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http://clevelandfed.org/research/workpaper/index.cfm Best available copy Working Paper 8406 MONETARY POLICY AND REAL INTEREST RATES: NEW EVIDENCE FROM THE MONEY STOCK ANNOUNCEMENTS by W i l l i a m T. Gavin and Nicholas V . Karamouzis Working papers o f t h e Federal Reserve Bank o f Cleveland are p r e l iminary 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 discussion and c r i t i c a l comment. The views s t a t e d h e r e i n a r e those o f t h e authors and n o t n e c e s s a r i l y those o f t h e Federal Reserve Bank o f Cleveland o r o f t h e Board o f Governors of t h e Federal Reserve System. W i l l i a m T. Gavin i s an economist a t t h e Federal Reserve Bank o f C l eve1and. Nicholas V. Karamouzis i s an a s s i s t a n t professor, Department o f Economics, Case Western Reserve U n i v e r s i t y , and a v i s i t i n g schol ar, Federal Reserve Bank o f Cleveland. The authors wish t o thank Raymond Lombra and t h e i r colleagues f o r t h e i r many he1pfuf comments. December 1984 Federal Reserve Bank o f Cleveland http://clevelandfed.org/research/workpaper/index.cfm Best available copy MONETARY POLICY AND REAL INTEREST RATES: NEW EVIDENCE FROM THE MONEY STOCK ANNOUNCEMENTS This paper presents new evidence on how a s s e t p r i c e s respond t o new i n f o r m a t i o n about the money stock. I t shows t h a t the i n f o r m a t i o n c o n t e n t o f money stock announcements and t h e response of a s s e t p r i c e s t o new i n f o r m a t i o n i n t h e announcements vary w i t h changes i n the monetary p o l i c y regime, t h e Federal Reserve o p e r a t i ng procedures, and t h e reserve accounti ng r u l e s . Whi 1e previous s t u d i e s have examined how asset p r i c e s respond t o t h e money stock announcements under t h e i n t e r e s t - r a t e t a r g e t i n g procedure and t h e nonborrowed r e s e r v e procedure, we have in c l uded new evidence from t h e borrowed reserve t a r g e t i n g procedure under b o t h 1agged and contemporaneous reserve accounting rules. Looking a t how both forward exchange r a t e s and o t h e r a s s e t p r i c e s respond t o the announcements, we d i s t i n g u i s h between periods when the a s s e t - p r i c e response r e f l e c t e d a change i n t h e r e a l i n t e r e s t r a t e and those when i t r e f l e c t e d a change i n t h e i n f l a t i o n premium. F i n a l l y , we show t h a t t h e new contemporaneous reserve accounting r u l e s have g r e a t l y reduced t h e i n f o r m a t i o n c o n t e n t o f the money stock announcements. http://clevelandfed.org/research/workpaper/index.cfm Best available copy I. I n t r o d u c t i o n The e x p l i c i t examination o f expectations has been a r e c e n t i m p o r t a n t development i n economic theory and p o l i c y . Studies have emphasized t h e importance o f t h e m a r k e t ' s p e r c e p t i o n o f and r e a c t i o n t o new i n f o r m a t i o n about economic p o l i c y . I n p a r t i c u l a r , i n t h e area o f monetary economics, one o f t h e ongoing debates has been over whether monetary p o l i c y can a f f e c t long- term real i n t e r e s t rates. The r e s o l u t i o n o f t h i s debate depends, t o a l a r g e extent, on how markets respond t o perceived changes i n monetary pol i c y . While t h e r e have been many t h e o r e t i c a l and e m p i r i c a l s t u d i e s o f t h i s issue, t h e most r e c e n t examination can be found i n several papers t h a t i n v e s t i g a t e t h e response o f asset p r i c e s t o weekly money stock announcements. 1 The announcement s t u d i e s a r e based on t h e e f f i c i e n t market hypothesis, which s t a t e s t h a t t h e c u r r e n t asset p r i c e w i l l r e f l e c t a l l p u b l i c l y a v a i l a b l e Changes i n p r i c e s should r e f 1e c t o n l y new i n f o r m a t i o n . information. The e m p i r i c a l model used i n s t u d i e s o f money stock announcements takes t h e f o l l o w i n g form: where hAit = change i n t h e ith asset p r i c e from b e f o r e t h e announcement t o a f t e r the announcement, UMt = s u r p r i s e i n t h e money stock announcement a t time t, EMt = expected change i n t h e money stock a t time t, and e = random e r r o r . I f t h e e f f i c i e n t market hypothesis i s t r u e , i f we have accurate measures o f http://clevelandfed.org/research/workpaper/index.cfm Best available copy expectations, and i f t h e money stock i s an i m p o r t a n t f a c t o r i n determining t h e p r i c e o f the asset, then al w i l l be s i g n i f i c a n t and ap w i l l be zero. A r e s u l t common t o a l l of these announcement s t u d i e s i s t h a t estimates o f al are p o s i t i v e when i n t e r e s t r a t e s a r e used as t h e dependent v a r i a b l e i n equation 1. Several hypotheses have been presented t o e x p l a i n t h i s p o s i t i v e c o r r e l a t i o n between money stock s u r p r i s e s and changes i n i n t e r e s t r a t e s . These hypotheses can be c l a s s i f i e d i n t o two broad categories. The f i r s t a t t r i b u t e s t h e p o s i t i v e value o f al t o an i n f l a t i o n premium t h a t changes because t h e money stock s u r p r i s e i s t r e a t e d as a money supply shock. The second a t t r i b u t e s the p o s i t i v e value o f al t o a p o l i c y a n t i c i p a t i o n e f f e c t . The money stock s u r p r i s e i s t r e a t e d as a money demand shock t h a t i s expected t o be o f f s e t by f u t u r e p o l i c y actions. I n t h i s paper we p r o v i d e new evidence t o e x p l a i n how asset p r i c e s have responded t o s u r p r i s e s i n t h e money stock announcement over t h e p a s t seven years. Our sample period, September 1977 t o September 1984, was determined by the a v a i l a b i l i t y o f survey data on t h e expected change i n t h e money stock. The p e r i o d i n c l u d e s i m p o r t a n t changes i n monetary p o l i c y and o p e r a t i n g procedures. We d i s t i n g u i s h between p o l i c y regime changes and o p e r a t i n g procedure changes, which are n o t n e c e s s a r i l y t h e same. The two may be t h e same i f t h e c e n t r a l bank i s o v e r l y concerned about s h o r t - r u n money market c o n d i t i o n s o r i f t h e short- run o p e r a t i n g procedure i s n o t constrained by some long-run objectives.' We d e f i n e a p o l i c y regime change as a change i n t h e o b j e c t i v e f u n c t i o n o f t h e pol i c y a u t h o r i t y . I f the objective function i s a weighted average o f d i f f e r e n t goals, then t h e p o l i c y change may be a s h i f t i n t h e r e 1a t i v e weights f o r the d i f f e r e n t goals. Changes i n o p e r a t i n g procedures may l e a d t o changes i n the response o f short- term asset p r i c e s t o t h e money http://clevelandfed.org/research/workpaper/index.cfm Best available copy stock announcements, b u t the response should be short-lived i f there i s no change i n the objective function. In t h i s case, there i s not l i k e l y t o be a response by 1ong-term asset prices. In October 1979 there was an apparent change in both the monetary policy regime and the short-run operating procedure. The Federal Reserve switched from a pol icy t h a t had led t o accelerating inflation t o a policy t h a t led t o decelerating i nfl ation. The Federal Reserve a1 so switched from the federal funds operating procedure before October 1979 t o the nonborrowed reserve operating procedure a f t e r October 1979. operating procedures i n October 1982: There was a1 so another change in the Federal Reserve switched from nonborrowed reserve targeting t o borrowed reserve targeting, which, a s we show below, i s an interest- rate smoothing procedure. In t h i s paper we show t h a t the pattern of asset price reactions t o money stock innovations in the post-October 1982 period has not returned t o the pattern t h a t prevailed i n the pre-October 1979 period. Evidently, market participants be1 ieve the Federal Reserve has maintained a disinflationary pol icy despite i t s returning t o an i n t e r e s t - r a t e smoothing procedure. There was also an institutional change t h a t should have an e f f e c t on how a s s e t prices respond t o the money stock announcements. On February 2, 1984, the Federal Reserve switched reserve accounting rules; the lagged reserve accounting rul es ( L R R ) t h a t prevai 1ed before February 2, 1984, were rep1 aced by a1 most contemporaneous reserve accounting rules ( C R R ) . We expl ai n how the change i n rules has greatly reduced the information content of the money stock announcements. In the l i t e r a t u r e review we show t h a t existing hypotheses are inadequate t o explain the pattern of results t h a t has emerged from past empirical studies. In t h i s paper we add a new market, the forward exchange r a t e , and a http://clevelandfed.org/research/workpaper/index.cfm Best available copy p e r i o d o f new evidence from y e t another change i n o p e r a t i n g procedures. This new evidence lends support t o t h e f o l l o w i n g conc1usions: F i r s t , t h e s t r e n g t h o f t h e r e a c t i o n o f the f e d e r a l funds r a t e and o t h e r short- term i n t e r e s t r a t e s t o t h e money stock announcements depends on t h e p r e v a i l i n g o p e r a t i n g procedure and t h e reserve accounting r u l e s . Second, i n the pre-October 1979 p e r i o d o f an i n f l a t i o n a r y p o l i c y , money stock s u r p r i s e s contained i n f o r m a t i o n about f u t u r e i n f l a t i o n r a t e s . Interest r a t e s and exchange r a t e s reacted t o t h e money stock surprises, because p r i v a t e agents r e v i s e d t h e i r i n f l a t i o n a r y expectations upward. Under 1agged reserve r e q u i rements, s u r p r i s e s i n b11 r e f l e c t e d money demand shocks. The Federal Reserve a u t o m a t i c a l l y accommodated these shocks i n t h e s h o r t run. Over t h e l o n g run, p o l i c y allowed an upward d r i f t o f t h e monetary t a r g e t s . This behavior l e d the market t o b e l i e v e t h a t money stock i n n o v a t i o n s would e v e n t u a l l y l e a d t o an upward r e v i s i o n o f money t a r g e t s and, consequently, higher i n f l a t i o n . T h i r d , i n the post-October 1979 period, the Federal Reserve's monetary p o l i c y changed t o one o f d i s i n f l a t i o n . The r a p i d d e c e l e r a t i o n o f i n f l a t i o n e a r l y i n t h i s p e r i o d has been f o l l o w e d by 1ow and r e l a t i v e l y unchanged i n f l a t i o n r a t e s i n t h e l a s t two years. I n t h i s period, t h e r e a c t i o n o f nominal i n t e r e s t r a t e s and t h e d o l l a r exchange r a t e s t o money stock s u r p r i s e s r e f l e c t e d changes i n t h e m a r k e t ' s assessment o f c u r r e n t and f u t u r e r e a l i n t e r e s t rates. T h i s assessment r e s u l t e d from t h e p e r c e p t i o n t h a t t h e monetary a u t h o r i t i e s would n o t f u l l y accommodate t h e unusual and p e r s i s t e n t money demand shocks t h a t occurred d u r i n g t h i s period. These money demand shocks o r i g i n a t e d i n p o r t f o l i o disturbances associated w i t h t h e r a p i d decrease i n i n f l a t i o n , f i n a n c i a l innovations, and deregulation. http://clevelandfed.org/research/workpaper/index.cfm Best available copy We have organized t h e paper as f o l l o w s : Section I 1 c o n t a i n s a d i s c u s s i o n o f t h e i n f o r m a t i o n c o n t e n t o f money stock announcements and a c r i t i c a l review o f major hypotheses, i n c l u d i n g r e c e n t f i n d i n g s from t h e f o r e i g n exchange market. Section I 1 1 s e t s o u t our hypotheses e x p l a i n i n g how asset pt-ices r e a c t t o money stock announcements under a l t e r n a t i v e p o l i c y regimes and o p e r a t i n g procedures. Section I V in c l udes e m p i r i c a l evidence about t h e response o f short- term i n t e r e s t rates, long- term i n t e r e s t r a t e s , forward i n t e r e s t r a t e s , spot exchange rates, and forward exchange r a t e s t o money stock s u r p r i s e s i n f o u r separate sub- periods between September 1977 and September 1984. This s e c t i o n a1so in c l udes concluding comments. 11. The Issues Surrounding t h e E f f e c t s o f Money Stock Announcements The I n f o r m a t i o n Content o f Weekly Announcements A common e r r o r i n t h e l i t e r a t u r e on t h e e f f e c t o f money stock announce- ments i s the reference t o them as a supply e f f e c t . Nichols, Small, and Webster (1 983) c o r r e c t l y p o i n t o u t t h a t t h e weekly Federal Reserve r e l e a s e o f t h e M1 data i s an announcement o f t h e p r e l i m i n a r y estimate o f t h e change i n t h e money stock f o r t h e week ended e i g h t days t o t e n days e a r l i e r . The announcement o f the change i n t h e money stock provides new i n f o r m a t i o n about t h e q u a n t i t y o f money. I t does n o t d i s t i n g u i s h between demand and supply shocks, n o r does i t d i s t i n g u i s h between temporary and permanent shocks. I f t h e weekly M1 growth s e r i e s has a d e t e r m i n i s t i c trend, then weekly v a r i a t i o n s i n M I should be t h e r e s u l t o f temporary shocks and t h e weekly announcements should p r o v i d e 1it t l e i n f o r m a t i o n about f u t u r e 1eve1 s o f money and p r i c e s . I f so, the observed response o f asset p r i c e s t o money stock announcements may r e s u l t from market o v e r - r e a c t i on. Thi s hypothesi s is http://clevelandfed.org/research/workpaper/index.cfm Best available copy o f f e r e d by S h i l l e r , Campbell, and Schoenholtz (1983). I f t h e weekly M I growth s e r i e s has a s t o c h a s t i c trend, then weekly v a r i a t i o n s i n M1 c o u l d be t h e r e s u l t o f permanent shocks, and t h e weekly announcements c o u l d c o n t a i n u s e f u l i n f o r m a t i o n about f u t u r e l e v e l s o f money and p r i c e s . I n t h i s case, t h e market r e a c t i o n i s appropriate. We use Nelson and P l o s s e r ' s (1982) method t o t e s t whether a s e r i e s has a d e t e r m i n i s t i c o r a s t o c h a s t i c trend. s e r i e s a r e shown below. Two models o f t h e weekly money stock The f i r s t i s a model w i t h a d e t e r m i n i s t i c t r e n d : The second i s a model w i t h a s t o c h a s t i c trend: I n each case, 7' and 0 s a t i s f y c o n d i t i o n s f o r s t a t i o n a r i t y and i n v e r t i b i l i t y . I n model 2 the s u r p r i s e i n t h e money stock announcement w i l l be a t r a n s i t o r y random e r r o r , l i k e l y t o be o f f s e t i n f u t u r e d e v i a t i o n s o f money from trend. I n model 3 a s u r p r i s e i n M I i s permanently i n c o r p o r a t e d i n t h e 1eve1 o f M I . The Federal Reserve's p o l i c y o f rebasing t a r g e t s a t t h e end o f each t a r g e t i n g p e r i o d 1ends credence t o t h e second model . I f model 2 i s accurate, then weekly v a r i a t i o n s i n M I should have l i t t l e i n f o r m a t i o n about f u t u r e l e v e l s o f money and p r i c e s . Federal Reserve o f f i c i a l s have maintained f o r some time t h a t such i s t h e case. In a letter to Senators Jake Garn and W i l l i a m Proxmire, Federal Reserve Chairman Paul Volcker ( 1981 ) wrote: There i s n e a r l y unanimous agreement by a l l observers t h a t weekly money s t a t i s t i c s a r e extremely e r r a t i c , and t h e r e f o r e , poor i n d i c a t o r s o f u n d e r l y i n g trends. Whi 1e monthly data can o f t e n d e v i a t e considerably from such trends, t h e weekly observations a r e p a r t i c u l a r l y " noisy." Week-to-week changes a r e q u i t e l a r g e and http://clevelandfed.org/research/workpaper/index.cfm Best available copy recent estimates indicate t h a t the "noise" element--attributable t o the random nature of money flows and d i f f i c u l t i e s i n seasonal adjustment--accounts f o r plus or m i n u s $ 3 . 3 billion i n weekly change two-thirds of the time. Such a large e r r a t i c element appears i n t r i n s i c t o money behavior, rather than implying poor underlying statistics. This interpretation of the "noise" i n MI data suggests t h a t weekly MI announcements contain 1i t t l e information about future 1eve1s of the money stock or prices. T h i s interpretation implies t h a t there i s a deterministic trend in the money supply. If so, the variance of forecast errors a t period t + n i s bounded f o r a l l n. If model 3 i s accurate, the variance of the forecast e r r o r i s unbounded as n3-, and the l a t e s t change in itll may be an important b i t of information i n forming predictions about long-run level s of MI. The market will use a1 1 of the information i t has t o make 1ong-term forecasts of MI. When the long-run objectives of policy are unclear, the weekly s t a t i s t i c s become more The Federal Reserve can make the weekly s t a t i s t i c s l e s s relevant important. by announcing and foll owing credible long-run pol icies. The t e s t i s calculated from the following regression: where m = natural log of MI, A = constant, t = time, and e = random error. Here k i s large enough to remove tile systematic component from the error term. The t e s t i s based on the assumption t h a t only autoregressive terms a r e http://clevelandfed.org/research/workpaper/index.cfm Best available copy needed to obtain satisfactory representations of the e r r o r term. Nelson and Plosser (1982) show that the t e s t of whether a time series has a deterministic or a stochastic trend can be reduced t o a t e s t of whether the autoregressive process generating the time s e r i e s has a root equal t o unity. They show that f 1 of equation 4 i s equal to the sum of the autoregressive parameters, the (Pi. Under the null hypothesis t h a t the time series has a stochastic trend, this sum will equal unity. The r e s u l t s of t h i s estimation, shown i n tab1 e 1, support the hypothesis that the weekly M1 data are generated by model 3. The relevant s t a t i s t i c for our purposes i s 7 , which i s the t - s t a t i s t i c for the hypothesis that P1 = 1. Fuller (1976) shows the distribution of under the hypothesis t h a t f1 = 1. Z For the sample size of 100, the 0.05 c r i t i c a l value i s -3.45; f o r a sample size of 250, the 0.05 c r i t i c a l value i s -3.43. Dickey and Fuller (1 979) provide Monte Carlo evidence on the power of the t e s t . Using both the expected and the first- published data on MI, we cannot r e j e c t the hypothesi s that the autoregressive processes generating the data contain a root equal to unity. These r e s u l t s are consistent with the hypothesis t h a t the weekly money stock data contain important information about future levels of MI. Of course, whether the announcements contain information about future prices depends on whether the stochastic trend i s caused by non-stationarity in the nominal money supply or i n the real money demand function. be1 ow. An examination of t h i s issue i s provided i n the discussion http://clevelandfed.org/research/workpaper/index.cfm Best available copy Table 1 T e s t i n g f o r an Autoregressive Root Equal t o U n i t y i n t h e Stochastic Process Generating Weekly Money Stock Data Pre-October 1979 Jan 5, 1978 - Post-October 1979 Oct 4,1979 Feb 8, 1980 - Sept 20, 1984 mt l o g (Mia) l o g (Mle) l o g (Mla) l o g (Mle) SEE 0.00554 0.00377 0.0051 8 0.00425 Notes: The t - s t a t i s t i c s a r e shown i n parentheses. Mla i s t h e f i r s t pub1i s h e d f i g u r e f o r MI. Mle i s t h e sum o f t h e previous p e r i o d Mla and t h e change p r e d i c t e d by t h e p a r t i c i p a n t s i n Money Market Services weekly survey. The second sample p e r i o d begins i n February 1980, a f t e r t h e change i n t h e d e f i n i t i o n o f M I . I n no case can we r e j e c t t h e hypothesis t h a t f 1 = 1. The 0.05 c r i t i c a l value f o r % i s -3.43 f o r sample s i z e s o f 100. C r i t i c a l Review o f t h e L i t e r a t u r e Extensive research on t h e t o p i c o f t h e money supply announcements over t h e l a s t f i v e years has l e d t o a predominance o f f o u r main hypotheses. The f i r s t h y p o t h e s i s asserts t h a t a s u r p r i s e i n t h e money stock announcement c o n t a i n s http://clevelandfed.org/research/workpaper/index.cfm Best available copy i n f o r m a t i o n about f u t u r e money supply growth. Cornel 1 ( 1 983a) c a l l s i t t h e expected i n f l