information and interest rates is that of Stiglitz and Weiss (1981). This hypothesis concludes that loan rates should be sticky upward. This is in contrast to most of the concentration and consumer behavior explanations just given that loan rates should be sticky downward. While much of the focus on the Stiglitz and Weiss argument has revolved around their prediction of credit rationing (i.e., the quantity of loans), it also is possible to test their model by examining whether interest rates are sticky (i.e., the price of loans). Berger and Udell (1992) argue that a ``key testable implication of credit rationing is that the commercial loan rate is `sticky', that is that it does not fully respond to changes in open market rates'' (p. 1048). The Stiglitz and Weiss (1981) argument is that borrowers with a higher risk preference will be attracted when banks raise their lending rates. Only borrowers whose projects have a higher expected return, and thus a higher degree of risk, will demand funds at higher rates. The result is that banks will be reluctant to raise lending rates, even if market rates rise. The expected cost to the banks of not raising their own rates when the marginal cost of funds increases will be offset by the bene®t from not encouraging higher risk borrowers to borrow. The model predicts that lending rates should be signi®cantly more sticky upward than downward. When market rates are falling, banks in this model do not face the adverse selection problem described by Stiglitz and Weiss. Ausubel (1991) notes that ``StiglitzWeiss predict that interest rates are `upward-sticky' when costs rise and if anything interest rates are `downward-quick' '' ( p. 71). 3. Methodology The previous section listed a wide variety of theoretical explanations for asymmetric interest rate adjustment, including market concentration, degree of consumer sophistication, searching costs, switching costs, negative customer reactions, and adverse selection. There are differences among these theories in terms of the direction of the asymmetries that they predict, for example, the concentration and consumer behavior hypotheses predict that loan rates will be sticky downward, while the adverse selection and negative customer reaction hypotheses predict that loan rates will be sticky upward. The empirical aim in this paper is to test whether consumer interest rates in a variety of both loan and deposit products are either sticky upward, sticky downward, or not signi®cantly asymmetric. A ®nding of no signi®cant asymmetry in a particular product market implies INTEREST RATE ASYMMETRIES 11 that the various explanations of asymmetric adjustment are not consistent with the data in that particular market and thus that the possible impact of asymmetries on the transmission mechanism of monetary policy will be reduced. This paper utilizes time series techniques to evaluate whether signi®cant asymmetries exist in different consumer interest rates. The use of the time series relationship between wholesale and retail interest rates to examine the asymmetric adjustment of commercial bank interest rates follows many other authors who examine these issues (Moore et al., 1990; Hannan and Berger, 1991; Neumark and Sharpe, 1992; Rosen, 1995, Hutchison, 1995; Mester and Saunders, 1995, Scholnick, 1996). All these authors utilize an important advantage in conducting research on the market for ®nancial products, which is that time series data on the most important variable cost to banks, the costs of funds, is readily available. It thus is possible to examine how prices (retail rates set by banks) respond to changes in their main variable cost (wholesale rates set in the money markets). The time series methodology used here is the cointegration and error correction approach. The use of cointegration to examine the time series relationship between different interest rates has become common in the term structure literature that examines the relationship between market-determined interest rates of different maturities (e.g., Campbell and Shiller, 1987; Engsted and Tanggaard, 1994; Hall, Anderson, and Granger, 1992; and many others). This paper follows Diebold and Sharpe (1990), Moore et al., (1990), Scholnick (1996), and Heffernan (1997) in using cointegration and error correction mechanisms to examine wholesale and retail interest rates. The cointegration framework is an appropriate methodology to use if it is concluded that the wholesale and retail interest rate series are not stationary. Standard OLS regression on nonstationary