PATE OF RETURN, COST OF CAPITAL AND VALUATION RATIO IN FINNISH MANUFACTURING 1960 - 1979* Heikki Koskenkvld Research Department Bank of Finland May 1981 * Paper to be preserited ReturnConference, at the M.I.T. June19.81. Rate of This paper is revised version of an earlier draft from September 1980 (see references). a CONTENTS page 1 1. Introduction 2. Development of Total Capital, Own Capital and the Rate of Profit 4 2.1. Total Capital and Its Components 4 2.2. Own Capital and Debt Ratios 11 2.3. Profit, Taxes and the Effective Tax Rate 14 3. Development of the Rate of Return on Total Capital and on Own Capital 20 3.1. The Rate of Return on Total Capital 20 3.2. The Rate of Return on Own Capital 29 4. The Rate uf Return to Investors 35 5. The Valuation Ratio and the Cost of Capital 40 6. Determinants of the Rate of Return and the Effective 7. Conclusions Tax Rate 53 62 Footnotes 66 Statistical Appendix 73 List of Symbols 83 References 86 1 1 4 1. INTRODUCTION* The international background of this investigation is the ongoing debate and argument that started in the mid-1970s about the development and possible decline in the rate of return on corporate capital in most western countries. The potential significance of the behaviour of corporate profitability is clear, but its actual development has raised many theoretical and empirical issues. W. Nordhaus laid the ground for this discussion by concluding that in the post-war period (1948 - 1970) the rate of return revealed a downtrend in corporate profitability in the U.S.A.1 Feldstein and Summers (1977), on the other hand, disputed this finding, their conclusion being that "our analysis of these rates of return provides no support for the view that there has been a gradual decline in the rate of return over the post-war period." Malkiel Von Furstenberg and (1977) also doubt the argument for the overall decline in profitability. 3 They emphasize the import- ance of the reduction in real indebtedness on the development of profit and retained earnings. Holland and Myers (1978, 1980) have very carefully analyzed the performance of U.S. nonfinancial corporations since the war by using both rates of return to investors and rates of return on capital.4 They concludE that these corporations have fared poorly since the mid-1960s, but they, too, were unable to find evidence of a long-term downtrend. * The collection of statistical data and the calculations used in this paper were carried out by Ilkka Salonen. Seija Leino typed this paper, and the language was checked by Malcolm Waters. 1. See Footnotes. 14 A 2 In many other countries researchers in this field have found a significant downtrend in corporate profitability over the last decade and especially following the first oil crisis in 1973. Reference can be made here to the studies made in the United Kingdom and Sweden.5 International organizations have also devoted attention to the development and measurement of company profitability in the latter half of the 1970s (OECD, etc.). 6 Against this background the principal objective of this study is the analysis of the performance of the Finnish manufacturing sector in the period 1960 1979. The analysis is restricted to manufacturing companies because of data limitations. The performance of these companies is examined by means of various indicators. Our main emphasis is on the movements in and measurement of rates of return on capital, although we also make some calculations of the returns to investors in these companies. Our second purpose is to analyze the behaviour of capital costs in the manufacturing sector. Finally, we attempt to discover statistically whether profitability has behaved in a trendwise manner. The basic data used in the calculations of this report is taken from official national income accounts, but use is also made of firms' balance sheet data accounts), (book industrial statistics and capital market data. In addition, some self-constructed data is used in the calculations of capital stock figures. The contents of the paper are organized as follows: 3 at 3 In Chapter 2 various estimates of total capital, physical capital and own capital as well as figures for debt-equity ratios are presented. We also discuss the basic formulas for calculating the economic rate of profit, or operating income, and the official (statutory) and effective tax rates for manufacturing industries. Chapter 3 attempts to trace the development of real profitability in manufacturing by developing various estimates of the real rate of return on total and own capital. In Chapter 4 we provide some preliminary estimates of investors rates of return on total and eauity capital. These are used as additional evidence in considering the general performance of the manufacturing sector. Chapter 5 provides an analysis of the development of the cost of capital and the valuation ratio q-variable) in relation to (Tobin's the real rate of return. Finally, in Chapter 6 we perform some simple regression analysis of the determinants of the rate of return and try to discover whether or not there has occurred trendwise behaviour. Similar tests are also carried out for effective tax rates. 4 4 14 2. DEVELOPMENT OF TOTAL CAPITAL, OWN CAPITAL AND THE RATE OF PROFIT 2.1. Total Capital and Its Components The concept and measurement of capital is a compli- cated task both from the theoretical and the empirical point of view, the main problems usually arising in connection with the stock of physical assets, that is, real capital plus inventories. It is generally felt that financial assets can be estimated rather reliably from official statistics. In this paper estimates of total capital in manufacturing have had to be drawn from a variety of statistical sources and earlier Finnish studies. However, we believe that the estimates so obtained are quite reliable, especially for the manufacturing sector. In recent years, various measures of the fixdd capital stock of Finnish manufacturing have been developed. The basic measure used i: this investigation is that of net replacement cost value. The capital stock series is based on an estimate of 5.4 per cent for true economic depreciation. This rate of depreciation is calculated with the aid of fire insurance values for the manufacturing capital stock. The time series for fixed capital stock (in 1975 prices) is constructed by means of the perpetual inventory method, (1) Kt =t + (1-6) Kt- 1 where the depreciation coefficient 6 = 0.054, the initial -alue stands for K (K0 ) is estimated separately and It manufacturing gross investment (1975 prices) 5 statistics. The and is taken from the national income current value of this net capital stock is obtained through multiplying by the price index of investment goods. Figure 1 shows three different estimates of the manufacturing capital stock, all expressed in current prices. The first series is based on the method CP The second time described above and is labelled K C. series, K CP 2 is ie8 that constructed by the recently Central Statistical Office of Finland. It is based on an estimate of 7.8 per cent for true depreciation, which is somewhat higher than in our basic series. The third series consists of fire from the industrial statistics insurance values taken CP (K 3 ). The fourth series presented in Figure 1 is the book value of fixed assets calculated by means of historical cost accounting and accelerated depreciation rules for taxation purposes. It