_ _ _~~~~ ~~ ~~ ~ /. l W ( )g / 9 J) | Policy, Research, and Exiernal Affairs WORKING PAPERS Public Economics Country Economics Department The World Bank August 1991 WPS 737 External Shocks, Adjustment Policies, and Investment Illustrations from a Forward-looking OGE Model of the Philippines Delfin S. Go The rapid increase in investment and external debt of middle- income countries like the Philippines during the 1970s was perfectly "rational" behavior, given existing policies. However, these countries could have done better with an appropriate Imlix of adjustment policies. The paper highlights the intertemporal tradeoffs of tariff refonm, emphasizing the need for complemen- tary measures to ease macro imbalances and short-term disloca- tions of the protected sector. ThePohcy,Research.and ExtemalAffairs Complcx distnhutes l'RI. Working Papers todisserunateLhefindings of %ork in progress and to encourage the ecxhange of ideas among Bank staff and all others interested in development issues. T'hese papers carry thC names of the authors, reflect only their viows, and should be used and cited accordingly. The findings. iiterprctations. and conclusions are the authors' own. They should not be attributed to the World Bank. its Board of Directors, its managemein, or any of iLs member countnes. I Policy, Research, and External Affairs I Public Economics WPS 737 T; ,i' 1'. Ipe r a product ol' thc Public Economics Division, Country Economiiics Dcpartment -- is part of a aice ..lcort in PRE to cxaminc open-cconomy tax reforin and adjusiment policies in dcveloping ,'W tlir s. Copies are available free from thc World Bank, 1818 II Sircc NW, Washington DC 20433. 1 1 contact Ann l3halla, room N 10-059, exteinSioin 37699 (48 pages). k t,dcx cl)pcd a m;odel that integrates from the perspective of the interest rate shock of' tem 1 I iuporal an:1d forward-looking behavior in 1979. The expectation that debts could be i;, -, imcni ii anid conisumption decisions in a stacked indcfini:cly was clearly wrong and the , lliEcc ioat general equilibrium framework initcrest rate shock after 1979 came as a surpris- . iabkh al t) developing counitries. It formulates to many. .;IJ IP""" u ll inminite horizon growth mo(lel to .Ofi,,}t. tilt adjustment, growth, and debt The results demonstrate both the prrmise . ! hmi. of' a i-iddle-incomic couiltry, which Go and danger ol liberalizationi, an adjustment ,:l,<' (I .1mg data lol iltc Plhilippincs. policy ofrten recomiimenided in the 1980s. Tariff' reform shows ihc cxpected benefits in the i t . indalions illustrate the importance of' primary sector and to some degree in exports. .: xx aid looking behavior in conisump- But it may easily lead to a contractioni in the 1! n " nx cstInent. Tlhc) shiow how an import protccted sector like manufacturing, a decline in -ht k could lea(i to an investimnct boom tax revenues, more current account deficits, and i I i I C xpalsion of forcigin debt, as happened more debt. Other mcasures ar needed. , i i. i d s.c cnmtic, to many develophing couIn- * In general, Go 1iiids that a combiniationi of policies is effective in maintaininlg growth and 1! apid cxpansion is hard to explain exports wvithout a rapid accumulation of'debts- 'i!; umtoatino the dynamic competitive cven duiing a permanent import price shock. In : btween domestic an1d ioreign goods fact, an import price slhock is an attractive .i!n in itkeponisC to this shock. TlC increasc occasion lor tariff reform, as it cases prcssures j: !:. Ill account dcficits and ioreigni debt aitcr on domestic piices, prevents exports f'roimi I I't price shock, for examiiple, is certainly declining too much, and docs not lead to an : thinm s 'o(ild be implied by just thc in- expansion of import demand thal normally I inl lircltin prices. Go concludes, among accompanies a tariff reduction. Cotabined with other policies, tariff refonn vi ildion is a kcy factor. Contrary to Ole could rechannel investment and resources toward t i: ,.U I sugge:stionl that anl economy should the morc tradable sectors an(i exports cain be . ail' and colntrac in response to a pemianent emphalsized and increased. If domestic resources 1111m,i I pl)iic shock, tile behavior- suggested in a are also mobilized tirough increased tax collec- aJ. i, t x ith raitional cxpeciationis in investment tioin, thc combir'.cd effect wvill be to reduce or !'i),;l,, 1i' that thC opix)site can be rtrc. slow the accumulation of foreign debt. 1 -,].wcladtions prevailing in the imnid-sevenlties 1- J) 'hit ilic energy crisis was pennanent, the In other words, middle-inicomc coLintries likc i C ea1' kjlvap oil were over, and petrodollars the Plhilippines IImissed a goldcie opportunity for v. o ntilt iitit tuc to he available. But condiitions policy reform in the 1 970s anid found it harder to ;. IanTd. 'I'Thc actioins of thc high-debt implemnIt adjustimicni policies unide less j 'i, ng countlies apiear "inmpudent" viewed favor-able circumistances in the 1980s. i\ 1 LI iu per S.ries. dissemrnates the findings of work undeles \ay in tlie Bank's l'olicy, Researth, and Extemal ie l u .i Atl obJ c tie eol the scrie. cis to get these findinlgs out qulickly, evesn if presentaltionls arc less thlan fullly pxlished. ' ]. s1] F,, intctletitions. ,aid conclusionn in ilesc papers do not neces-arily represent official BRnk policy. Produced by thc l'RE D)issemination Ceniter Contents 1 Introduction 1 1.1 General Framework .. . .. 2 1.2 Organizatiou of the Paper ....... . . . . . . . . . . . . . . . . . . . .. 6 2 Model 6 2.1 Consumption . .......... . . . . . ............... 6 2.2 Investment ........................ . ..... 8 2.3 The Intra-period CGE .i............................. 10 2.4 Equilibrium Conditions ..... . ..................... 11 2.5 Solution Strategy ............................... 12 3 External Shocks 14 3.1 The Impact of an Import Price Increase ....... ............. . 16 3.2 Features in the Dynamic Behavior ...... . . . 19 3.2.1 The Simultaneity of Investment and Saviz&gs .1.9... . . . . . . . . . 19 3.2.2 The Intertemporal behavior ...... . . . . . . . . . . . . . . . . . 20 3.2.3 The Forward-Looking behavior ...... . . . . . . . . . . . . . . . 21 4 Adjustment Policies 23 4.1 Tariff Reform .................................. . 24 4.2 Policies During an Import Price Shock ...... . . . . . . . . . . . . . . . 26 S Conclusions 28 Figures 32 References 38 Appendices 41 ListofEquations .......... 41 Glossary ......... . 46 The analysis of this paper is based on the author's Ph.D. dissrtation, which received an individual grant from Ford Foundation, Philippines. Special thanks re due to Shantaynan Devarajan for his valuable comments and to Hollis Chenery and Dwight Perkins, the other membewr of the Ph.D. Committee. This paper also benefited from various comments in the Bank, among others, from Martha de Mdo, Norma Hicks, Emmanuel Jimenez, Javad Khali[zadeh-Shirasi, Johannes Linn, Pradeep Mitra, and Zmarak ShalizL 1 Introduction The economic difficulties triggered by high oil prices during the brief Persian Gulf crisis underline the continuing importance of external developments and adjustment policies in shaping the economic performances of developing countries. It may be recalled that during the seventies, a number of middle-income and semi-industrial countries actually did well after the 1974 oil crisis but had difficulties after the 1979 oil and interest rate shocks. Hindsight tells us that many of these developing economies over-invested and over-borrowed in the mid-seventies but had to contract when faced with constraints in further borrowing after 1979.1 The implementation of adjustment policies in the eighties has led to the problem of slower growth, characterized by a drop of investment as a ratio to GDP.2 A key factor in these experiences is the behavior of investment and its sensitivity to price changes brought about by external shocks and policy changes. Why did investment in some middle-income countries rose so much in the seventies only to have severe debt problems later? Why did investment decline when adjustment policies, such as trade reform, are adopted? These policies, aimed primarily at making investment and growth more efficient and less dependent on foreign resources in the eighties, are constrained by their adverse impact on macro balances and investment activities in the short term. This study attempts to explore this type of investment and growth responses in a middle-income country like the Philippines by using a dynamic general equilibrium analysis. 'These observations were made by several studies such as Balawsa (1986) and Balassa axid McCarthy (1984). 2See, for example, reviews of adjustment lending experiences of the World Bank which contain major concerns for the recovery of investment and its praductivity in Adjustment Lending - An Evaluation of Ten Years of Experience (1988) and Adjustment Lending Policies for Sustainale Groawth (1990). 