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www.clevelandfed.org/research/workpaper/index.cfm Working Paper 9001 THE DETERMINANTS OF COMMERCIAL BANK HOLDINGS OF MUNICIPAL SECURITIES: 1985-1988 by William P . O s t e r b e r g W i l l i a m P . O s t e r b e r g i s a n economist a t t h e F e d e r a l Reserve Bank o f C l e v e l a n d . The a u t h o r would l i k e t o thank Robert Avery, Tom Neubig, and James Thomson f o r u s e f u l s u g g e s t i o n s , and Kyle Fleming f o r e x c e l l e n t r e s e a r c h a s s i s t a n c e . The p a p e r was o r i g i n a l l y p r e p a r e d f o r p r e s e n t a t i o n a t t h e December 1989 m e e t i n g s o f t h e A l l i e d S o c i a l Science Association. Working p a p e r s o f t h e F e d e r a l Reserve Bank of C l e v e l a n d a r e p r e l i m i n a r y m a t e r i a l s c i r c u l a t e d t o s t i m u l a t e d i s c u s s i o n and c r i t i c a l conunent. The views s t a t e d h e r e i n a r e t h o s e o f t h e a u t h o r and n o t n e c e s s a r i l y t h o s e o f t h e F e d e r a l Reserve Bank o f C l e v e l a n d o r o f t h e Board o f Governors o f t h e F e d e r a l Reserve System. J a n u a r y 1990 www.clevelandfed.org/research/workpaper/index.cfm Abstract: This paper presents an empirical analysis of commercial bank holdings of municipal securities (munis) from June 1985 through December 1988, using the FFIEC's Reports of Condition and Income. While motivated by previous analyses suggesting that a shift from munis to taxable securities is a primary determinant of the overall impact of the Tax Reform Act of 1986 on bank profitability, this paper does not directly analyze the impact of that legislation. However, the paper modifies the specification of muni demand employed in previous analyses to consider roles for state pledging requirements, realization of capital gains or losses, and the simultaneous provision for loan losses. The results provide some support for including state pledging requirements, realization of capital gains and losses, and the loan loss provisions in analyses of muni holdings. www.clevelandfed.org/research/workpaper/index.cfm I. Introduction The Tax Reform Act o f 1986 (TRA) removed one o f t h e p r i m a r y i n c e n t i v e s f o r commercial banks t o h o l d m u n i c i p a l s e c u r i t i e s by i n c r e a s i n g t o 100 p e r c e n t t h e p r o p o r t i o n o f t h e i n t e r e s t e x p e n s e a s s o c i a t e d with holding municipal s e c u r i t i e s t h a t is disallowed a s a t a x deduction. U n t i l 1 9 8 2 , I n t e r n a l Revenue Code 265, which r e s t r i c t s t h e d e d u c t i b i l i t y o f i n t e r e s t expense a s s o c i a t e d w i t h t a x - e x e m p t s e c u r i t i e s , was g e n e r a l l y n o t a p p l i c a b l e t o t h e a c c o u n t s i n c u r r e d by f i n a n c i a l i n s t i t u t i o n s t o d e p o s i t o r s . The Tax E q u i t y and F i s c a l R e s p o n s i b i l i t y Act o f 1982 e s t a b l i s h e d a m e c h a n i c a l d i s a l l o w a n c e r u l e , a l l o c a t i n g i n t e r e s t expense t o t a x - e x e m p t s i n proportion t o t h e i r share i n the financial i n s t i t u t i o n ' s t o t a l assets. I n i t i a l l y , t h e amount o f t h e expense a l l o c a t e d t h a t w a s d i s a l l o w e d was 1 5 p e r c e n t , b u t t h a t amount was i n c r e a s e d t o 20 p e r c e n t i n 1984. 1 The e x t e n t t o which banks have s w i t c h e d from t a x - e x e m p t t o t a x a b l e s e c u r i t i e s i s a p r i m a r y f a c t o r i n d e t e r m i n i n g t h e impact t h a t TRA h a s h a d on bank p r o f i t a b i l i t y . The s w i t c h t o t a x a b l e s e c u r i t i e s s u b j e c t t o a lower m a r g i n a l c o r p o r a t e t a x r a t e c o u l d b o o s t a f t e r - t a x p r o f i t s i n s p i t e o f changes t o t h e t a x c o d e , s u c h a s r e c a p t u r e o f l o a n l o s s r e s e r v e s , t h a t would t e n d t o d e c r e a s e after-tax profits. I n f a c t , a t l e a s t t h r e e s t u d i e s conducted with pre-TEU d a t a (Neubig and S u l l i v a n [ 1 9 8 7 a , 1987b1, O ' B r i e n and Gelfand [ 1 9 8 7 ] ) c o n c l u d e d t h a t TEU would improve bank a f t e r - t a x profits. The i n f l u e n c e o f TRA on t h e m u n i c i p a l bond market h a s o t h e r dimensions. For e s a m p l e , much r e s e a r c h on t h e m u n i c i p a l bond market www.clevelandfed.org/research/workpaper/index.cfm h a s f o c u s e d on t h e i s s u e o f whether banks a r e ( o r h a v e e v e r b e e n ) t h e m a r g i n a l h o l d e r s o f m u n i c i p a l d e b t ( f o r example, S k e l t o n 119831). Even i f s e l l i n g p r e s s u r e emanating from commercial hanks may now i n f l u e n c e m u n i c i p a l bond y i e l d s , t h e r e now seems t o be a c o n s e n s u s t h a t banks a r e n o t t h e m a r g i n a l i n v e s t o r s . I n t h i s p a p e r , u t i l i z i n g b a l a n c e - s h e e t d a t a from t h e F e d e r a l F i n a n c i a l I n s t i t u t i o n Examination C o u n c i l ' s R e p o r t s o f C o n d i t i o n and Income ( " c a l l r e p o r t s " ) , we a n a l y z e t h e b e h a v i o r o f commercial bank h o l d i n g s o f m u n i c i p a l d e b t from June 1985 t h r o u g h December 1988. However, we do n o t d i r e c t l y s t u d y t h e o v e r a l l impact o f TRA on bank p r o f i t a b i l i t y o r s e e k t o d e t e r m i n e whether banks a r e t h e m a r g i n a l h o l d e r s o f m u n i c i p a l d e b t . R a t h e r , we a r e i n t e r e s t e d i n a n a l y z i n g t h e f a c t o r s d e t e r m i n i n g t h e p o r t f o l i o b e h a v i o r o f commercial b a n k s . S e c t i o n I1 summarizes r e s e a r c h on commercial bank b e h a v i o r i n t h e m u n i c i p a l bond market and s e c t i o n I 1 1 d i s c u s s e s t h e s p e c i f i c a t i o n o f t h e model. S e c t i o n 1 V p r e s e n t s t h e model, and s e c t i o n V d e s c r i b e s t h e d a t a . S e c t i o n V I d e s c r i b e s t h e econometric p r o c e d u r e and r e s u l t s . S e c t i o n VII c o n c l u d e s . 