parameters would not allow for inference (hypothesis tests) on the estimated parameters, but the cointegration procedure allows for such testing. If cointegration is found between the two nonstationary series, then this implies that wholesale and retail interest rates form a long-run stationary equilibrium. This means that disequilibria between the series will occur in the short run following an exogenous shock but that, in the long run, the relationship between the series will return to an equilibrium. If it is concluded that a long-run cointegrating vector exists between two nonstationary series then the Engle and Granger (1987) representation theorem states that a short-run error correction mechanism must exist. The error correction mechanism is used to model the short-run disequilibrium dynamics of the cointegrating relationship. The coef®cient on the error correction term is indicative of the rate at which the retail rate moves back to the long run equilibrium position over time. Moore et al. (1990), Scholnick (1996), and Heffernan (1997) all emphasize the estimation of the error correction coef®cient in terms of examining the short-run dynamics of retail interest rates in response to changes in wholesale rates. Once a standard error correction model has been estimated, it is possible to test for asymmetries of the endogenous retail rate in response to exogenous shocks to the wholesale rate. The main disequilibrium dynamics of interest in this paper are whether retail rate adjustment is signi®cantly asymmetric. To examine whether retail rates adjust asymmetrically this paper utilizes the asymmetric error correction mechanism introduced by Granger and Lee (1989) and used, for example, by Moore et al. (1992), Lee and Koray (1994), and Scholnick (1996). A full description of nonlinear cointegration and error 12 BARRY SCHOLNICK correction models is given in Granger and Terasvirta (1993). The Granger and Lee (1989) procedure essentially is a dummy variable technique that allows for a test of whether the speed of adjustment of the dependent variable (retail rate) varies under different conditions that may be of interest. In the literature on asymmetric adjustment of bank interest rates, two different types of asymmetries have been evaluated. The ®rst type of asymmetry, used by Hannan and Berger (1991), tests for whether the speed at which the retail rate responds is different when the wholesale rate is increasing compared to when it is decreasing. The second type of asymmetry, examined by Newmark and Sharpe (1992), Moore et al. (1990), and Scholnick (1996), examines whether asymmetries exist if the retail rate is above or below a long-run ``equilibrium'' value relative to the wholesale rate. This tests whether retail rates respond differently when they are ``too high'' (i.e., above their long-run equilibrium level with respect to the wholesale rate) than when they are ``too low'' (i.e., below their longrun equilibrium level with respect to the wholesale rate). This paper follows Rosen (1995) in empirically examining both the wholesale rate increasing/decreasing asymmetry as well as the retail rate too high/too low asymmetry. The two types of asymmetries to some extent are similar, in that in both cases the asymmetry can be in favor of either the bank or the consumer. Therefore, evidence from either type of asymmetry can be considered evidence in favor of the different theoretical explanationsÐconcentration, consumer characteristics, or asymmetric informationÐ discussed previously. However, the two types of asymmetries clearly are different, and one type can exist in the same data where the other is not evident. It is possible, for example, for the wholesale rate to increase (which could result in a rise in the endogenous retail rate) while the retail rate remains above its long-run equilibrium relationship relative to the wholesale rate (which could be corrected by a fall in the retail rate). For this reason, both types of asymmetry are examined empirically here. In short, the cointegration/error correction mechanism methodology used here has three important advantages in terms of modeling the relationship between wholesale and retail interest rates. First, this methodology is designed to deal with nonstationary time series data such as nominal interest rates; second, the methodology allows for the estimation of a coef®cient that indicates the short-run dynamics of retail rates following changes in wholesale rates; and third, it is possible to examine different types of asymmetries within the error