has been obtained from the official balance sheet data of Finnish industry. This data has been published since 1960, and has been called 'enterprise statistics' since 1974. From Figure 1 it can be seen that the fire insurance series exhibits the largesL absolute value of these alternative estimates of the fixed capital stock in Finnish manufacturing. The two capital stock series mainly used in this study are rather close to each other and clearly exceed the book values of fixed assets. The use of Finnish data for the estimation of the current value of inventories raises various problems. These have been analyzed in some other Finnish studies. In Finland, the practice of revaluing inventori'es Figure 1. Various Estimates 1960 - of the Fixed Capital Stock in Finnish Manufacturing 1979, in current prices KCP = net replacement cost value (5.4 per cent depreciation) = net replacement cost value (7.8 per cent depreciation) 1 K K CP 3 KB = fire insurance value = book value of fixed assets FIM billions 150 CD K - 100 101 CP - ... ------ K B 01965 1970 1975 1980 7 according to the so-called FIFO (first-in-first-out) principle is applied in taxation. It is, however, permissible to enter into the accounts certain future inventory expenses; i.e., undervalued. Since 1969, the inventories can be the maximum rate of under- valuation has been 50 per cent of the acquisition cost of inventories. Earlier the maximum rate was 100 per cent. In effect this undervaluation means that nowadays 50 per cent of the value of inventories (at historic cost) can be regarded as expenses when calculating the taxable income. In this way, companies can create "hidden reserves", or tax credits, which can at least to some extent be regarded as comparable to other components of own capital. This question will be discussed in the next section when estimating the own capital of Finnish manufacturing companies. The rationale behind this undervaluation lies partly in the fact that during inflationary periods the FIFO principle operates in such a way that the increase in the value of inventorieE is transferred to sales income and hence becomes taxable income. Undervaluation is designed to at least partially prevent these nominal capital gains being subject to corporate income taxation. It is worth mentioning that during the 1970s companies' profitability levels did not allow full use of undervaluation. (VO ) and 0 CP (VO ). Figure 2 shows the book value of inventories the estimated current value of inventories In addition, Figure 2 shows the value of the financial assets of manufacturing companies. This series has been taken directly from the enterprise statistics (balance sheet data), but can be regarded as reliable Figure 2. Various Estimates of Inventories and Financial Assets in Finnish Manufacturing 1960 - 1979 VOCP = current value of inventories VOB = book value of inventories RO = value of all financial assets net = value of net financial assets RO FIM billions 40 UrOP 30 2- B 10 1965 1970 1975 1980 9 data. The series RO includes all financial assets, that is, cash, all kinds of deposits, accounts receivables and some other financial items. The series shown in Figure 2, assets RO net, is gross second financial less accounts payable and it is regarded as an approximation of financial assets for net working capital purposes. We are now in a position to present our estimates for total capital. The concept of total capital used in this study includes total physical assets, fixed assets capital Thus tota] the stock of (K) and inventories financial assets all i.e., (VO) (RO) (at current prices) is the sum of these three components, (2) + VO TC = K + RO In addition, we employ some other definitions of capital in the rate of return calculations. Total physical capital is defined as (3) + VO TFC =K Figure 3 shows various estimates of total capital. The time series TC CP estimate K1 CP value of K2 , is based on the fixed capital stock whereas 1 (TC B .pi 10 companies.- 2 is based on the Figure 3 also shows the value for total physical capital capital the series TC (TFC) and the book value of total employed by Finnish manufacturing Figure 3. Estimates of Total Capital and Total Physical Capital in Finnish Manufacturing 1960 - TC TC 11 2 1979, in current prices CP = total capital (based on KC = total capital (based on K 2 CP TFC = total physical capital (K1 ) ) C +VO ) TCB = book value of total capital FIM billions 150 100 T( 50 0 1965 1970 1975 1980 11 2.2. Own Capital and Debt Ratios The analysis in the previous section provides the basis for estimating the "true" value of the own capital of Finnish manufacturing companies. In section 2.1 we developed various estimates of the net replace- ment value of total capital and we found that these were much greater than the book value of total capital. A reliable estimate of the value of the total debt of the same companies can be obtained from the official enterprise statistics. The measure of debt capital includes all short- and long-term credits as well as domestic and foreign debt. The difference between the current replacement and book values of total capital is an estimate of the total amount of various manufacturing companies. "hidden reserves" held by It could be argued that part of these reserves belong to own capital and part are due to deferred tax liabilities in the form of tax credits. An extreme view which has been put forward is that all these reserves should be included in the 11 concept of total own capital. Figure 4 shows various estimates of own capital held by manufacturing companies. The lowest value is obtained for an estimate of pure equity capital (E) taken directly from the enterprise statistics. Equity capital forms the basis for the dividend payments of manufacturing corporations. The second measure shown in Figure 4 is the total value of own capital as taken from the enterprise statistics (OC 1 ). In addition to equity capital this concept also includes various "official" reserves and financial transfer and valuation items.12 It can be seen that the share of'these Figure 4. Estimates of Own Capital in Finnish Manufacturing 1960 - 1979, in current prices E = equity capital OC = (book value) total own capital (b'ok value) OC2 = estimated own capital OC = estimated own capital (maximum value) (half of hidden reserves included in own capital) FIM billions 80 0C 60 .OC 40 .00 , oo 0oO /E 20 0 1965 1970 1975 1980 13 "official own capital" has risen con- items in total tinuously, being currently over 50 per cent. The third measure of total own capital (OC) is the basis for most of our calculations in this paper. It represents a compromise between the extreme interpretations of the role of total footnote 11). (see "hidden reserves" We have assumed that one half of these reserves belong to own capital and one half to debt capital in the form of interest-free loans. 1 3 The last measure of total own capital (OC 2 ) is based on the extreme assumption that all "hidden reserves" belong to own capital. The magnitude of these reserves is mainly attributable to inventory undervaluation and accelerated depreciation rules. The size of inventory reserves can be roughly seen from Figure 2 as the difference between VO ~ and VOB. Depreciation charges for tax purposes have on average exceeded true economic depreciation at-replacement cost value. Table 1 shows three different measures of the ratio of debt to own capital. The highest value for this ratio is obtained when own capital includes only the "official" amount as shown in book accounts. This ratio is denoted as B/O C where B is book value. The lowest value ratio results when all in own capital total debt at for debt to own capital "hidden reserves" are included (B/OC 2 ). The mean value for this ratio is obtained when half of the reserves are included in debt (B*/OC). 