1 1.1 General Framework This study is distinguished from other research on developing issues by the integration of an intertemporal and forward-looking behavior in investment and consumption decisiona in a computable general equilibrium (CGE) kramew3rk app!"table to developing countries. It formulates and uses an infinite-horizon growth model to examine the adjustment, growth and debt problems of a middle-income country using Philippine data for illustrations. This growth model is maltisectoral and intertemporal. It combines the intersectoral efficiency in the allocation of resources resulting from market dearing and endogenous prices of a general equilibrium model with the intertemporal efficiency generated from the dynamic optimization of the firm and the utility of an aggregate consumer. This quantitative framework allows us to explore several issues about the growth and investment behavior of a middle-income country in a way not possible in models without expectations. While there is growing number of CGE applications to developing issues, for example, Devarajan and Sierra's examination of Thailand (December 1986) and Lewis' study of Turkey (July 1986), these CGE models are static in nature and are ill-suited for analyzing the dynamic processes of growth. I In particular, the effects of external shocks and adjustment policies on investment and growth are inherently dynamic -- an import price shock or a tariff reform changes the expectation of profits permanently and hence the level and pattern of investment. In these previous CGE studies, an economy's movement in time is described by a series of static equilibria strung together by updates in the levels of factor endowments. These updates axe ad hoc and exogenous to the tatonnement. In relation aThe strengths and weaknesses of economy-wide models in analyzing development issues are discused in Beil and Suinivaaan (1984). 2 to the observed patterns of middle-income countries during the seventies, these previous CGE studies stop short of explaining why investments (hence debts) were high after the first oil shock in 1974 and low after the second shock in 1979. Investment levels were either exogenousty fixed at their high levels or d,iven low by arbitrarily setting them equal to a lower level of domestic and foreign savings as required by the macro-dosure of the model. One effect that these models were designed to measure - the intersectoral reallocation of resources caused by the market price shifts - was often swamped by exogenous changes in investments.4 To examine these dynamic issues, a forward-looking behavior in investment and con- sumption is embedded in a multisectoral and general equilibrium representation of a devel- oping economy. Unlike the static case, the solution of the model is a dynamic competitive path in the sense that it is an intertemporal path along which the economy is always in general equilibrium. It is characterized by three key features - the simultaneity of invest- ment and saving decisions, the intertemporal and forward-looking behavior, and a general equilibrium applicable to developing countries.5 First, savings and investment decisions are not only intertemporal but separate and simultaneous. Investment is neither fixed as in static CGE applications nor dynamically passive as in studies concerned mainly with optimal borrowing, for example, Kharas and Shishido's (1985) study of Thailand and Devarajan's (1986) examination of Korea. The 'While it is possible to set the various elasticities of substitution very low to have strong reallocation effects, convergence problems are often encountered first as the models become rigid and approach Leonitf's fixed-coefficient world. The effects of relative price shocks in a static CGE generally run their course in a single period and have less impact on real income over time than changes in factor supplies. 'There are some recent studies that utilize intertemporal models with forward-looking investment be- havior, but they are not applied to development problenm. For examples, Bruno and Sachs (1985) and Summer(1985) have forward looking investment incorporated in very macro simulation models with applica- tions to the OECD countries or the United States. Wilcoxen (1986) discusses forward looking investment in general equilibrium models and their numerical calculation using linearization. Goulder ani Summer (1989) incorporates this type of investment behavior iu a multisectoral general equilibrium model for the United Statez and examines tax incentive issues for investment. 3 solution is decentralized. At each point in time, consumption is an increasing function of wealth as in a choice-theoretic and life-cycle consumption model. Investment is an increasing function of Tobin's q, the ratio of the present value of profits to the cost of capital, and is subject to adjustment cost as in Hayashi (1982). The macro-closure and equality of savings and investments are brought about by an endogenous adjustment in the level of foreign borrowing, supplied at a given world interest rate. We assumed that a middle- income country have sufficient access to the world capital markets in the s3eventies. When foreign borrowing is constrained as in the eighties, we explore domestic sources of savings and examine the impact on debt accumulation. Second, the model is dynamic and forward-looking. Consumption smoothing is carried out by the consumer in anticipation o'i changes in consumer prices. Similarly, capital ac- cumulation is started by the firms in response to future prices of net output and the cost of capital. In this model, consumer and producer prices are determined by the prices of domestic and foreign goods that are imperfect substitutes. Hence, the dynamic paths of consumption and investment will depend on the changing competitive conditions between domestic and foreign goods. These conditions are reflected in the appropriate real exchange rates and their impact on the intertemporal rates of transformation for consumption and investment. Moreover, because of the adjustment cost, the new steady-state capital stocks are approached gradually over time. The speed of adjustment in the production sector is not instantaneous. Third, it is a multisectoral and general equilibrium model with imperfect substitution. In addition to the Walrasian paradigm of price endogeneity and market clearing, a variety of imperfect substitution in the trade and labor markets are incorporated. Thus in each 4 period, changes in relative prices will affect resource allocation in the tradition of general equilibrium models applied to develoning cc antries. Finally, a middle income country is chosen because the higher per capita income reflects a more diversified economy with a more developed manufacturing sector capable of inde- pendent investment decisions. The analysis uses the Philippines as a case in point. Like other oil-importing and middle-income developing countries, the Philippines was hit hard by the four-fold oil price increase in 1974 and the world-wide inflation and stagnation after. Yet from 1974 to 1979, the Philippine economy grew by 6.5% annually which was higher than its long term growth of 5.5%. Much of this growth was fihanced by external borrowing. When foreign loans became costly in the eighties and adjustment policies were undertaken, the economy went through a serious financial crisis that was eventually marked by a 10% decline in GNP and widespread unemployment during 1983-85. As in many such instances, the repercussions went beyond the economic sphere and contributed to a popular civilian- military rebellion that brought down a 20-year strongman government in early 1986. The size of the foreign debt in the Philippines was a staggering $26.2 billion in 1985. This was about 80% of its annual gross national product (GNP). Debt service required $1,257.0 mil- lion or about 27% of its annual merchandise exports. In recent years, moderate economic growth has been restored but the country is still faced with serious questions about its long- term policies and prospects. Taking the Philippines as an example and using a dynamic simulation model, can we explain its economic and investment performance? What could have been done differently? 5 1.2 Organization of the Paper The remaining sections of this paper are organized this way. Section 2 briefly describes the specification and implementation of the model. Section 3 examines the growth and invest- ment behavior of a middle-income coi'ntry in the seventies and early eighties by introducing an import price shock to the model. To examine whether the dynamic effect: generated by the proposed framework add new insights to the observed responses of the middle-income countries, we compare the results with those a static CGE model. Section 4 investigates some of the policy options while section 5 summarizes the findings and conclusions. 2 Model In this section, we briefly describe the framework with emphasis on the intertemporal con- sumption and investment.6 A list of equations and a glossary of terms are included in the appendix. A reference such as 'A20' means equation '20' in Appendix A. 2.1 Consumption The representative consumer maximizes his expected utility or the present value of the v tility of total consumption in each period which is expressed as follows: ma 1 C, -ve-Pt (1) This is a familiar homogeneous utility function which is additively separable and a case of constant elasticity of marginal utility v. This type of utility function has been used often by Ramsey, Frisch, Timbergen and others in the economic literature. Consumption eGo (1988) provides a more detailed discussion, including the derivation and calibration of various equa- tions in the model. 6 Is discounted by the consumer's rate of time preference p. In order to mantaiu dynamic consistency as posed by Strotz (1955-56), we assume that p is fixed through time. At each point in time, the consumption bundle C is defined by a Cobb-Douglas agegation of specific consumer goods C,. This is akin to an intra-period utility function with fixed expenditure shares a, (A2). The intertemporal condition for consumption determines the forward rate of growth of consumption in response to changes in the intertemporal rate rdg by which current consumption is transformed into future consumption7 - Ct rt-Pt (3) A large re makes future consumption cheaper and the rate of g-owth of consumption will increase, and vice-versa. The intertemporal rate rt is determined by the opportunity cost of savings, the cost of foreign borrowing (A22). This depends on the world interest rate i and the real exchange rate ec, by which import substitutes of domestic goods are traded to satisfy consumer demand. Aggregate consumption is function of wealth and can be derived from the optimal con- ditions and the wealth constraint. In the solution strategy however, we take advantage of certain conditions in which a central planning formulation will give identical results as a decentralized CGE with a single infinitely-lived consumer. Furthermore, the consumer bud- 7The Hamiltonian for this problem is H = e-1"[U(Ct) + 'y.