11. R e l a t e d R e s e a r c h A. R e l a t i v e Yields Most r e s e a r c h on t h e m u n i c i p a l bond market h a s f o c u s e d on t h e d e t e r m i n a n t s o f t h e r e l a t i v e y i e l d s between t a x - e x e m p t and t a x a b l e debt. I n t h e o r y , t h e tax-exempt y i e l d d i v i d e d by t h e comparable t a x a b l e y i e l d s h o u l d e q u a l 1 minus t h e e f f e c t i v e m a r g i n a l t a x r a t e . However, t h e mechanism t h a t would e n s u r e t h i s h a s b e e n a n o b j e c t o f much r e s e a r c h . According t o t h e "bank a r b i t r a g e " h y p o t h e s i s , t h e www.clevelandfed.org/research/workpaper/index.cfm r e l e v a n t mechanism i s t h e b u y i n g and s e l l i n g o f m u n i c i p a l d e b t by commercial b a n k s . Banks were t h e r e l e v a n t b u y e r s o f m u n i c i p a l d e b t , s i n c e they could deduct a p o r t i o n of t h e i r i n t e r e s t expense a t t r i b u t a b l e t o c a r r y i n g municipal d e b t . I n M i l l e r ( 1 9 7 7 ) , t h e d i s t r i b u t i o n of n e t w e a l t h among i n v e s t o r s i n d i f f e r e n t t a x brackets determines t h e aggregate c o r p o r a t e d e b t - t o - e q u i t y r a t i o and t h e e f f e c t i v e m a r g i n a l t a x r a t e s f o r c o r p o r a t e d e b t and e q u i t y . The y i e l d on m u n i c i p a l d e b t must b e s u c h t h a t a l l i n v e s t o r s ( o t h e r t h a n t h o s e who p r e f e r c o r p o r a t e d e b t ) a r e i n d i f f e r e n t between e q u i t y and m u n i c i p a l d e b t . As Poterba (1989) h a s p o i n t e d o u t , M i l l e r (1977) i m p l i e s t h a t changes i n p e r s o n a l t a x r a t e s s h o u l d a f f e c t r e l a t i v e y i e l d s w h i l e "bank a r b i t r a g e " i m p l i e s t h a t t h e r e s h o u l d be no e f f e c t . Poterba presents e v i d e n c e t h a t p e r s o n a l t a x changes i n f l u e n c e r e l a t i v e y i e l d s s o t h a t a n e x c l u s i v e f o c u s on bank demand i s i n d e f e n s i b l e i n a s t u d y a t t e m p t i n g t o e x p l a i n r e l a t i v e y i e l d s ( s e e a l s o Fortune [ 1 9 8 8 ] ) . B. Banks a n d T a x e s Kimball (1977) d e s c r i b e s t h e i n f l u e n c e o f t h e t a x code on commercial bank demand f o r m u n i c i p a l s e c u r i t i e s ( m u n i s ) . From s t u d y i n g t h e 1972-1975 p e r i o d , Kimball c o n c l u d e s t h a t l a r g e banks r e l i e d more on n o n - t a x - e x e m p t s h e l t e r s t h a n s m a l l b a n k s , f o r whom t a x - e x e m p t s were t h e p r i n c i p a l s o u r c e o f a f t e r - t a x income. A s a r e s u l t , t h e c o r p o r a t e t a x r a t e change i n 1975 a p p e a r e d t o have h a d a l a r g e r impact on small b a n k s . L e a s i n g and f o r e i g n t a x c r e d i t s i n p a r t i c u l a r were s h e l t e r s dominated by t h e l a r g e r b a n k s . Neubig a n d S u l l i v a n (1987b) f i n d s i z e t o be s i g n i f i c a n t when e n t e r e d a s a proxy for tax shields. However, i n t h e i r s i m u l a t i o n s t u d y , G e l f a n d and www.clevelandfed.org/research/workpaper/index.cfm OfBrien (1987) find no size-related differences in the response of banks to TRA. The principal determinant of banks' holdings of municipal bonds seemed to be total income that could not be sheltered with deductions and credits (see Hendershott and Koch [1980]). This seemed consistent with other studies, which concluded that banks paid much less in taxes than nonfinancial institutions. It seemed that banks could drive tax payments toward zero by purchasing taxable investments to exhaust credits and deductions, then investing the remaining available funds in tax-exempts. Possibly in response to these conclusions and to the difficulty in enforcing IRC Section 265 (which limited deduction of interest expense), TRA removed banks' ability to deduct a portion of the interest expense attributable to carrying municipal bonds. C. TRA's Impact on Banks TRA's impact on banksf holdings of munis involves more than just the removal of interest deductibility for the bulk of municipal bonds. By changing the tax provisions regarding the treatments of loan loss reserves, the alternative minimum tax, investment tax credit, foreign tax credits, and the statutory tax rate, TRA influenced banksf calculations of the amount of taxable income that could be sheltered by means other than munis. In effect, these changes alter the "break-even yield ratio" with which banks must compare actual relative yields. In addition, relative yields have moved significantly since TRA. Both Neubig and Sullivan (1987a, 1987b) and Gelfand and O'Brien (1987) conclude that the recapture of bad debt reserves under TRA . www.clevelandfed.org/research/workpaper/index.cfm will be the most significant impact of TEU on after-tax profits of commercial banks. Prior to TEU, under rules determined by Congress, banks could deduct increases in allowable bad debt reserves. Post-TRA, banks with assets over $500 million can deduct charge-offs net of recoveries but will also have to recapture existing loan loss reserves into taxable income, generally over a four-year period. The calculation of the alternative minimum tax also affects muni demand, since the alternative tax rate has been increased from 15 percent to 20 percent and the base has been expanded. Half of reported book income over the alternative mimimum tax is now included as a preference item. O'Brien and Gelfand conclude that, for banks subject to the alternative minimum tax, "tax-exempt" income will be taxed at an effective 10 percent rate. The repeal of the investment tax credit, effective January 1 , 1986, and the reduction in the tax shield provided by leasing and depreciation would be expected to decrease the value of such activities to banks. In addition, TRA has reduced the value of foreign tax credits by restricting the extent to which foreign tax credits from different countries can be pooled against U.S. tax liabilities. Both Gelfand-O'Brien and Neubig-Sullivan point out that relative yields are not likely to make the purchase of new munis attractive to banks. The only exception may be "qualified-new issues," which retain a 20 percent disallowance. However, such issues are limited to issuers who expect to issue less than $10 million in one year. www.clevelandfed.org/research/workpaper/index.cfm D. Regional Differentials and Supply Factors Kidwell, Koch, and Stock (1987) have documented regional yield differentials in the municipal securities market. The existence of state pledging requirements was one factor explaining the differentials. A variety of regulations have governed financial relations between state and local governments and financial institutions. General revenues of state and local governments often must be deposited in banks within the same state. Banks must then hold municipal securities of the same state as collateral against a portion of such deposits. The required ratio between the collateral and the deposits varies from state to state. In addition, the requirements for state funds may differ from the requirements