12 From Table 1 it can be seen that all of these debt ratios have increased in a trendwise manner. There 14 remains, however, a significant difference between the levels of various debt ratios. Table 1. The Ratio of Debt to Own Capital in Finnish Manufacturing 1960 - 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 2.3. 1979 Ratio of debt Ratio of debt to total book value of own to estimated "maximum" value capital of own capital B/OC1 B/OC 1.84 1.88 2.05 2.11 2.26 2.94 2.50 2.72 2.81 2.46 2.73 2.93 2.99 2.70 3.28 3.80 3.91 3.92 3.82 3.57 0.74 0.75 0.79 0.82 0.82 0.84 0.87 0.99. 0.92 0.97 1.02 1.13 1.15 1.15 1.11 1.18 1.23 1.21 1.25 1.11 Ratio of debt plus tax credits to estimated own capital B*/OC 2 1.61 1.62 1.72 1.77 1.82 1.88 1.94 2.16 2.11 2.00 2.13 2.28 2.34 2.26 2.42 2.69 2.76 2.75 2.78 2.51 Profit, Taxes and the Effective Tax Rate In this section the formulas for determining profit and taxes are derived together with estimates by using both national income accounts and enterprise statistics data. We also present the estimates of effective tax rates and holding gains on physical capital stock. The ordinary national income account definition of the value-added in manufacturing production is as follows 15 pQ (4) = W + Deb + IR + 7b A, wher e pQ W = current price value-added production = sum of wage- and social security payments (total labour costs) Deb = economic value of depreciation IR 'b Tr = net interest expenses = gross profit, i.e. profit before taxes The values for the variables pQ and W are taken from the national income accounts data for the manufacturing sector. An estimate of economic depreciation charges is calculated along with the fixed capital stock estimates. The series for net interest expenses (all interest payments minus interest receipts) originate from the enterprise statistics. From the basic formula for value-added production, the variable "profit before taxes" becomes following 7b = pQ - W - Deb - (5) The variables pQ, W IR and IR are the same in all our calculations, but the variable Deb varies according to which depreciation coefficient is used (5.4 or 7.8 per cent, see section 2.1). Operating income (6) (net) is defined as OI = 7a + T + IR where ,a = profit after taxes T = direct corporate taxes (paid) 16 We thus have (7) b =7a + T Table 2 shows the percentage distribution of operating income into its three components. Table 2. The Distribution of Operating Income into Its Components Net profit 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1L79 72.51 71.18 62.12 64.69 64.22 58.45 53.32 52.60 61.67 72.89 72.77 58.93 60.36 63.72 69.79 45.73 32.21 22.12 46.86 57.98 (percentage) Taxes 17.74 17.70 21.43 18.47 17.66 19.26 21.38 18.44 13.64 9.61 8.58 11.02 9.19 8.54 6.46 11.57 15.04 14.02 8.56 8.27 Interest 9.75 11.12 16.45 16.84 18.13 22.29 25.30 28.96 24.69 17.50 18.65 30.06 30.45 27.74 23.75 42.70 52.75 63.85 44.58 33.75 It can be seen from Table 2 that the relative propor- tion of interest expenses has risen continuously reflecting the trendwise increase in the debt-own capital ratio (see Table 1). We next present the estimates of actual and effective tax rates for Finnish manufacturing companies. The actual tax rate is as follows 17 U T TI (8) where T = paid taxes TI = taxable income (profit before taxes) at book value The effective tax rate is T (9) f 7T= thus it is the share of paid company taxes in economic (true) profit before taxes. Table estimates of these tax rates. Table 3. 3 presents 13 Actual and Effective Tax Rates in Finnish Manufacturing Actual tax rate U 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 0.45 0.56 0.60 0.56 0.55 0.56 0.60 0.59 0.55 0.49 0.46 0.50 0.44 0.41 0.43 0.64 0.79 1.52 0.69 0.46 Effective Effective tax rate (based on tax rate (depreciation depreciation coefficient 5.4 per cent) coefficient 7.8 per cent) Uf Uf 0.20 0.20 0.26 0.22 0.22 0.25 0.29 0.26 0.18 0.12 0.11 0.16 0.13 0.12 0.08 0.20 0.32 0.39 0.15 0.12 0.23 0.23 0.31 0.27 0.26 0.31 0.36 0.33 0.22 0.13 0.12 0.19 0.16 0.14 0.10 0.27 0.48 0.76 0.19 0.14 2 18 It can be seen that the effective tax rates are only about half the actual rates. This is due to the fact that taxable income is reduced by accelerated depreciation and inventory undervaluation as compared to the estimates of "true" profit before taxes. In calculating the values of "true" profit in this section we have not taken into account the effect of capital gains or holding gains on existing capital stock. This is done separately here because the role of holding gains on physical capital is a matter of some dispute. The nominal relative holding gain on total physical capital (TFC) is defined as (l+g CUR) (10) 1 + g = (gCON) where CUR = annual rate of increase of the current value of total physical capital (TFC) CON = annual rate of increase of the volume of TFC (1975 prices) Thus the variable g is the annual rate of increase in the implicit price index for total physical capital. 4 Relative real holding gains are measured by the formula (11) g= r (1+cj) (l+gCP) Hence real holding gains are measured relative to the rise in the general price level (gCP = rate of increase in the consumer price index). In Table 4 are shown the percentage nominal and real holding gains. The absolute values of these ficures are given in the Appendix (Table A3) in addition to 19 the estimates for holding gains on fixed capital stock. It can be seen that if real holding gains are zero then operating income as calculated above equals total real income. The role of holding gains will also be discussed in the next section when calculating real and nominal rates of return on total capital. Table 4. Nominal and Real Holding Gains in Finnish Manufacturing 1961 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 - 1979, per cent NHG, per cent RHG, per cent 1.63 3.61 4.74 5.52' 5.60 2.11 6.26 10.44 4.71 8.22 10.25 11.78 19.78 24.60 13.50 10.28 10.56 10.74 9.14 -0.18 -0.82 -0.12 -4.38 0.75 -1.76 1.63 0.80 2.44 5.34 3.53 4.79 8.18 6.55 -3.67 -3.54 -1.85 2.96 1.72 We can observe from Table 4 that percentage nominal holding gains increased rather rapidly in the 1970s compared to the 1960s. Real holding gains were on average almost zero in the 1960s and amounted to less than two per cent on average in the 1970s. Although the relative size of real holding gains seems to be rather low, they have been quite large in absolute terms in some years. The year-to-year variations in holding gain estimates should, however, be regarded with caution because of difficulties in the measurement of the composite price index for the total fixed capital stock. 