a t i o n hypothesis, i n which a p o s i t i v e money stock s u r p r i s e w i l l be i n c o r p o r a t e d i n f u t u r e l e v e l s o f t h e money supply. As a r e s u l t , i n t e r e s t r a t e s r i s e t o r e f l e c t an i n f l a t i o n premium, and t h e d o l l a r depreciates a g a i n s t major f o r e i g n currencies. However, the spot exchange r a t e does n o t depreciate i n t h e pre-October 1979 p e r i o d as t h i s hypothesis p r e d i c t s . Furthermore, t h e spot value o f the d o l l a r appreciates f o l l o w i n g t h e money stock announcement i n t h e post-October 1979 period. Also, t h i s hypothesis does n o t e x p l a i n why long- term i n t e r e s t r a t e s and forward i n t e r e s t r a t e s r e a c t more s t r o n g l y i n t h e post- October 1979 p e r i o d than i n t h e pre-October 1979 period. To e x p l a i n t h e s t r o n g e r r e a c t i o n o f long- term r a t e s i n t h e l a t e r period, advocates o f t h e expected i n f l a t i o n hypothesis have t o assume t h a t t h e October 6, 1979, change i n t h e o p e r a t i n g procedure 1ed t c a decl ine i n t h e Federal Reserve ' s concern about i n f l a t i o n . The secbnd hypothesis assumes t h a t money stock s u r p r i s e s c o n t a i n i n f o r m a t i o n about money demand shocks. hypothesis. This i s c a l l e d t h e p o l i c y a n t i c i p a t i o n Works by U r i c h and Wachtel (1981 ), U r i c h (1982), and Roley and Walsh (1983) a r e based on t h e assumptions t h a t p r i c e s a r e f i x e d and t h a t t h e Federal Reserve uses a p a r t i a l adjustment procedure t o achieve i t s monetary targets. The p u b l i c expects d e v i a t i o n s o f t h e money stock from t h e preannounced t a r g e t s t o be o f f s e t gradually. Under nonborrowed reserve t a r g e t i n g , an exogenous demand shock w i l l a u t o m a t i c a l l y f o r c e more banks t o go t o t h e discount window. T h i s shock w i l l be completely o f f s e t i f t h e Federal Reserve maintains i t s nonborrowed reserve t a r g e t . Under t a r g e t i n g o f t h e f e d e r a l funds r a t e , the shocks i n i t i a l l y w i l l be accommodated b u t c o u l d be o f f s e t e v e n t u a l l y i f t h e Federal Reserve were w i l l i n g t o a d j u s t t h e f e d e r a l funds r a t e t a r g e t promptly. Therefore, given p r i c e r i g i d i t y , a p o s i t i v e money http://clevelandfed.org/research/workpaper/index.cfm Best available copy stock surprise would generate anticipation of future tightening of money growth, which would r a i s e short-term real i n t e r e s t r a t e s via the liquidity e f f e c t and long-term real i n t e r e s t rates via the expectations theory of the term structure. The change i n real i n t e r e s t rates would induce international capital flows t h a t would r e s u l t in a do1 l a r appreciation.3 The duration and strength of the policy anticipation e f f e c t would depend on how long i t takes the Federal Reserve to o f f s e t past deviations from the target and the degree of price rigidity. This hypothesis i s not consistent w i t h the empirical evidence. inconsistency l i e s in the reaction of the forward i n t e r e s t rates. The Shiller, Campbell , and Schoenhol t z (1983) and Hardouvel i s (1984) have shown t h a t longer-term forward i n t e r e s t rates react strongly t o money stock announcements. The pol icy anticipation hypothesis expl ains the r e s u l t only i f the liquidity e f f e c t l a s t s f o r several years. The third hypothesis i s a synthesis of the f i r s t two. Hardouvel i s (1984) and Loeys (1984) argue thax the liquidity e f f e c t dominates i n the short r u n and the inflation premium e f f e c t dominates i n the long r u n . Following a positive surprise in the money stock, short-term nominal i n t e r e s t rates r i s e because the market expects the Federal Reserve to o f f s e t p a r t i a l l y the deviations above the money supply target. However, because the Federal Reserve i s not expected t o o f f s e t the money stock surprise completely, inflationary expectations and long-term i n t e r e s t rates r i s e . In addition, Hardouvelis shows t h a t the reactions of the spot exchange rates and the expected spot exchange rates five years ahead, which are derived from an open i n t e r e s t rate parity condition, support his hypothesis. The spot values of the dollar against several foreign currencies appreciate, and the expected future spot rates depreciate. However, the expected future spot rates a r e http://clevelandfed.org/research/workpaper/index.cfm Best available copy constructed on the implicit assumption t h a t real i n t e r e s t r a t e s a r e fixed. These r e s u l t s cannot be used t o distinguish between the policy anticipation and the inflation premi urn hypotheses, because the inflation premium hypothesis was implicitly assumed i n the construction of the expected spot exchange rate. There i s another drawback i n t h i s third hypothesis. Cornell ( 1 983b, p. 655) points out t h a t " i t i s i n t u i t i v e l y d i f f i c u l t t o understand how the same announcement leads agents to expect monetary r e s t r i c t i o n i n the short run, b u t monetary ease i n the long run." The Hardouvelis argument t h a t the significant response of long forward rates i n the post-October 1979 period r e f l e c t s an inflation premium i s not satisfactory. The period before October 1979 was more inflationary, y e t empirical evidence indicates a weak reaction of forward i n t e r e s t rates to money stock announcements during the period. Hardouvel i s hypothesi s i s not consistent w i t h t h i s evidence. The Furthermore, there i s no economic theory t o explain why the spot and expected spot exchange rates would move i n opposite directions following a surprise i n the money stock announcement. The explanation given by Hardouvelis i s plausible. However, t h i s explanation i s based on an arbitrary expectation of a future reversal of pol icy, which i s not refutable. The fourth hypothesis, outlined by Nichols, Small, and Webster, i s called the real a c t i v i t y hypothesis.4 They argue t h a t i f prices are fixed and the Federal Reserve pursues a policy of constant money growth, money stock surprises provide information about current and future real money demand growth t h a t results from real- sector disturbances. A positive money stock surprise signals t o the market participants stronger current and future money demand growth relative to the given money supply growth. As a result, current and expected future real i n t e r e s t rates r i s e to c l e a r the money market. http://clevelandfed.org/research/workpaper/index.cfm Best available copy On t h e e m p i r i c a l l e v e l , t h e hypothesis s u f f e r s because M1 growth was s t r o n g i n 1a t e 1981 , 1982, and e a r l y 1983 whi 1e r e a l a c t i v i t y was s u r p r i s i n g l y weak; y e t , t h i s was the p e r i o d when t h e r e l a t i o n s h i p between money stock s u r p r i s e s and i n t e r e s t r a t e s was strongest. Furthermore, t h i s hypothesis cannot e x p l a i n why i n t e r e s t r a t e s respond t o money stock s u r p r i s e s i n t h e pre-October 1979 p e r i o d when t h e Federal Reserve was accommodating money demand shocks. On t h e a n a l y t i c a l l e v e l , t h e assumption o f p r i c e r i g i d i t y i s n o t necessary t o e x p l a i n why t h e s u r p r i s e i n t h e money stock announcement leads t o changes i n expected r e a l i n t e r e s t r a t e s . Evidence from t h e Foreign Exchange Market Since t h e evidence o f t h e r e a c t i o n o f i n t e r e s t r a t e s t o t h e money stock announcements was i n s u f f i c i e n t t o d i s t i n g u i s h between competing hypotheses, researchers were encouraged t o 1ook a t a c r o s s s e c t i o n o f markets. Engel and Frankel (1984) use evidence from t h e s p o t market f o r exchange r a t e s t o d i s t i n g u i s h between the expected i n f l a t i o n hypothesis and the p o l i c y a n t i c i p a t i o n hypothesis. This subsection shows t h a t t h e assumption o f p r i c e r i g i d i t y i n t r o d u c e d by Engel and Frankel i s n o t necessary t o e x p l a i n t h e a p p r e c i a t i o n o f the d o l l a r f o l l o w i n g a p o s i t i v e money stock s u r p r i s e . Also, t h e i n f o r m a t i o n provided by the spot exchange r a t e i s incomplete and, under c e r t a i n c o n d i t i o n s , may be m i s l eadi ng. A f u l l y devel oped v e r s i o n o f t h e Engel -Frankel model in c l udes : http://clevelandfed.org/research/workpaper/index.cfm Best available copy where mt and pt = l o g s o f t h e money supply and t h e p r i c e l e v e l , it= s h o r t - t e r m i n t e r e s t r a t e , = i n f l u e n c e o f r e a l income and o t h e r exogenous s h i f t s i n money demand, at rt = r e a l i n t e r e s t r a t e , = expected v a r i a b l e , and * = f o r e i g n country v a r i a b l e . Equation 5 i s a Cagan-type money demand equation. Equations 6 and 7 show t h e F i s h e r r e l a t i o n s h i p s f o r t h e home c o u n t r y and t h e f o r e i g n country. i n f l a t i o n i s represented by -- * e pt+l * pt. Expected e* Normalizing so t h a t pt+l pt = 0, and assuming t h a t rt = rt, we o b t a i n t h e f o l l o w i n g expression from equations 5 through 7: (8) mt - pt = -A * e ( P ~ +- ~pt + i t ) + at. S o l v i n g 5 f o r pt through the method of r e c u r s i v e s u b s t i t u t i o n , we o b t a i n t h e f o l l owing expression: Assume t h a t a p o s i t i v e money stock announcement i n p e r i o d t leads t h e market t o r e v i s e upward i t s expectations concerning c u r r e n t and f u t u r e money demand changes. I f t h e Federal Reserve i s f o l l o w i n g a c r e d i b l e pol i c y o f p r i c e s t a b i 1 it y , t h e announcement w i 11 n o t a f f e c t the market' s expectations w i t h I r e g a r d t o f u t u r e money supply changes. equal t o : The new p r i c e l e v e l ( p t ) w i l l be http://clevelandfed.org/research/workpaper/index.cfm Best available copy Subtracting equation 9 from equation 10 yields equation 11 : I Because Etat+j i s greater than Etat+j f o r every value of t, the - pt difference i s negative; i . e . , the price level will f a l l . Note t t h a t i