for funds of political subdivisions; the requirements may be different for "problem" banks; the requirements may differ for banks with deposits exceeding a specified proportion of capital; banks within a state may be allowed to pool assets pledged as collateral; or banks may have to hold collateral against all deposits of the state, not 2 just the uninsured portion. Apparently in response to research showing that such regulations were reflected in the costs of state and local finance, the Advisory Commission on Intergovernmental Relations (1977) recommended that states reduce pledging requirements. It is unclear if the impact of such requirements on the municipal bond market has diminished. One of the rationales for increasing the federal deposit insurance ceiling from $ 2 0 , 0 0 0 to $ 4 0 , 0 0 0 was to reduce effective pledging requirments. www.clevelandfed.org/research/workpaper/index.cfm The t a x t r e a t m e n t o f c o r p o r a t e income a l s o d i f f e r s among states. More t h a n j u s t t h e r a t e s c h e d u l e s v a r y . There may be d i f f e r e n c e s i n whether t h e f e d e r a l t a x b a s e i s u t i l i z e d , whether t h e r e i s a minimum t a x r u l e , whether t h e r e i s a d i f f e r e n t r a t e f o r f i n a n c i a l i n s t i t u t i o n s , o r whether t h e r e i s a t a x on t o t a l c a p i t a l o r a s s e t s . 3 Forbes and Leonard (1984) concluded t h a t s t a t e t a x d i f f e r e n t i a l s were s i g n i f i c a n t d e t e r m i n a n t s o f y i e l d d i f f e r e n t i a l s . E. Timing o f C a p i t a l Loss R e a l i z a t i o n S i n c e c a p i t a l g a i n s and l o s s e s a l s o i n f l u e n c e t a x a b l e income, f a c t o r s t h a t i n f l u e n c e r e a l i z a t i o n independently of gross purchases may i n f l u e n c e t h e n e t change i n t h e muni p o r t f o l i o . Although i t i s c l e a r l y p o s s i b l e f o r a bank t o r e a l i z e g a i n s o r l o s s e s and t o keep muni h o l d i n g s c o n s t a n t w i t h new p u r c h a s e s , t h e new bonds may n o t b r i n g t h e same t a x b e n e f i t s a s t h e o l d bonds. Neubig and S u l l i v a n (1987b) a t t e m p t t o t a k e a c c o u n t of t h e m a t u r i t y s t r u c t u r e o f t h e e x i s t i n g muni p o r t f o l i o s i n t h e i r a n a l y s i s of t h e impact o f TRA. However, w h i l e i n f o r m a t i o n a b o u t m a t u r i t y would be v a l u a b l e i n d e t e r m i n i n g t h e maximum l o s s o r g a i n s t h a t c o u l d be r e a l i z e d , i t i s u n c l e a r whether t h e r e a r e f a c t o r s t h a t i n f l u e n c e l o s s r e a l i z a t i o n t h a t a r e not incorporated i n t o r e l a t i v e yields. I n f a c t , Heaton (1986) shows how t h e r e l a t i v e y i e l d on municipal bonds i s i n f l u e n c e d by t h e a s s o c i a t e d v a l u e o f t a x d e d u c t i o n s , and C o n s t a n t i n i d e s and I n g e r s o l l (1984) e x p l i c i t l y model t h e i n f l u e n c e o f t a x - t i m i n g o p t i o n s on t h e e q u i l i b r i u m p r i c e s of bonds, such a s m u n i c i p a l s . C o n s t a n t i n i d e s and I n g e r s o l l (1984) conclude t h a t " . . . t h e main d i f f e r e n c e between t h e o p t i m a l t r a d i n g p o l i c i e s f o r m u n i c i p a l and - www.clevelandfed.org/research/workpaper/index.cfm taxable bonds is that no (municipal bond) trades are ever made at a price above par. . . " (p.334). 4 However, when municipals are a t a - deep discount, their tax-timing options are roughly equal to those on taxable instruments. In addition, tax timing options, which should be reflected in relative yields, also vary with tax rates on coupons and capital gains or losses. F. Simultaneity with Loan-Loss Provisions The net income earned on municipals is only one component of net income. Over our sample period, provision for loan loss has had a significant influence on net income. Greenwalt and Sinkey (1988), in a study of bank holding companies from 1976 to 1984, find evidence that loan loss provisions were made in a manner consistent with the income-smoothing hypothesis. In addition, TRA affected net income by requiring large banks to recapture outstanding loan loss reserves. While there are other influences on net income, these factors suggest that we consider the choices of municipal bond 5 holdings as made simultaneously with loan loss provisions. 111. Specification of the Estimating Equations: Issues Previous analyses of bank demand for municipal securities emphasized the role of expected income and tax shields. Neubig and Sullivan (1987b) develop in detail the banks' portfolio decision under the certainty case. For banks that face the regular tax, the relative yield between tax-exempt and taxable securities (ry) must be compared to the break-even ratio (byr), which is calculated as (1) 1 - u[l-b(id/it)], where www.clevelandfed.org/research/workpaper/index.cfm i d = interest expense/assets, b = percentage interest expense disallowance, u = marginal corporate tax rate, and = interest rate on taxable investments. i t If the relative yield exceeds the byr, the optimal share of assets held in municipals is calculated as (2) MAX( 0 , 1-[i (1-afb)-noif+(c/u)]/it 1 , where d af = percent of total assets subject to interest expense disallowance, noif = net taxable noninterest income/assets, and c = tax credits/assets. Equation (2) is consistent with the insight of Kimball (1977). Muni demand is positively related to taxable investment returns, net non-interest income, corporate marginal tax rates, and the disallowance rate (as'long as a higher disallowance rate does not increase the byr above the relative yield). Demand is negatively related to interest expense rates and available tax credits. Several problems arise in applying this framework. First, the appropriate yield calculation is more complex during our sample period. Second, in constructing our measure of income, we need to consider the possibility that the demand for munis occurs' simultaneously with other portfolio choices. Third, lack of suitable tax information prevents us from calculating satisfactory measures of ex-ante effective tax rates, deductions, and credits. www.clevelandfed.org/research/workpaper/index.cfm The comparison o f r e l a t i v e y i e l d s t o b y r s i s c o m p l i c a t e d by t h e i n t r o d u c t i o n o f t h e new a l t e r n a t i v e minimum t a x ( a r n t ) , which a l t e r s the byr c a l c u l a t i o n . Determining e x - a n t e which banks w i l l f a c e t h e amt i s i n f l u e n c e d by t h e f a c t t h a t t h e p r o b a b i l i t y o f f a c i n g t h