(YC. + rctWt -PCtCt) (2) The optimality conditions from the maximum principle are as folows: a) OR-=° * Uc=-y,PC, b) F c * Uc1 =7ePsi c) (Pt * s ,) d) lim,t-. e-P.', =0 Condition a) and b) are the first order conditions for the consumption of aggregate and specific goods, respectively. The marginal rate of substitution between two goods is derived from b) and is equal to their price ratio in every period (A3). Condition c) and d) are the intertemporal and traneversality conditions, respectively. Noting that Uc C; v and that it/i. = Uc/Uc, the intertemporal condition for consumption is derived as equation (3). 7 get is effectively a 'national' budget. This is reflected in two ways. Wealth of the consumer includes the total capital stock of the economy and the capital formation needed to create this stock is the total savings available in the economy for each period. 2.2 Investment Following pioreering work by Abel (1980), Hayashi (1982) and others, investment in each sector is a function of Tobin's q and the parameters of an adjustment cost function 0(.) as in the expression found in Summers (1981)8 - it = h(QT) (4) = a+ Qt where = 14 f I [PKt - (I1- bb - tc-DPNt)] /(1- tk) where QT iS the ratio of the shadow price of capital q, and the replacement cost of capital PKt, adjusted for various taxes, and, a and , are parameters of a quadratic adjustment cost function (AIO). The various taxes in the investment equation include - DPNt (A8), the present value of depreciation allowances on a unit of new investment; bb, the rate of current incentives given to new investment; tc is new tax credit on a unit of investment; and tk is the '%x rate capital income. Favorable changes in tc or DPNt is equivalent to a reduction in the acquisition cost of capital Jt (A6) for the firm. 'The exact form of the investment equation de,. .ds on the specification of the adjustment cost function 0(.). It takes the quadratic form (equation AIO) suggested in Summers (1981). This function is treated as external to the firm in this study while it internal in Summers (1981). If a = 0, the adjustment cost function and investment equation reduce to a linear form used in Bruno and Sachs (1985). The investmeint function is derived from the problem of a producer that maximizes the value of the firm. The Hamiltonian for the problem is H(t) = p(t)[R(t) - ge(le - 6RK,)] (5) where R(t) is net revenue less investment expenditures and p(t) is the discount factor (equation A20) The optimality conditions from the maximum principle are as follows: 8 In this formulation, firms invest up to the amount until the marginal cost of investment is equal to the shadow price of capital or the present value of the future marginal revenue products of capital (equation 8).9 This ap-roach has natural economic interpretation and is closely related to the concepts of economic project appraisals. In most project appraisals however, the shadow arid future prices are obtained independently. Here, they are derived from the intra-period solution of the general equilibrium which in turn interact dynamically with the investment paths. An intertemporal equilibrium is attained when the expectations of future prices in investment decisions conform to the values eventually realized in the future. qt is net of adjustment cost 0(.), the presence of which reduces the shadow price and makes investment less attractive. By Hayashi's identity, the shadow price of capital qt is equivalent to the average q, the ratio of the value of the firm Vt and its capital stock Kt, adjusted for DK)t (A9), the present a) =O * 1- tk)p#Fs(t)= Wt b) = ( O 1- tk)p.FE(t) = PNt c) J=O * J'(Ie)=qt or PK(1 - bb - t- DPNe + [O(.) + 9'(.)]) =gt d) 1%2 =- * it = (r, + 6)qgt-R(t) or rtqt = RA,(t) + it - 6qt e) lime-.* I,q,K, = O where Rh, = (1 - tk)p#Fk(t) - PK,z9'(ze) Condition (a) and (b) require that labor and material inputs are hired so that their marginal revenue products equal their market prices. Condition (c) states that investment takes place until the marginal net cost of investing equals the shadow price of installed capital q,. Since 0'(.) > 0, the equation can be inverted to derive an investment function with (I,/K,) as an increasing function of q,. It = h(qt)Kt (6) The next condition (d) states that the required return of capital r,9q is equal to the marginal revenue product of the added capital Rk plus capital gain j net of depreciation loss 6q,. RI, is defined as RI, = ptF(t) - PK,MZ2'(Z,) (7) X20') is a reduction in the marginal revenue product of capital due to the adjustment costs. Equation (d) is a differential equation that can be solved subject to the transversality condition (e) to yield the equation for q, (equation 8). 9See condition (d) in the previous footnote. 9 value of depreciation allowances allowed by tax laws on ezsting accounting capital stock. c co jt R& ezp[- i (rt + 6)dvJda (8) = V - DOt K, In a simple case without taxes, Qt in the investment function becomes - Qt= (9) PKt =pV*g The first term on the right is simply's Tobin's q, the ratio between the value of the firm and the replacement cost of capital. Thus, if Tobin's q or the real shadow price of capital is greater than 1, investment will increase, and vice-versa if it less than 1. 2.3 The Intra-period CGE The intertemporal investment and consumption are embedded in a computable general equi- librium model which incorporates many stylized features of a developing economy. Gener- ally, these features foiow the family of CGE models constructed for developing countries by Dervis, de Melo, and Robinson (1982).1" Production is a nested function of inputs. Output in each sector is a CES combination of value added and material input (A29-31). Material input is a fixed-coefficient aggregation of inputs (A35-6). Value added, on the other hand, is another CES composite of labor and installed capital (A32-4). Labor market is fragmented - labor in each sector is a Cobb-Douglas combination of urban and rural types (A37-9); but sectoral wages are fixed proportions of wages for each labor type, reflecting differences in productivity (A40). "A survey of such CGE models is found in Robinson (1988). 10 Imperfect substitution cbaracterizes the trade markets. This is reflected in the Arm- ington function between domestic goods and imports (A46-9) and the constant elasticity of transformation (CET) between sales to the domestic market and sales to the export markets (A42-5). Moreover, reflecting the country's endowments, trade specialization, and past policies, the baskets of export goods and import goods are different. This dichotomy implies that the exchange rate in the demand side depends on prices of domestic goods and their import substitutes (A22) while the exchange rate in the supply side, rp, relies on domestic and export prices (A21). 2.4 Equilibrium Conditions To arrive at a dynamic solution, two sets of equilibrium conditions must be satisfied. First, expectations about future prices and variables are 'self-fulfilling' and conform to values eventually realized in the future. This is the intertemporal requirement for the forward- looking and perfect foresight. Second, given expectations about future prices, supplies must equal demands for a general equilibrium in each period. After a policy change or external shock, the intertemporal conditions for consumption (A14) and investments (A15.6) will nudge the economy towards new steady state levels (A25-8) from which everything grows at a constant rate g. Given initial capital stocks, there is only one unique path that will lead capital accumulation to the steady state level I*/K. Likewise, there is only one consumption path consistent with the consumer wealth generated by investment and labor earnings in each period. The lead variables in this path, consisting of the exchange rates affecting the intertemporal transformation rates (A21-24), guarantee that the future prices of domestic and foreign goods are fully anticipated. Because 11 the baskets of goods for exports and imports are different, the intertemporal transformation rates for consumption and investment in each period may diverge. Consumers face the costs of domestic goods and import substitutes in their decisions while producers look at the sale prices in the domestic and export markets. In the steady state however, a unique asset equilibrium is attained. All relative prices become stable and the exchange rates cease to change, e = 0. At this point, all asset prices converge to the world interest rate (A28). Given expectations of the lead prices, the equilibrium conditions in each period require that - (i) the demand for each labor types equals its supply (A61); (ii) the demand for goods equals the supply from each sector (A62); (iii) the balance in the external current account must be offset by flows in the capital account (A63); and, (iv) total savings must cover total investment (A64). 2.5 Solution Strategy In the model, producers maximize profits and a single consumer maximizes its utility in an Arrow-Debreu CGE framework. We can solve this type of formulation as a master plan with a solution which will be identical to the competitive equilibrium.'1 That is, - maz U(Ct)e'°dt subject to (10) the investment and XGE equations Moreover, by Walras' law one of the budget constraints is not independent and we choose to omit the complicated wealth constraint of the consumer, reducing the dimension of the problem. "1Ginsburg and WVaelbroeck (1981) prove an existence theorem that links and emphasizes the symmetry between the competitive model and certain planning models. The equivalence of the two approaches in an infinite-horizon macro-model is also discussed in Abel and Blanchard (1983). 