f the exchange rate i s determined by purchasing power parity, the exchange rate equation can be written i n log form as follows: The reduction i n the domestic price level will lead t o a d o l l a r appreciation, * given t h a t pt remains unchanged. Similarly, i t can be shown t h a t the future price level, pt+l, will fa1 1. If the forward exchange r a t e i s an unbiased predictor of the future spot rate, and i f the l a t t e r i s determined by the price level differential in period t + l , the forward exchange rate will appreciate. Wal sh (1984) argues that the change in operating procedures in 1979 caused a change i n the parameters of the money demand function. Whether due t o the inflation policy change or the operating procedure change, there appears t o have been an increase in the i n t e r e s t e l a s t i c i t y of money demand sometime a f t e r October 1979. I f there was an increase i n 2 , the change in the price level shown in equation 11 would be larger following a surprise increase In sum, i t has been shown t h a t i f a money stock surprise signals a persistent money demand shock originating i n a portfolio disturbance and i f the Federal Reserve i s following a fixed money growth rule, the spot and forward exchange rates will appreciate. r i g i d i t y to obtain t h i s result. There i s no need t o assume price http://clevelandfed.org/research/workpaper/index.cfm Best available copy Furthermore, s t u d i e s t h a t examine t h e r e a c t i o n o f s p o t exchange r a t e s t o money stock announcements i g n o r e t h e e f f e c t s o f f o r e i g n exchange i n t e r v e n t i o n by monetary a u t h o r i t i e s t h e day a f t e r t h e money stock announcement. To i l l u s t r a t e t h i s p o i n t , assume t h a t t h e monetary a u t h o r i t i e s i n t e r v e n e based on t h e f o l 1owing r u l es : where It= amount o f d o l l a r i n t e r v e n t i o n by t h e U n i t e d States t h e day a f t e r t h e announcement, MtS = money stock s u r p r i s e , and = amount o f d o l l a r i n t e r v e n t i o n by West Germany t h e day a f t e r t h e announcement. Although t h e exchange r a t e and i n t e r v e n t i o n are interdependent, f o r t h e sake o f simp1 i c i t y we can w r i t e t h e f o l l o w i n g equation: where e t = exchange r a t e on t h e day f o l l o w i n g the announcement, and Zt = o t h e r r e l e v a n t v a r i a b l e s on the day f o l l o w i n g t h e announcement. Equation 15 s t a t e s t h a t on t h e day f o l l o w i n g the announcement t h e exchange r a t e w i l l be determined by domestic and f o r e i g n i n t e r v e n t i o n and a l l o t h e r re1evant f a c t o r s represented by t h e v e c t o r Z. The observed r e l a t i o n s h i p between a p o s i t i v e money stock s u r p r i s e and an a p p r e c i a t i n g d o l l a r may be spurious. I f t h e Federal Reserve expects t h e d o l l a r t o depreciate sharply f o l l o w i n g a p o s i t i v e money stock surprise, i t may purchase d o l l a r s h e a v i l y t h e n e x t day--perhaps j o i n t l y w i t h t h e West German http://clevelandfed.org/research/workpaper/index.cfm Best available copy authorities. I f so, t h e a p p r e c i a t i o n o f t h e d o l l a r was n o t caused by t h e announcement e f f e c t b u t by i n t e r v e n t i o n ; the Engel and Frankel and t h e Hardouvel i s i n t e r p r e t a t i o n s thus may be i n c o r r e c t . T e s t i n g f o r t h e s i g n i f i c a n c e o f t h i s hypothesis i s extremely d i f f i c u l t because o f s i m u l t a n e i t y problems. However, f o r t h e Engel and Frankel sample p e r i o d (October 1979 t o August 1981 1, t h e c o r r e l a t i o n c o e f f i c i e n t between t h e money stock s u r p r i s e and U.S. r e l a t i v e l y small. i n t e r v e n t i o n on t h e f o l l o w i n g day i s -0.106, The negative s i g n i m p l i e s t h a t f o l l o w i n g a p o s i t i v e money stock surprise, t h e U n i t e d States s o l d d o l l a r s , which would moderate t h e d o l l a r appreciation. T h i s i s c o n s i s t e n t w i t h t h e n o t i o n t h a t c e n t r a l banks " l e a n a g a i n s t t h e wind" i n t h e i r i n t e r v e n t i o n pol i c y , and i t makes t h e Engel and Frankel f i n d i n g s mot-e c r e d i b l e . The U n i t e d S t a t e s has p r a c t i c a l l y ceased i n t e r v e n t i o n i n t h e f o r e i g n exchange markets under t h e Reagan a d m i n i s t r a t i o n . However, t h e West German and o t h e r European monetary a u t h o r i t i e s have continued i n t e r v e n i n g r e g u l a r l y , which s t i l l r a i s e s some questions about t h e i n t e r p r e t a t i o n o f r e s u l t s from t h e spot r e a c t i o n o f t h e spot exchange r a t e t o money stock announcements. F i n a l l y , researchers have ignored the i n f o r m a t i o n contained i n t h e changes o f t h e forward exchange r a t e . The advantages of examining t h e r e a c t i o n o f forward exchange r a t e s a r e twofold: changes i n t h e forward exchange r a t e s f o l l o w i n g a money stock s u r p r i s e a r e f r e e o f t h e i n f l u e n c e o f i n t e r v e n t i o n , and t h e examination o f t h e simultaneous r e a c t i o n o f t h e spot and forward exchange r a t e s provides useful i n f o r m a t i o n as t o t h e nature and p e r s i s t e n c e o f a shock. http://clevelandfed.org/research/workpaper/index.cfm Best available copy 111. The Role of Policy Regimes and Operating Procedures The empirical studies cited above do not distinguish clearly between the different policy regimes and the various operating procedures t h a t may be used t o achieve the d i f f e r e n t policies. to make the distinction. In theory, there i s l i t t l e a priori reason If a regime were defined i n terms of a pol icy objective function and a structural model, then any change i n the objective function or i n the structure, including a change i n the short-run pol icy reaction function, would lead t o a change in the reduced-form equations f o r asset prices. In practice, changes in very short-run operating procedures may have l i t t l e e f f e c t on asset prices i f the objective function and other structural parameters remain fixed. Many different operating procedures could be used to achieve the same objectives; or, one operating procedure could be used t o achieve very different objectives. O u r hypothesis i s that the Federal Reserve emphasized non-price objectives before October 1979. During thi s period the Federal Reserve used an i n t e r e s t - r a t e targeting procedure t o achieve the monetary targets. After October 1979 the Federal Reserve p u t more emphasis on ending inflation and adopted a policy t h a t led t o decelerating inflation. A t the same time the Federal Reserve switched t o a nonborrowed reserve operating procedure i n which i t t r i e d t o control the money supply by controlling nonborrowed reserves directly and by applying administrative pressure a t the discount window. The nonborrowed reserve procedure was o f f i c i a l l y abandoned i n October 1982. Since t h a t time, the Federal Reserve has used a borrowed reserve targeting procedure. I t i s shown below that a borrowed reserve procedure may be described as an interest- rate smoothing procedure. However, the return to http://clevelandfed.org/research/workpaper/index.cfm Best available copy - 19 - an i n t e r e s t - r a t e smoothing procedure does not necessarily mean t h a t the Federal Reserve has returned t o an i nfl a t i onary pol icy regime. The Pol icy Regime The pol icy regime, defined i n t h i s study by the objectives of policy, should have an important e f f e c t on the pattern of responses by a s s e t prices to In the pre-October 1979 period, a surprise in the money stock announcement. the surprises i n the money stock mainly reflected money demand shocks t h a t on average carried M1 t o or above the upper l i m i t of the target range. Instead of offsetting these deviations from the monetary target, the Federal Reserve a1 lowed the monetary targets t o d r i f t upward. This pol icy 1ed the market to be1 ieve that a positive money stock surprise would lead to a s h i f t i n the money supply function, regardless of the origin of the shock. A positive money stock surprise was an indication of future inflation; one expected i n t e r e s t rates to r i s e and the dollar t o depreciate in response to a higher i n f l a t i o n premium. In the post-October 1979 period, the Federal Reserve announced t h a t i t was placing more emphasis on ending inflation. operating procedures. The Federal Reserve a1 so switched The nonborrowed reserve procedure allowed the Federal Reserve a method of inducing large interest- rate changes i n response t o deviations of money from target. Under t h i s procedure, the Federal Reserve was able to reverse deviations of M1 from the target path more quickly. Thus, the change in procedures l e n t credi bil i ty to the Federal Reserve's announcement that i t had switched t o a policy of disinflation. After 1980, the actual inflation rate began t o f a l l more quickly than expected. Inflation expectations were lowered, and there was a large increase in the demand for money. In the classical model ,-a one-time 1owering of the http://clevelandfed.org/research/workpaper/index.cfm Best available copy i n f l a t i o n r a t e r e q u i r e s a one- time d e c l i n e i n t h e p r i c e l e v e l - - o r a compensating increase i n t h e nominal money supply- - to c l e a r t h e market f o r r e a l balances. I n t h i s p e r i o d t h e r e was a r a p i d d e c l i n e o f i n f l a t i o n below t h e r a t e t h a t was thought t o be c o n s i s t e n t w i t h t h e Federal Reserve's monetary t a r g e t s , and t h e r e was a l a r g e p o s i t i v e d r i f t i n M I above t h e t a r g e t s i n both 1982 and 1983. T h i s one-time s h i f t i n t h e demand f o r r e a l balances described above i s a temporary phenomenon. Mundel 1 ( 1 963 and Tobin (1 965) argue t h a t a r e d u c t i o n i n t h e e q u i l i b r i u m i n f l a t i o n r a t e can a1 so r a i s e t h e t r e n d i n t h e growth r a t e o f money demand; t h i s r e s u l t s from a wealth e f f e c t . 