e amt i s i n f l u e n c e d by municipal h o l d i n g s , s i n c e tax-exempt income e n t e r s t h e amt c a l c u l a t i o n . Banks t h a t do f a c e t h e amt would be expected t o h o l d fewer m u n i c i p a l s , s i n c e t h e i r g r e a t e r t a x l i a b i l i t y would be matched w i t h t a x a b l e income. I n t h e c a s e p r e s e n t e d above, t h e r e would appear t o be no r o l e f o r r e l a t i v e y i e l d s t o i n f l u e n c e muni demand i f t h e b y r exceeded t h e yield ratio. However, w i t h u n c e r t a i n t y about t a x r a t e s , d e d u c t i o n s , o r c r e d i t s , banks may s t i l l purchase munis even i f t h e r e l a t i v e y i e l d l i e s below t h e b y r . On t h e o t h e r hand, Hendershott and Koch (1980) c l a i m t h a t a s l o n g a s r e l a t i v e y i e l d s a r e h i g h enough, v a r i a t i o n i n r e l a t i v e y i e l d s i s not l i k e l y t o i n f l u e n c e demand. If TRA i n c r e a s e d b y r s enough t h a t bank purchases of munis a r e no l o n g e r j u s t i f i e d , v a r i a t i o n i n t h e d i f f e r e n c e between t h e r e l a t i v e y i e l d and t h e b y r can o n l y i n f l u e n c e muni h o l d i n g s by i n f l u e n c i n g d e c i s i o n s about r e a l i z a t i o n of c a p i t a l g a i n s o r l o s s e s . Over o u r sample p e r i o d , r e l a t i v e y i e l d s r o s e i n p a r t because TRA d e c r e a s e d bank demand f o r munis by i n c r e a s i n g t h e break-even ratio. The d e c l i n i n g bank demand f o r munis i n f l u e n c e d p r i c e s and thus y i e l d s . However, banks c l e a r l y i n c r e a s e d t h e i r muni p u r c h a s e s a t t h e end o f 1985 i n o r d e r t o g r a n d f a t h e r t h e p a r t i a l i n t e r e s t deductibility. Our measure of expected t a x a b l e income can be o b t a i n e d a s a f u n c t i o n of lagged income (Hendershott and Koch [ 1 9 8 0 ] ) o r www.clevelandfed.org/research/workpaper/index.cfm calculated with ex-post income data, reconstructing a before-tax income measure from net after-tax income and appropriate balance-sheet components. Limited information about taxes, deductions, and credits appears on the call reports. Previous research has included size as proxy for reliance on non-debt tax shields. Large banks may be more likely to utilize tax shields such as investment tax credits, depreciation deductions, foreign tax credits, and leasing. IV. The Econometric Model The model we use to analyze the behavior of commercial bank holdings of municipal securities from December 1984 to December 1988 uses the following equations: (3) BVMt (4) P (5) R = BVMt-l + Pt - Rt; = P [ MAX( O,gti 1 , MAX( 0,ry-byr ) , State and = Deposits ] + e , P R [ MAX( 0,gti 1 , State and Local Deposits, Unrealized Local Capital Losses on Municipals, Other Unrealized Losses, Loan Losses Provisons ] (6) LLP = L [ MAX( 0,gti ), + er ' Capital to Asset Ratio (excluding Loan Loss Reserve), Nonaccruing and Past-Due Loans, Net Charge-Offs, Loan Loss Reserve] where BVM P = - + book value of municipal securities, purchases of municipal securities, R = sales of municipal securities, LLP = provision for loan losses, and e 1' www.clevelandfed.org/research/workpaper/index.cfm gti "grossed-up taxable income" as described below; e e p' r' and e are disturbances. 1 = Implicit in this model is a distinction between factors that determine purchases of munis (equation [4]) and those factors that influence sales (equation [ 5 ] ) . Previous analyses of muni holdings suggest that the purchases are influenced by income and relative yields. We include state and local demand deposits as a proxy for state pledging requirements. Our formulation of the relative yield term removes the influence of variation in the difference between relative yields and the byr on purchases when that difference is negative. This forces variation in relative yields to influence muni holdings through changes in the market value of the existing securities portfolio (equation [5]). The realization of losses or gains influences net income. In equation (5), we distinguish between losses that could be realized on munis and those that could be realized on other securities. The level of state and local deposits would be expected to restrict the ability of banks to sell munis. The amount of taxable income that could be sheltered with various deductions should be expected to be positively related to loss realization and loan loss provisions, which are a deduction for book income 7 purposes. As an alternative to the assumption imposed in equations (4) and ( 5 ) , which states that the factors influencing sales are different from those influencing purchases, we consider the 8 following version of those equations. www.clevelandfed.org/research/workpaper/index.cfm (4A) P = [ MAX ( 0 , g t i ) , r y - b y r , S t a t e and Local D e p o s i t s ] (5A) R = [ MAX ( 0 , g t i ) , r y - b y r , S t a t e and Local D e p o s i t s , Loan Loss P r o v i s i o n s ] + e P , + er . E q u a t i o n ( 6 ) s t a t e s t h a t l o a n l o s s p r o v i s i o n s , which r e d u c e n e t income, a r e i n f l u e n c e d by t a x a b l e income and f a c t o r s d e s c r i b i n g t h e l o a n p o r t f o l i o o f t h e bank. The f a c t o r s t h a t i n f l u e n c e l o a n l o s s provisions a r e c l o s e l y r e l a t e d t o those t h a t influence the a d d i t i o n t o t h e l o a n l o s s r e s e r v e , a component o f t h e primary capital-to-asset ratio. The h i g h e r t h e l o s s r e s e r v e o r t h e primary r a t i o , t h e l e s s need t h e r e i s t o add t o t h e r e s e r v e . On t h e o t h e r hand, t h e h i g h e r t h e i n v e n t o r y of "bad l o a n s " t h a t need t o b e c h a r g e d o f f , t h e more l i k e l y t h e bank w i l l p r o v i d e f o r l o s s e s . I m p l i c i t i n t h e model i s a s w i t c h between regimes. The o l d regime i s one i n which r e l a t i v e y i e l d s and income determined muni h o l d i n g s . The second regime i s one i n which r e l a t i v e y i e l d s a r e n o t h i g h enough t o j u s t i f y muni h o l d i n g s , and, g i v e n t h e l e v e l a l r e a d y p u r c h a s e d , ' t h e change i n t h e l e v e l i s determined by f a c t o r s such a s l o a n l o s s p r o v i s i o n s , u n r e a l i z e d l o s s e s on o t h e r s e c u r i t i e s , book l o s s e s on munis, and income t h a t t h e bank h a s a v a i l a b l e t o absorb c a p i t a l l o s s e s . U n f o r t u n a t e l y , t h e r e i s no d i s t i n c t s h i f t between r e g i m e s , s i n c e TRA was a n t i c i p a t e d w e l l b e f o r e i