correction model. The following discussion provides some of the formal econometric details related to the cointegration/error correction methodology used here. The Johansen (1991) cointegration methodology has become standard in the cointegration literature. The Johansen (1991) procedure begins with a simple VAR model of order k: X t m Pi Xtÿ1 Pk Xtÿk ei 1 where X t is a p-dimensional vector of I(1) or nonstationary variables, m is a constant term, Pi . . . Pk are p6p-dimensional matrices of parameters, and the error term et is a vector of independent and identically distributed Gaussian variables. This model can be rewritten in the following format DXt m Gl DXtÿ1 Gkÿ1 DXtÿk1 PXtÿk e 2 13 INTEREST RATE ASYMMETRIES where Gi ÿ I ÿ P1 ÿ Pi ; i 1; . . . ; k ÿ 1 3 P ÿ I ÿ ÿ Pk Johansen shows that the reduced rank of P will determine the number of cointegrating vectors in the system, r. Johansen proposed two different likelihood ratio tests to determine the value of r: the maximal eigenvalue test and the trace test. The matrix P can be factorized so that P ab0 4 where both a and b are p6p matrices. The b matrix is the matrix of cointegrating vectors, and the a matrix can be interpreted as the factor loadings parameters associated with the cointegrating vectors. The Johansen procedures provides estimates of a and b and allows inference testing on a and b. In the term structure literature using cointegration models (e.g., Hall et al., 1992; Engsted and Tanggaard, 1994), it is argued that the number of cointegrating vectors r in a system of n different nonstationary interest rate series should equal n ÿ 1. Having n ÿ 1 cointegrating vectors implies that one nonstationary common trend ``drives'' (Hall et al., 1992) the system of interest rates. If there are n cointegrating vectors (i.e., P is of full rank), then the system as a whole would be stationary. The data used here examine wholesale and retail interest rates of the same maturity rather than term structure data, but it also can be expected that, in such a system of n nonstationary interest rates, there should be less than n cointegrating vectors or else the system as a whole would be stationary. The cointegration equations used in this paper only have n 2 (wholesale and retail rates); therefore, this paper tests the hypotheses of r 0, r 1, and r 2. If r 0, then no cointegrating vector exists; if r 2, then the system as a whole is stationary; but if r 1 then cointegration in the nonstationary system cannot be rejected. It is possible to utilize the Johansen methodology to test for weak exogeneity within the context of wholesale and retail interest rate systems (see Ericsson, 1992 and Ericsson and Irons, 1994). Weak exogeneity is an indication of the long-run relationship between retail and wholesale rates. (Strong causality refers to weak exogeneity in conjunction with shortrun Granger causality.) Wholesale rates would be expected to be weakly exogenous in the wholesale-retail system because they are determined in the context of the wholesale money market, with no reference to the retail market. On the other hand, the retail rate would not be expected to be weakly exogenous in the wholesale-retail system but weakly endogenous, because the retail rate should respond to shifts in the wholesale rate. In the context of the Johansen methodology, weak exogeneity is evaluated by hypothesis tests on the factor loading parameters in the a matrix. To test the hypothesis that retail rates are weakly exogenous, the a parameter should not be signi®cantly different from 0 in the wholesale equation, indicating that past disequilibria in the wholesale-retail system does not signi®cantly affect the wholesale rate. The a parameter in the retail equation, on the other hand, should be signi®cantly different from 0, indicating that past disequilibria in the wholesale-retail system indeed has an impact on the current retail rate. The results of tests for weak exogeneity are presented in the paper. 