6 A t a lower expected i n f l a t i o n r a t e , t h e h i g h e r demand f o r t h e r e a l balances w i l l l e a d t o a l e f t w a r d s h i f t i n t h e demand f o r r e a l savings and t o an increase i n t h e .real i n t e r e s t rate. D u r i n g t h i s p e r i o d t h e r e was another i m p o r t a n t f a c t o r t h a t should have l e d t o an i n c r e a s e i n t h e demand f o r money--the end o f t h e p r o h i b i t i o n a g a i n s t e x p l i c i t i n t e r e s t - r a t e payments on checkable deposits i n January 1981. This change a l s o was expected t o have b o t h temporary and permanent e f f e c t s on t h e growth o f t h e demand f o r M I . When d e p o s i t o r y i n s t i t u t i o n s were allowed t o pay i n t e r e s t on checkable accounts, t h e r e should have been a one-time s h i f t o f funds o u t o f passbook savings and o t h e r sources o f wealth i n t o M I . This l a r g e t r a n s i t o r y s h i f t o f funds was expected t o be f o l l o w e d by a permanent increase i n t h e growth r a t e o f t h e demand f o r M I , r e s u l t i n g from the permanent r e d u c t i on i n the o p p o r t u n i t y c o s t o f h o l d i n g checkable deposits. 7 In sum, these changes c o u l d have been expected t o increase t h e demand f o r r e a l balances. As l o n g as t h e Federal Reserve was expected t o m a i n t a i n i t s d i s i n f l a t i o n o b j e c t i v e , i t was n o t expected t o accommodate f u l l y f u t u r e i n c r e a s e s i n money demand. Therefore, a p o s i t i v e money stock s u r p r i s e was http://clevelandfed.org/research/workpaper/index.cfm Best available copy seen as a r e l a t i v e increase i n money demand, l e a d i n g t o an increase i n t h e real i n t e r e s t rate. I f t h i s hypothesis i s c o r r e c t , then i n t h e post-1979 p e r i o d we expect an increase i n b o t h s h o r t - and long- term i n t e r e s t r a t e s and a s i g n i f i c a n t a p p r e c i a t i o n i n b o t h spot and forward exchanges f o l l o w i n g a s u r p r i s e increase i n t h e money stock. The Operating Procedure Monetary p o l i c y a c t i o n s in f l uence market v a r i a b l e s d i r e c t l y through t h e i r e f f e c t on t h e reserve market and i n d i r e c t l y through t h e i r e f f e c t on expectations. We have examined t h e i n d i r e c t e f f e c t . T h i s subsection describes t h e d i r e c t e f f e c t by a n a l y z i n g a t y p i c a l bank's use o f i n f o r m a t i o n i n t h e money stock announcement under a l t e r n a t i v e reserve accounting r u l e s and o p e r a t i n g procedures. Between September 1968 and February 1984, banks were . r e q u i r e d t o h o l d reserves a g a i n s t d e p o s i t s on a 1agged b a s i s ; i e., average d a i l y reserves h e l d i n any g i v e n week were used t o meet reserve requirements c a l c u l a t e d from d e p o s i t l e v e l s o f two weeks e a r l i e r . T h i s 1ag was i n s t i t u t e d i n 1968 t o g i v e i n d i v i d u a l banks p r e c i s e knowledge about t h e l e v e l o f t h e i r reserve requirement. The l a g a l s o gave t h e Federal Reserve time t o c o l l e c t i n f o r m a t i o n about aggregate reserve demand. I n February 1984, t h e Federal Reserve implemented a r e t u r n t o almost contemporaneous reserve accounting. The banking system had objected t o t h i s s w i t c h on the grounds t h a t i t would be c o s t l y t o s e t up t h e i n f o r m a t i o n systems necessary t o m o n i t o r d e p o s i t l e v e l s on an instantaneous basis. As a concession t o t h i s issue, t h e Federal Reserve chose a form o f CRR t h a t was n o t t r u l y contemporaneous; instead, t h e l a g was reduced from f o u r t e e n days t o two days. http://clevelandfed.org/research/workpaper/index.cfm Best available copy The new r u l e s i n c l u d e d o t h e r changes. One was a l e n g t h e n i n g o f t h e reserve accounting p e r i o d from one week t o two weeks. Banks now p o s t reserves averaged over two weeks ending on a Wednesday, a g a i n s t d e p o s i t s averaged over two weeks ending on a Monday. Banks have two days t o measure t r a n s a c t i o n s deposits and a d j u s t t h e i r reserve p o s i t i o n s accordingly. Only reserve requirements a g a i n s t t r a n s a c t i o n s d e p o s i t s a r e contemporaneous. There was a l s o a change i n t h e t i m i n g o f t h e weekly money stock announcement. EST. The announcement was moved up one day t o Thursday, 4:30 prn Even though t h e Federal Reserve r e q u i r e d banks t o speed up t h e c o l l e c t i o n and r e p o r t i n g o f d e p o s i t data, the a c t u a l data released on Thursday a r e " o l d e r " than data t h a t had been released on Friday. Under t h e lagged reserve accounting r u l e s , t h e weekly money stock data re1eased on F r i d a y r e f e r r e d t o t h e average d a i l y l e v e l o f M1 f o r t h e week ending on Wednesday, n i n e days e a r l i e r . Under t h e new arrangement, t h e data released on Thursday r e f e r t o t h e average d a i l y l e v e l o f M1 f o r t h e week ending Monday, t e n days e a r lie r . On t h e l a s t day (Wednesday) o f the weekly s e t t l e m e n t period, a l l banks have t o meet t h e i r reserve requirements. This i s an unusual market; we can t h i n k o f no o t h e r where a l l fir-rns a r e r e q u i r e d t o a d j u s t i n v e n t o r i e s t o p r e - s p e c i f i e d l e v e l s a t t h e same time. E a r l y i n t h e reserve accounting period, b e f o r e t h e money supply announcernent, each bank coul d c a l c u l a t e i t s own reserve requirement, b u t i t d i d n o t know aggregate reserve demand. Under lagged reserve accounting r u l e s , t h e announcement o f M I was made nine days a f t e r t h e end o f t h e d e p o s i t computation period, b u t f i v e days before t h e end o f t h e reserve maintenance period. Consequently, t h e money stock announcement contained i n f o r m a t i o n about t h e aggregate demand f o r reserves i n the http://clevelandfed.org/research/workpaper/index.cfm Best available copy settlement p e r i o d ending f i v e days hence. Under contemporaneous reserve accounting r u l e s , t h e announcement o f M1 i s always made a f t e r t h e reserve market c l e a r s . To e x p l a i n t h e r e a c t i o n o f t h e f e d e r a l funds r a t e t o t h e money stock announcement, we w i l l l o o k a t t h r e e f a c t o r s : t h e reserve accounting r u l e s , t h e nonborrowed reserve o p e r a t i n g procedures, and t h e t i m i n g o f t h e r e l e a s e of i n f o r m a t i o n about t h e money stock. Under t h e f e d e r a l funds r a t e t a r g e t i n g procedure and lagged reserve accounting, t h e market had q u i t e good i n f o r m a t i o n about the reserve supply f u n c t i o n . The Federal Open Market Committee (FOMC) s e t narrow 1i m i t s w i t h i n which t h e federal funds r a t e was allowed t o fluctuate. The manager o f t h e open market desk a t the Federal Reserve Bank o f Mew York ( h e r e a f t e r r e f e r r e d t o as the desk) would e n t e r t h e market t o s e l l s e c u r i t i e s i f t h e f e d e r a l funds r a t e f e l l below t h e lower 1i m i t; he would e n t e r t h e market t o buy s e c u r i t i e s whenever t h e f e d e r a l funds r a t e traded above t h e upper l i m i t . This i n t e r v e n t i o n throughout t h e t r a d i n g day sent an immediate s i g n a l t o t h e market about t h e l i m i t s on t h e o p e r a t i n g t a r g e t . The FOMC d i r e c t e d t h e desk t o s e t a narrow range f o r t h e f e d e r a l funds r a t e , b u t t h e range was c o n d i t i o n e d on o b j e c t i v e s o f t h e FOMC, u s u a l l y on t h e growth o f t h e monetary aggregates r e l a t i v e t o s h o r t - r u n paths t h a t were s e t a t t h e FOMC meetings. However, changes i n t h e l i m i t s f o r t h e federal funds r a t e range were small and i n f r e q u e n t . As a r e s u l t o f t h i s procedure, t h e market n o t o n l y knew t h e c u r r e n t t a r g e t , b u t a l s o i t c o u l d f o r e c a s t short- term i n t e r e s t r a t e s several weeks i n advance w i t h small e r r o r s . The weekly money stock announcement was important i n p r e d i c t i n g t h e reserve supply f u n c t i o n o n l y i n so f a r as t h e f e d e r a l funds r a t e l i m i t s were expected t o be changed i n response t o a d e v i a t i o n o f t h e money stock from the d e s i r e d path. http://clevelandfed.org/research/workpaper/index.cfm Best available copy The reserve market i s shown in panel a of figure 1. The reserve supply function R; represents the end-of-period position of the reserve supply curve expected by market participants before the money supply announcement. Likewise, RBd represents the reserve demand function before the money stock announcement. The reserve supply function i s i n f i n i t e l y e l a s t i c reflecting the f a c t t h a t the Federal Reserve accommodated short-run changes i n the demand f o r reserves. The reserve demand curve i s i n e l a s t i c because of 1agged reserve requirements. announcement i s FF*. The actual federal funds rate target before the I t i s also the rate t h a t i s expected to prevail through the end of the reserve maintenance period. Suppose there i s a large unexpected increase i n b41 t h a t s h i f t s the expected end-of-period reserve demand curve t o the right. Early i n the next trading day, the market would learn whether t h i s increase were enough t o induce the desk t o s h i f t the reserve supply curve. If the desk intervened to prevent a r i s e i n i n t e r e s t rates, the quantity of reserves supplied would r i s e t o accommodate the increase i n demand. Because the public expected the Federal Reserve to accommodate unexpected s h i f t s i n money demand, the federal funds r a t e would be unchanged. However, we m i g h t expect longer-term i n t e r e s t rates t o r i s e i f the market participants expected t h i s increase i n supply t o lead t o inflation, or i f they expected the Federal Reserve t o raise the i n t e r e s t - r a t e operating range i n future weeks. During t h i s period the importance of the money stock announcement was limited by the information-transmitting aspects of the interest- rate operating procedure. When the FOMC announced a change i n operating targets on October 6, 1979, there was a dramatic change i n the information flow to the market about the r e l a t i v e position of the reserve supply function. Following an FOMC meeting, the Federal Reserve s t a f f of economists constructed paths f o r nonborrowed http://clevelandfed.org/research/workpaper/index.cfm Best available copy Panel a : F e d e r a l funds R a t e T a r g e t ( f F ' ) Panel b: t:onborroued Reserves T a r g e t (NBR') Panel c : Borroved Reserves T a r g e t F isure 1 http://clevelandfed.org/research/workpaper/index.cfm Best available copy reserves based on a short-run path f o r MI and an i n i t i a l borrowing assumption. The procedure was t o maintain the path f o r nonborrowed reserves and allow unexpected changes i n total reserve demand to feed into the discount window. The nonborrowed reserve path was adjusted automatically i n response t o unexpected changes i n the multiplier. Sometimes, though not often, the nonborrowed reserve path was adjusted judgmentally for policy reasons, such as the behavior of the broader aggregates or some other economic variable. 