t became e f f e c t i v e . This is e v i d e n t i n t h e runup i n bank p o r t f o l i o s o f munis i n 1985. This a l s o implies t h a t f a c t o r s determining t h e r e a l i z a t i o n of c a p i t a l l o s s e s may e x p l a i n muni p u r c h a s e s p r i o r t o TRA. In addition, since www.clevelandfed.org/research/workpaper/index.cfm qualified small issues may still be attractive purchases for some banks, purchases may occur even if aggregate relative yields are inadequate. We specify a two-equation model with the net change in the muni holdings and loan loss provisions as the simultaneous variables. To distinguish factors that should influence the level of munis from those that should influence the change in the level, we first-difference the former and the dependent variable. We also specify an alternative version of this system, derived from (4A) and (5A) . (7) (1-L)BVMt = am + bml*(I-L)MAX[O,ry-byrIt + bm2*(l-L)MAX[O,gti] + *(l-L)State bm3 and Local Depositst + bm4*(1-L)Unrealized + bm5*Unrealized Losses on Munis + bm6*Loan Loss Provisions t Losses (except munis) t + t-1 u mt ' (8) Loan Loss Provisions t = al + bll*MAXIO,gtil + b12*Primary Capital (except LLR)t-1 + b13*(Nonaccruing+Past + b14*Net C h a r g e - O f f ~ ~ ~ ~ + b15*Loan Loss Reserve(LLR) Due Loans) t-1 + t-1 e It' L is the first-difference operator. All variables except (1-L)MAX[O,ry-byrIt are scaled by consolidated bank assets at the beginning of the period (dated t-1) www.clevelandfed.org/research/workpaper/index.cfm V . D e s c r i p t i o n o f t h e Data: We choose a l l banks r e p o r t i n g on a l l c a l l r e p o r t s from December 1984 t o December 1988. Omitting banks w i t h s u s p i c i o u s d a t a l e a v e s us w i t h 1 2 , 0 3 5 b a n k s . U t i l i z i n g t h e June and December c a l l r e p o r t s and f i r s t d i f f e r e n c i n g l e a v e s u s w i t h e i g h t o b s e r v a t i o n s f o r each bank. The v a r i a b l e g t i , g r o s s e d - u p t a x a b l e income, i s c a l c u l a t e d s t a r t i n g from e n d - o f - p e r i o d income b e f o r e t a x e s and e x t r a o r d i n a r y items. To t h i s we add 1 ) an e s t i m a t e of t h e amount by which income would have been h i g h e r w i t h tax-exempt income i n f l a t e d t o a t a x a b l e l e v e l ( t h e t o t a l of a l l tax-exempt income items [ s e c u r i t i e s , l o a n s , and l e a s e s ] was m u l t i p l i e d by [ ( l / r y ) - 1 1 , where r y i s d e s c r i b e d b e l o w ) , 2) t h e l o a n l o s s p r o v i s i o n , 3) r e a l i z e d c a p i t a l g a i n s and l o s s e s on t h e s e c u r i t i e s a c c o u n t , 4) t h e n o n - d e d u c t i b l e p o r t i o n of i n t e r e s t expense a s s o c i a t e d w i t h munis, 5) n e t c h a r g e - o f f s , and 6) t h e r e q u i r e d r e c a p t u r e of b a d - d e b t r e s e r v e s by l a r g e banks. A l l banks w i t h a t l e a s t $500 m i l l i o n i n t o t a l a s s e t s a t t h e end of 1986 r e c a p t u r e a t l e a s t 10 p e r c e n t of t h e December 1986 l o a n l o s s r e s e r v e i n t o 1987 income, w i t h e q u a l p o r t i o n s i n each h a l f o f t h e y e a r . I f r e c a p t u r e o f 10 p e r c e n t s t i l l l e a v e s t h e bank w i t h g t i below 0 f o r t h e y e a r a s a whole, t h e n t h e bank r e c a p t u r e s enough t o reach 0 , i f t h e loan l o s s reserve is s u f f i c i e n t . A l l banks t h a t r e c a p t u r e i n 1987 r e c a p t u r e 2/9 of t h e remainder i n 1988 income. A bank t h a t i s n ' t l a r g e enough a t t h e end of 1986 may be l a r g e enough a t t h e end of 1987. The v a r i a b l e r y i s measured a s t h e r a t i o between 1 0 - y e a r munis and T r e a s u r y bonds. The v a r i a b l e b y r , t h e break-even r a t i o , i s www.clevelandfed.org/research/workpaper/index.cfm c a l c u l a t e d d i r e c t l y from e q u a t i o n ( 1 ) u s i n g t h e marginal c o r p o r a t e t a x r a t e , t h e d i s a l l o w a n c e r a t i o (which i n c r e a s e d from .20 t o 1 . 0 a f t e r August 7 , 1986 f o r " n o n - q u a l i f i e d b o n d s " ) , i n t e r e s t e x p e n s e / t o t a l a s s e t s a s r e p o r t e d by t h e bank, and t h e 1 0 - y e a r Treasury r a t e . For s t a t e and l o c a l d e p o s i t s , we use demand d e p o s i t s of t h e s t a t e s and p o l i t i c a l s u b d i v i s i o n s r a t h e r t h a n t h e b r o a d e r measures o f t o t a l t r a n s a c t i o n d e p o s i t s , o r t o t a l d e p o s i t s , b o t h o f which a r e a v a i l a b l e . U n r e a l i z e d l o s s e s on munis a r e c a l c u l a t e d from t h e s e c u r i t i e s a c c o u n t s ( o n l y banks w i t h a s s e t s above $ 1 b i l l i o n r e p o r t any d e t a i l on t h e i r t r a d i n g account p o r t f o l i o s ) a s book v a l u e minus market v a l u e a t t h e end of t h e p r e v i o u s p e r i o d . Other u n r e a l i z e d l o s s e s a r e c a l c u l a t e d from t h e remainder of book and market v a l u e on t h e s e c u r i t i e s accounts. V I . E s t i m a t i o n Procedure and R e s u l t s : S i n c e l o a n l o s s p r o v i s i o n s i n f l u e n c e muni h o l d i n g s b u t muni h o l d i n g s do n o t appear on t h e r i g h t - h a n d s i d e of t h e e q u a t i o n f o r l o a n l o s s p r o v i s i o n s , we u t i l i z e a simple two-stage p r o c e d u r e . F i r s t we e s t i m a t e t h e e q u a t i o n f o r l o a n l o s s p r o v i s i o n s , t h e n t h e e q u a t i o n f o r munis w i t h t h e p r e d i c t e d v a l u e f o r l o a n l o s s p r o v i s i o n s on t h e r i g h t - h a n d s i d e . We e s t i m a t e t h e second e q u a t i o n f i r s t a s a p a n e l , c o n s i d e r i n g t h e p o s s i b i l i t y t h a t t h e e r r o r term, u mt' has the following e r r o r components s t r u c t u r e : ( 9 ) umit - fmi + gmt + hmit' and gmt a r e t h e bank and time e r r o r components, r e s p e c t i v e l y . f mi www.clevelandfed.org/research/workpaper/index.cfm We utilize an approach described by Fuller and Battese (1974) to estimate the variance components, and then perform estimated generalized least squares.' We then estimate the second equation for each call report separately and for all reports together, We test for the equality of coefficients across time for both the first and second equation. The results for the first equation lead us to generate the predicted value for loan loss provisions from each call report separately. Table I presents the results for the equation for loan loss provisions. As we would expect, higher levels of taxable income are