14 BARRY SCHOLNICK Once tests on the number of cointegrating vectors as well as the weak exogeneity within the system have been completed using the Johansen methodology, it is possible to examine short-run error correction equations, in particular asymmetric error correction equations, which are the key empirical test of this paper. Within the context of wholesale and retail rates the simplest version of the standard error correction model can be written as Drt c d1 ztÿ1 Dwt et 5 where r is the retail rate, w is the wholesale rate, and z is the stationary error correction mechanism (ecm) term derived from the error term of the cointegration relationship between r and w. In terms of the Johansen system above, the vector Xt is de®ned here as wt , rt 0 , such that the error correction term equals w ÿ brtÿk . Based on the weak exogeneity tests conducted in the context of the Johansen methodology, the retail rate can be taken as endogenous to the wholesale-retail system and to respond to exogenous shocks to the market-determined wholesale rate. The error correction parameter, d1 , indicates the extent to which the retail rate shifts back to the long-run equilibrium position following a shock to the wholesale rate. The asymmetric error correction models are similar to the standard ecm models except that the ecm term is split into two terms, based on a dummy-variable procedure. The ®rst type of asymmetry splits the ecm series based on whether the wholesale rate is increasing or decreasing. This model can be written as ÿ Drt c d2 z tÿ1 d3 ztÿ1 d4 Dwt et 6 where z z if Dw40 z 0 if Dw50 zÿ z zÿ 0 if Dw50 if Dw40 7 and 8 The second type of asymmetry of interest concerns the case where the endogenous retail rate is either above or below its long-run equilibrium position. The long-run equilibrium within the cointegrating system occurs when the error correction term (z) is equal to 0. Thus, it is possible to divide the error correction series into two, depending on whether the retail rate is above or below its long-run equilibrium with respect to the wholesale rate. When the retail rate is above (below) its long-run equilibrium, the error term, z, in the long-run retail rate equation will be positive (negative). The structure of the second asymmetric error correction model is the same as the ®rst: ÿ Drt c d5 z tÿ1 d6 ztÿ1 d7 Dwt et except that, in this case, the error correction series is split so that 9 INTEREST RATE ASYMMETRIES 15 z z z 0 if z40 if z50 10 zÿ z zÿ 0 if z50 if z40 11 and The test of whether retail interest rates adjust asymmetrically is whether d2 is signi®cantly different from d3 or whether d5 is signi®cantly different from d6 . These tests are conducted using a Wald test. A ®nding that d2 is not signi®cantly different from d3 implies that there is no signi®cant asymmetry where the wholesale rate is increasing as opposed to decreasing. Similarly, a ®nding that d5 is not signi®cantly different from d6 implies that there is no signi®cant asymmetry where the retail rate is above or below its equilibrium level. These asymmetries are possible within the cointegration model, which restricts the ecm series to be stationary (Granger and Lee, 1989). 4. Data and results Data on most of the Canadian retail interest rates (on one-, three-, and ®ve-year mortgages; one-, three-, and ®ve-year GICs, and saving deposit rates) as well as the relevant wholesale interest rate data are taken from the CANSIM data CD-ROM, published by Statistics Canada. All the Canadian data are weekly and, with one exception, cover the period 1982± 1995. All of the Canadian data series are reproduced in ®gures 1 to 4. Savings deposit rates are the exception, in that the data covers the period from 1982 to the end of 1993. After this date, the Canadian banks ceased to offer this particular product, although similar products Figure 1. Canadian ®ve year rates. 16 BARRY SCHOLNICK Figure 2. Canadian three year rates. where introduced in the process of ®nancial innovation. (After 1993, the CANSIM savings deposit data shows a constant interest rate of very close to 0.) All the data are recorded on the Wednesday of each week. The data on mortgage, savings deposit, and GIC rates are the average across the big six banks. Because of the Figure 3. Canadian one year rates. INTEREST RATE ASYMMETRIES 17 Figure 4. Canadian car loan and saving deposit rates. concentrated nature of the banking system in Canada, usually all the banks quote the same interest rate for each of these products at any given time. Information on interest rates on new car loans was provided by the Bank of Canada, which collects weekly time series information on new car interest rates charged by the big-six banks. Figure 5. U.S. 30-year rates. 