12 Sector 0c at 0q au Primary 2.00 3.00 0.75 1.25 Manufacturing 1.25 1.50 0.75 0.85 Services 0.60 1.00 0.75 1.25 Table 1: Trade and Production Elasticities The model is calibrated to generate a reference steady state run with values that match the benchmark data of the Philippine economy. The derivation of these data and parame- ters are based on a 1979 social account matrix (SAM) and CGE model for the Philippines in Go (1986 and 1988). For this study, there are three production sectors - the primary sector, manufacturing, and services; two labor types - urban and labor; and, one representative household but four distinct institutions - urban labor, rural labor, firms, and government. The trade-related elasticities, oc for the Armington functions and ot for the CET functions, are generally higher in the commodity sectors than in the less-tradable service sector (see Table 1). In the nested production function, the elasticity of substitution a, between inter- mediate input and value-added is set at less than unity to allow for flexible and increasing shares of material costs in the event of an input price shock. The elasticity of substitution between labor and capital a,, in value added is less in manufacturing than in other sectors, given the assumption that skill and training are required more in manufacturing. However, the 0V's in manufacturing are still close to unity.12 The manufacturing sector is the most capital-intensive while the primary sector is the most labor-intensive. The balanced-growth rate, g, is specified at the long-term growth of the Philippine economy at 5.5% a year. 12This is consistent with the findings in other studies, Behrman (1982) which uses cross-country data and Estanislao (198O) which uses Philippine time series. 13 The parameters are tested to replicate historical paths of the Philippines during 1974- 85.13 E general, we find that the values, a = 0 and ,B = 2, are reasonable. These values imply a linear adjustment cost function similar to Bruno and Sachs (1985). They generally will add a 10.5% adjustment cost to investment expenditures at the steady-state. In the consumer utility function, we set v = 0.90 and calibrate p from the state-state condition (A27). Taken together, the parameters indicate a stronger intertemporal substitution in the supply side relative to consumption. We follow the usual procedure in solving an infinite-horizon growth model by requiring that a steady-state is reached at some future terminal period. For as long as the transver- sality conditions (A18 and A19) in the maximization of the objective function and the value of the firm are satisfied, the sums of various infinite series (pertaining to the utility function, the value of the firm, the present value of depreciation allowances, and the shadow price of capital) will be finite and solvable. A sufficient condition is that the discount rate and the rate of time-preference are positive and greater than the balanced-growth rate.14 3 External Shocks In this section, we examine the effects of an import price shocks in a middle-income country like the Philippines using simulations from the dynamic CGE model. WVe take the case in which foreign lending is not constrained and forelgn debt is endogenous. The shocks to 13This step is implemented in Go (1988). "The model is soved by using a high-level modeling language called General Modeling System (GAMS) with the Minos5 as the solution al8orithm. See Brooke, Kendrick, and Meeraus (1988) for a full exposition. The verion of GAMS used in thi study will actually solve for 30 periods but the computin§ time will increae geometrically. For the purpose of this study, 20 periods are used most of time. This is not a serious constraint - given reasonable parameters in the adjustment coot function, moat of the adjustments are exhausted within 10 to 15 years. Moreover, to prevent rounding errors and small data infeasbilities in the base-year from blowing up by exponential growth, the variables and solutions are detrended by the balanced-growth rate itE Detrending also allows us to check if the model generates and replicates the bae-year data in a steady-state solution. 14 the system are permanent in nature but initially unanticipated. The external disturbance is an import price shock involving a 50% increase In the import price of primary goods which Include oil. This is a reasonable replication of the 1974 oil crisis since it causes an Immediate worldwide inflation which raises the cost of imported raw materials everywhere. Another type of major disturbance is an interest rate shock much like in the late seventies. However, the effects of the latter, which is an outright shift in the intertemporal rate of transformation of resources, are straightforward and will lead to a decline in investment and a contraction in the economy as what happened to many middle-income countries after 1979.15 Hence, we consider only the import price shock. Several questions are raised in this exercise. Do the simulation results illustrate the observed responses of middle-income countries in relation to the import price shocks during the 1970s? Does the introduction of forward-looking and dynamic behavior make any difference? There are several dimensions to this issue. In relation to a comparable static CGE model, what are the qualitative differences in behavior? Are there changes in the signs of the effects? Are the magnitudes of these differences large? The results are presented in graphical form for easier .nterpretation. In each graph, a horizontal line equal to one along the vertical axis is taken as the reference balance growth run. Each deviation from this reference traces the effects on a key variable of a change in policy or the advent of an external shock. I5See Go (1988) for details of this simulation. 15 3.1 The Impact of an Import Price Increase The dynamic effects of an import price shock in the primary sector are summarized in Figure 1 to 4. One immediately discernible effect is the increase in real investment ('Invest' in Figure 1). This is in fact what happened after the oil crisis in 1974 to many middle- income countries like the Philippines. In this simulation, total investment goes up to about 1.04 times the benchmark level and gradually settles at 1.03. For a shock comparable to the magnitude in 1974, the increase will be a lot more. There are several reasons for this increase. First, the shock is a boost to the production of rimary goods but causes a contraction in trade. The increase in import price will favor the demand of domestic variety of primary goods. It is also an input price shock that raises output prices, notably in the raw material intensive sector such as manufacturing. Because of the effects of demand substitution and the input price shock, domestic prices will rise unambiguously. With other world prices constant, the real price of exports relative to domestic prices ('PWE/PD' in Figure 1) will decline, causing a shift away from export supply. Overall, both imports and exports will decline. The import price shock works out like an increase in tariff protection with Stolper Samuelson-like effects (for specific factors) on the favored sector. The equivalent experience in the Philippines in the mid-seventies is the rapid rise in the supply of domestic energy, particularly in the areas of geothermal, hydro power, and non-traditional energy sources.16 Much of the dynamic impact depend on domestic prices and how they affect the rates of intertemporal substitution. For the consumer, the increase in domestic prices and import "6The episode indicates that the substitution elasticity in energy sources, although costly, is greater than zero. 16 prices will clearly raise consumer prices. This will reduce real wealth and decrease consump- tion below the benchmark levels. Moreover, domestic prices do not go up as much as the import price shock because of the imperfect substitution. As producers increase outputs, the rise in domestic prices also will slow down eventually. This implies a deteriorating de- preciation of the real exchange rate and the rate of intertemporal substitution -will increase, making future consumption goods cheaper. A process of consumption smoothing will occur in favor of postponing consumption. In time, consumption rises slightly from the initial drop but remains below the benchmark level ('Consum' in Figure 1). For the producers, the increase in domestic prices raises the expectations of profits and value of the firm by causing an appreciation in the exchange rate and an immediate decline in the intertemporal rate of transformation. The shadow price of capital wiU thus go up. Tempered somewhat by the higher replacement cost of capital, the tax-adjusted QT's still go up and sectoral investments are encouraged (Figure 3). Among the three sectors, investment in the primary industry jumps the hf xest in the first few periods as expected. In manufacturing, the increase in the costs of material inputs and replacement capital wiU discourage investment initially. Interestingly however, investment in the service sector goes up and stay above the benchmark levels. The contraction in foreign trade and the availability of foreign borrowing will in effect favor the least tradable sector in a Dutch Disease like phenomenon. The historical analogy in the Philippines is the boom in hotel and other real estate construction in the mid-seventies. The presence of forward-looking investment behavior with adjustment costs amplifies the magnitudes of some effects in the early stages. With supplies adjusting slowly, domestic prices move rapidly to signal shortages