associated with higher loan loss provisions, since provisions reduce book after-tax income. This is also consistent with Greenwalt and Sinkey (1988), who found that provisions were utilized to smooth income. Although the capital-to-assetratio (which excludes loan loss reserves) is significant in all but one period, its sign changes. We expected that higher levels of this variable would imply less need to add to the loan loss reserve so as to meet primary capital guidelines and, thus, there would be less need to provide for loan losses. The nonaccruing and past-due loans and net charge-offs variables are positive and significant in all periods. Nonaccruing loans is a measure of the amount of loans that are likely candidates for charge-offs. Net charge-offs are closely related to the bad debt reserve tax deduction, differing from the deduction by the amount by which allowable reserves change. The last column of Table I presents the results from pooling all the www.clevelandfed.org/research/workpaper/index.cfm periods. A Chow test leads us to reject the restriction. We generate the predicted value of loan loss provisions for the second stage from each report separately. Table I1 presents the results from the panel data estimation of the second equation, both with and without a size variable. Income, loan loss provisions, and state and local deposits have the expected signs and neither type of unrealized losses are significant influences. These results are not sensitive to the inclusion of size. However, the inclusion of size reduces the magnitude of the coefficients on income, provisions, and deposits. If large banks had greater availability to non-debt tax shields, we would expect the inclusion of size to reduce the positive coefficient on income. If large banks placed less reliance on state and local deposits, including size would increase the positive coefficient on our proxy for pledging requirements. As a proxy for non-debt tax shields, size should have a negative coefficient, not a positive coefficient. Including size also implies that relative yields have not been significant influences on muni holdings. Table I1 also indicates that there is no cross-sectional lo This suggests that component to the composite error term, u mit ' we calculate the "between" estimator for each report separately. These results are presented in the remaining tables. In Tables IIIA and IIIB, we reestimate the second equation for each report with and without a size variable, respectively. In general, only the coefficient on taxable income has the expected sign (positive) in all periods, with or without inclusion www.clevelandfed.org/research/workpaper/index.cfm of size. When included, size is a consistently positive influence on muni holdings. State and local deposits are a positive influence except in the first half of 1985 and the last half of 1988. While significant in almost all cases, the direction of influence of loan loss provisions and relative yields varies. However, unlike the results detailed in Table 11, the coefficients on unrealized losses are sometimes significant. Our specification implied that unrealized losses might matter after TEU, when relative yields would fall below break-even ratios. Then, the inventory of unrealized losses on munis would be positively related to sales (negatively related to muni levels). A substitute deduction, unrealized losses on other securities, would be a positive influence. Tables IIIA and IIIB indicate that unrealized losses on munis are generally a positive influence after TEU but were a negative influence in 1985. Other unrealized losses are sometimes a significant influence. The last column of each table indicates the results from pooling all periods, with predicted loan loss provisions coming from pooling all periods as well. Again.we would reject the restriction that the coefficient vectors are equal across reports. In Tables IVA and IVB we present the results from estimating the alternative model in which we have excluded the unrealized loss variables and replaced MAX (0,ry-byr) with ry - byr. The results are similar to those depicted in Tables IIIA and IIIB. Only the coefficient on income is consistently of the expected sign. Size consistently has a positive influence. Although we have excluded www.clevelandfed.org/research/workpaper/index.cfm the unrealized loss variables, which might be affected by movements in market yields, the coefficient on rel-ative yields is often negative and significant. The last columns of Tables IVA and IVB are the estimates made when all reports are stacked together. Again, the restrictions that the coefficients be equal across periods are rejected. However, if we compare the last columns of Tables IIIA and IVA and the last columns of Tables IIIB and IVB, the implications of the two alternative models for the influences of income, yields, deposits, and size seem similar. VII.Conclusion and Possible Extensions This paper has attempted to extend the analysis of bank demand for municipal securities to consider the influence of state pledging requirements, factors that could determine the sell-off of munis when relative yields do not generally justify new purchases, and simultaneity with loan loss provisions. Implicit in our analysis was a hypothesis that relative yields and income as determinants of muni demand declined in importance with the passage of the Tax Reform Act of 1986 and that factors influencing loss realization and loan-loss provision increased in importance. We feel that the results regarding the significance of state pledging requirements warrant further investigation, especially in light of recent controversies about the differential impact of TRA on state and local finance. In addition, provisions for loan losses and unrealized securities losses are sometimes significant determinants of muni holdings. However, the influence of relative www.clevelandfed.org/research/workpaper/index.cfm yields, which were sometimes negatively related to muni holdings, is hard to reconcile with our model or with other models of muni demand. In further work, the influence of state pledging requirements or other state regulations could be explored, given the detail provided by the Advisory Council on Intergovernmental Relations (1989) or the Conference of State Bank Supervisors. The analysis of the influence of loss-realization timing could be explored, utilizing information on the trading accounts of large banks. However, this avenue is limited by the paucity of data on the maturities of bank securities. Finally, the econometric procedure could be designed to more explicitly take advantage of the simultaneity between loan loss provisions and muni holdings in a panel