20 3. DEVELOPMENT OF THE RATE OF RETURN OWN CAPITAL ON TOTAL CAPITAL AND 3.1. The Rate of Return on Total Capital In this section we present the estimates of the real rate of return on total capital for Finnish manufacturing companies in the period 1960 - The 1979. main results are shown in Tables 5 and 6 and in Figures 5 - 7, while some alternative estimates are given in the Appendix. The means and standard deviations for both sets of estimates are presented in Table 7. The nominal rate of return on total capital before taxes is (12) NB RR b _ - + IR + NHG T TC where the variables are measured as described in the previous section. The absolute value of nominal hold- ing gains on total physical capital is obtained by multiplying the current value of TFC by the relative nominal holding gains. The absolute values for NHG are given in the Appendix nominal rate of return 7b in formula (Table A3). (RRNA) The after-tax is obtained by replacing (12) with post-tax profit (7 a). Total capital as well as other concepts of capital used are the averages of the beginning- and end-of-year values of the corresponding-capital measures. When g is the proportional rate of increase in the implicit price index of total physical capital, then NHG = gTC and we get the standard expression for the real rate of return 21 (13) RRB = RRNB- formula for the real rate of return and the equivalent after taxes RA (RR g ). Strictly speaking we should also consider the effect of price changes on the value of financial assets, but this is not taken into account here because we are mainly interested in the value of the appreciation of fixed capital and total physical (13), (12) and capital. From expressions we obtain an equivalent formula for the real rate of return on -total capital (14) RR RB (before taxes) b _ + ±IR C= TC which is the ratio of operating income to total capital. In the formulas (13) that real holding gains are RA formula for RR and (14) it is assumed zero. The equivalent b is obtained by replacing 7 It was pointed out in section 2.3 a with Tr that operating income equals real total income only if real holding gains on capital stock and inventories are zero. This means that the composite price index of this stock value rises at exactly the same rate as prices generally. Including real holding gains (or losses) in the measure of real income gives the second basic formula for the real rate of return (15) RR RB _ = Tb _______ + IR + RHG TC and, taking into account the fact that the absolute value of real holding gains equals g r TC 11), (see equation we obtair also a second formula for the relation- ship between real and nominal rates of return (16) RRRB = RRNB _ 9CP'# -j 22 where gCP. is the rate level of increase in the general price (usually assumed to be the consumer goods price level) .15 In all of the above cases, the real rate of return after taxes RA (RR ) is obtained by deducting taxes actually paid from the estimated profit before taxes to get post-tax profit (see section 2.3). These general principles have been used to calculate the real rate of return on alternative estimates of total capital and total physical capital. In these alternative estimates we have varied the concepts of total assets and the depreciation coefficient on fixed capital stock Table 5. (see Table A4 in the Appendix). Real Rate of Return on Total Capital in Finnish Manufacturing 1961 - 1979 cent, without real holding gains 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 RRRB RR 12.77 9.99 9.95 9.52 8.19 7.31 7.03 8.69 11.82 11.05 7.56 7.69 8.45 10.58 5.89 4.94 4.40 6.45 8.03 10.51 7.85 8.11 7.84 6.61 5.74 5.73 7.50 10.68 10.10 6.73 6.98 7.73 9.90 5.21 4.20 3.79 5.90 7.37 in per 23 Table 6. Real Rate of Return on Total Capital in Finnish Manufacturing 1961 - 1979 in per cent, including real holding gains 1961 1962 1963 1964 1965 1966 1967 1968, 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 RRRB RRRA 12.61 9.28 9.85 5.79 10.35 7.14 8.01 4.11 7.26 4.25 7.10 8.19 12.71 14.65 9.72 10.99 14.89 15.90 2.03 1.18 2.21 8.28 8.80 8.83 5.82 8.37 9.37 13.84 15.59 10.55 11.70 15.61 16.58 2.71 1.93 2.83 8.84 9.47 From Tables 5 and 6 it can be seen that the average effect of real holding gains on the estimates of the real rate of return on total capital is not very large (less than 1 per cent), but that the year-to-year effects are much greater. between the levels of before- and after-tax measures The fairly small difference reflects the fact that the effective rate of on corporate income has been rather low 2.3). These estimates of the "true" total capital are almost twice the rate taxation (see section of return on size of the rate of return on total capital at book-values. Figure 5 shows the development of the real rate of return on total capital (before and after taxes) and of total physical capital (after taxes) including real 24 holding gains. Figure 6 shows the development of the same series without holding gains. Figure 7 shows the effect of real holding gains on the rate of return on total capital after taxes on a year-to-year basis. From these figures fluctuations in the it can be real rate seen that the annual of return on total capital in Finnish manufacturing have been very large. On average, these series seem to reflect very well the general cyclical fluctuations of the manufacturing sector as well as the whole Finnish economy. As is well-known, the year-to-year variations in the GDP of the Finnish economy are among the highest of the OECD countries. In Table 7 we present means for .selected measures of and standard deviations the real rate of return in the Finnish manufacturing sector. Some interesting observations can be made from Table 7. The average real rate of return on total capital or total physical capital before taxes varies between 8.4 and 9.4 per cent. The corresponding range for aftertax figures is somewhat larger. We can thus safely conclude that our measures for real rate of return are rather insensitive to the choice of the estimate for the capital variable. It can also be seen that the standard deviations of estimates including real holding gains are about twice as large as those without. There does not at present seem to be any method for evaluating the reliability of the estimates of real holding gains. However, we are tempted to express some doubts about the year-to-year variations in RHG. The third interesting observation is that the rate of return on total capital measured at book value does not vary very much. This is basically due to the fact that, during periods of weak profit development, Real Rate of Return on Total Capital in Figure 5. 1961 - 1979, in per cent, including real holding gains RRTCB = RRTCA = total capital after taxes RRTFCA = Finnish Manufacturing total capital before taxes total physical capital after taxes RR, % 20 15 i/0, P RRTFQA 20 - \ \RRTICA I,' 0 5| RRTCB A|| 0 1965 Odle 1970 1975 1980 Figure 6. Real Rate of Return on Total Capital in Finnish Manufacturing 1961 - 1979, in per cent, excluding real holding gains RRTCB = total capital before taxes RRTCA = total capital after taxes RRTFCA = total physical capital after taxes RR, % 14 12 10 - - \ RRTFCA RRTCB 2 1965 1970 1975 1980 Figure 7. The Effect of Real Holding Gains on the Real Rate of Return on Total Capital in Finnish Manufacturing RRTCG = rate of return including RHG (after taxes) = rate of return excluding RHG (after taxes) RRTC 1961 - 1979 RR, % 20 15 10 - PRRTCG , RRTC I 5 0P 1965 1970 1975 1980 28 Table 7. Mean Values and Standard Deviations for Various. Concepts of the Rate of Return in Finnish Manufactur- ing, in per cent per year Mean (per cent) Concept of Capital Used (corresponding concepts of profit and other variables have been used) Total capital (including real RRRB holding gains): Total capital RR RA HG): Total capital with Total capital depreciation (including RHG): RRRB (including RHG): RRRA 2.0 8.8 4.5 6.7 3.9 9.7 5.5 8.3 2.5 4.6 0.3 6.3 1.0 (book value): after taxes before taxes 7.3 (excluding RR Total capital 2.2 (including RRR Total capital 8.4 with 7.8 per cent Total physical capital RHG): 4.3 7.8 per cent Total physical capital RHG): 8.3 (excluding real RRRA depreciation 4.3 (excluding real HG): RRRB Total capital 9.4 (including real holding gains): Total- capital Standar Deviation of Series (per cent per year) (book value): 29 net interest expenses have risen sharply both in absolute and relative terms. 