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Tilburg University

Two essays on political economy

van der Ploeg, F.

Publication date:

1990

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Citation for published version (APA):

van der Ploeg, F. (1990). Two essays on political economy: (I) The political economy of overvaluation (II)

Election outcomes and the stockmarket. (Reprint Series). CentER for Economic Research.

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8823 ~omic Research

1990

22

IIIIIJIII~IIIIIIIIINtlIIIIIIIIIIIIIIIIIIIUn

Two Essays on Political Economy:

(I) The Political Economy of Overvaluation

(II) Election Outcomes and the

Stockmarket

by

Frederick van der Ploeg

Reprinted from (I) The Economic Journal,

Vol. 99, No. 397, 1989; (II) European Journal

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CENTER FOR ECONOMIC RESEARCH Research Staff

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5

for

Economic Research

Two Essays on Political Economy:

(I) The Political Economy of Overvaluation

(II) Election Outcomes and the

Stockmarket

by

Frederick van der Ploeg

Reprinted from (I) The Economic Journal,

Vol. 99, No. 397, 1989; (II) European Journal

of Political Economy, Vol. 5, No. 1, 1989

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T'hi F.rnrmm,r Journa(, ~ LCiD(rmhn rqfSgl, a5~~H55 I'nnl~J rn (:va! Itnlnm

'l~lll; t'Ot.t'I~IC,.~L ECONOI`tY Of' OVF,RVALUA'I'ION' Frederirk van der Plurg

i`fus~ uf thc litcraturc on political busincss cyclcs (c.l;. Nurdhaus, ry7~; ~Iac Rac, i(~77; v:tn dcr Plocg, ty8.}) assumCti that thc incumbcnt political I,ari} attcn,pts tu sccwc rc-clcctiun, by rnaximising thc cxpcctcd numbcr of ~utcs cast in its Gn~uur at the I~,rlhcoming election, and to expluit lags due to adaptive expectations. "I~he government can then fi~ol the electorate by jueliciuusly depressing output in the early part of its terrn in ofTice, in order tu li,rcc du~.n the cxpcctcd ratc of in(lation, and to crcate a boum, without tuo n,any advcrse inflationary consequences, towards election eve in order to gain thc s}~mpathy of thc clcctoratc. Such political busincss cyclcs rcly un a naivc rlecturate and cannot occur in New Classical economies with market clearing and r.itiunal expectatiuns, because then the electorate would see through the guvcriuncnt's vote-maximising strategy (e.g. McCallum, ry78; Minford and I'eel, iy8.z). [f the private sector has rational expectations and prices or wages are sticky, this is observationally equivalent to adaptive expectations and (Icxiblc prices and wages (e.g. Sargent, ry76) but ncvcrthclcss the clcctoratc wuuld scc through a vote-maximising stratcgy and thus no political busincss cycle would occur.

ln any case, it is nut clcar that the empirical evidence supports this vicw of the political business cycle (e.g. Frey, t978). One reason for this is that it may not hc rralistic to assume that output can be changed instantaneously whilst inflatiun can, through expectations, oniy be iniiuenced in a gradual fachinn. In an open economy it is much easier and faster to affect real income and cunsumers' prices through the exchange rate than it is to have an e(Tect on a~;gregate demand, output and employmenL An appreciation of the exchange rate immediately cuts import prices and consumers' prices and therelore immediatcly boosts real income. Thís, combined with the reduction in the rcal valuc of irnports, dcpresses aggregate dcmand, but ovcr time standard ncorlassical substitution efTects ensure that the volume of exports decrcases, the vulume of imporls decreases and therefore aggregate demand and output increase. 'I'he above argument is based on the J-curve effect in the balance of trade, for which there is ample empirical evidence (e.g. Diaz-Alejandro, rgGG; Ala~ec, tJ73). 'fhis note explores the implications of the f-curve efTect for lhe pulitical business cycle in a small open economy, as suggested by van der Ploeg (,~~I4.}) and Uornbusch (ry87, Scction tv). Scction I scts up thc modcl of thc ccunumy. Seciiun I I dcrives the development of the exchange rate, real inconre and uutput over the course of the political business cycle. Section I I I coucludes ~~ itli an intcrprctatiun and qualificatiun of lhe resulls.

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~'SEPT. IOi}OIPOLITICAL ECONOMY OF OVEttVALUA'I'ION

1. A MuUF:L UF A SMALL UPEN ECONOMY WIT11 A~-CUNVE 11'c will assumc a vcry simple macrocconomic modcl:

y-(Stfr~(fi-~y-i'e)-fe(p~`-~e-p),BJar~~-ji1 jtlu,ryC t (I) ~ - ~(p'-fe-p-c), ~ ~ u (1)

pr - (I -a) pfa(p'-Fe),o e a e I (3)

p-~-w Í4)