and to create the appropriate expectations of net 17 Income and their timing so that investments are made immediately. Over time, the process is reversed by changes in domestic prices brought about by investments and their impact on supplies. The production of domestic substitutes will slow the initial changes in prices and bring about a correction of the intertemporal transformation rates. As a result, Investment in the primary sector will slowly decrease from its initial peak. In the manufacturing sector, the long-term conditions are more favorable with cheaper costs of materials and replacement capital becoming available. Its investment will eventually rise again and settle near the benchmark level. In the service sector, its Investment will remain stable at higher than the benchmark levels. The switch away from foreign trade benefits this sector. In the primary good sector, the shock acts like a permanent protection. Its investment and output settle at higher levels than the other sectors (Figure 4). For the manufacturing sector, the input price shock reduces its output supply permanently. Since its capital stock returns to the benchmark level eventually, the shock leaves a permanent loss in the productivity of its capital. Because of the investment activity, the current account deficits and the foreign debt also rise more steeply than would be the case. This is precisely the experience of some middle-income countries in the 1970s. Current account deficits (M - E) jump to 1.6 times the benchmark level at the start (Figure 2). They eventually stabilize at 1.18 as exports become more competitive when domestic prices start to soften. Foreign debt is about 1.15 times greater than the benchmark at the end. 18 3.2 Features in th! Dynamic Behavior In discussing the import price shock, three dynamic features of the model were implic- itly emphasized - first, the simultaneity of investment and savings behavior; second, the intertemporal and dynamic character; and third, the forward-looking behavior of invest- ment and consumption. To isolate these features, we compare the results from a static CGE model. The static version is the same model without the intertemporal consumption and investment. Consumption of each good is a fixed share of household income. The investment-saving identity is closed by either fixing sectoral investments or total savings through a constant level of foreign borrowing. In the latter case, sectoral investments are allocated on the basis of relative profitability. 3.2.1 The Simultaneity of Investment and Savings One immediate difference is the closure of the savings-investment identity. In the static model, one component has to be fixed. We show the effects of the shock in each case (Figure 5-8) and identify the important differences. 1. Fixing sectoral investments (Figure 5-6) makes capital accumulation a trivial case. The import price shock still causes a contraction in trade as expected, more in imports than exports. Consumption also declines in response to higher prices. GNP declines slightly as a result. Because real investments are fixed, the current account deficits (M - E), foreign borrowing, and debt will increase only slightly. 2. Fixing foreign borrowing (Figure 7-8) makes the story in the balance-of-payments trivial. In addition to the contraction in trade, consumption, GNP, and investment 19 also will decline. Investments are now more costly and will decline in relation to a constant level of total savings. Among industries, the higher prices in the primary industry will raise its investment and capital stock while contractions are observed in manufacturing and services. 3. Differences: First, the magnitudes of the effects in a static model are small compared to the dynamic effects. The intersectoral effects are immediately exhausted in a static CGE model while these are amplified in the dynamic version. The magnitudes in the rise in investments, the current account deficits, the foreign borrowing and debts are nowhere near duplicated in the static results. This is true in either closure of the static case. Second, the sign of some effects are different. In the dynamic case, real GNP eventually rises above the balanced growth trend. Another obvious difference is the rise in investments in the service sector. The Dutch disease-like boom in the least tradable sector is simply missing. In the static model, investment in the service sector is either fixed or will contract. 3.2.2 The Intertemporal behavior The shifts are one-time effects when investments are fixed. What appear as downward shifts in sectoral investments, GNP, consumption, exports and imports in the case of fixed foreign borrwing are not due to economic behavior. They are caused by the rising debt service payments as the external debt moves along the balanced growth trend. Since foreign lending is fixed, the portion of borrowing devoted to debt service payment rises and net foreign savings will decline in time. Hence, another difference is the rich story brought by the changes in relative levels of domestic prices and world prices. In an intertemporal 20 model, producers compete in both the domestic and export markets; the consumer chooses between imports and domestic goods and starts a consumption smoothing in respond to changes in the exchange rate. These time-dependent patterns are simply missing. It is also erroneous to think that the results of the static model are equivalent to the steady-state changes in the dynamic model. The magnitudes are different - note sectoral investments and balance-of-payments f gures. Some of the signs in the steady-state are also different - note real GNP and sectoral investments of services and manufacturing. 3.2.3 The Forward-Looking behavior The forward-looking feature is best illustrated by introducing the permanent import price shock in a f-ture period rather than the first period. Using the sixth period as the cut-off point, we compare effects of a future import price shock in a static CGE model using a savings-driven closure (Figure 9) with the results in a dynamic CGE model (Figure 10-2). In the static case, all changes begin only in the sixth period when the shock occurs. The results are the same as those in Figure 7-8 but are moved forward as we would expect. In the dynamic case, the changes begin in the first period in spite of the delayed shock. In fact, the dynamic responses of an anticipated permanent shock are different from those noted previously in Figure 1 to 4. Investment strategies change substantially. Investments in all sectors are now significantly above the benchmark levels in the first period. Investment in the primary sector rises more as the shock nears and peaks when the benefit is greatest at the time of the shock. What is interesting is in the manufacturing sector. Anticipating the adverse shock, producers invest immediately while the replacement cost of capital is not yet affected in the first few periods. The same is true in the service sector in which 21 the Investment boom is now more amplified. After the shock, all the investment levels drop somewhat from the Initial growth but remain way above the balanced-growth trend. Similarly, consumption increases Immediately in anticipation to the higher future prices. After the shock, it shifts down below the long-term trend. Because domestic prices are bid up much more initially, the real exchange rate for exports appreciates immediately. The initial rise in exports are no longer observed. In fact, total exports drops below the trend throughout. The impact on import demand is most illuminating. It changes signs before and after the shock. Before the shock, there is a very strong rise in imports while they are still cheap. After the shock, a big fall is registered. This temporary stimulus in investment and consumption is a rational expectations be- havior emphasized in Dornbush (1985). Because of the imjport contents of investment and consumption goods, the expectation of relatively higher import cost will lead to a higher real price of assets for the producers and a lower intertemporal rate for the consumer. This will promote a transitory investment boom, a temporary rise in consumption, and a very steep rise in import purchases immediately. Thus, the current account deficits, foreign borrowing and debts also increase immediately by several folds. They are maintained at high levels for the duration of the periods before the shock. Once the real depreciation in exchange rate of imports goods has occurred, investment will slow down. Consumption also will decrease. These results suggest that the expectation of an accelerating foreign inflation will have greater impact than a one-time permanent shock. In the mid-seventies, the expectation was that the energy crisis was permanent and may even worsen. Moreover, it was expected that the inflation in the industrial countries would continue to make the cost of imports high. By these observations, the anticipation of a worsening situation is an important source of 22 variation in the investment and growth of middle-income economies. 