3.2. The Rate of Return on Own Capital The rate of return on own capital has been estimated by means of two different methods. The first is based on the ratio of profits to estimated own capital. This calculation is analogous to that of the rate of return on total capital. The basic formula for the rate of return is on own capital (17) where 7 RR R Tr O thus ' is estimated profit (after taxes) and OC is the current value of own capital The results derived by formula as values for the (see section 2.2). (17) can be interpreted "real" rates of return on own capital. The nominal rate of return could in principle be calculated by adding the rate of increase in the general price level to the values given by (17). Table 8 shows the results for selected values of own capital. In section 2.2 we discussed the methodol- ogical questions connected with various concepts of the estimates of own capital (see also footnote 11). 30 Table 8. Estimates of the Rate of Return on Own Capital in Finnish Manufacturing 1961 - 1979, per cent Estimated own capital (OC) includes half of the hidden reserves (i.e. deferred tax Estimated own capital (OC 2) includes Book-value estimate of own capital all hidden reserves liability) 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 (3) RRR (1) RR (2) RR 23.78 16.60 17.69 17.12 13.67 11.35 11.28 16.77 26.24 24.69 14.30 15.37 17.74 24.75 9.60 5.93 3.66 11.38 15.84 10.99 11.64 11.14 8.76 7.23 7.15 10.46 16.7-6 16.08 9.27 9.93 11.56 15.68 5.78 3.51 2.17 6.75 10.13 7.77 6.57 6.61 6.60 7.04 6.14 4.85 5.45 6.37 5.90 4.60 5.06 5.44 5.25 2.50 1.37 -1.50 1.73 5.31 16.90 The estimates of the rate of return on own capital calculated by expression (17) can be regarded as "flow" estimates s'ince they are based solely on the estimated "true" profit account of firms. This procedure does not take into account any holding gains which are accrued to own capital because of a decrease in the real icbtedness of firms. This effect is included in t. estimates of own capital based on the following formula 31 r x TCTCB RR R (18) RROC x B where RR = real rate of return on total capital TC = total r = real rate of interest B = total debt capital This general formula can be shown to lead to the following form R RR c- (19) RR R + B R (RRR-r) The real rate of interest (r) is defined as usual by the expression r = (20) 1 + p where i = nominal rate of interest p = rate of increase in the general price level (taken to be gCP, From formula (19) see formula (11)) it can be seen that the rate of return on own capital exceeds total capital if the the rate of return on latter is greater than the rate of interest.16 In that case, an increase in leverage (B/OC) also tends to increase the return on own capital. The difference between the rate of return estimates of own capital obtained by formulas ( 1+p )B, (17) and (19) is which measures the 17 decrease in the real indebtedness of firms. largely due to the factor 32 Table 9 shows estimates of the rate of return on own capital calculated by formula Table 9. (19). Estimates of the Rate of Return on Own Capital in Finnish Manufacturing 1961 in per cent, as calculated by formula Estimated with capital OC own 1979, (19) Estimated with own capital OC 2 RR C(1) RR C(2) 19.55 14.68 12.02 12.83 16.37 10.02 7.94 8.60 15.99 15.66 15.79 13.26 14 .35 20.09 29.36 21.67 16.80 13.51 12.78 15.01 C 1961 1962 1963 1964 1955 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 - 16.91 18.26 26.84 14.26 10.63 11.96 26 . 93 20.93 21.94 19.90 22.01 32.13 52.44 42.87 32.37 25.81 21.16 24.62 Figure 8 shows the difference between the two methods for calculating the rate of return on own capital. It can be seen that, especially in the 1970s, the higher rate of inflation has markedly increased the real rate of return on own capital. This is mainly because of the low real rate of interest and increasing leverage. The rate of return on own capital also greatly exceeds the rate of return on total capital. Figure 8 shows that during the 1960s these two different measures for the real rate of return on own capital Figure 8. RR (1) 0 RR OC The Effect of Real Indebtedness on the Rate of Return on Own Cap-ital in Finnish Manufacturing 1961 - 1979 rate of return on own capital, formula (17) (1) = rate of return on own capital, formula (19) 60 40 RR 0C 20 \ / ,RR (1 R R RC(1)-RROR(1 000%-RR 0 \ -20.U 1-965 1970 1975 1980 34 (after corporate taxes) were on average almost equal. In the 1970s these two measures differed significantly owing to the decrease in the value of real debt. The decrease in real indebtedness can be partly attributed to own capital and interpreted as representing real capital gains, the counterpart of the real rate of return on total capital being real holding gains. can also see from Table 9 and Figure 8 18 We that the real tate of return on own capital rose sharply in 1974 and 1975 when there was a rapid increase in both nominal debt and prices and when the real interest rate fell to a very low level. Tables 5 and 6 indicate that, after a period when it was at very low levels, the rate of return on total capital started to increase again in 1978 and continued to rise in 1979. From Table 9 it can be seen that the real rate of return on own capital only started to rise in 1979, after having decreased for four successive years in 1975 - 1978. 35 4. RATE OF RETURN TO INVESTORS In. the previous chapter we based the analysis of movements in real profitability on the real rate of return on total and own capital. The calculation of these rates was based on the joint use of national income (balance accounts, industrial statistics and enterprise sheet) data. The rate of return measures can be interpreted as reflecting the attitudes and interests of the companies themselves. In this chapter, we turn to the use of capital market data. The behaviour of the stock market can in principle be assumed to reflect the attitude of the owners of the companies. It is, however, important to emphasize that the capital market does not play a very important role in the financing of operations (investment) by Finnish manu- facturing companies. The share of equity capital in total capital (at book value) was about 10 per cent in the 1970s. However, only part of the total equity capital owned by manufacturing companies was quoted on the stock exchange. In 1978, for example, the nominal value of total equity capital in the manufacturing (FIM). The nominal sector was 8.3 billion marks (taxable) value of equity capital quoted on the stock exchange was 3.0 billion marks, the market value being 4.3 billion marks. The nominal rate of return to investors in companies is calculated by the-formula (21) 1 RI = DIV + IRE + AE MV M 36 where DIV = dividends IRE = interest payments AEM = change in the market value of equity MV = total market value defined as Total market value is MV (22) capital (OC EM + -E) + B + TB where (book value) 0C = total value of own capital E = equity capital B = total TB = total amount of hidden reserves EM = market value of equity capital debt (book value) (book value) (E) The market value of the equity capital of the total manufacturing sector is estimated by the formula (23) where f EM = f x E of market value the ratio is for manufacturing companies to nominal value quoted on the stock exchange. 