whcre y, c, p, p', e, pe, and u~ denote real output, a competitivcncss indcx, the hume price Icvcl, the forrign price Ievel, the nominal exchange rate (the pricc uf une unit of foreign exchange), the consumers' price index ancl the numinal wagr, respectivcly. All Variables are expressed as logarithmic deviations Gum thcir equilibrium valucs. "I'here is imperfect substitutiun between hume and forcign goods. Each country is wholly specialiscd in the production of its expurtable. There is nominal wage rigidity, so that employment and output are cletennincd by aggregate demand. Equation (1) gives aggregate demand as an increasing fwrctiun of competitiveness and real income and a decreasing functiun of thc real exchange rate. In the short run an appreciation Of the real exchanSc rate increases real income, reduces the value of imports, and theretixe incrcasrs aggregate demand. Equation (2) gives the~-curve and shuws that thc vulume uf net cxports falls gradually after an appreciation of thc rcal cxchauge rate. It is assumed that an appreciatiun of the rcal exchange rate rcducrs lung-run aggcgate demand, so that something stronger than the I~farshall-Lerner cundition (8 ~~i) is assumed (8 ~ a~t~). For simplicity, it is assumcd that aggregate dcmand does not depend on the real interest rate.f Equation (g) gives an expression for the consumers' price index as a weighted average uf home and foreign prices, which holds exactly for Cobb-llouglas preferrnces. Equation (4) shows that prices are a constant mark-up on wages and that therc is nominal wage rigidity. For simplicity, we assume that w- p'. 'llfe rcduced form then bccurnes:

y-Sc-~ie,8-a~(t-rl) ~fe- (arlffi)~(1-r~) ~o c - r[i(e-c),c(o) - co.

(5) (b) 7~he exchangr rate, e, will be treated as an intermediate policy instrument, whicó is ultimatcly dclcrmincd by monctary and fiscal policy.

I1. TIIE POLITICAL BUSINESS CVCLE

It is assumed that the incurnbent political party chouses its cxchan~;c rate pulicy tu nfaximise vutes on election eve. When popularity is an incrcasin};

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i~j'2 THE ECONOMIC j OURNAL [SEPTEMBER

funrtiun uf thc uutcomcs uf output (or cmploymcnt) and thc rcal conswncrs' ~~.r~c ~~crr thc clcctiun cyclc, thc prublcm of the govcrnrncnt is:

`Iax

J

T{yls)-i(Í[w(s)-p~(s)-~JZ)cxp(P.r)ds, p,Ó,c~1o

0 (7)

~~lrc~rc ll,c,,,p and T dcnote thc rclativc wcight the incumbent govcrnment

.rttaches to real incorne vis-à ois real activity, the desired level uf real income, tlrc r:uc uf rncniury luss of the clectorate and the Iength of an clection period, respcctively. 'I~he parameter p is a backward-looking ( rathcr than a forward-luukins;) ratc ufdiscount and corresponds to the rate at which past performance is firr~i~ttcn. It is assumcd that pc r~i. ' I~hc rcduccd-form dccision problcm of

lhc incunibcnt political party is:

('T

A4ax

J

{c5r.(s) -~ee(s) - 2~[e(s) -i]Y} exp ( ps) ds, 0- OaZ ~ o, (8)

r o

subjcct to ( 6), whcre é- - r,~~a G o denotes the desired value of the nominal

cxchange rate.

"I'he first-order conditions for the government are:

aH~ac - - lc-B(c-i) f:[ix - o (9)

z - -px-(aH~dc) - ( S(r-p)z-8,x(T) - o (to)

and (6), where the Hamiltonian is defined as H- dc-lu--0(e-i)'fxl(r(e-c) ancl x dcnotes the shadowprice associated with competitiveness. When we solve

(q) for x and substitute the result into ( to), one obtains

~- [(~-P)~~][fcf~(c-i)]-(a~~e),c(T) -i-(filt7). (rt)

Backward intcgration of (tt) yields

e(t)-i-(fc~~)f[a'G~(1G-P)9]{t-exP[(~-P)(l-T)]}. (t~)

Upon substitution of (t2) into ( 6) and forward integration, one obtains

c(t) - co cxp ( - r~it) ~- {i- (fi~~) } [a~~(~-P) ~]} [t -exp ( -1~t)]

[~Z~~(21G-P)(1~-P)B]eXP[(1~-P)(t-T)]{t-exP[-(21U-P)T)}- (t3) The political business cycle settles down to an equilibrium cycle, because the

stahilitv condition is satisfted:

o G c7c[(kf t)T]~àc(kT) - exp(-r~rT) G t,k - o, t,s,... (t4)

1'he equilibrium ( or stationary) political business cycle satisfies

co - c(T) - i-(N-~P)f[a~~(1G-P)p] (t -[~~(11G-P)]

{t-exP[-(2~-P)T)}[t-cxP(-'I`T)]-r) (t5)

so th:rt ( t 3) bccomcs

r(t) - é- (I~~O) f LatGI (~-P)P) ( t-[~I (2~-P)]

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1~~f3O] POLITICAL ECONOMY OF OVERVALIJATION II53 (,.nr„n. ~. . ...:... ...:... (aóyl0( 1~1 a~~~ r IhlQ~qwl. v C'um~ni~mn~. ~ L.~n.o`~ r.r. . whcre 0 ... ~...:... T' ...:... 7 T~T' 0

~-[~-(óy )1le

y-P

AT) ~ i-Wltn

7T

Fig. (. 1'olitical businea cycle in a small olxn economy.

oc I'-{t-exp[-(~-P)T]]I[t-exP(-~T)] ~ 1. Substitution of (ts) and (t3') into (5 ) gives

9(1) - (a-f~) [~- ( f'~~) f a4~~(2i~-P) ~]

fN[arG~(4~-P) P] eXP [(i~-P) (l- T)J

-[~1~Z~(iL-P) (2~-P)P]{C'exp(-I(il)fexP[(4~-P) (l-T)]}. (tG)

Finally, in(lation in the consumers' price index is given by

h~([) - ai(t) - -(aa~~~) eXP [(1~-P) (t- T)] 5 0. (17)