4 Adjustment Policies In this section, we analyze one adjustment policy often suggested for many developing countries in the eighties - a liberalization of the economy involving a tariff reform. Because there is a need to maintain credit worthiness, we study the dynamic effects of such a policy on the external debt and government revenues as woll as the overall growth of the economy. A key question is whether it is possible to push exports and agriculture without incurring government deficits and heavy debts. To do this, a combination of other measures is introduced - export subsidies, removing incentive bias against agriculture, investment tax credits, and some amount of consumption tax. Then, looking at the mid-seventies in retrospect, we examine if a combination of these policies would have been effective in pushing exports and slowing the growth of debts in the face of a severe import price shock. This is an at'tmpt to answer if the middle-income countries like the Philippines could have done better by implementing the 'right' policies. Like many import-substituting developing countries, the policy incentives in the Philip- pine economy is biased against agriculture and exports. These are incorporated in the dynamic models two ways. First, the average tariff rate for manufacturing (23%) is more than twice the rate in the primary sector (10%). Ilowever, the difference in these rates are only small part of the incentive bias and are not high when compared to the magnitudes of the recent external shocks. More important, the bias is also reflected in the bb parameter in the investment equation. 23 The shadow price of capital vary with the amount of installed capital, the discount rate, and the investment levels in the base year. For a discount rate of 9.5%, the shadow price for the primary sector is about 2.10; 1.50 for manufacturing; and 1.20 for services. They are reasonable values for the Philippines."7 Their differences indicate some amount of over- investments in the service and manufacturing sectors when compared to the primary sector. The parameter bb is calibrated to generate the base year investment levels and the above shadow price of capital. In one policy experiment, we examine the effects of removing the incentive bias against agriculture by setting bb to a uniform value in all sectors. 4.1 Tariff Reform We introduce a tariff reform by imposing a uniform 10% tariff rate. 17% is the average import duty in the base year. The results are shown in Figure 13 to 20. Note that foreign borrowing and debt will increase. A tariff reform makes imports cheaper and their demand will increase. Exports also increase but not as much as imports. Because tariffs are im- portant revenue sources in developing countries, tax collection will fall ('Taxes' in Figure 13), foreign borrowing will have to increase to cover for increased imports and reduced government savings (Figure 14). Who gains and losses? Note that a tariff reform will hurt the manufacturing sector. Its value-added will decline since it will face the most competition from cheaper imports. Its investment will fall while those in the primary and service sectors will increase. With full employment and wages in each sector tied to the market clearing levels in fixed proportions, we find wages to be relatively stable in the manufacturing sector. However, adjustments will 17See, for example, Bautista, Powell et. al (1979). 24 be carried out from the quantity side and a dislocation of employment in the manufacturing sector is registered (Figure 17). All told, aggregate labor income in the marufacturing will decline while it increases in the other two sectors. If the general equilibrium condition for full employment is not satisfied in the real worI(', unemployment may rise and wages may faUl in the manufacturing sector. The rates of return also work against the manufacturing sector in the short-run. This is a restatement of Stolper-Samuelson theorem with specific factors. Its investment and capital income will all drop from the benchmark levels (Figure 18). Overtime however, the domestic supply of manufactured goods will shrink and the domestic prices of manufacturing will rise, making investment in manufacturing attractive again. If the reform can be financed and the initial resistance of the manufacturing sector overcome (which are two big if's), the long-run results of this model show and quantify the gains of such policy - a tariff reform will lead to a higher consumption, investment, and GDP (Figure 13 & 16). Much of the effects of a tariff reform have been debated. Recent studies show that unifying tariff rates may not be efficient."8 This dynamic analysis confirms some additional fears - the short-term dislocation of the protected sector, the decline in tax revenues"9, and the increase in foreign debts. To be fair, we have not examine the effects on the efficiency of production, whether tariff reform will lead to long-term increases in the efficiency of a more competitive production? This may mean using some form of embodied technical change as suggested by Solow (1988) or increasing returns in production which is not the scope of the present paper. "For example, Dahl, Devarajan, and van Wijnbergen (1986) and Mitra (1987). "9We find that the decline in tax revenue, although less severe, is also true even in case of a tariff reform involving a uniform 0.17, the base-year average tariff rate. 25 4.2 Policies During an Import Price Shock The results in the previous section demonstrate both the promise and danger of liberaliza- tion. A tariff reform shows the expected benefits on the primary sector and to some degree on exports. However, it also may lead to a contraction in manufacturing, a decline in tax revenues, more current account deficits and an accumulation of debts. A variety of com- plementary measures are needed to offset some of the less desirable effects. In general, it is possible within the same framework to introduce a reform of domestic taxes and incentive schemes to encourage further output of primary goods, more exports, and prevent a decline in manufacturing while offsetting potential revenue losses.20 In this regard, an interesting question is as follows - will a combination of such policies work in response to an import price shock? Could a package of policies maintain growth, slow down the contraction in trade, rechannel investment towards more exports and prevent the rapid rise in debt? The answer from using this framework of analysis is yes, which we establish by demonstration. Three experiments are conducted and presented in Figure 21-4. For simplicity, we concentrate on the dynamic effects on total investment, real GDP, foreign debt and exports. The label of each plot corresponds to the group of policy instruments that are applied and the definition of the experiment.21 1. PM - This corresponds to no policy and to the dynamic effects of an import price shock. The external shock is defined by a 2.3 times increase in the real price of primary imports. This is equivalent to the 1974 oil price shock in the Philippines. As before, 20See Go (1988). 21 Foreign debt remains endogenous to maintain comparability with the previous experiments. It is possible, however, to derive a time path of fiscal adjustment, ie. domestic tax changes or reduction in government expenditure, in order to generate the necessary domestic savings while keeping foreign borrowing fixed. Moreover, for simplicity, we assume that policy makers are able to implement these policies immediately right after the unanticipated shock occurs. 26 the results of the shock show a permanent increase in investment, an acceleration of economic growth (GDP), a contraction in exports, and an accumulation of foreig debt. 2. PM+tm - In addition to the import price shock, a tariff reform is introduced and a uniform duty of 10% is implemented. This is a sizable tariff reduction for man- ufacturing from its original 23%. In addition, a temporary tax subsidy is given to exports in the manufacturing sector - 10% for the first 5 years, 5% the next 5 years, and zero thereafter. A 10% tax credit is also given to the manufacturing sector. To raise domestic resources, a 5% consumption tax is implemented while government consumption expenditures are reduced to 4% below the long-term trend. The reasons for the measures and their effects are as before. Except this time, a debt accumulation is prevented by the tariff reform and the various policies aimed at assisting manufac- turing and its exports. Note that exports no longer decline as much. Investment responds positively to the temporary benefits but stays at near the benchmark levels after period 5. Real GDP is slightly below the long-term trend. 3. PM+tm+bb - In addition to PM + tm, the incentive bias against agriculture is removed and kept at par with manufacturing, ie. a uniform bb parameter. To prevent the manufacturing sector from 'losing out' too much to agriculture, the 10% subsidies for manufactured exports are kept for 10 years and the consumption tax is raised to 10%. Except for an initial boom in investment, the net result is an economy growing at its long-term trend with high exports and a rapidly declining foreign debt level. While it takes some extreme policies to attain this growth pattern, the purpose is 27 simply to demonstrate that rapid debt accumulation is not necessarily the end result of an import price shock, given the right mix of policies. In fact, the arrival of an import price shock is an attractive occasion for tariff reform since it eases the accompanying pressures on domestic prices; it will prevent exports from declining too much; and it does not lead to an expansion of import demand that normally accompanies a tariff reduction. Combined with other policies, the investment boom and Dutch disease- like effects on the service sector could be rechanneled towards the more tradable sectors and exports could be emphasized and increased. If a mobilization of domestic resources is also undertaken through increased tax collections, the combined effects will reduce or slow debt accumulation. 