19 The real rate of return to investors is calculated by the usual formula (24) R RI = RI - gCP where CP = rate of increase in the consumer goods price index 37 Movements in nominal and real rates of return to investors over the period 1961 - 1978 are shown in Table 10. Table 10. Nominal and Real Rates of Return to Investors in Finnish Manufacturing 1961 - 1978, in per cent RI (nominal) 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 0.53 3.76 3.89 2.47 1.52 0.52 2.10 6.29 5.74 6.16 4.61 9.21 8.19 0.43 2.42 1.96 2.85 4.99 Average 3.76 RIR (real) -1.28 -0.70 -0.98 -7.89 -3.29 -3.41 -2.45 -3.28 3.53 3.43 -1.88 2.54 -2.54 -16.51 -15.41 -12.37 -9.80 -2.58 . -4.16 As can be seen, the real rate of return has been negative in most years. It was about -1.5 per cent in the 1960s, but decreased sharply in the latter half of the 1970s. This result is perhaps not very surprising because the real interest rate on ordinary deposits was also negative in- the same period (about -2 per cent). We have also calculated the real rate of return to investors by omitting the total amount of hidden reserves from the market value. The result was by and large similar, although the rates were somewhat higher (-0.3 per cent in the 1960s and -5.7 per cent in the 1970s). 38 The nominal and real rates of return to equity owners were calculated by the formulas (25) REI DIV + AEM EM (26) REIR = REI -CP The results are shown in Table 11. Table 11. Nominal and Real Rates of Return to Equity Owners in Finnish Manufacturing 1961 - 1978, in per cent 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 Average REI (nominal) RER (real) -5.55 11.89 11.98 3.89 -3.42 -13.95 -2.59 33.04 25.10 27.02 15.48 37.19 29.94 -15.08 -2.02 -10.77 ,-4.42 19.83 -7.36 7.43 7.11 -6.46 -8.24 -17.89 -7.14 23.48 22.90 24.29 8.99 30.52 19.21 -32.02 -19.84 -25.10 -17.07 12.27 8.75 0.84 Table 11 shows that the rate of return on equity capital has been much higher than the rate of return on total invested capital (Table 10). It was positive (0.84 per cent) on average over the whole period, whereas the real rate of interest on ordinary deposits 39 was negative on average. From 1961 to 1973 the real rate of return to equity investors averaged about 10 per cent, but in the period 1974 negative. - 1977 it became This was a period of very poor economic performance by the Finnish economy and, as we have seen earlier (Chapter 3), the real rates of return on total and own capital also declined appreciably. In 1978 the real rate of return on equity capital again rose and became positive (12.27 per cent), the real rate of return on total capital and 6). as did also (see Tables 5 Since 1978 the development of the Finnish economy has been very favourable, with GDP rising 7 per cent in 1979 and 5.5 per cent in 1980. To some extent return to investors c h a n g e s in the real rate of show similarities with the move- ments of real profitability, although zhe levels of these two sets of measures of manufacturing performance are very different. We believe, however, that the estimates of investors' rate of return should be regarded as preliminary, and especially the analysis of the development of real profitability in Finnish manufacturing should be based on the real rate of return on total and own capital (Chapter 3). 40 5. THE VALUATION RATIO AND THE COST OF CAPITAL In. this chapter we examine the development of the valuation ratio capital (Tobin's q-variable) and the cost of in Finnish manufacturing in the period 1960 - 1979. The analysis is based on the variables developed in the previous chapters. The valuation ratio is defined as TOBQ (27) MV where MV = market value of the manufacturing sector TC = net replacement value of total capital of the manufacturing sector In Table 12 we present the results with three different estimates of market values. The first estimate of market value is calculated with the aid of formula (22) introduced in the previous of four components: chapter. It consists market value of equity capital, nominal value of other own capital, nominal value of total debt and an estimated value of total hidden reserves. The estimate of Tobin's q-variable employing this concept of market value is denoted as TOBQ1. The second estimate of market value is calculated under the assumption that our basic value for own capital OC (see Chapter 2) follows the development of the ratio of market value to nominal value of equity capital (the f-variable of Chapter 4). We thus have 41 MV2 = OCM + B (28) + TB* where OCM = market value of estimated own capital OC (includes total book value of own capital plus half of the total hidden reserves) B = total debt TB* = estimated value of tax credits (half of the value of total hidden reserves, i.e., deferred tax liability) The series for Tobin's q-variable calculated by means of MV2 is denoted as TOBQ2. The third measure of market value is defined as (29) MV3 = OC +'B where OC M= market value of total book value of own capital In this third measure of MV we have thus assumed that the total book value of own capital (OC1) follows the development of the f-variable. It has further been assumed that "hidden reserves" do not affect the market value. With this latter assumption we wanted to check the effect of "hidden reserves" on the estimates of market value. Tobin's q-variable based on the estimate of MV3 is denoted as TOBQ3. All three estimates of the valuation ratio are based on our basic value for total capital (TCl), which includes the net replacement cost value of fixed capital and inventories as well as financial assets. Estimates of the valuation ratio based on total physica. capital are presented in the Appendix (see Table A7). 42 Table 12. Estimates of the Valuation Ratio Manufacturing 1960 market values MV1 1960 1961 1962 1963 1964 1965 1966 -1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 Avarage 1979, based on - in Finnish MV3 TOBQ1 TOBQ2 TOBQ3 1.18 1.14 1.15 1.14 1.13 1.07 1.07 1.06 1.09 1.10 1.12 1.12 1.18 1.22 1.14 1.12 1.09 1.08 1.09 1.09 1.51 1.40 1.41 1.37 1.36 1.24 1.12 1.04 1.15 1.22 1.30 1.31 1.50 1.74 1.43 1.29 1.15 1.09 1.12 1.18 0.96 0.89 0.90 0.88 0.85 0.72 0.72 0.71 0.73 0.82 0.87 0.89 1.01 1.21 0.92 0.83 0.77 0.74 0.77 0.76 1.12 1.29 0.85 Table 12 shows that the movements in the estimates of Tobin's q-variable conform rather well with the general pattern of business cycles in Finnish manufacturing. The highest value for the q-variable is achieved in 1973, one year earlier than the peak for real profitability. There also seems to have been an upward turn in 1978 as in the various measures of the real rate of return. The level of the valuation ratio is, however, rather sensitive to the choice of the measure for market value. As the different concepts of market value involve rather complicated issues concerning the definition of market values for residual own capital (OC -E) and for tax credits (TB*), we should pay 43 attention primarily to' the. c h a n g e s in the q- variables (marginal q). Figure 9 shows the development of TOBQ variables in the period 1960 - 