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T}{E ECONOMIC fOURNAL ~SEF'TEMBER

..-urscns.' Sincc in the early part of the election pcriod (o e l G 7") ctm,l,ctiti.cncss impruves and the exchange rate appreciates, it is clear that buth thc .~uluntc uf nct cxpurts and thc valuc of nct cxports incrcase as well :rs rral incuntc iucrcascs. }Icnce, in thc carly part of thc clcction pcríod output :tncl cmplu~ mcnt incrcasc. In fact, output continucs to int rcasc for at Icast part uf thc~ timc uf thc sccuncl part of the clcction pcriud (as y(T') --~~P(7") 1 0). l t,..:trcls clcctiun c.c uulput can dccrcasc (scc (a)) or incrcasc (sce (h)), which clt~pt ncls c,n

~i('~-! - ~i,sy~,~n)-(tr~~G~l(~~G-n)n]{t-[~f'~(~G-n)leXp(-~GT)} (t~)

Ix~ins; nc~;ati~c ur positive, respcctivcly. Ilence, output is more likcly tu elc~c rcase al~tcr a graclual increase (case (a)) when the election period is long, wlicn thc ratc af mcmory loss is high and when thc impact clTect of the exchangc rate un output, fe, is small and of competitiveness on output, d, is larl;e. Since the exchange rate depreciates on election morning, real income, nct exports and there(~rre output fall at that time (y(o) e y( T)). [nflation in the cunsumcrs' pricc indcx gradually falls ovcr thc clcction period and on clcction

ntcnning in(latiun jumps upwards.

II1. CONCLUDING REMARKS

"1'he incumbent political party chooses its exchange rate policy to secure re-clcctiun, i.e. to maximise votes at the forthcoming election.' Popularity at the polls depends on the government's track record on achieving high Ievels of output and real consumers' wages. An appreciation of the exchange rate immediately cuts inflation, raises the value in domestic prices of net exports and thcrefore boosts real income and aggregate demand, but it takes time for the ncoclassical substitution effects to build up and therefore in the long run nci exports deleriorate and output falls. The consequences of this f-curve effect in the balance of trade for the political business cycle are as follows. Immediately upon cntering ofTice a government depreciates the exchange rate, which can be vicwcd as an `investment' in improving competitiveness, and subsequently it Gradually appreciates the exchange rate. A policy of real appreciation towards elcction eve is very sensible from a political point of view, because it quickly cuts in(lation, boosts real income and therefore increases votes, whilst the undesirable e(Tects on net exports, output and employment are typically felt aftcr the election. Dornbusch (tg87) already suggested that a policy of overvaluation of the exchange rate is one of the best tricks in the bag and that

r'fhc turn-over orcun halfway through the dection period when there is no memory lou ( T' s T for p- o). When there is memory loss, il occun Itss than halfway through tht dection pcriod (T' e~T for p 1 0).

' 1Vhen Rovcrnmcnts are Icss myopic, they maximise tht uninterrupled length in office (Frty and Ramser, ,q86~. 1Vhrn tht dectorate ha no memory, this leads to a social wdfart optimum with the dixount rate equal tn ,ht probability of not bcing rrdected. A government sure of rrtlettion dtxs not value tht currcnt clcrliun morr Ihan futurc elections and thus punuts a goldrn rult of indiRrrence betwern generatiom (p

-n, r(t~-~t(d-p)~B). AlthouRh such far-siRhled txhaviour may be rcalistic fitt the Swiss systcm of

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I J~3)~ POLITICAL ECONOMY OF OVERVALUATION

it gasc short-tcrm pulitical support li)r Yinochet in Chilc, 111artincz dc Hoz in :~rr;rnlina, ~I~hatchcr in thc Unitcd 1{ingdom and Kea~an in thc ~fnitcd Statcs. In cunu~ast to prcviuus vicws of the political busincss cyclc, it is pussihlc (ur output tu (itll just bcfore elcction eve. ~I~Ire magniludc of this pc)litiral l,usinc~ti r~~cle (dy'i~(yr-p)(1), i.e. the extent to which the government is prepared tu ovcrvaluc tltc cxchangc ratc, incrcascs whcn thc rclativc wci};ht thc clcctcu-:ttc attaches tu the rr.rl consurners' wage uis-à-ois output (0) is small, when the clectorate's r:rte uf mcmory loss (p) is h;gh, when the advcrse eHi~cts uf overvalualion on net cxports and aggregate demand take longer to comc throus;h (i.e. 1(i is small), and when theJ-curve e(i~ect (d) is large. In Ihe extrenfc case when there is complete memory loss (p-~ oo) or noJ-curve ellèct (yi - o), the political business cycle disappears. However, the empiriarl eviclence suggests that political business cycles based on overvaluation of the exchangc rate as election eve approaches are an important feature of 1Nestern dcmocracies.

~~n appreciation of the real exchange rate improves Ihe current account in the shurt run, as the increase in real income Ieads to an incrcase in savings out uf a given Icvcl of producers' income (the Harberger-Laurscn- Metzler e(Tcct), and deteriorates the current account in the long run, as the volume of net exports responds to the real exchange rate. Hence, if the electorate also cares al~uut tlte current account (or the increase in the nation's net wealth), thc ~;ovcnfinent has an added incentive to overvalue the exchange rate towards clcction cvc.