18 BARRY SCHOLNICK The wholesale rate is taken as the relevant maturity money market interest rate, which are either Canadian Treasury bond rates for maturities over one year or Canadian T bill rates for maturities of one year or less. Three- or ®ve-year Treasury bond rates are used as the wholesale rate for three- and ®ve-year mortgage rates, three-year car loan rates, and three- and ®ve-year GIC rates. The one-year T bill rate is taken as the wholesale rate for one-year mortgages and one-year GICs, and the three-month T bill rate is taken as a proxy for the wholesale rate for savings deposits. For comparison against both the longer-term Canadian products and the shorter-term U.S. products examined in the literature, 30-year mortgage rates from the United States also are examined here. The time period used is the same as that used for the Canadian data. This data set is collected and published by the Freddie Mac organization. The mortgage data set is the monthly average rate on ®xed-rate, 30-year mortgages. The wholesale rate is taken as the 30-year U.S. government constant-maturity Treasury bills rate. The U.S. data series are reproduced in ®gure 5. Augmented Dickey Fuller (ADF) unit root stationarity tests are conducted on the levels and ®rst differences of all the interest rate series. The results are reported in table 1. In all Table 1. Augmented Dickey Fuller unit root tests Level Variable No Trend Trend Difference Mortgage 5 Mortgage 3 Mortgage 1 ÿ 0.71 ÿ 0.96 ÿ 0.69 ÿ 1.81 ÿ 1.44 ÿ 1.31 ÿ 8.69 ÿ 14.91 ÿ 8.02 GIC 5 GIC 3 GIC 1 ÿ 0.63 ÿ 0.89 ÿ 0.54 ÿ 2.02 ÿ 1.82 ÿ 1.44 ÿ 9.44 ÿ 13.75 ÿ 7.78 Savings deposit Car loan ÿ 1.30 ÿ 0.86 ÿ 1.81 ÿ 2.04 ÿ 15.90 ÿ 18.49 T T T T ÿ 2.45 ÿ 2.40 ÿ 2.09 ÿ 2.39 ÿ 2.70 ÿ 2.68 ÿ 2.25 ÿ 2.86 ÿ 15.36 ÿ 12.03 ÿ 15.62 ÿ 7.92 U.S. mortgage 30 U.S. T bill 30 ÿ 0.59 ÿ 0.71 ÿ 3.01 ÿ 2.85 ÿ 12.25 ÿ 11.30 95% Critical values ÿ 2.86 ÿ 3.41 ÿ 2.86 bond 5 bond 3 bill 1 bill 3 m Notes. Estimated equation: dy m aytÿ1 X ck dytÿk ut Null hypothesis: a 0 Null hypothesis: Test of a unit root Lag length (k) is determined by the highest signi®cant lag coef®cient (c) in the ADF equation. 19 INTEREST RATE ASYMMETRIES cases, the null hypothesis can be rejected for the differenced series but cannot be rejected for the levels series. It therefore can be concluded that the interest rate series are nonstationary. This ®nding is common to the many papers in the literature using the cointegration methodology to model interest rates. A standard procedure is used to determine the lag length of these ADF tests. It can be noted however, that similar results are found with the use of any lag from 0 to 12. The second stage is to test for cointegration between each of the retail rates and the relevant wholesale rate. This is done by estimating the two different statistics derived by Johansen and Juselius (1992), the rank and eigenvalue statistics. To determine the lag length of the VAR for the Johansen and Juselius (1992) procedure, the Schwartz criteria is used. The maximal eigenvalue and trace tests evaluate the hypothesis of one or two cointegrating vectors. The results are given in table 2. In all cases, both the eigenvalue and the trace tests provide evidence that it is not possible to reject the hypothesis of one cointegrating vector between the wholesale and retail rates (although, in the cases of savings deposits, car loans, and 30-year U.S. mortgages, this can only be concluded at 5% rather than 1% signi®cance levels). With one exception, it is possible to reject the hypothesis of two cointegrating vectors, which is consistent with the hypothesis that a single nonstationary trend drives the stationary cointegrating system. (In the case of the three-year GIC interest rate, the hypothesis of two cointegrating vectors can be rejected at the 1% signi®cance level but not at the 5% signi®cance level.) The Johansen procedure results also provide evidence on weak exogeneity within the different retail-wholesale cointegrating systems. Table 3 provides evidence on whether the estimated parameters from the a matrix are signi®cantly different from 0. In all cases, the Table 2. Johansen and Juselius (1992) cointegration tests Maximal Eigenvalue Test Trace Test H0 H1 r0 r1 r1 r2 r0 r1 r1 r2 Mortgage 5ÐT bond 5 Mortgage 3ÐT bond 3 Mortgage 1ÐT bill 1 GIC 5ÐT bond 5 GIC 3ÐT bond 3 GIC 1ÐT bill 1 Savings depositÐT bill 3mth Car-loanÐT bond 3 U.S. Mortgage 30ÐU.S. T bill 30 28.35** 46.42** 43.94** 22.54** 24.25** 62.32** 13.82* 13.29* 14.19* 3.58 3.60 2.85 3.46 4.22* 2.43 1.59 1.22 3.4 37.92** 50.02** 46.79** 26.00** 28.48** 64.76** 15.41* 14.53* 17.59** 3.58 3.60 2.85 3.46 4.22* 2.43 1.59 1.22 3.4 Notes. The reduced rank (r) of the following P matrix determines the number of cointegrating vectors: DX t m G1 DXtÿ1 . . . Gkÿ1 DXtÿk1 PXtÿk e Osterwald-Lenum (1992) critical values for cointegration tests: **1% critical value. *5% critical value. VAR lag length is determined by Schwartz criteria. 