1979, while Figure 10 shows the development of TOBQ2 and the real rate of return on total capital (before taxes) over the same period. Figure 10 indicates that changes in the q-variable and the real rate of return have been rather similar during the whole period. It can further be noticed that the recovery of the manufacturing sector after its very poor performance in the latter half of the 1970s has been much better in terms of real profitability (RRR than in terms of the valuation ratio. We next turn to the analysis of the behaviour of the cost of capital (discount rate) in Finnish manu- facturing in the period 1961 - 1979. Basic financial theory shows that the market value of a company equals the capitalized value of the long-run income from present assets (Y/p) plus the present value of future growth opportunities (PVGO).21 Market value is hence defined as (30) Income (31) MV = p + PVGO (earnings) are defined by the expression Y = RR x TC where RR = rate of return TC = total capital Neglecting the PVGO term, we get the following formula for Tobin's q-variable Figure 9. Valuation Ratio in Finnish Manufacturing 1960 - 1979 q-variable 1.75 d9M 1.50\ *, d S * 1.00 1.25 1-. 0o0 A 0 .75 0.50 1965 1970 1975 1980 Figure 10. Valuation Ratio and Real Rate of Return on Total Capital in Finnish Manufacturing 1960 - 1979 TOBQ2 RR 1.8 20 1.6 15 1.4 10 1.2 5 1.0 0 1965 1970 1975 198 0 46 q= (32) PR which for the cost of capital gives 2 2 p = RR (33) q In Table 13 are shown the estimates of the real cost of capital in the case where the real rate of return (RRR) includes real holding gains on total physical capital. As for the real rate of return the values are before corporate taxes, the real cost of capital estimates are a pre-tax series. Measures of the posttax real cost of capital are provided in the Appendix (see Tables A8 - A9). The three estimates of the real cost of capital are calculated by means of the corresponding estimates of the valuation ratio TOBQ3). (TOBQ1- Table 13 also shows the real interest rate (average 'ending rate). Table 13. Estimates of the Real Cost of Capital and the Real Rate of Interest in Finnish Manufacturing 1961 - 1979, in per cent, including real holding gains Pi P 2 p3 r 9.03 6.58 7.22 4.26 7.11 5.19 8.04 8.16 11.39 12.02 8.08 7.78 8.99 11.57 2.11 1.67 2.59 7.86 8.06 14.13 10.35 11.17 6.80 12.28 8.10 11.87 12.87 16.86 18.03 11.81 11.55 12.94 17.97 3.25 2.49 3.84 11.47 12.39 8.41 7.25 11.06 0.50 Standard devi'-ation 3.71 3.26 4.50 .3.08 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 Average 11.06 8.10 8.61 5.11 8.27 5.43 7.88 8.61 12.61 13.91 9.41 9.90 12.77 14.53 2.41 1.76 2.62 8.11 8.70 5.09 2.46 2.17 -2.81 2.53 3.46 2.87 -1.70 5.38 4.90 2.11 1.41 -1.60 -6.07 -6.62 -3.67 -2.36 0.88 1.14 47 Table 13 shows that the movements in the real cost of capital follow closely the development of real profitability because there is more variability in the real rate of return than in the q-variables. It can also be seen that the real rate of interest is on average much lower than the real cost of capital. This is partly due to the fact that the real rate of return on own capital is on average much higher than the real rate of return on total capital (see sections 3.1 and 3.2). Table 14 shows the estimates of the real cost of capital in the case where the real rate of return on total capital excludes real holding gains. Table 14. Estimates of the Real Cost of Capital Finnish Manufacturing 1961 - 1979, cent, excluding real holding gains P2 pl p3 11.19 8.72 8.70 8.40 7.66 6.82 6.60 7.98 10.76 9.86 6.74 6.51 6.91 9.28 5.24 4.52 4.08 5.92 7.38 9.14 7.08 7.29 7.00 6.60 6.52 6.74 7.57 9.72 8.52 5.79 5.11 4.86 7.38 4.58 4.29 4.03 5.73 6.83 14.31 11.14 11.28 11.18 11.39 10.18 9.95 11.93 14.39 12.78 8.46 7.59 7.00 11.47 7.07 6.39 5.97 8.37 10.51 7.54 Average Standard deviation 1.94 6.56 1.58 10.07 2.53 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 in in per 48 From Table 14 it can be seen that changes in the cost of capital real (excluding RHG) are very similar to the P-variable which includes RHG. The most noticeable difference between these two series for the cost of capital is the much lower standard deviation in the case where real holding gains are excluded. Figures 11 and 12 show the development of the real cost of capital (before taxes) with and without real holding gains. In the mid-1970s the real cost of capital fall to a rather low level, but it has been rising again since 1978. There seems to be some indica- tion of a declining trend in the cost of capital without RHG, but no trend in the measure which includes RHG. Figure 13 shows real cost of capital after the development of the corporate taxes. We could argue that from the point of view of investment behaviour what matters is the behaviour of real profitability relative to real capital costs. The average real rate of return on total capital in Finnish manu- facturing in the whole period 1961 per cent 1979 was (including RHG) and 7.3 per cent 8.3 (excluding RHG) after corporate taxes. The average values for the real cost of capital measure same, i.e., P1 are almost the 8.4 per cent and 7.5 per cent, respectively. Because a lower value for P would imply a capital shortage, it seems reasonable to state that "an equilibrium situation" has existed in this sense in the manufacturing sector. It also seems justified to assume that the availability of or possibility to acquire tax credits which are non-interest bearing has been rather important in this respect. During the period of very weak performance by the Finnish economy (1976 - 1978), real profitability Figure 11. Real Cost of Capital in Finnish Manufacturing 1961 - 1979, in per cent, including real holding gains and before corporate taxes 20 15 10 5 0 1965 1970 1975 1980 Figjure 12. Real Cost of Capital in Finnish Manufacturing 1961 - 1979, in per cent, excluding real holding gains and before corporate taxes 15. 0 12.5 2 %4 10.0 '4 % ' ON \I% I0 c> 5.0 2.5 1965 1970 1975 1980 Figure 1-3. Real Cost of Capital in Finnish Manufacturing 1961 - 1979,; in per cent, including real holding gains and after corporate taxes 20 15 I I 10 10 5 14 - 0 1965 1970 1975 1980 52 declined proportionally more than the real cost of capital. It is possible that this behaviour contributed to the sharp decline in manufacturing investment during those years. It should, emphasized that the development of however, be the cost of capital relative to real profitability is not enough to determine the behaviour of real investment outlays. Most important in this respect is the behaviour of real profitability as measured by the real rate of return on total, capital (RRR) relative to the real user cost of fixed capital stock. The real cost of capital only measures the capital costs as regards the use of financial capital, but not the cost of real capital invested by the companies. The analysis of the development of user cost in Finnish manufacturing is, however, beyond the scope of this investigation. 