8 The reserve supply function i s shown i n panel b of figure 1. Market participants estimated expected nonborrowed reserve targets (NBR*) using information about the annual monetary targets, minutes from past FOFIC meetings, and recent information about MI. Neither market participants nor the Federal Reserve had accurate information about the demand f o r borrowed reserves. Federal Reserve administrative guidelines discouraged banks from borrowing a t the discount window. Therefore, i t took a greater spread between the federal funds r a t e and the discount rate t o induce more banks t o borrow a t the window. An unexpectedly 1arge increase i n the money stock induced a corresponding s h i f t in the expected reserve demand curve. Expectations about the c o s t of federal funds adjusted t o r e f l e c t new information about the aggregate demand f o r reserves. In panel b of figure 1 , i t i s c l e a r t h a t a d surprise increase i n the demand f o r reserves, from RBd t o RA, caused the federal funds rate t o r i s e from FFB t o FFA. An important aspect of the nonborrowed reserve operating target i s the automaticity i n the response of i n t e r e s t rates t o a deviation of MI from the short-run path. Under this procedure, deviations of the other aggregates are automati cal ly accommodated by the weekly mu1 ti pl i e r adjustments t o the nonborrowed reserve path. http://clevelandfed.org/research/workpaper/index.cfm Best available copy In the second half of 1982, the FOMC decided t h a t i t d i d not wish t o react automatically t o deviations of Ill from path. This decision was based on the uncertainty surrounding financial innovations, changing regulations, and the unusual behavior of MI velocity. In October 1982, the FOMC adopted a procedure based on a target f o r borrowed reserves and an assumption (prediction) about excess reserves. Under L R R , the Federal Reserve had relatively accurate information about reserve demand. The desk s e t nonborrowed reserve targets each week based on a forecast of reserve demand and the borrowing target chosen by the FOMC. Each week, the desk adjusted the nonborrowed reserve path ( N B R ) to accommodate the s h i f t in reserve demand. The procedure i s portrayed i n panel c of figure 1. The announcement of an unexpectedly large increase i n M1 was accompanied by a compensating s h i f t i n NBR so t h a t the borrowing target was maintained. On a weekly average basis t h i s procedure 1ooked much 1i ke the i nterest- rate operating procedure t h a t was i n e f f e c t before October 1979. One difference was t h a t any rotation of the borrowing demand curve led t o a different federal funds rate. During the nonborrowed reserve procedure, the Federal Reserve entered the market once a day, usually between 11:30 am and noon. The operation was primarily defensive; i . e . , i t was a response t o movements i n the uncontroll able sources of reserve supply. To a 1arge extent, that intra-week procedure was continued w i t h the borrowing target. The market participants did not know the exact amount of the borrowing t a r g e t , nor d i d they know the exact 1ocation of the borrowing function. Consequently, they could not narrow down a small range f o r the funds rate as they had done prior to October 1979. The weekly averages were very stable, b u t daily v o l a t i l i t y made i t more d i f f i c u l t f o r the market t o perceive changes i n the stance of policy than had been the case when the federal funds r a t e was the operating target. http://clevelandfed.org/research/workpaper/index.cfm Best available copy Nevertheless, on a weekly basis, t h e borrowing t a r g e t c o u l d be described as a federal funds r a t e smoothing procedure. Because o f lagged reserve requirements, the money stock announcement s t i l l contained i n f o r m a t i o n about t h e aggregate demand f o r reserves. However, because o f borrowed reserve t a r g e t i n g , market p a r t i c i p a n t s expected the Federal Reserve t o accommodate an u n a n t i c i p a t e d s h i f t i n t h e demand f o r reserves by a d j u s t i n g nonborrowed reserves. Therefore, one would expect no s i g n i f i c a n t r e a c t i o n o f t h e f e d e r a l funds r a t e t o money stock announcements. F i n a l l y , the r e c e n t change i n t h e reserve s e t t l e m e n t r u l e s has i m p o r t a n t i m p l i c a t i o n s f o r t h e e f f e c t o f money stock announcements on t h e f e d e r a l funds rate. Before February 2, 1984, t h e d e v i a t i o n of t h e money stock announcement from t h e expected l e v e l gave t h e market two types o f i n f o r m a t i o n : t h e f i r s t was information about t h e aggregate q u a n t i t y o f reserves t h a t would be demanded over the n e x t few t r a d i n g days; t h e second was i n f o r m a t i o n about t h e p o s i t i o n o f t h e money stock r e l a t i v e t o the perceived p o l i c y t a r g e t . Under t h e hypothesis t h a t p r i c e s i n e f f i c i e n t markets aggregate i n f o r m a t i o n , the money stock announcements no l o n g e r i n c l u d e new i n f o r m a t i o n about aggregate r e s e r v e demand. That i n f o r m a t i o n w i l l already be apparent from t h e i n t e r e s t r a t e s t h a t p r e v a i l e d d u r i n g the reserve settlement p e r i o d t h a t w i l l have ended before t h e money stock d a t s are released. The market w i l l a l s o have b e t t e r i n f o r m a t i o n about t h e money stock r e l a t i v e t o t h e perceived pol i c y t a r g e t . To some e x t e n t i t w i l l be i n f e r r e d from t h e i n f o r m a t i o n i n aggregate reserves. Furthermore, banks i n s t a l l e d new i n f o m a t i o n - g a t h e r i n g systems t o meet reserve requirements on a contemporaneous basis. Many arrangements have been made by banks and p r i v a t e f i r m s t o pool d e p o s i t i n f o r m a t i o n i n a way t h a t mimics t h e process o f deposit data c o l l e c t i o n used by t h e Federal Reserve. These f a c t o r s http://clevelandfed.org/research/workpaper/index.cfm Best available copy suggest t h a t t h e r e w i l l n o t be a s i g n i f i c a n t c o r r e l a t i o n between s u r p r i s e s i n t h e money stock announcements and subsequent changes i n asset p r i c e s . IV. Empirical Resul t s The e m p i r i c a l r e s u l t s presented i n t h i s s e c t i o n a r e based on estimates o f t h e parameters o f equation 1, shown i n t h e i n t r o d u c t i o n . The assets i n c l u d e d i n t h i s study a r e t h e f e d e r a l funds r a t e , a trade- weighted d a i l y average; t h e coupon- equivalent y i e l d on three- and twelve-month Treasury b i l l s ; and t h e constant m a t u r i t y y i e l d on three- year, seven-year, and t h i r t y - y e a r Treasury bonds.'' (See appendix A f o r a d e t a i l e d d e s c r i p t i o n o f t h e data. ) money stock announcement was made a t 4:15 o r 4:30 pm EST. The Estimates o f al and a* f o r domestic i n t e r e s t r a t e s a r e r e p o r t e d i n t h e t o p o f t a b l e s 2 and 3. We have f o l l o w e d t h e suggestion o f S h i l l e r , Campbell, and Schoenholtz by i n c l u d i n g t h e forward i n t e r e s t r a t e s i m p l i e d by t h e expectations t h e o r y o f t h e term s t r u c t u r e . We use S h i l l e r ' s (1979) duration- adjusted 1 i n e a r approximation t o c o n s t r u c t t h e i m p l i e d forward r a t e s . Estimates o f al and a* f o r t h e i m p l i e d forward r a t e s a r e shown i n t h e middle o f t a b l e s 2 and 3. I n a d d i t i o n , we examine the r e a c t i o n s o f t h e dollar/mark spot r a t e , t h e three-month dollar/mark forward r a t e , and t h e twelve-month dollar/mark forward r a t e t o money stock announcements. These r e s u l t s a r e shown i n t h e bottom o f t a b l e s 2 and 3. The f u l l sample p e r i o d s t a r t s on September 28, 1977, and ends on September 21, 1984. We assume t h a t t h e r e was a s w i t c h from a p o l i c y t h a t l e d t o a c c e l e r a t i n g i n f l a t i o n b e f o r e October 1979 t o a pol i c y t h a t emphasized d i s i n f l a t i o n a f t e r October 1979. d i f f e r e n t o p e r a t i n g procedures: The e s t i m a t i o n p e r i o d i n c l udes t h r e e a f e d e r a l funds r a t e o p e r a t i n g procedure from http://clevelandfed.org/research/workpaper/index.cfm Best available copy - Table 2 30 Impact of Money Stock Surprises on Asset Prices ( a l ) Operating t a r g e t Federal funds LRR Nonborrowed reserves Borrowed reserves Federal funds r a t e 0.01 8 (0.87) 0. 