20 BARRY SCHOLNICK Table 3. Estimated alpha and beta from the Johansen cointegration procedure Mortgage 5 Mortgage 3 Mortgage 1 GIC 5 GIC 3 GIC 1 Saving deposit Car loan U.S. Mortgage 30 Normalized b a (retail) w2 H0 : a 0 a (wholesale) w2 H0 a 0 1.20 1.18 1.08 1.00 0.97 0.89 1.17 1.37 1.14 0.05 0.07 0.06 0.04 0.05 0.11 0.04 0.01 0.08 22.72[0.00]** 42.67[0.00]** 41.00[0.00]** 10.63[0.00]** 18.35[0.00]** 58.54[0.00]** 19.21[0.00]** 12.23[0.00]** 6.01[0.01]* 0.01 0.01 0.02 0.04 0.00 0.06 0.00 0.00 0.01 0.58[0.44] 0.64[0.42] 2.24[0.13] 6.06[0.01]* 0.27[0.60] 7.05[0.00]** 0.02[0.88] 0.08[0.77] 0.19[0.65] Notes. Normalized b is from the estimated cointegrating vector of the wholesale rate on the retail rate. Factor loading coef®cients a are from each of the retail and wholesale equations in the cointegrating system are taken from the a matrix estimated by the Johansen methodology. Test for weak exogeneity: If a(retail) is signi®cantly different from 0 and a(wholesale) is not signi®cantly different from 0, then we cannot reject the hypothesis that the wholesale rate is weakly exogenous. Table 4. Symmetric error correction mechanisms D Mortgage 5 D GIC5 D Mortgage 3 D GIC3 ÿ 0.01 ( ÿ 1.72) 0.00 ( ÿ 1.58) ÿ 0.01 ( ÿ 1.94) ÿ 0.01 ( ÿ 1.81) D Wholesale 0.15 (4.95) 0.13 (4.80) 0.18 (6.11) 0.16 (6.02) ztÿ1 0.30 (9.76) 0.29 (10.34) 0.29 (9.79) 0.31 (11.41) R2 dw 0.14 2.01 0.15 2.03 0.16 1.94 0.19 2.02 Constant D Mortgage 1 D GIC1 D Car Loan D Savings Deposit D US Mortgage 30 ÿ 0.01 ( ÿ 0.62) ÿ 0.01 ( ÿ 1.69) ÿ 0.01 (1.53) ÿ 0.01 ( ÿ 2.44) ÿ 0.02 ( ÿ 2.21) D Wholesale 0.19 (3.15) 0.15 (6.70) 0.12 (3.02) 0.26 (7.75) 0.69 (16.01) ztÿ1 0.26 (4.29) 0.28 (11.84) 0.32 (7.56) 0.56 (16.07) 0.42 (7.29) R2 dw 0.12 2.30 0.21 1.94 0.10 2.10 0.40 2.10 0.71 1.80 Constant Notes. Estimated equation: Drt c d1 ztÿ1 Dwt et The t statistics are in parentheses. 21 INTEREST RATE ASYMMETRIES Table 5. Asymmetric error correction mechanisms (wholesale increasing/decreasing) D Mortgage 5 D GIC5 D Mortgage 3 D GIC3 ÿ 0.01 ( ÿ 1.80) 0.00 (0.22) ÿ 0.01 ( ÿ 1.76) 0.00 (0.56) D Wholesale 0.15 (4.93) 0.13 (4.86) 0.17 (6.04) 0.16 (6.05) z tÿ1 0.34 (6.10) 0.22 (4.26) 0.31 (5.90) 0.27 (5.62) zÿ tÿ1 0.26 (4.70) 0.36 (7.24) 0.27 (5.28) 0.34 (7.41) R2 dw 0.14 2.02 0.16 2.04 0.16 1.95 0.20 2.02 Constant D Mortgage 1 D GIC1 D Car Loan ÿ 0.01 ( ÿ 0.77) ÿ 0.01 ( ÿ 1.75) ÿ 0.02 ( ÿ 2.19) 0.00 (0.90) ÿ 0.04 ( ÿ 2.96) D Wholesale 0.19 (3.12) 0.15 (6.63) 0.10 (2.57) 0.25 (7.68) 0.70 (16.06) z tÿ1 0.31 (2.76) 0.25 (6.60) 0.45 (7.19) 0.35 (5.43) 0.54 (6.20) zÿ tÿ1 0.22 (2.18) 0.31 (7.16) 0.14 (1.91) 0.68 (14.57) 0.30 (3.27) R2 dw 0.12 2.30 0.21 1.95 0.42 2.07 0.72 1.72 Constant 0.11 1.99 D Savings Deposit D US Mortgage 30 Estimated equation: ÿ Drt c d2 z tÿ1 d3 ztÿ1 d4 Dwt et where z z if ÿ z z if Dw40 Dw50 or or z 0 ÿ z 0 if Dw50 if Dw40 The t statistics are in parentheses. hypothesis that the a parameter associated with the retail rate equation is equal to 0 can be rejected. This implies that previous disequilibria in the wholesale-retail system feeds into the determination of the retail rate. In all but two cases, it is possible to conclude that the a parameter associated with the wholesale rate equation is not signi®cantly different from 0, indicating that past disequilibria have no impact on the wholesale rate. In these cases it can be concluded that the wholesale rate is weakly exogenous and that the retail rate is endogenous to the wholesale-retail rate system. These conclusions are consistent with the argument that the wholesale rate is determined in the money market with no reference to the retail rate but that the wholesale rate in¯uences the retail rate. Table 3 also provides estimates of the normalized b parameters from the Johansen equations, which estimate the long-run equilibrium relationship between the wholesale and retail rates. 22 BARRY SCHOLNICK Table 6. Asymmetric error correction mechanisms (retail above/below equilibrium) D Mortgage 5 D GIC5 D Mortgage 3 D GIC3 ÿ 0.01 ( ÿ 1.81) 0.00 (0.18) ÿ 0.01 ( ÿ 1.50) ÿ 0.00 ( ÿ 0.53) D Wholesale 0.15 (4.92) 0.13 (4.86) 0.16 (5.39) 0.16 (6.06) z tÿ1 0.34 (6.08) 0.22 (4.28) 0.31 (5.51) 0.27 (5.51) zÿ tÿ1 0.26 (4.70) 0.37 (7.19) 0.29 (5.35) 0.35 (7.37) R2 dw 0.14 2.02 0.16 2.04 0.17 1.92 0.20 2.02 Constant D Mortgage 1 D GIC1 D Car Loan ÿ 0.01 ( ÿ 0.79) ÿ 0.01 ( ÿ 1.74) ÿ 0.02 ( ÿ 2.92) 0.00 (0.84) ÿ 0.04 ( ÿ 2.36) D Wholesale 0.19 (3.12) 0.16 (6.65) 0.10 (2.54) 0.25 (7.62) 0.69 (16.08) z tÿ1 0.31 (2.78) 0.25 (6.51) 0.46 (7.09) 0.31 (4.67) 0.52 (5.36) zÿ tÿ1 0.22 (2.15) 0.31 (7.08) 0.13 (1.75) 