"I'i[hur,l; Unir~ersily

Un[e of receipl affina! typescripl: February rgflg

REFERENCES

Uiaz-Akjandru, C. ( tyóó). Errhangr Rau Drvu(uahon in u Srmi-Indu,díalurd Counlry: Tlu E.panrnrr ojArgrntina

,~j,i-nfir. Crmhridgc, Massachuuns: MI"1~ Prcss.

Uurubusrh, R. ( rgH7). 'Exchange rate econumio: tg86', ECONOWC JOURNAL, vol. y7, pp. r-rg. Frcy, B. S. ( r978). ,Ilodrm Po(itiraf Eronorny. Oxfurd: Manin Rolxrtwn.

---- and Rarns~r, H. J. ( t97G). "1'he political business cycle A comrnent', Rruíno of Eronomir Smd,rs, vol. 43. PP. 553 5~

flarlxrgcr, A. C. (ig5u). 'Currency depreciation, income and the balance of trade', Journaf of Po(inra!

Eronomy, vuL 58, nu. t, PP~

47~-LrurSr'n, S. rnd MrtZlrr, L. A. ( r95o). ' Flexible exchange rate~ and the duory of employmcut', Hrriew oJ

Eronomin and .Smh,lers, vul. 3a, Pp. zBt-gg.

M1farftae, D. I ryJ7). 'A Ix,litical mudel of the buainess cycle', JoarnaloJPoGrtral6ronunry,vul. Bg, pp. agg-63. Afegrc, S. I'. (ry7g). 'Currcncy contracu, pass thruugh and devaluatiun', HrooArngs Napos on Eronomir

Irhrr(y, vul. ,, PP. 3og -zg.

(.IcC.Jlum, B. T. ( ry7ó). 'l~he pulitical busincss cycle An unpirical te~t', Sorthrrn Eronomir Jounra(, vul. 44, p{, 5u5 r 5.

~linli,rd, 1'. nnd Perl, 1). ( ryHs). '~1-he pulitical thtury uf the business cyt'le', Europran Erorsomrr Nrurru~, vul. r7~ PP '~53

7~~-N„rdhru., 1Y U. ~ry75). '~I'be Ix,litiral business cycle', Rrviru, oJEronomir Sludirs, vul. qt, Pp i1H~ rp,. 19urK, F., san drr ( rr)ff4). 'Guvcrnmcnt idculugy and re-clrctiun clfurts', Oiford Erononur I'aprn, vul ~{li, I,p.

n.j {r.

) ry87). 'OPtimal guvernmenr ~,liry in a small open eronumy WIIII raUUI1rI fxtlPl"IJIIUnS rnll uw r~n.,in rl,', nun ouH umcs ~, Inlnnnnonal í~ronom,r Rnano, vul. a8, uu. z, PP 4~J 9r

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liurupcan Journal uf Pnlitical Economy 5(19R9) 21-30. North-Ho11anJ

ELFC'f ION OUTCO~IFS AND THE STOCKMARKET Frcderick van dcr PLOEG'

('rnrLR, lrlhur,c C~nirersirt, SpppLE TilhurR, The Nenc~rlands

A m;rcroeconomic model with sluggish labour markets and elTicienl financial markets is f~,nnulateJ The conseyuences of uncertainty about eleclion outcornes for share prices, interest r;ucs, owput and employmenl in Ihe pre-election period are analysed.

Also, Ihe nature of the jumps in the slockmarket and the real economy on the morning after the elcctiun are analysed. This provides an alternative lo the conventional theory of polilical husinrss cycles and is ahle lo explain large swings in the economy when election 'news' becomes known. It is shown that thc stockmarket crashcs ( booms) when a Labour adminislration is clecteJ into ofLce wilh the promise that it will engage in a fiscal ( monetary) expansion.

1. Introduction

The conventional literature on political business cycles [e.g., Nordhaus (1975); titcRae (1977); van der Ploeg (1984)] rejects the view of a government as a benevolent dictator interested in maximising social welfare. Instead, the incumbcnt politicaÍ party is interested iri ii~ short-rur. surviL'a: and atlempts to secure re-election by maximising the expected number of votes cast in its favour on election eve. Implicit is lhe hypothesis lhat votes on election eve depend on the track-record on economie performance over the last period of governmcnt [e.g., Hibbs (1982); Borooah and van der Ploeg (1983)]. In doing tliis the government attempts to maximise votes by exploiting lags due to a(iaptive expectations. Hence, the government fools the electorate by judi-ciously depressing outpul in the early part of its lerm in oflice, in order to force down the expected rate of inflation, and by engineering a boom, without too many adverse consequences for in0ation, towards election eve and thereby gains the sympathy of the electorate. Such political business cycles rely on a myopic electorate and are not feasible under rational expectalions [MeCallum (1978); Minford and Peel (1982)], because then the elcctorate would see through the government's vote-maximising strategy. Iluwevcr, it is quite possible for governments to exploit other lags in the economy in ordcr to obtain shorl-run political gains. For example, in open

`The author is gratcful to the referees for Iheir conslructive comments.