378a (4.04) 0.098 (1.50) 0.043~ (0.34) 3-month Treasury 0.072 (3.11 0.364 (6.58) 0.1 90 (5.77) 0.01 9 (0.45) 1 2-month Treasury 0.072 (4.73) 0.338 (7.59) 0.21 6 (5.62) 0.020 (0.32) 3-year govt. bond 0.041 (4.63) 0.263 (7.43) 0.185 (5.11) -0.001 (-0.02) 7-year govt. bond 0.027 (3.42) 0.1 88 (6.60) 0.1 85 (5.94) -0.002 (-0.03) 30-year govt. bond 0.01 6 (2.95) 0.115 (4.48) 0.1 50 (4.86) ( -0.27) 9-month forward r a t e 3-mon t h a head 0.072 (4.80) 0.329 (7.35) 0.225 (5.43) 0.020 (0.27) 2-year forward r a t e 1-year ahead 0.01 8 (1.69) 0.21 9 (6.48) 0.1 67 (4.41 ) -0.01 4 (-0.19) 4-year forward r a t e 3-years ahead 0.01 6 (1.49) 0.101 (3.90) 0.185 (5.86) ( -0.04) 23-year forward r a t e 7-year ahead 0.007 (0.97) 0.01 3 (0.65) 0.1 08 (3.01 ) -0.036 (-0.59) Do1 1ar/mark spot exchange r a t e 0.1 05 (1.08) -0.438 (-3.82) -0.607 (-3.19) 0.117 (0.30) Do1 1ar/mark 3-month forward exchange r a t e 0.134 (1.35) -0.343 (-3.12) -0.556 (-2.95) 0.131 (0.33) Do1 1ar/mark 1 2-month forward exchange r a t e 0.369 (2.44) -0.221 (- 2.08) -0.476 (-2.61 ) 0.1 82 (0.45) Dependent v a r i a b l e a CRR Borrowed reserves -0.01 6 -0.003 a Indicates s i g n i f i c a n t f i rst- order autocorrel ation. These parameters were estimated using a Cochrane-Orcutt procedure. The t - s t a t i s t i c s a r e shown i n parentheses. http://clevelandfed.org/research/workpaper/index.cfm Best available copy Table 3 - 31 Impact of Expected Money Stock Changes on Asset Prices ( a 2 ) Operating t a r g e t Dependent vari abl e LRR Nonborrowed reserves Federal funds CRR a Borrowed reserves Borrowed reserves -0.033 (-0.47) -0.324 (-2.36) Federal funds r a t e -0.021 (-0.81 ) -0.167 (-1.03) 3-month Treasury -0.045 (-1.61 ) -0.31 0 (-3.28) -0.050 (-1 -41 ) -0.085 (-1.85) 1 ?-month Treasury -0.037 (2.03) -0.231 (-3.03) -0.079 (-1.90) -0.094 (- 1.34) 3-year govt. bond -0.030 (2.95) -0.140 (-2.30) -0.083 (-2.12) -0.069 (-0.94) 7-year govt. bond -0.015 (- 1.58) -0.136 (-2.81) -0.093 (-2.76) -0.068 (-.92) 30-year govt. bond -0.01 3 (-1.90) -0.167 (-3.79) -0.067 (-2.00) -0.100 (-1.49) 9-month forward r a t e 3-month ahead -0.035 - 1.91 -0.204 (-2.66) -0.089 (-1.98) -0.097 (-1 .I61 2-year forward r a t e 1- year ahead -0.01 9 (-1.47) -0.085 (-1.47) -0.085 (-2.08) -0.084 (-0.66) 4-year forward r a t e 3-years ahead -0.009 (-0.66) -0.133 (-2.98) -0.105 (-3.06) -0.066 (-0.80) 23-year forward r a t e 7-years ahead -0.01 1 (-1.29) -0.207 (-4.19) -0.035 (-0.90) -0.146 (-2.12) Do1 1ar/mark s p o t exchange r a t e -0.068 (-0.58) 0.522 (2.66) -0.606 (-3.19) 0.01 0 (0.02) Do1 1ar/mark 3-month forward exchange r a t e -0.05 (-0.42) 0.462 (2.45) -0.102 (0.79) 0.01 1 (0.03) Do1 1ar/mark 12-month forward exchange r a t e -0.075 (-0.41 ) 0.429 (2.36) 0.1 53 (0.77) 0.047 (0.11 a - - - a. See fn a , t a b l e 2. a http://clevelandfed.org/research/workpaper/index.cfm Best available copy the beginning of the sample period until October 6, 1979; the nonborrowed reserve operating procedure from October 6, 1979, until October 5, 1982; and the current borrowed reserve operating procedure t h a t was adopted i n October 1982. There are two reserve accounting regimes: lagged reserve requirements before February 2, 1984, and contemporaneous reserve requirements afterward. September 1977 t o October 1979 The r e s u l t s from the pre-October 1979 period provide support f o r the hypothesis that the money stock announcement during t h i s period contained information about future inflation. The estimate of al was positive and significant a t a 5 percent c r i t i c a l level for a l l of the domestic i n t e r e s t rates except the federal funds rate. funds rate was expected. The lack of response of the federal The market anticipated t h a t the Federal Reserve would accommodate the unexpected s h i f t s in the demand f o r reserves; consequently, the cost of obtaining reserves the remaining days of the settlement week was expected t o remain relatively unchanged. All of the imp1 ied forward rates responded positively to the money stock surprises, b u t only in the case of the three-month ahead, nine-month r a t e was the response significantly different from zero a t the 5 percent level. By themselves the interest- rate results are consistent with almost any of the alternative hypotheses. Following the suggestion of Engel and Frankel, we look a t the reaction i n the spot dollar/mark exchange market. A1 though the do1 1a r depreciated f o l l owing a positive money stock surprise, the response in the spot market was not s t a t i s t i c a l l y significant. The dollar also depreciated in the three- and twelve-month forward exchange markets following a positive surprise i n the money stocl: announcement. The response of the twelve-month forward exchange r a t e i s s t a t i s t i c a l l y significant a t the 5 http://clevelandfed.org/research/workpaper/index.cfm Best available copy percent level. These findings provide support f o r the inflation premium hypothesis over the policy anticipation hypothesis and f o r our assumption t h a t the pre-October 1979 period can be characterized as an inflationary monetary pol icy regime. October 1979 t o October 1982 During the period of the nonborrowed reserve operating procedure, the reactions of a l l domestic i n t e r e s t rates were much greater than before. In the e a r l i e r period, a 1 percent positive surprise i n the money stock led t o a 7-basis-point increase i n the three-month Treasury b i l l r a t e and a 1.5basis-point increase i n the thirty- year Treasury bond rate. In the period of nonborrowed reserve targeting, the reactions of these rates were considerably stronger, 36 and 11.5 basis points, respectively. Furthermore, the response of the federal funds rate to money stock surprises was stronger and s t a t i s t i c a l l y significant a t the 5 percent level. Participants i n the reserve market understood that a positive surprise i n the aggregate demand f o r reserves w i t h i n the settlement week would lead to a higher cost of borrowing reserves for the remainder of the settlement week. There was also a dramatic change in the response i n exchange markets. The spot and forward dollar exchange rates appreciated sharply against the mark following a positive money stock announcement. the e a r l i e r period. This was a sharp reversal from Engel and Frankel attributed t h i s reversal in the spot market t o a change in the real i n t e r e s t r a t e caused by expected liquidity effects. This explanation i s inconsistent with the significant reaction of the forward i n t e r e s t rates several years out and the twelve-month ahead forward exchange rates. Furthermore, i t does not explain the significant depreciation of the forward exchange rate i n the e a r l i e r period. http://clevelandfed.org/research/workpaper/index.cfm Best available copy Me a t t r i b u t e the appreciation of the d o l l a r and the strong upward reaction of i n t e r e s t rates subsequent to a positive money stock surprise during t h i s period t o the policy regime change. Money stock announcements provided the market with information about persistent money demand shocks t h a t the Federal Reserve was not expected to acco~mnodatefully. Following a positive money stock surprise, the market revised upward i t s assessment of current and future real i n t e r e s t rates, leading t o an appreciation of the spot and forward values of the do1 l a r . October 1982 t o February 1984 The next period i s interesting, because i t allows us to t e s t whether the change in the operating procedure can be viewed as a change i n the policy regime. After October 1982, the Federal Reserve began t o target borrowed reserves. Since this i s an interest- rate smoothing procedure, the federal funds r a t e was not expected to respond t o the announcements. The response of the federal funds r a t e during t h i s period was s t a t i s t i c a l l y insignificant. The pattern of responses of i n t e r e s t r a t e s and exchange rates i s similar t o the one ohserved in the period of nonborrowed reserve targeting. The longest-term i n t e r e s t rates and the forward exchange rates react more strongly in this period than they d i d during the nonborrowed reserve operating procedure. This suggests to us that the strong response of asset prices, other than the federal funds rate, resulted from disinflation policy and not from the change in operating procedures. The dramatic difference between the pattern of responses under borrowed reserve targeting procedures and under the interest- rate targeting procedures suggests t h a t the operating procedure d i d not determine the policy regime for t h i s sample period. http://clevelandfed.org/research/workpaper/index.cfm Best available copy February 1984 t o September 1984 As predicted, t h e money supply announcements appear t o be i r r e l e v a n t . Estimates o f al a r e n o t s t a t i s t i c a l l y s i g n i f i c a n t f o r any o f t h e assets we examined. T h i s " surprise 1 ' we measure i n c l u d e s i n f o r m a t i o n t h a t has been revealed i n the c l e a r i n g o f t h e reserve market b e f o r e t i l e rrioney stock i s announced. Furthermore, each i n d i v i d u a l p a r t i c i pant now h r i ngs b e t t e r ( 1ocal ) i n f o r m a t i o n t o t h e reserve market c l e a r i n g . upgrade t h e i r own deposi t-moni t o r i ng systems. Under CRR, banks have had t o Banks and information- service companies such as Money Market Services have developed more s c i e n t i f i c i n f o r m a t i o n - p o o l i n g systems t o r e p l i c a t e t h e Federal Reserve's procedure f o r c o n s t r u c t i n g t h e f i rst-pub1 ished M I data. The R a t i o n a l i t y o f t h e Survey Forecasts The estimates o f ap are shown i n t a b l e 3. According t o t h e e f f i c i e n t market hypothesis, t h i s c o e f f i c i e n t should be zero. However, we f i n d t h a t t h e c o e f f i c i e n t i s s i g n i f i c a n t l y l e s s than zero i n many cases across a l l regimes. We suggest t h a t the negative s i g n r e s u l t s because t h e survey i s an i n e f f i c i e n t f o r e c a s t o f t h e expected change i n F11. The agents p a r t i c i p a t i ' n g i n t h e survey a r e o n l y a subset o f those p a r t i c i p a t i n g i n t h e market. The median survey o f t h e i r opinions i s l e s s e f f i c i e n t than t h e market o p i n i o n embedded i n t h e i n t e r e s t r a t e j u s t p r i o r t o t h e announcement. This market o p i n i o n i s a trade- weighted o p i n i o n o f a l l t h e p a r t i c i p a n t s i n t h e market. Since t h i s i n t e r e s t r a t e e n t e r s t h e dependent v a r i a b l e w i t h a n e g a t i v e sign, we g e t a negative s i g n f o r a*. http://clevelandfed.org/research/workpaper/index.cfm Best available copy Concl usion Our main objective i n t h i s paper i s t o explain the changing patterns of response by asset prices t o money stock announcements during several subperiods between 1977 and the present. Previous work i n t h i s area has not distinguished between policy regimes and operating