0.71 (14.81) 0.29 (2.39) 0.21 2.81 0.11 1.99 0.42 1.99 0.72 2.06 1.76 Constant R2 0.10 dw D Savings Deposit D U.S. Mortgage 30 Estimated equation: ÿ Drt c d5 z tÿ1 d6 ztÿ1 d7 Dwt et where z z if ÿ z z if z40 or z50 or z 0 ÿ z 0 if z50 if z40 The t statistics are in parentheses. Once it is concluded that a cointegrating vector exists, it is possible to model the shortrun dynamics of the system using the error correction mechanism. Table 4 provides evidence on the short-run speed of adjustment back to equilibrium for the standard symmetric ecm equations. Tables 5 and 6 provide evidence on the two different types of asymmetric error correction mechanisms. Table 5 examines tests for asymmetries when the wholesale rate is increasing compared to when it is decreasing. Table 6 examines whether asymmetries exist when the retail rate is above its long-run equilibrium with respect to the wholesale rate compared to when it is below its long-run equilibrium. The key results of this paper are provided in table 7. The table reports the Wald tests of equality of the two asymmetric ecm terms reported for each product market in tables 5 and 6. The results indicate that, in most of the different product markets examined, 23 INTEREST RATE ASYMMETRIES Table 7. Wald test of asymmetry: w2 H0 coefficient on z coefficient on zÿ Type of Asymmetry Wholesale Increasing/Decreasinga Retail Above/Below Equilibriumb Mortgage 5 Mortgage 3 Mortgage 1 GIC 5 GIC 3 GIC 1 Savings deposit Car loan U.S. Mortgage 30 0.79[0.37] 0.28[0.60] 0.23[0.62] 2.95[0.09] 0.87[0.35] 0.62[0.43] 13.90[0.00]** 8.92[0.00]** 2.93[0.08] 0.81[0.35] 0.16[0.68] 0.26[0.60] 2.78[0.09] 0.94[0.33] 0.62[0.43] 20.14[0.00]** 8.91[0.00]** 1.59[0.20] a Test of whether d2 d3 from eq. (6) (table 5). Test of whether d5 d6 from eq. (9) (table 6). **1% critical value. The p value is in brackets. b neither type of asymmetry was found to be signi®cant. In the cases of the Canadian car loan and savings deposit market, both types of asymmetry where found to be signi®cant; and that asymmetry was found to be in favor of the bank rather than the consumer. 5. Discussion The empirical results can be used to evaluate the different theoretical explanations for the asymmetric interest rate adjustment. While the evidence here is not able to de®nitively distinguish between the various theoretical explanations, the conclusions that interest rates are either sticky upward, sticky downward, or not signi®cantly asymmetric can be used to reject some of the various explanations in the different product markets examined. A ®nding of no asymmetry also will have implications for evaluating the possible impact of the explanations raised here on the transmission mechanism of monetary policy. In terms of the concentration hypothesis, because asymmetries exist in some products provided by the big six Canadian banks but not in others, the evidence on this hypothesis is mixed. In some Canadian product markets, concentration is associated with asymmetric adjustment but in other product markets, no asymmetries are evident even though the markets are concentrated. Note that the evidence from the 30-year U.S. mortgage market should not be used to evaluate the concentration hypothesis, because this is aggregate data across the United States and most mortgage markets in the United States regional in nature. In Canada, on the other hand, the national market can be considered the relevant market to examine because the same banks compete across the entire country, and they advertise and offer the same interest rates across the country. It therefore can be argued that it is possible to use the country-level data examined here to evaluate the concentration hypothesis in the Canadian context. 24 BARRY SCHOLNICK The evidence here can also shed light on the consumer behavior hypotheses: that banks have a degree of market power because of some element of consumer behavior (consumers being unsophisticated or facing search or switching costs). The ®nding of no signi®cant asymmetries in most of the longer-term markets is inconsistent with the hypotheses that banks have market power. Hence, these ®ndings are inconsistent with the consumer behavior explanations. However, it is not possible to reject the hypothesis that banks have some degree of market power in the Canadian car loan and savings deposit markets, so it is not possible to reject the hypothesis that the consumer behavior explanations are relevant in these markets. (As noted earlier, neither is it possible to reject the relevance of the concentration hypothesis