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" F. uan Jer Plorg, Elecnun outcon~es unJ the stockmarl,rt

ecunumy macruccunomics the 1-curve is a well-established phenomenon. It mcans that an appreciation of the currency Icads to an immediate rcductiun in imporl and consumcrs' prices and therefore to an immediate boost in real income whilst the adverse effccts on the volume of nct exports, aggrcgatc demand and employment only occur after some time. This then givcs thc incumbcnt political party an incentive to appreciate lhe currency, buost real income and gain popularity towards election eve and lumber the next administration with the adverse consequences for net exports and unemploy-ment [Dornbusch (1987); van der Ploeg (1987b)J. However, political business cycles of the type discussed above may disappear when governments are subjected to continuous elections (perhaps, as in the Swiss system of referendums) and are interested in long-run survival and maximise the expected length in office. In that case, there are no cycles and a social welfare optimwn is rcached with the social rate of discount equal to the probability of not being re-elected [Frey and Ramser (1976)].

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F'. ran Jrr Plocg, tl~~rtiun uutcumis and thc storkmarket 23

~f hc uhjcctive uf this paper is to discuss the nature uf such political-ccunumic Iluctuatiuns and, in particular, to analyse the ef(ects of election uutcumrs on thc sluckmarket and the real economy. Section 2 descríbes a r;rtiun:rl cxpcctatiuns modcl with sluggish output and labour markcts and c(licicnt financial markets. The implementation and announcement effects and thc subscyucnt devclopment of the economy caused by a surprise fiscal and munctary cxpansion arc discussed in Section 3. Section 4 discusses the swings in the economy caused by pre-announced expansions and by political unccrtainty. In particular, the conscquences of having a possible future Kcynesian administration, cornmitted to either a fiscal or a monetary cxp;rnsion, installcd at the next election, and the effects of the probability of rc-clcctiun are discussed. Scction 5 concludes the paper.

2. Sluggish labour ntarkets and efficient financial markets

A Kcynesian model of a closed economy with an efficient stockmarket will bc uscd. (t can bc summarised by:

}~-xytf. ar?0

(I)

,n-p-ky--i.-ti, k,:!?o (2)

~- r,~-d~( }~- ~~)-~y, os~~k,t

y''td-i-p"-r

d-1~(}~-y), OSyc l, whcre

}- - logarithm of rcal oulput (dcmand)

i~ - lugarithm of thc full-employmcnt level of real output (-0) ~ fiscal shock

d- dividcnd ratio (ratio of profits to the value of lhe stockmarket) p- logarithm of the price Ievel

x~ - lugarithm uf the nominal wage rale i - numinal intcrest rate

r rcal intcrest ratc

q lugarithm of thc valuc of the stockmarkct nr - lugarithm uf thc nominal supply of money.

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21 F. nan der Ploeg, Etecrion outcomes and rhe srockmarker

Ey. ( I) is a rcduced form of the IS-curve and shows that the dcmand for goods incrcases when the stockmarket booms and when the government engages in a fiscal ezpansion (e.g., increase in government spending or cut in tazes). The stockmarket inlluences aggregate demand through the demand for invcstment goods and through the elTect of wealth on consumption. Eq. (2) is the Lllf-curve for money market equilibrium. The dcmand fur moncy depcnds positively upon real income and ncgalivcly upon the opportunity cost of holding real muney balances (i.e., the nominal interest rate). There is no commercial banking system, so that m corresponds to high-powered rnuney. As far as aggregate supply is concerned, eq. (3) shows that firms set prices as a mark-up on wages and that workers press for higher wagcs whcn tlie reserve army of unemployed is small. Efficient and risk-neutral arbitrage in financial markets ensures that (4) holds, that is arbitrage cuntinues until tlic rcal rcturn on bonds equals the real return on stocks and shares wherc thc lattcr consists of dividends (d) and capital gains (q`). Finally, eq. (5) shows that the ratio of dividends (or profits) to the value of the stockmarket is an increasing function of the ratio of output to the value of the stockmarket. It is derived under the assumption that profits are a proportion of total incumc and y refcrs to the long-run ratio of profits to the valuc uf tlie stockmarket. Stockprices are forward-lookíng variables, which depend upun rational expectations of future events. This can be seen from forward intcgration of (4) and (5) (and imposing the appropriate transversality condition):

q(r)- f [d(s)-r(s)]ds- J(y~{s)-r(s))exp(-y(s-r))ds, (6)

~ ~

which gives stockprices as the discounted stream of future dividends.'

Thc reduced form can be expressed in terms of the policy instruments, j and rn, thc backward-looking state variable, p, and the forward-looking state variablc, q: (I),

i- i.(k(aq fj) -m f p) (7)

r - k~(a9 fI) - .i(m - p) (g)

d- -y(I -a)qfyJ (9)

P - w - ~(a9 fj) and (10)

q`- -.i(m-p)fÍk'-Y)Ít(k'ai-y(1 -a))q, (I I)

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F. rnn drr PlrrrR, Elrrfinn nufromrs nnd fhe stnrkmnrkrf 25 Stockpnces (n) r5`~A ` `i ~ r ~ t. p-D q-0

Price level. wage rate (p-w)

Fig. I. Phasc diagram for the stockmarket and the real economy.

where k'-k~-!j5 is assumed to be positive.

3. Effects of an unanticipated fiscal and monetary expansion

The steady state of lhe system (7)~11) is given by y~(oo)-y-0,

r(oo)-15 !XJ~ )-yl!XJ -U,) 9(OU~-1- - ía, l W( )- Í--1i w~-U~w~-- fr`u áirdt f-'Ylr v~wi-~..l....l-.r r! I~ t'rr

a~l)~. Hence, in the long run there is no inllation and output is at its natural rate. A fiscal expansion leads in the long run to a rise in prices, a rise in the interest rate and dividend ratio, and a fall in the stockmarket. A monetary

expansion is super-neutral, i.e. has no effect on real outcomes in the long run, and leads to a one-for-one rise in the price level.