framework. www.clevelandfed.org/research/workpaper/index.cfm Table I First Stage Estimates: Dependent Variable: Loan Loss Provisions /Total Assets t-1 t Variable Constant Capital-to-Asset Ratio t-1 0.0001 0.005 -0.002 0.013 (.001) (.OOl)** (.OOl)* (.OOl)** Nonaccruing and PastDue Loans t-1 0.050 0.081 0.055 0.106 (.002)** (.003)** (.002)** (.003)** Net C h a r g e - O f f ~ ~ - ~ 0.700 0.6.15 0.276 0.505 (.014)** (.012)** (.008)** (.013)** Loan-Loss Reserve - SSE 2 R (adjusted) t-1 .lo1 -0.09 0.070 -0.036 (.Oil)** (.014)** (.012)** (.015)** www.clevelandfed.org/research/workpaper/index.cfm Table I (continued) First Stage Estimates: Dependent Variable: Loan Loss Provisions /Total Assets t t-1 Variable Constant 0.0004 0.0004 0.0004 -0.0011 0.0001 (.0001)**(.0002)**(.0001)**(.0002)**(.0001)* Capital-Asset Ratio t-1 -0.002 (.001) 0.003 (.OOl)** - .0004 0.006 0.002 (.0009) (.002)**(.0004)** Nonaccruing and 0.061 0.098 0.058 0.099 (.002)** (.003)** (.002)** (.004)** Past Due Loans t-1 Charge Offs - 0.086 (.OOl)** 0.128 0.598 0.309 0.670 0.371 (.007)** (.013)** (.008)** (.015)** (.004)** Loss Reserve t-1 0.057 -0.137 -.048 -0.032 (.010)** (.010)** (.007)** (.012)** -0.030 (.004)** SSE 0.293 0.423 0.205 0.638 3.628 2 R (adjusted) 0.187 0.385 0.284 0.361 0.286 Number of observations: 12,035. * :significant at .lo. ** : significant 'at .05. Note: All variables are scaled by lagged total assets. Source: Author's calculations. www.clevelandfed.org/research/workpaper/index.cfm Table I1 Time Series/Cross-Sectional Estimates of the Equation for Municipal Securities Dependent Variable: (BVM t -BVMt-l)/Total Assets t-1 With Size Without Size Variable Constant Unrealized Muni Losses t-1 Loan Loss Provisions t (from 1st stage) State and Local Deposits t 0.1766 ( .0065)** Other Unrealized Losses t 0.0131 ( .0105) ln(Tota1 Assets ) t 0.0573 ( .0008)** Error Components Cross-Sectional Time Series Error 0.000000 0.000025 0.000652 0.000000 0.000026 0.000691 MSE of Transformed Regression 0.000638 0.000674 Degrees of Freedom 96,272 * 96,273 :significant at .lo. **:significant at .05. All variables other than (1-L)MAX( 0, ry-byr )t, and (1-L)ln (Total Assets) are divided by lagged Total Assets. Source: Author's calculations. www.clevelandfed.org/research/workpaper/index.cfm Table IIIA Second Stage Estimates of the Equation for Municipal Securities Dependent Variable: (BVMt-BVMt-l)/Total Assets t-1 (Without Size as an Independent Variable) Variable Constant Unrealized Muni Losses -0.355 (.036)** -0.614 (.067)** -0.318 (.078)** -0.012 (.036) -0.901 (.072)** -1.37 (.067)** 2.078 (.122)** -0.182 (.039)%* 0.00007 0.120 0.556 0.056 (.018) (.019)** (.022)** (.014)** -0.021 -0.447 -0.029 (.028) (.038) (.040)** (.018) SSE 7.35 11.93 18.44 4.51 2 R (adjusted) 0.027 0.048 0.315 0.051 t-1 Loan Loss Provisionst (from 1st stage) State and Local Deposits t Other Unrealized Losses t - 0.024 www.clevelandfed.org/research/workpaper/index.cfm Table I I I A ( c o n t i n u e d ) Second S t a g e E s t i m a t e s o f t h e E q u a t i o n f o r Municipal S e c u r i t i e s Dependent V a r i a b l e : (BVM -BVMt-l)/Total A s s e t s t t-1 (Without S i z e a s a n Independent V a r i a b l e ) Variable Constant -0.007 -0.0003 -0.003 -0.002 -0.0015 (.0006)**(.0002)**(.0002)**(.0001)**(.0001)** Unrealized Muni Losses Loan Loss Provisions t-1 t S t a t e and Local Deposits t 0.021 (.035) 0.346 0.251 0.414 -0.050 (.034)** (.050)** (.035)** (.017)** 2.039** (.094) -0.058 (.036) 0.626 -0.078 0.237 (.070)** (.023)** (.025)** 0.290 0.067 0.247 -0.005 ( 0 2 ) ( 0 4 ) (.07)** ( 0 0 ) 0.242 (.007)** Other U n r e a l i z e d 0 . 2 0 3 -0.006 Losses (.023)** ( . 0 2 3 ) 0.114 0.080 -0.0002 (.033)** (.021)** ( . 0 1 1 ) SSE 6.38 3.06 4.23 1.76 67.07 2 R (adjusted) 0.618 0.058 0.097 0.030 0.168 t Number o f o b s e r v a t i o n s : 1 2 , 0 3 5 . * :significant a t .lo. **:significant a t .05. Note: A l l v a r i a b l e s o t h e r t h a n (1-L)MAX( 0 , r y - b y r ) t a r e d i v i d e d by l a g g e d T o t a l A s s e t s . Source: A u t h o r ' s c a l c u l a t i o n s . www.clevelandfed.org/research/workpaper/index.cfm Table IIIB Second Stage Estimates of the Equation for Municipal Securities Dependent Variable: (BVM -BVMt-l)/Total Assets t t-1 (With Size as an Independent Variable) Variable Constant Unrealized Muni Losses t-1 -0.291 (.035)** Loan Loss Provisions t (from 1st stage) -0.680 -1.190 2.489 -0.102 (.070)** . 0 6 7 * * 4 ) * * (.039)** State and Local Deposits -0.042 0.043 0.397 0.022 (.018)** (.019)** (.021)** (.014) Other Unrealized Losses -0.020 (.027) t t ln(Tota1 Assets ) t SSE R 2 (adjusted) . -0.558 0.134 (.059)** (.072)* 0.029 (.038) -0.007 (.036) -0.359 -0.024 (.037)** (.018) 0.049 0.053 0.155 (.002)** (.003)** (.004)** 0.036 (.002)** www.clevelandfed.org/research/workpaper/index.cfm Table IIIB (continued) Second Stage Estimates of the Equation for Municipal Securities Dependent Variable: (BVM -BVMt-l)/Total Assets t t- 1 (With Size as an Independent Variable) Variable Constant -0.008 -0.004 -0.004 -0.003 -0.004 (.0005)**(.0002)**(.0002)**(.0001)**(.0001)** Unrealized Muni Losses t-1 0.062 0.366 0.277 0.418 - .023 (.034)* (.033)** (.047)** (.034)** (.016) Loan Loss Provisions t 2.177 0.137 0.608 -0.024 (.090)** (.035)** (.002)** (.023) 0.409 (.024)** (1-L)*. . MAX(0,ry-byr) -0.006 (.006) 0.087 -0.021 (.017)**(.025) -0.059 (.038) 0.028 (.OOl)** State and Local Deposits t 0.205 0.027 0.158 -0.023 0,170 (.020)** (.014)* (.016)** (.010)** (.007)** Other Unrealized 0.211 Losses t (.022)** -0.006 0.056 0.054 0.018 (.022) (.032)* (.020)** (.010)* SSE 5.90 2.88 3.75 1.69 63.12 R 2 (adjusted) 0.647 0.112 0.199 0.072 0.217 Number of observations: 12,035. * :significant at .lo. **:significant at .05. Note: All variables other than (1-L)MAX{ 0, ry-byr ) , and (1 -L)lnTotal Assets are divided by lagged Total ~sseEs. Source: Author's calculations. www.clevelandfed.org/research/workpaper/index.cfm Table IVA Second Stage Estimates of the Equation for Municipal Securities Dependent Variable: (BVM -BVMt-l)/Total Assets t t-1 (Without Size as an Independent Variable) (Without Unrealized Capital Losses as Independent Variables) 6/85 Variable Constant Loan Loss Provisions t (from 1st stage) State and Local Deposits t SSE 2 R (adjusted) 12/85 6/86 12/86 www.clevelandfed.org/research/workpaper/index.cfm Table I V A (continued) Second Stage Estimates of the Equation for Municipal Securities Dependent Variable: (BVMt-BVMt-l)/T~talAssets t-1 (Without Size as an Independent Variable) (Without Unrealized Capital Losses as Independent Variables) Variable Constant Loan Loss Provisions t (1-L)*. . State and Local Deposits t 0.293 0.066 . 