5 Conclusions The simulations illustrate the importance of dynamic and forward-looking behavior in con- sumption and investment. It shows how an import price shock could lead to an investment boom and rapid expansion in foreign debt as what happened in the mid-seventies to many developing countries. This rapid expansion is hard to explain without investigating the dynamic competitive conditions between domestic and foreign goods over time in response to these shocks. For instance, the increase in current account deficits and foreign debt after an import price shock is certainly greater than would be implied by just the increase in foreign prices. In looking at these dynamic effects, several point were emphasized: * The intersectoral effects of a shock are amplified by the dynamic behavior. The 28 magnAtudes of these effects were dearly large in relation to comparable results from a static CGE model. This is specially true at the early stages of the impact. * In time, the supply of domestic goods and their prices react to the initial changes in investments. A reversal of the initial effects is usually triggered because of the changing competitive conditions between domestic and foreig goods. This phase corresponds to a slowing down of an expansion (or contraction) as the economy approaches a new steady state. A static CGE model would simply miss out this rich dynamic story. * The signs of some of the effects are also different. For example, in response to an anticipated import price shock, the transitory boom in investment and increase in consumption demand will lead to a rapid increase in import demand, not a contraction as one would expect from a static intersectoral reallocation of resources. The increase in investment in the service sector would have not been registered. 3 Expectation is a key factor in the results. Contrary to a common suggestion that an economy should adjust and contract in response to a permanent import price shock, the behavior suggested in a model with rational expectations in investment decisions is that the opposite can be true. Investment and output must expand in response to the dynamic competition with a more costly import substitute in the market place. Demand for a domestic alternative is sought and is slowly provided with increased investment. It is a 'rational' action based on the expectations that the shock is permanent and may worsened and that the interest rate of foreign borrowing will continue to be low. The kind of expectations prevailing in the mid-seventies were precisely of that kind - that the energy crisis was permanent, the days of cheap oil was 29 over, and the availability of petro-dollars was going to continue. But conditions soon changed. The actions of these high-debt developing countries are found 'imprudent' from the hindsight of the interest rate shock in the late 1970s. Is there a failure of policy? The expectation that debts could be stacked indefinitely was clearly wrong and the interest rate shock after 1979 did came as a surprise to many. A more interesting issue is whether policy makers could have taken advantage of the easy credits to finance the needed reforms without the accumulation of debt. Searching for policy options, the results demonstrate both the promise and danger of liberalization, an adjustment policy often recommended in the eighties. A tariff reform shows the expected benefits on the primary sector and, to some degree, on exports. But it may easily lead to a contraction in manufacturing, a decline in tax revenues, more current account deficits and an accumulation of debts. A variety of other measures are needed. In general, we find that a combination of policies is effective in maintaining growth and exports without a rapid accumulation of debts even during a permanent import price shock. In fact, the arrival of an import price shock is an attractive occasion for tariff reform since it will prevent exports from declining too much; it eases the accompanying pressures on domestic prices; and it does not lead to an expansion of import demand that normally accompanies a tariff reduction. Combined with other policies, the investment boom and 'Dutch disease' effects on the service sector could be rechanneled towards the more tradable sectors and exports can be emphasized and increased. If a mobilization of domestic resources is also undertaken through increased tax collect ons, the combined effects will reduce or slow the foreign debt accumulation. Based on this hindsight, we conclude that middle-income countries like the Philippines missed a golden opportunity for policy reforms during the seventies and found it harder in the 30 eighties to implement the adjustment policies under less favorable circumstances. 31 Dynamic Effects of an Import Prie Shock In Primary Goods Dynamic Effects of an leport Prie SMock In Primr Goods On SoY" Macw-Varvie e On Fovign Debt 0h. Bag CM. &&Rod ta - £.00) Mm onto Ce, kimd coedh Rm 1.00) RATIO RATIO 3.05 3.1 I.04 h ______________ ________ _____ t. (U-E 0.90~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~S PWE/PD 1 o sm_______ __ __ 1.2 ~~~~~~~~~~~~~~~~1. 0.04 - -11 - - - - - - . 0.90 - 1.- _ .-' 0.00 Exp~~~~~~~~~~~~rts~~~~~ 3~~.0 DE 0.0 0 2 4 a l0 1 2 14 I4 to 20 0 2 * * a * t 13 , to Is 2s w TIME PERIODS TIME PERIODS m ar Dynamic Effects f an Import Price Shock In Primary Coods Dyamic Effect of an Import Prke Shock in Primary Goods On Seotorsl Inwetvnent On Sectorl Outpul (P. 0BarraIa cam.. k - s. eo m - 3.00) RATIO RATIO .1so 1.10 1.14. 1.30..0 Princary 1.06 3.04 I.00 -Se-ices Services Service 3.02 - - - - - - - - - - - 0.9 ,- - ' 0.95 _ -- -- O.S6 Manl4f11C. 0.94 092 * 000 __*_*_*_*___*___OSC____*_______________ o 2 4 G s so 12 4 36 lB o0 0 4 6 a to 32 34 is la 20 TIME PERIODS TIME PERIODS Effects of a Import Price S k In Prly Goods. StaUe m Effect of * amport Pri In PrC ood SrUc Ca On Some Ma-Var.iables On Foreign Debt 111.2.Cam DdaauG Gowt b n - 1.00) (Fl. 3m ul *mcd ob -hs)a la) RATIO RATIO 3.06 3.4 1.04 ____________________________ 3.00 o . ua PK/PD9Co 0.2 (M-E) 0.04 S orI 0.92 ~ ~ ~ ~ - - -- _ _ _ _ _ _ _ _ Expf _------------------______ 0.92 Ex~~~~~~~~~kport O." 0.66 o. v . a * a a a a a * * * * * , * * ...................... ,. Q* 0 2 4 a 0 0 32 04 I6 18 20 0 2 4 t 0 12 14 to to to TIME PERIODS TIME PERIODS w Jt.2 a_ 0~~~~~~~~~~~~~~~~~~~~~~~~~D~~~~~~~~~J0 EMects of a Import Price Shock in Primary Coods. Static Case ffects of a Ihport Price Shock in Primary Goods, Stati Case On Some Maro-Vaiables On Sectorat investnent 11usd 3Cem Balaced Growtb ha - 0.00) umzad eCm. Calancd Groft 2e - LO) RATIO RATIO 1.0 1. 06 3.04 1.04 Pknoy I.02 0.98 -------- --- PW@EP ------ 0.94 Export 0.96 MantocL-____ 0.96. 0.s2 _____________________ 0.s _ -____ 0.96~ ~ ~ ~ ~ ~~~~~~~~~~~~~~~~~99 0.892 Eor 0.901 e 2 Is 6 4 10 12 14 O 16 20 0 a 4 G a 30 12 14 1 3l 20 TIME PERIODS TIME PERIODS o~~~~~~~~~~~~~~~~~. -___________ -_____* h I * ,* 0 , - l: S e 0 0 0 0 2 - - -- ............ . WH; ... 7t. °-I- .............. t 0 U~~~~~~~~~~~~0l is'' 1t'l8'.l'lllni !h, . .F _ _~a * *~~~~~~~~~~~~~~~~~~~~~~t I I~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~1 &J s 0.0 Dynamic Effects of Tarff Reform. km - 0. 10 Dynamic Efects of 1.l Rorm. Im 0.10 On Some Mcr-VeVriables On Foreign Debt RAI 10 RATIO 1.04 Con _-- 3 ewE7ft 0.88~~~~~~~~~~~~~~~~~~~~~~~2 0.92 Taxes5.5 Exports 0.8418 0.u _ _ _ _ _ -- - ----_ _ _ _ _----_- ___ ....__..... ____.. _ _ _ _.___._...._._._....._ __.._____0.95 D Be. . . * 0.* * . * C , , . C. 0 2 4. 6 8 10 12 It 16 58 20 0 2 6 6 8 t0 12 i4 16 IS 20 TIME PERIODS TIME PERIODS 3,P. 18 -I Dynomt Effes of Teart Retorm. gm - 10 Dynamic Effect. of arf Reform, lm s0.10 On Sectorao Investmeni On VGhue-Added RATIO RATIO 5.50 ~~~~~~~~~~~~~~~~~~~~~1.03 1.05 Setvites - - f-_- p ________________ _z 105 co o.n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~-. 5.00…..--.~ o .… ...g - . ftkpdnadoGO UansNoc. ' - . . . W | | | . OS7 * g a C C P C C p C C P C 0 ' * 0 .3 1; 52 ' 156 18 2.) . 4 * 6 10 Ii 14 16 58 20 tI N PERIODS TImE PERIODS Dynamic Efects of Tariff Reform. Im 0. O Dynamic Effects of Tariff Relrnm tm 010 On Employment On Capital Stocks RAIIO RATIO 3.03 ~~~~~~~~~~~~~~~~~~~~~~~1.04 a.02 1.0 3030 serice 10 .00 I------ 3.00- - . . . 0 99 ...,. ,,..,O,_____----- 099 I | * W W z | * | * | W 099 Gsa Uonufor~~~~~~~~~~~~~~~~~~~ …- ~~~~0.98a 0 9 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 0 9 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 0 2 4 6 0 10 n2 34 16 i8 20 0 2 4 e 8 30 12 14 t6 a 20 TIME PERIODS TIlE PERIODS Dynamic Effects of Tanif Refor. tma * 0. 10 Dynamic Effects of Tanr Weform. tm -0 10 On Labor Income On Cpi ta Income RATIO RATIO 3.03 3 03 Seaces 3 2.. ..102 sene- - - - - - - -0 -tvc IP 0== I 5k1 - = 1.01 PrIn 1. 00 ------------ ------------ ------------ ------------ ------------ os9 ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~~~~10 ---------------------------_._ ._------------ 0 989 9 4 t 099 Monu~~~~~~~~~~~~~gc- ~ ~ ~ ~ ~ ~ 09 0 97 0 so .: 4 o .i i., 31 3, 14 '8 o8 '0 4 a 14 3 14 16 38 .'0 1imE PERIODS IIME PERIODS Po #as for an Impot Price Shock Ponliesl for an Import Prie Sbock On ?.otat Investment On Rel Cros Domeatic Product RATgO RATIO 3.20 3.04 1.5 +bb+tniP *.10 PM'\ 3.02 o 4 a to 8 2 1 4 If is 20 a 2 4 4 4 soe I 1 t is to to TIME PERIODS TIME PERIODS Pocies for an kmport Price Sbock Poice for an bnporL Price Sbock On For.tgn Debt On rotal Bxprb RATIO RATIO M ,/ \ . - --o-------- - ------ - ---- F ,,, --- -------- --- ... .. .. .. .. .. .. ... .. .. .. .. .. .. o.e \vs - --_P!!+bb+t . . . . ~-. . 0 . . . . . 0.8 -5 a 2 4 8 8 g0 12 34 of l8 20 0 2 4 * a to 12 14 f IS 20 TIME PERIOOS TIME PERIODS 38 REFERENCES Abel, A.B., and O.J. 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Policy and Research Series, No. 14. 