The transient dynamics associated with (10)-{11) corresponds to saddle-point behaviour, because the determinant of the associated Jacobian, - rba~i, is negativc and therefore thcre is an unstable eigenvalue associated wíth the forward-looking variable, q, and a stable eigenvalue, associated with the backward-looking variable, p-w. The phase diagram associated with (10)-(II) is presentcd in fig. I and confirms the saddlepoint property of this perfcct-foresight systcm.

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26 F. ran der Ploeg, Elerrion aurromes and rhe s7orkmarke~

aggrcgate demand and employment rise on impact. Aftcrwards, the stock-m.rrkct continucs to fall and priccs slale rising which chokc ofT lhc initi:rl inrrcasc in output. On impact the dividcnd ratio jumps up and aftcrwanls continucs to risc to its ncw cquilibrium Icvcl. Sincc thcrc are capital losscs on the stockmarket, thc real intcrest rate remains below the dividcnd r:rlio.

Now consider an unanticipatcd, pcrmancnt monctary cxpansiun. In thc long run this shifts the economy from F." to E, so that prices rise une-for-onc whilst thc stockmarkct is unaffccted. On impact thc cxpcctation of highcr

profits Ie:rds to an increase in the value of the stockmarkct and an incrcasc

in output and cmploymcnL Aftcrwards, thc rise in priccs and dcclinc in thc valuc of thc stockmarkct choke ofi thc ínitial gains in output until cyuilibrium is reached.

4. Effects of uncertainly about election outcomes on the economy

Assumc that an incumbcnt Conscrvativc administration at time 0 is facing an clcction in T pcriods where the rival Labour administration promises to

engagc in a monetary expansion, say m(t-~T)-m~~0, t?0 (sce fig. 2). Lct n

bc thc probability that the Conservative party gcts re-elcctcd and I-n be the probability that the Labour party gets into otTice. In that case the private scctor anticipates a monetary expansion with expected value equal to 0 ~ m` -( I- n)m~ ~ m~. On impact the economy moves from the Conscrvative stcady statc, E~, to A, so that the value of the stockmarkct, thc interest rate, output, employment and in(lation increase as soon as the private sector anticipatcs the probability of a Labour take-over. in the run-up to the election stockprices, output, employment and intlation continue to rise. The rise in prices reduces the interest rate whilst the rise in income incrcases the

intcrest rate. On election eve the economy has moved to B; the time it takes to travcrse the distance from A to B is exactly equal to the Icngth of the prc-clection period. On election morning the votes are counted and the new government resumes oRce. If the Conservative government is re-elected, there is no change in monetary policy yet the stockmarket crashes instan-taneously and output, employment and in0ation fall immcdiately (move from

B to C). Afterwards, the increase in unemployment exerts a downward

pressure on wages and prices. This boosts the real supply of money, reduces thc interest rate and boosts profits, stockprices, output and employment until

the Conservative equilibrium, E~, is reached again. On the other hand if the Labour party secures the next term in o(fce, there is a jump increase in the rnoncy supply as well as an instantaneous boom in the stockmarket, output

and employment ( move from B to D). The subsequent increase in prices Icads

to falls in thc interest rate and the stockmarket, which choke o(T output and cmploymcnt.

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F. rmr drr Plucg, Elrt(ion outiumes and (he stockmarkrl 27

;locwr~~~ces icp

Uul(,ul

(vl

('IICI' IeVE'I WO~C Ic71C I~i-w~i

Flg. 2. Uncertainty about a tuwre monetary expansion.

( Labuur) party emergcs as the victor is perhaps not what one would expect. Huwevcr, most prospective Labour governments promise to deliver a fiscal rathcr than a monetary expansion (see fig. 3). As soon as the prospect of a future Labour government becomes a possibility, the stockmarket crashes and uncmployment increases (move from E~ to A). In the run-up to the rl~~r-tinn thc ctockmarket, output and employment continue lo fall so that wagcs and prices fall (move from A to B). Hence, an anticipated fiscal cxpansion causes unemployment in the interim period. On the morning after the election, the 'news' of the election outcome causes a discrete jump in lhe stockmarket. lf the Conservative party is re-elected, there is no fiscal expansion, the stockmarket immcdiately booms and therefore there is an instantancous recovery in output leading to employment (move from B to C). As a result of the over-hcating of the economy, prices and wages start rising. The subscyucnt falls in the stockmarket after the election choke off output and cmpluymcnt until the old equilibrium is reached (move from C to E~). On lhe other hand, if the Labour party is elected, there is a fiscal expansion and an immediate crash of the stockmarkct (move from 8 to D). Dcspite some crowding out of private investment and consumption, there is a recovery Ieading to over-employment so that prices and wages increase after thc clection. The continuing falls in the stockmarket choke off output and cmploymcnt unlil the ncw eyuilibrium is reached (move from D lo E~).