in these two markets.) One possible explanation for the ®ndings of no signi®cant asymmetries in most of the longer-term markets is the argument that the consumer behavior issues discussed here (unsophisticated consumers, switching costs, search costs) become less relevant in markets for longer-term ®nancial products. This could explain why no signi®cant asymmetries exist in the longer-term Canadian mortgage and GIC markets. Results from the 30-year mortgage market in the United States support this argument. While much of the existing literature (Diebold and Sharpe, 1990; Hannan and Berger, 1991; Hutchison, 1995; Rosen, 1995, and others) has detected asymmetries in many shorter-term U.S. products, no signi®cant asymmetry could be detected here in the 30-year U.S. mortgage series. Therefore, these results indicate that issues of search cost, switching cost, or the sophistication of consumers could becomes less relevant as the maturity of the product increases. A related way of interpreting these results is in terms of the opportunity cost of not searching for a better interest rate. Opportunity cost of not searching is related to both the maturity and size of a ®nancial product. In the products where signi®cant asymmetries are detected, it is possible that the opportunity cost of not searching is relatively low, giving the banks some degree of market power. Savings deposits, for example, typically may involve shorter maturities as well as smaller amounts relative to some of the other products, such as GICs, where no asymmetries are detected. Note that, in all the markets examined here, in no case was it concluded that a signi®cant asymmetry existed in favor of the consumer; that is, loan rates sticky upward or deposit rates sticky downward. It thus is possible to reject the negative customer reaction hypothesis proposed by Hannan and Berger (1991). The ®nal theoretical explanation for asymmetric adjustmentÐthe adverse selection hypothesis of Stiglitz and WeissÐapplies only to loan markets. The ®ndings presented here of no asymmetric adjustment in both the Canadian and U.S. mortgage markets are not consistent with the Stiglitz and Weiss hypothesis, which predicts that loan rates should be signi®cantly sticky upward. Furthermore, the ®nding in the car loan market that rates are sticky downward also is inconsistent with the Stiglitz and Weiss hypothesis. 6. Conclusions A common empirical ®nding in the literature is that short-term consumer interest rates in the United States adjust asymmetrically; that is, they increase at a speed different from the INTEREST RATE ASYMMETRIES 25 speed at which they decrease. This paper examines whether signi®cant asymmetries exist in consumer ®nance product markets that are very different from those examined in the literature. In particular, this paper examines whether signi®cant asymmetries exist in longer-term loan and deposit markets in Canada and the United States. The empirical evidence provided here is that no signi®cant asymmetries could be detected in the markets for longer-term (one-, three- and ®ve-year) mortgage and longerterm (one-, three- and ®ve-year) ®xed-interest deposit (GIC) rates in Canada or in 30-year mortgage rates in the United States. On the other hand, signi®cant asymmetries in favor of the banks can be found in the markets for car loans and savings deposits in Canada. These differences between the different product markets imply that the different theoretical explanations proposed in the literature to explain interest rate asymmetries in shorter-term products in the United States can be considered consistent with the data only in, at most, a subset of ®nancial products used by consumers in Canada and the United States. The data and explanations of interest rate asymmetries from the United States literature would appear to some extent to be market speci®c and cannot be generalized easily to different types of consumer ®nancial products in different countries. The importance of this ®nding lies in evaluating possible distortions to the monetary policy transmission mechanism from the asymmetric adjustment of consumer interest rates. While monetary policy can be transmitted to the economy in many ways, one important channel is through consumer interest rates. If distortions such as the asymmetric adjustment found in short-term U.S. rates are widespread across different consumer ®nancial products, then such distortions could become a concern to macro-economic and monetary policy makers. 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