0 SSE 6.43 3.09 R 2 (adjusted) 0.615 0.050 4 0.250 * (.07)** -0.006 0.241 (00) (.025)** 4.25 1.79 67.09 0.094 0.017 0.168 Number of observations: 12,035. * :significant at .lo. **:significant at .05. Note: All variables other than (1-L)(ry-byr) t are divided by lagged Total Assets. Source: Author's calculations. www.clevelandfed.org/research/workpaper/index.cfm Table IVB Second Stage Estimates of the Equation for Municipal Securities Dependent Variable: (BVM -BVMt-l)/Total Assets t t-1 (With Size as an Independent Variable) (Without Unrealized Capital Losses as Independent Variables) Variable Constant Loan Loss Provisions t (from 1st stage) State and Local Deposits t ln(Tota1 Assets ) t SSE 2 R (adjusted) www.clevelandfed.org/research/workpaper/index.cfm Table IVB (continued) Second Stage Estimates of the Equation for Municipal Securities Dependent Variable: (BVMt-BVMt-l)/TotalAssets t-1 (With Size as an Independent Variable) (Without Unrealized Capital Losses as Independent Variables) Variable Constant -0.011 -0.006 -0.005 -0.004 -0.004 (.0094)~~*(.0002)**(.0002)**(.0001)**(.0001)** Loan Loss Provisions 2.227 (.088)** (.035)** (.066)** (.022) (.024)** State and Local Deposits 0.214 0.029 0.162 -0.024 (.020)** (.014)** (.016)** (.OlO)** 0.170 (.007)** SSE 5.94 2.92 3.76 1.70 63.23 0.644 0.102 0.197 0.065 t t 2 R (adjusted) 0.196 0.649 -0.004 0.408 0.215 Number of observations: 12,035. * :significant at .lo. **:significant at -05. Note: All variables other than (1-L)(ry-byr)t' and (1-L)lnTotal Assets are divided by lagged Total Assets. Source: Author's calculations. www.clevelandfed.org/research/workpaper/index.cfm Footnotes 1) Property and casualty insurance companies essentially deducted all of their interest expense via the reserve deduction until 1986. Non-financial corporations can deduct all interest expense as long as tax-exempts constitute no more than 2 percent of total assets. 2) See A Profile of State Chartered Banking, Council of State Bank Supervisors, 1988. 3) See Significant Facts About Fiscal Federalism, Advisory Council on Intergovernmental Relations, Washington, D.C., 1977. 4) The essential difference between the two categories is that, for municipals, the amortization of the basis that occurs when the purchase price exceeds par is not a deduction from income. When municipals are at a deep discount and are being compared to equivalent taxables, the right to amortize the basis is of little value. 5) A complication that arises at this point is that income smoothing may be more appropriately applied to analysis of book income while muni holdings are more directly related to tax return income. We deal with this when we discuss our income measure, which is constructed with the call report (book) data. www.clevelandfed.org/research/workpaper/index.cfm 6) Neubig and Sullivan (1987) provide a detailed description of calculation of the byr relevant to a bank facing the amt. 7) As we discuss in our calculation of taxable income, the equivalent deduction for tax purposes is the maxim& allowable addition to the bad-debt reserve. 8) The first formulation implies other restrictions as well One is that variation in relative yields only influences purchases if ry - byr is positive, ex-post. 9) The actual calculations are done by the SAS routine TSCSREG. 10) Actually, the estimated cross-sectional variance component is negative, then set to zero in the estimated GLS procedure (EGLS). Baltagi (1981) indicates that it is difficult in practice to distinguish between misspecification and actually having a zero variance component. Baltagi also indicates that setting such components to zero in the EGLS procedure does not damage the performance of the estimation procedure www.clevelandfed.org/research/workpaper/index.cfm References Advisory Committee on Intergovernmental Relations. The Impact of Increased Insurance on Public Deposits. Washington, D.C.: U.S. Government Printing Office (1977). . Sianificant Facts About Fiscal Federalism. Washington, D.C.: U.S. Government Printing Office (1989). Baltagi, Badi H. "Pooling: An Experimental Study of Alternative Testing and Estimation Procedures in a Two-Way Error Component Model." Journal of Econometrics 17 (September 1981). 21-49. Conference of State Bank Supervisors. A Profile ofstate Chartered Banking. Washington, D.C.: 1988. Constantinides, George M . , and Ingersoll, Jonathan E. "Optimal Bond Trading with Personal Taxes." Journal of Financial Economics 13 (September 1984). 299-335. Fortune, Peter. "Municipal Bond Yields: Whose Tax Rates Matter?" National Tax Journal 41 (June 1988). 219-233. Forbes, Ronald W., and Leonard, Paul A. "The Effects of Statutory Portfolio Constraints on Tax-Exempt Interest Rates." Journal of Monev. Credit. and Banking 16 (February 1984). 93-99. Fuller, Wayne A , , and Battese, George E. "Estimation of Linear Models with Crossed-Error Structure." Journal of Econometrics 2 (May 1974). 67-78. Greenwalt, Mary B . , and Sinkey, Joseph F. "Bank Loan-Loss Provisions and the Income-Smoothing Hypothesis: An Empirical Analysis, 1976-1984." Journal of Financial Services Research 1 (December 1988). 301-318. Heaton, Hal. "The Relative Yields on Taxable and Tax-Exempt Debt." Journal of Money. Credit, and Banking 18 (November 1986). 482-494. Hendershott, Patric H . , and Koch, Timothy W. "The Demand for Tax-Exempt Securities by Financial Institutions." Journal of Finance 35 (June 1980). 717-727. Kidwell, David S . , Koch, Timothy W . , and Stock, Duane R. "Issue Size and Term-Structure Segmentation Effects on Regional Yield Differentials in the Municipal Bond Market." Journal of Economics and Business 39 (November 1987). 339-347. www.clevelandfed.org/research/workpaper/index.cfm Kimball, Ralph C. "Commercial Banks, Tax Avoidance, and the Market for State and Local Debt since 1970." New Ennland Economic Review January/February 1977. 3-21. Miller, Merton H. "Debt and Taxes." Journal of Finance. 32 (May 1977). 261-275. Neubig, Thomas S . , and Sullivan, Martin A. (1987a). "The Impact of the Tax Reform Act of 1986 on Commercial Banks." Com~endium of Tax Research 1987. Office of Tax Analysis, Department of the Treasury, Washington, D.C. 279-305. (1987b). "The Implications of Tax Reform for Bank Holdings of Tax-Exempt Securities." National Tax Journal 40 (September 1987). 403-418. O'Brien, James M., and Gelfand, Matthew D. "Effects of the Tax Reform Act of 1986 on Commercial Banks." Tax Notes 34 (February 9 , 1987). 597-604. Poterba, James M. "Tax Reform and the Market for Tax-Exempt Debt." National Bureau of Economic Research Working Paper No. 2900 (March 1989). Skelton, Jeffrey L. "Banks, Firms, and the Relative Pricing of Tax-Exempt and Taxable Bonds." Journal of Financial Economics 12 (November 1983). 343-355. www.clevelandfed.org/research/workpaper/index.cfm