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F. ran der PIoeR. Efectinn nutcnmes and the slockmarket y FC ; ~ -`jn~` Fi;~ , ~ ~ `~~ EA '~~`~ ~ ` `SP

PriCe level, wage rale (p-w)

Fig. 3. Uncertainty about a future fiscal expansion.

economy. The jumps in the stockmarket depend of course on the anticipated probability of re-election, a. When this probability is high and the Conserva-tive party is actually re-elected, the jump in the stockmarket on election morning is small as there is not much of a surprise. On the other hand, if the Labour party is elected, this is a big surprise and therefore there is a large jump in the stockmarket on election morning. Also, the elTect on the pre-election outcomes is larger when the probability of re-pre-election is lower. 5. Concluding remarks

A simple macrceconomic model with perfect foresight, an efficient stock-market and sluggish labour stock-markets has been formulated. In the long run a monetary expansion is neutral and has no real effects; it simply leads to a one-for-one increase in the price level. On impact the stockmarket rises, so that output and employment rise. Subsequently, the rise in prices and fall in the stockmarket choke off the initial gains in output until equilibrium is reached. A fiscal expansion dces not alTect output and employment in the long run, because it is completely crowded out by a fall in the slockmarket, an increase in prices and wages and an increase in interest rates. On impact the stockmarket falls and output rises. Subsequently, the rise in prices and continued fall in stockprices choke o(f the initial gains in output and employmcnt.

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F. ran der Plurg, Elrcliun outcumes and rhe sruckmarkrr 29

('unscn:ttive party may be replaced by a Labour party at the next election,

this ~eill afTect the pre-clectiun outcomes and cause major swings in thc

sturkmarkct un clc~tion morning. Whcn thc prospcctivc Labour governmcnt

h:!s a tn:!nifcsto which promiscs a monetary expansion, thc stockmarket,

rrices and output rise in the run-up to the election. [f the Conscrvative (Labour) party gcls elected, then the stockmarket crashes ( booms) on

rlcrtion morning with a resulting fall (increase) in output and employment.

Aftcnvards, prices and wages fall (increase) whilst output and employment incrc:!se ( fall). Whcn the prospective Labour administration has a manifesto

which promises a fiscal expansion, there will be falls in the stockmarket and a reccssion in thc run-up to the election. [f the Conservative ( Labour) party gets re-clccted, then the stockmarket booms (crashes) on election morning. In buth cases output and employment increase.

Future rescarch may be concerned with the e(fects of these political-ecanomic swings in the stockmarket and the real economy on the policies of the incumbcnt government and on the manifesto of the opposition parties. For examplc, when there is a threat of a new Labour government which prumises a fiscal expansion, then in the light of the recession in the run-up to the electiun an incumbent Conservative administration may engage in laxer

fitical policy than in the absence of such a threat. In other words, the idcology of the incumbent government may be ' coloured' by the ideology of

a rival opposition party. A related area of research is to investigate the policies and reputations of rival parties as a repeated game [as is done in Alesina {1987)]. Alternatively, one could allow for polilical business cycles driven by temporary informational asymmetries where one finds that

incum-be ;; p~rties chcat Icast when either privatP !nform3!!on ic extrerrtely

favour-able or extrcmely unfavourfavour-able ( Rogoff, 1988). Finally, an important area of future rese:trch is the political economy associated with the international coordination uf economic policies. For example, international policy coordi-nation may be counter-productive as the domestic political-economic distor-tion in budget deficits is increased under internadistor-tional policy coordinadistor-tion

(T:!bcllini, 1988). Rcferences

Abcl, A.B. and OJ. Blanchard, 1983, An interlemporal model of saving and investment, fcunometrica SI, no. 3, 675-692.

Alesina, A., 1987, Macroeconomic policy in a two-par!y system as a repeated game, Quarterly Juurnal of Economics 102, no. 3, 651-678.

BLmchard, OJ , 1981, C)utput, the stock market and interest rates, American Economic Review 71, no. 1, I)2- 143.

Bi~n~uah, V.K. and F. van der Ploeg, 1983, Political aspects of the economy ( Cambridge Unicersrly Press, Cambridge).

Uurnhusch, R, 1987, Èxchangc rate economics: 1986, Economic Journal 97, no, 385, pp. I-I8. Frey, B.s. and HJ. Ramser, 1976, The political business cycle: A commenl, Review u( Economic

SwJies 43, SS) 556.

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30 F. ran dr. PI~rrR, Eletrion owcomes and tlre srotkmorket

Ilibbs, U.A, 19R2, Ecunomic outcomes and polilical support for ffritísh govcrnmcnts amung occup~tion:d classrs: A dynamic analysis, Amcrican FoliUCal Scicncc Rcview 76, 259-279. MacRac, 1).. 1977, A fx,liucal model of the businesc cycle, lournrl uf fu!itical I cunomy RS,

?ty 2(rl.

McCallum, R f., 197R, The pobtical business cycle: An empirical tesl, Southern 1 cunomir Journal JJ, pp. SOS-515.

Minfnrel, 1'. and D. Peel, 19R2, The political theory of Ihe business cycle, Euru~can 1[conumic Revicw 17, 253- 270.

Nordh:rus, W.D., 1975, The political business cycle, Review of Economic Sludies 42, 169-190. Ploeg, f van Jer, 19R4, Government ideology and re-electiun e!forts, Oxfurd Lconomic 1'apers

1(,, 21 i ?31.

Plucg, F. van dcr, 19R7a, Optimal government policy in a small opcn economy with r.uional exlxctauons and unccrtain clcction outcomes, International Bconomic Review 2R, no. 2, 493-SIS.

f'loeg, 1:. van der, 19R7b, The fwlitical econumy of overvaluation, Mimeo.

Rogoli, V. and A. Sitxrt, 19Rg, Lleclions and macroeconomic pulicy cycles, Revicw of Economic Studics Syll. no. IR1, I-16.