41 A List of Equations A.1 The Intertemporal Consumption and Investment Subscripts for sectors are suppressed in this part for easy reading but the vaiables and parameters are defined for each sector uniess otherwise indicated. A.1.1 Objective Function max j U(C,)e-°dt where (1) U(C ) cl,- -v n n C=IICjt', j=l ~~~~~~~~~~(2) *=1 *=1 dU dU Pi (3) A.1.2 Investment and Tobin's q it =a+ IQT ~~~~~~~~~(4) j- =a +~Q ,tT (I -P ~1bb -tc -DPN,) /(I1-tk) (5) t (It) = [1 - bb - tc - DPNt + e(z,s)JI,PKt (6) Vkt = av°-(1-6.) [Kt]Ip (7) Pv +t' DPNt i -tk,6Tezp[-6T(t - s)]dt (8) DKOt j J ()t k,(t)6" KJexp[-6PT(t - s)]ds (9) O(se) =r (21 (a)2 if (Zt - ) > ° (10) O(z,) = ~. g~' otherwise Vt-DKO, (11) K, ze 5I,K (12) Kg A LIST OF EQUATIONS 42 A.1.3 Dynamic Equations LSa, = Lo,e#' (13) Co tet P (14) t= qfetr + 6R1 - (1 - tIk,)PVtVkt + PKzx20'(z,)J (15) k, = It- 6OK, (16) eTt =,It - 6T KT, (17) lim wq,tK, = 0 (18) lim e'vt = 0 (19) reo U(t) ezp[- J r(a)daJ (20) = '; + ept (21) eps re= i + e- (22) ;>pe'(t)(t) ect = _ (24) A.1.4 Steady-State and Terminal Conditions I., =D + fiR (25) K.# Kos-N Ir?(I + 0.1) = g + r (28) C's i-p _ (27) C,,I v r.8 ' p",' = i, (28) A LIST OF EQUATIONS 43 A.2 The Within-Period CGE Sub-Model The time subscnpts are suppressed in this part but are assumed to exist unless otherwise indicated. A.2.1 Gross Ouput Qi = &,,[Cfj-"'4 + (1- 6)NT"J]-lIP.` (29) V= [ _ 6 _ _N (30) FQQ(1 - tas) = PN.Ni + PVWV (31) A.2.2 Value Added V. _ v,[6v,jL7-Pi + (1-6,,i)RT- (32) Li [ 6,j rki;]/tp (33) PVjV(1 -tv4) = wiLi + r,Ki (34) A.2.3 Material Inputs N1 = min aji (35) n PNi =E aipi (36) j=1 A.2.4 Labor Markets no Li = os II Lot (37) k=1 wiLj = ,wi&Lik (38) k=1 wijLi = f1wiL, (39) Wik= Wk (40) n LDt = F Li, (41) i=1 A.2.5 CET Sale of Domestic Output PE, = pe4(1 +tei)er (42) Qi = ,t[6,1E"'11 + (1 - 6t,)D$"'I1/P' (43) D, = (I -6,6 FPED1 (44) FQ;Q; = PDiDi + PE1Ej (45) A LIST OF EQUATIONS 44 A.2.8 Armington Composite Good PM- =pmn(1 + tm)er (46) Xi = O4[6CjM;7 P + (1 - (47) Afi = [ 6ci PDs] (48) PXiX = PDiD4 + PM4MA (49) A.2.7 Income Flows and Taxes n YH = YL (1-tli) (50) i=l + TRNSer + er REMPl n + EZRyK, - 6T PK, AT,)( -tk,-kss)-P. DI YLi w= L Wk L = upi Li (61) E=1 YKi = PVi V1 - tvi)-YLi (52) n GR tmi Mi pmt er (53) i=l n + EtviPQAQ s=1 n + Etvdi4V, i=l n + >t2 YL, i=l n + t tkd[YK.- 6?PK,AT i=l nh + > th&YH,, n - F tej Ej pei'er i=1 - 'NRSer n GR + erBt = GC, (54) i=l + ierDEBT + GA A LIST OF EQUATIONS 45 A.2.8 Demand n IVZj = EaijNj (55) j=1 17i = v,XQd (56) Gi = _cgQCXN (57) IDi = rat E bjI(I + 0(zt)) (58) j=1 A.2.9 Savings and Investments n INVVESr PKij(l + O(zt)) (59) i=l SAVINGS = G:AV (60) nh + E shh( 1-thh )YHh h=l + E6TPKiKIT d=i + E bk(YK-6TPKiKTj) ,=i A.2.10 Intratemporal Equilibrium Conditions LDo e 5gt (61) Xi=INTI+C,+ W,+ID,+ 61e (62) n n ;pm Mi + itDET _pe Es + REMIT + B (63) i=l i=l SAVINGS rat INVEST (84) B GLOSSARY 46 B Glossary B.1 Parameters B.l.1 Coefficients aij input-output coefficient bij coefficient of the capital composition matrix 66 rate of existing incentives to investment blim foreign lending constraint 6R depreciation rate of real capital 61e old depreciation rate of accounting capital i new depreciation rate of accounting capital y a parameter in the adjustment cost function chi, distribution share of household consumption cgi distribution share of government consumption er nominal exchange rate in the base year, price numeraire g growth rate i a parameter in the adjustment cost function wi wage proportionality factors p rate of consumer time preference vE share of inventories in gross output B.1.2 Shift and share parameters aui shift parameter in the Cobb Douglas aggregation of labor a i shift parameter in the CES function for Q at, shift parameter in the CET function for Q °ti shift parameter in the CES function for V Pk share parameter in the Cobb Douglas function for L 6gi share parameter in the CES function for Q 6, share parameter in the CET function for Q &j share parameter in the CES function for V ps exponent parameter in the CES function for Q p,i exponent parameter in the CET function for Q p,, exponent parameter in the CES function for V B GLOSSARY 47 B.1.3 Saving and tax rates &ah. corporate saving rate shh household saving rate tet rate of new tax credits to investment tej export tax or subsidies rate thi household income tax rate tki tax rate on capital income t4 social security taxes tmn import duty ts4 indirect tax rate tvi value added tax rate B.2 Variables B.2.1 Quantities C, aggregate consumption at time t Ci private consumption of good i Di sales of domestic goods DST7 changes in stocks (final demand) E, exports by sector GCi government consumption of good i Ii investment by sector of destination ID, investment by sector of origin IATJ sales of intermediate goods in good i Ki capital stock in each sector A7i accounting capital in each sector Li aggregate labor in each sector LD, labor demand for each labor category Lok base year labor supply for each labor category LS, labor supply for each labor category Lj, labor by category k in each sector ML, imports by sector N, aggregate material input in each sector qi gross output in each sector V, value added in each sector Vk, marginal product of capital Xi Armington aggregation of domestic and import goods B GLOSSARY 48 B.2.2 Prices pet world export price pm? world import price Pi compoeite price of domestic and import goods PD, price of domestic goods PE4 domestic price of exports PK, price of capital PM, domestie price of imports PN, price of material input KQ, price of gross output PA premium rationing rate PVi price of value added es real exchange rate i; world interest rate q, shadow price of capital QT tax adjusted Tobin's q rt rate of return of assets for asset equilibrium rati rationing rate in investment market rk, gross rate of return pt discount factor wi average wage rate in each sector w4h average wage of labor category k in each sector B.2.3 Values Bg foreign borrowings or capital inflows DES)', outstanding foreign debt at time t DPN, present value of depreciation allowances on a peso of new investment DPOt present value of depreciation allowances on existing accounting asst FSAV foreign savings GXVN total government consumption GR government tax revenues less transfers GMV government savings INVEST total fixed investment J, total investment expenditures, including adjustment cost REMIT foreign remittanes SAVINGS total savings net of change of stocks e(Z,) adjustment cost function TRNS government transfers to households YFH factor income YL, wage bill in each sector YK, gross capital income in each sector YL, wage bill in each sector ERE Working Paper Series Contact TllQ Author f2L or pa,oer WPS717 Does Financial Liberalization Really Jacques Morisset July 1991 S. King-Watson Improve Private Investment in 31047 Developing C(ountries? WPS718 Impact of Investment Policies on Andrea Gubitz July 1991 S. King-Watson German Direct Investment in Developing 31047 Countries: An Empirical Investigation WPS719 HowTradeand Economic Policies Ramon Lopez July 1991 M. Gunasekara Affect Agriculture: A Framework for Ridwan Ali 32261 Analysis Applied to Ianzania and Bjorn Larsen Malawi WPS720 The Outlook for Commercial Bank Ellen Johnson Sirleat July 1991 S. King-Watson Lending to Sub-Saharan Africa Francis Nyirjesy 31047 WPS721 The Demand for Money in Developing Patricio Arrau July 1991 S. King-Watson Countries: Assessing the Role Jos6 De Gregorio 31047 of Financial Innovation Carmen Reinhart Peter Wickham WPS722 Is Rice Becoming an Inferior Good9 Merlinda D. lngco July 1991 P. Kokila Food Demand in the Philippines 33716 WPS723 Improving Women's and Children's Olayinka Abosede July 1991 0. Nadora Nutrition in Sub-Saharan Africa: Judith S. McGuire 31091 An Issues Paper WPS724 Fiscal Issues in Adjustment: Riccardo Faini July 1991 D. Ballantyne An Introduction Jaime de Melo 37947 WPS725 How Structure of Production Indermit S. Gill July 1991 A. Sloan Determines the Demand for Human Shahidur R. Khandker 35108 Capital WPS726 Perspectives on the Design of Anwar Shah July 1991 A. Bhalla Intergovernmental Fiscal Relations 37699 WPS727 The Effects of Debt Subsidies on Mansoor Dailami July 1991 A. Bruce-Konuah Corporate Investment Behavior E. Han Kim 80356 WPS728 Does Better Access to Contracep- Susan Cochrane July 1991 0. Nadora tives Increase their Use? Key Policy Laura Gibney 31091 and Methodological Issues WPS729 Is Export Diversification the Best Ridwan Ali July 1991 M. Gunasekata Way to Achieve Export Growth and Jeffrey Alwang 32260 Stability? A Look at Three African Paul B. Siegel Countries PRE Working Paper Serios Contact :[hK AuthQ for p2aW WPS730 Wage and Employment Policies in Luis A. Riveros July 1991 V Charles Czechoslovakia '3651 WPS731 Efficiency Wage Theory, lIabor Luis A. Riveros July 1991 V. Charles Markets, and Adjustment Lawrence Bouton 33651 WPS732 Stabilization Programs in Eastern Fabrizio Coricelli July 1991 R. Martin Europe: A Comparative Analysis of Roberto de Rezende Rocha 39065 the Polish and Yugoslav Programs of 1990 WFPS733 The Consulting Profession in Syed S. Kirmani July 1991 INUDR Developing Countries: A Strategy for Warren C. Baum 33758 Development WPS734 Curricular Content, Educational Aaron Benavot July 1991 C. Cristobal Expansion, and Economic Growth 33640 WPS735 Traditional Medicine in Sub-Saharan Jocelyn DeJong July 1991 0. Nadora Africa: Its Importance and Potential 31091 Policy Options WPS736 Wages and Employment in the Simon Commander August 1991 0. Del Cid Transition to a Market Economy Fabrizio Coricelli 39050 Karsten Staehr WPS737 External Shocks, Adjustment Delfin S. Go August 1991 A. Bhalla Policies, and Investment: Illustrations 37699 from a Forward-looking CGE Model of the Philippines WPS738 Tax Competition and Tax Ravi Kanbur August 1991 J. Sweeney Coordination: When Countries Michael Keen 31021 Differ in Size WPS739 Managing Financial Risks in Papua Jonathan R. Coleman August 1991 J. Carroll New Guinea: An Optimal External Ying Oian 33715 Debt Portfolio WPS740 The Onchocerciasis Control Program Bernhard H. Liese August 1991 0. Nadora in West Africa: A Long-term John Wilson 31091 Commitment to Success Bruce Benton Douglas Marr WPS741 When Does Rent-Seeking Augment David Tarr August 1991 D. Ballantyne the Benefits of Price and Trade Reform 37947 on Rationed Commodities? Estimates for Automobiles and Color Televisions in Poland