procedures. Furthermore, we can now include evidence from a new operating procedure and new reserve accounting rules. market. We also include information from the forward exchange By taking account of forward exchange rates and the i n s t i t u t i o n a l , procedural, and policy changes, we are able t o resolve ambiguities t h a t remain i n published work. F i r s t , we show that the pattern of response of the federal funds r a t e to money stock surprises during d i f f e r e n t subperiods over the l a s t seven years depends on the Federal Reserve's operating procedure and the reserve accounting rules. Second, we show t h a t a change i n the operating procedure does not necessarily imply a change i n the monetary policy regime. In t h i s context, we show t h a t the positive response of asset prices t o money stock surprises i n the pre-October 1979 period resulted from an inflation premium. In contrast, the response of a s s e t prices to money stock surprises i n the post-October 1979 period resulted from a change i n the expected real i n t e r e s t rate. http://clevelandfed.org/research/workpaper/index.cfm Best available copy Appendix A Data Sources MI - M1 i s t h e f i g u r e f i r s t published by t h e Federal Reserve i n t h e H.6 press release. The expected change i n M I i s c a l c u l a t e d u s i n g t h e median o f a survey taken by Money Market Services. of d o l l a r s . The expected changes (MMSP) a r e i n b i l l i o n s The expected change i n M I (EM i n t h e t e x t ) i s c a l c u l a t e d as: + MMSPt) EMt = l o g (M1t-l - l o g (Mlt-l), where t r e f e r s t o t h e week o f t h e announcement r a t h e r t h a n t h e statement week f o r which M I was c a l c u l a t e d . The s u r p r i s e i n M I (UM i n t h e t e x t ) i s c a l c u l a t e d as: UMt = 1og (MI t ) - 109 (MI t-l + I*IMSPt). We have used f i r s t - p u b l i s h e d numbers r a t h e r than r e v i s e d numbers i n making these c a l c u l a t i o n s . change. This amounts t o t r e a t i n g t h e r e v i s i o n as an unexpected Roley ( 1 982) shows r e s u l t s t h a t are i n v a r i a n t t o t h e use o f f i r s t - p u b 1 i shed o r r e v i s e d data. He concludes t h a t t h e r e v i s i o n s should n o t be t r e a t e d as unexpected changes i n M I . December 1979 period. However, he excluded t h e October t o Mhen t h i s p e r i o d i s included, we f i n d t h a t t h e r e v i s i o n s have the same e f f e c t on asset p r i c e s as t h e unexpected changes i n M I . We used t h e M I s e r i e s t h a t was published i n t h e H.6 release. d e f i n i t i o n o f M I changed, our measure changed. When t h e Overlapping data were used t o s p l i c e t h e s e r i e s i n e a r l y 1980 when t h e Federal Reserve changed t h e d e f i n i t i o n o f M1 t o i n c l u d e o t h e r checkable deposits. I n t e r e s t Rates and Exchange Rates The i n t e r e s t r a t e s and exchange r a t e s come from t h e data banks o f Data Resources Inc. The o r i g i n a l source f o r the i n t e r e s t r a t e s i s t h e H.15 http://clevelandfed.org/research/workpaper/index.cfm Best available copy release. The original source f o r the exchange rates is the Bank of America. Since the H.6 release (Money Announcement) was made on various days throughout the sample period, we collected daily data. A "before-announcementn r a t e was taken as the l a s t available value before the announcement. The 1 ''after-announcement ' r a t e was taken as the f i r s t available value a f t e r the announcement. There i s always a t l e a s t a 24-hour span between the "before" and "after" quote. The major e f f e c t of t h i s procedure i s to reduce the R 2 i n the estimate of equation 1 i n the text. There i s no reason why the parameters of equation 1 should be biased unless there are other factors t h a t are correlated w i t h the surprise i n the money stock announcement. Details f o r each of the a s s e t prices are l i s t e d below: Federal funds rate. The effective federal funds r a t e i s a trade-weighted average f o r the day. The three- and twelve-month Treasury b i l l yields are Treasury b i l l s . based on the bid quotes a t the close of the New York market (4:00 pm EST). Treasury coupons. The three-, seven-, and thirty- year yields are based on the b i d quotes a t the close of the New York market. We have used yields calculated a t "constant maturity" from the Treasury's daily yield curve. Implied forward rates. These rates are calculated using the following formula from Shil l e r , Campbell, and Schoenhol t z (1983): where f k n y m )= 1inearized approximation to the n period ahead m period forward rate, http://clevelandfed.org/research/workpaper/index.cfm Best available copy R t i ) = y i e l d on an i-period bond a t time t, and = duration of bonds maturing in m+n periods. Di i s calculated from the following formula: i Di = (1-g ) / ( I - g ) ; o < i , where g = 1 / ( l + E ) , and -R = mean R f o r each sub-sample period between September 1977 and September 1384. 3/4) forward r a t e i s calculated d i r e c t l y from the Of course, the f formula f o r the implied forward r a t e as there are no coupons on Treasury b i l l s. The values f o r and Di a r e given in Table Al. Table A1 Assumed values f o r Maturity - Sept 1977 - Oct 1979 3 year 7 year 30 year Oct1982-Feb1984 3year 7 year 30 year - 3 year 7 year 30 year Feb 1984 Sept 1984 Do1 1ar/mark exchange r a t e s . -R Di 3 year 7 year 30 year Oct 1982 Oct 1979 and Di The foreign currency exchange r a t e s a r e expressed as bids reflecting opening prices in the New York markets. Rates are quotes in U.S. terms (do1l a r s per deutschemark). The dependent variable in the t e x t i s the f i r s t difference of the logarithm. http://clevelandfed.org/research/workpaper/index.cfm Best available copy Footnotes 1 . See, f o r example, Cornel 1 (1 983b), Engel and Frankel ( 1 984), Hardouvel i s (1 984), Loeys (1 984), Rol ey (1 983), Shi 11er, Campbell , and Schoenhol t z (1983), U r i c h and Wachtel (1981 1, and U r i c h (1982). 2. Hoehn ( 1984) presents a t r a d i t i o n a l macroeconomic model w i tli I r a t i o n a l e x p e c t a t i o n s and a h i g h l y d e t a i l e d lnonetary sector. He shows t h a t t h e reduced- form equations f o r t h e p r i c e l e v e l , output, and t h e i n t e r e s t r a t e change when t h e o p e r a t i n g procedures change. 3. See Engel and Frankel (1 984). 4. Cornel 1 ( 1 983b) suggests a r i sk-premi um hypothesis. We have n o t in c l uded i t because he d i d n o t f i n d evidence t o support it. Furthermore, Makin (1983) shows t h a t t h e t h e o r e t i c a l e f f e c t o f p o l i c y u n c e r t a i n t y on asset p r i c e s i s ambiguous. I n h i s e m p i r i c a l work he f i n d s a s i g n opposite t o t h a t p r e d i c t e d by C o r n e l l . 5. See Brayton, F a r r , and P o r t e r (1983) f o r an econometric study o f t h i s issue. 6. An e x p l i c i t d e r i v a t i o n o f the r e l a t i o n s h i p between the r e a l i n t e r e s t r a t e and t h e Mundell-Tobin wealth e f f e c t i s provided i n Makin (1983). 7. See f n 5. 8. See Stevens (1 981 ) f o r a d e t a i l e d d e s c r i p t i o n o f p o l i c y d u r i n g t h e f i r s t two y e a r s o f the nonborrowed r e s e r v e t a r g e t i n g procedure. 9. Goodfriend (1983) uses a micro- based model t o show t h a t the borrowing r e l a t i o n i s non- linear. He shows t h a t i t i s a f u n c t i o n o f p a s t and expected f u t u r e borrowing, which depends on t h e expected f u t u r e f e d e r a l funds r a t e . 10. See appendix A f o r a d e t a i l e d d e s c r i p t i o n o f data. The m a t u r i t i e s used i n t h i s study were chosen because S h i l l e r , Campbell, and Shoenhol t z (1 983) and Loeys (1984) have found t h a t t h e r e tends t o be a s i m i l a r response among s e c u r i t i e s w i t h m a t u r i t i e s between one and t h r e e years, between t h r e e and seven years, and again w i t h m a t u r i t i e s over seven years. 11. While t h e e m p i r i c a l evidence presented be1ow lends credence t o t h i s assumpti on, there i s supporting evidence. Bagshaw and Gavin ( 1984) show t h a t a f t e r 1979 t h e Federal Reserve d e v i a t e d from i t s M1 t a r g e t o n l y d u r i n g periods when t h e r e was an o f f s e t t i n g s h i f t i n v e l o c i t y . T h i s was a marked change from t h e 1976 t o 1979 p e r i o d d u r i n g which M I grew above t a r g e t , r e i n f o r c i n g t h e i n f l a t i o n a r y e f f e c t s o f unexpected increases i n v e l o c i t y growth. 12. See Roley (1983) f o r e m p i r i c a l support o f t h i s hypothesis. http://clevelandfed.org/research/workpaper/index.cfm Best available copy References Bagshaw, Michael L . , and William T. Gavin. S e r i e s Approach, " Worki ng Paper 8405. November 1 984. "Velocity: A Multivariate TimeFederal Reserve Bank of Cl eve1 and, Brayton, Fl i n t , Terry Farr, and Richard Porter. "A1 t e r n a t i v e Money Demand Specifications and Recent Growth i n MI , " Manuscript. Board of Governors of t h e Federal Reserve System, May 23, 1983. Cornell, Bradford. "Money Supply Announcements, I n t e r e s t Rates, and Foreign Exchange," Journal of International Money and Finance, vol . 1 (August 1982), pp. 201-08. Cornell, Bradford. 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S h i l l e r , Robert J., John Y. Campbell, Kermft L. Schoenhol t z . "Forward Rates and F u t u r e Pol i c y : I n t e r p r e t i n g t h e Tern S t r u c t u r e of I n t e r e s t Rates," Brookings Papers on Economic A c t i v i t y , ( 1 :1983), pp. 173-21 7. Stevens, E.J. "The New Procedure," Economic Review, Federal Reserve Bank o f Cleveland, Summer 1981, pp. 1-1 7. Tobi n, James. "Money and Economic Growth, 1965), pp. 671 -84. " Econometrica, v o l . 33 (October Urich, Thomas J. "The I n f o r m a t i o n Content o f Weekly Money Supply Announcements ," Journal of Monetary Economics, v o l 10 ( J u l y 1982), pp. 73-88. . . "Market Response t o t h e Weekly Money Urich, Thomas J., and Paul Wachtel Supply Announcements i n t h e l 9 7 0 s Y M Journal o f Finance, v o l 36 (December 1981 ) , pp. 1063-72. . http://clevelandfed.org/research/workpaper/index.cfm Best available copy Urich, Thomas J . , and Paul Wachtel. 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