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Reprint Series, CentF.H, Tilburg Universíty, The Netherlands:

No. I U. Marini ;rnd t. van der Ploeg, Monetary nnd fiscal policy in an optimising model wiLh capital accumulation .rnd finite livr~s,

'1'he F:conomic~ Journal, vol. 98, No. 392. 198A. PP. 772 - 7Afi.

Nn. 2 F. van dr~r Ploeg, lnternational policy coordination in interdependrnt. monet.ar,y econumies, Journal of International F.conomics, Vol 2~i, 1`)88,

PP. 1 - 23. -- --- --- - -

----No. 3 A.P. Harten, The history of Dutch macroeconomic modelling

(19j6-1986), in W. Driehuis, M.M.G. Fase and H. den Hartog (eds.), Challenges ('or Macroeconomic Modellirrg, Contributions to Economic

Aualysis 17A, Amsterdam: North-Holland, 1988, pp. 39 - 88. No. It F. van der Ploeg, Disposable income, unemployment, inflation euid

state spending in a dynamic political-economic model, Public Choice, vol. 60, 1989, PP. 211 - 239.

No. 5 'fh. ten Raa and F. van der Ploeg, A statistical approach to the problem of negatives in input-output analysis, Economic Modelling,

Vol. 6, No. 1, 1989. PP. 2- 19. - --

----No, b E. van Demme, Renegotiation-proof equilibria in repeated prisoners' dilemma, Journal of Economic Theory, Vol. 47, No. 1, 1989.

pp. 206 - 217.

-No. 7 C. Mulder and F. van der Ploeg, Trade unions, investment and employment in a small open economy: a Dutch perspective, in J. Muysken and C. de Neubourg (eds.), Unemplo~ent in Europe, London: The MacMillan Press Ltd, 1989, pp. 200 - 229.

-No. 8 Th. van de Klundert and F, van der Ploeg, Wage rígidity arrd capital mobility in an optimizing model of a small open economy, De Fconomist íïÏ. nr. í, iyó9. PP. 4Í - 7ti.

No. 9 G. Dhaene and A.P. Barten, When it all began: the 1936 Tinbergen model revisited, Economic Modelling, Vol. 6, No. 2, ]989,

PP- 20j - 219. -

--No. 10 F. van der Ploeg and A.J. de Zeeuw, Conflict over arms accumulation in market and command economies, in F. van der Ploeg and A..l. de 'Leeuw (eds.), D~namic Polic~ Games in F,conomics, Contributions to Economic Analysis 181, Amsterdam: F.lsevier Science Publishers B.V. (North-Hollnnd), 19A9, pp. 91 - 119.

No. Il .1. Drif('ill, Macroeconomic policy games with incomplete information: some extensions, in F. van der Ploeg and A.J. de 'Lr`euw (eds.), Dynamic Poli~ Games in Economics, Contributions to f~conomic Analysis 1H1, Amsterdam: Elsevier Science Publishers H.V. (North-Hulland), lOR9. PP. 289 - j22.

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No. 13 R.J.M. Alessie end A. Kepteyn, Consumption, savings and demogrephy, in A. Wenig, K.F. Zimmermann (eds.), Demographic Change end Economíc

Development, Berlin~Heidelberg: Springer-Verlag, 1989. PP, 272 - 3U5-No. 14 A. Hoque, J.R. Magnus end B. Pesaren, The exact multi-períod

mean-squere forecast ercor for the first-order autoregressíve model,

Journel of Econometrics, Vol. 39. No. 3. 1988. Pp. 327 - 3~16. No. 15 R. Alessíe, A. Kapteyn and B. Melenberg, The effects of liquidit.y

constraints on consumption: estimation from household panel datn. European Economic Review 33, No. 2~3, 1989. PP- 547 - 555. No. 16 A. Holly and J.R. Magnus, A note on instrumental veriables and

maximum likelihood estímetion procedures, Annoles d'Économie et de Stotistique, No. 10, April-June, 1988, pp. 121 - 138.

No. 17 P. ten Hacken, A. Kapteyn and I. Wolttiez, Unemployment bcnefits and the lebor merket, a micro~macro epproach, in B.A. Gustafsson and N. Anders Klevmarken ( eds.), The Politicel Economy of Sociel Security, Contributions to Economic Analysis 179, Amsterdam: Elsevier Science Publíshers B.V. (North-Holland). 1989, pp. 143 - 164.

No. 18 T. Wansbeek and A. Kepteyn, Estimation of the error-components model with incomplete panels, Journal of Econometrics, Vol. 41, No. 3.

1989. PP. 341 - 361.

No. 19 A. Kapteyn, P. Kooreman and R. Willemse, Some methodologicel íssues

in the implementation of subjective poverty definitions, The Journol of Human Resources, Vol. 2j, No. 2, 1988, pp. 222 - 242.

No. 20 Th. van de Klundert and F. van der Plceg, Fiscal policy and finite lives in interdependent economies with real and nominal wage rigidity, Oxford Economic Papers, Vol. 41, No. 3. 1989. PP. 459 -489.

No. 21 J.R. Magnus and B. Pesaran, The exect multi-period mean-square

forecast error for the firat-order autoregressive model with an

intercept, Journal of Econometrics, Vol. 42, No. 2, 1989.

PP. 157 - 179.

No. 22 F. van der Plceg, Two essays on politicel economy: (i) The political

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P~l D(1V C]ni~Q ~nnn I C TII DI IQC TLJC AICTLJCnI AN~S`

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