53 6. OF THE RATE OF DETERMINANTS RETURN AND THE EFFECTIVE TAX RATE In this chapter we perform some statistical tests in order to discover whether there has been trendwise behaviour in the real rate of return on total and own capital as well as in the effective tax rate. This is done by means of standard regression analysis of the determinants of the rate of return and the effective tax rate. The aim is not a thoroughgoing analysis of the factors affecting the behaviour of these explanatory variables because we think this would be rather difficult using the single equation method. It can be assumed that both the rate of return and the effective tax rate depend upon the development of various price and cost factors as well as economic policy variables. We shall try to capture the effect of the general business fluctuations by two in the manufacturing sector variables, namely the annual percentage chance in the GDP of this sector and the rate of capacity utiliza- tion in the whole economy.23 In addition to a trend variable (time), we also use the rate of price changes, which can take the form of different price indexes. Our hypothesis is that the price variable might reflect to a large extent the impact of inflation on effective corporation income tax rates. It could also be argued that the inflation rate takes into account the impact of holding gains in the case of the return on total capital and capital gains (decrease in the real value of debt) in the case of own capital. We have, however, also directly experimented with the tax rate variable as an independent 54 variable. Finally, similar models are tried with the effective tax rate as the dependent variable. Table 15 shows the results for the real rate of return on total capital before (RR ) (RRRB) and after taxes excluding real holding gains. Table 16 shows the results for the rate of return including real holding gains. The models are estimated by the ordinary least squares method. Tables 15 and 16 show that our equations explaining RR are rather effective but crude. Profitability responds to more than just inflation and the growth of GDP or capacity utilization. This can be interpreted from the rather low D-W statistics. Table 15 reveals almost uniformally that the real rate of return on total capital has behaved in a trendwise manner downwards, as inspection of Figure 6 would have (p. 27). led us to expect Both the production and the CU variables seem to capture equally well the general business fluctuations. Neither of the inflation rate variables proves to be significant. An interesting fact emerging from Table 16 in compariso with the results of Table 15 is that there does not seem to be any time trend in.real profitability if real holding gains are included in the rate of return measure. In this respect the role of capital gains (or holding gains) is again rather crucial for our results (see also Figure 5). Capacity utilization now seems to capture the cyclical variations a little better than the change in GDP. Generally there is not much evidence of a significant price effect, although the investment goods price variable has a positive effect in two equations (2a and 2b). Table 15. Equation No. Determinants of the Real Rate of Return on Total Capital in Finnish Manufacturing 1961 - 1979, RR excluding real holding gains Independent variables Dependent variable Trend Production1 CU2 Inflation/ CP la RR RB lb RR 2a - RRRB D-W Inflation/ 4 3 IP 0.26 (3.85) 0.12 (1.22) 0.70 1.50 0. 37 0.13 0.62 1.50 (2.19) (3.94) (1.29) -0.24 (3.90) 0.31 0.72 1.50 (4.27) 0.11 (1.71) 0.31 (4.50) 0.12 (2.07) 0.67 1.63 -0.24 (3.43) -0.16 2b RR -0.16 (*2.62) 3a RRRB -0.15 (1.94) 35.94 (3.18) -0.05 (0.53) 0.64 1.27 3b RR -0.06 -0.04 (0.46) 0.59 1.34 (0.76) 39.34 (3.66) 4a RRRB -0.14 (1.80) 40.38 (3.28) -0.04 (0.56) 0.64 1.27 4b RRRA -0.05 42.81 (3.65) -0.03 (0.45) 0.59 1.34 (0.70) Note: t statistics appear in parentheses under the coefficients. 1. Annual percentage change in real GDP of manufacturing sector. 2. Rate of capacity utilization. 3. 4. Annual percentage change in consumer price index. Annual percentage change in investment goods price index. Table 16. Determinants of 1961 Equation No. 1979, Independent variables 4b IP D-W - Production -0.06 0.10 (0.37) 0.44 1.61 (0.30) 0.70 (2.87) RR RA 0.03 (0.16) 0.71 (2.84) 0.11 (0.39) 0.42 1.57 RRRB -0.20 0.71 (4.58) 0.66 2.31 (3.06) 0.71 (4.57) 0.42 (3.16) 0.67 2.32 RR -0.11 (0. 84) 3b CU Trend (1.48) 2b' Finnish Manufacturing RR including real holding gains Dependent variable RRRB 2a the Real Rate of Return on Total Capital in CP 0.41 RRRB 0.16 (1.15) 102.85 (4.91) -0.18 (1.05) 0.67 1.86 RR RA 0.16 (1.04) 108.37 (4.62) -0.17 (1.01) 0.67 1.90 RRRB 0.15 (1.13) 104.11 (4.32) 0.04 (0.61) 0.66 1.80 RRRA 0.16 (1.04) 108.37 (4.62) 0.03 (0.25) 0.65 1.81 LU, CT) Note: see Table 15. 57 the GDP As a general remark we can state that variable accounts for about 40 - (or CU) 50 per cent of the explanation and the trend variable for about 30 per cent in the models of Table 15. The equivalent percentages in Table 16 are 50 - 60 and 10 - 2-0, respectively. We also carried out some tests with the effective tax rate as an independent variable. It proved to be significantly negative and took the role of GDP (or as a measure of general business fluctuations. CU) This can be interpreted to mean that the effective tax rate behaves in a countercyclical manner. This latter aspect was tested with a direct model of the effective tax rate. The result can be seen from the following equation: UFl = 2.17 - 0.006TREND - 1.98 CU (5.66) (2.56) (5.09) R = 0.63 D-W = 1.81 The explanatory variable was UFl (see Table 3, Chapter 2) and the independent variables are as in Table 15. The estimation period was 1961 - 1979. This equation shows that there is a downtrend in the effective tax rate and that UF varies countercyclically (see also Table 3, p. 17). Finally, we used regression methods to examine the determinants of the real rate of return on own capital. The dependent variables are those constructed in Chapter 3 (section 3.2). The results for the real rate of return calculated by formula Table 17. (17) are shown in It should be remembered that this formula does not take into account the effect of capital gains 58 for the rate of return on own capital. Capital gains (19), are taken into account by formula an-increase in leverage in which case (debt-equity ratio) raises the rate of return on own capital if the rate of return on total capital exceeds the real rate of interest. The results produced by formula R (19) with RROC as an ex- planatory variable are given in Table 18. Table 17 R shows some evidence of a downtrend in RR 0 , although the trend factor is not significant in all the equations. Changes in the production and the capacity utilization variables seem to reflect equally well business variations, and the inflation rate is not significant. We also tried the other price variable used in Tables 15 and 16, but it also proved not to be uniformally significant. Table 18 shows that the trend variable is either insignificant or shows some sign of uptrend, contrary to the results of Table 17 with RR variables. Capac-iy utilization seems to better reflect general business conditions than the production variable. The most interesting observation is that the inflation rate now has a positive effect on the real rate of return on own capital. This effect is especially strong if the price variable is the price index used in the calculation of holding gains. Thus it seems likely that the inflation rate reflects the effect of real capital gains due to the decline in the value of the real debt burden of the manufacturing sector. The RROC variables used in the equations of Table 18 were calculated by means of the real rate of return on total capital including real holding gains formula (19)). (see Similar models were also tested in the Table 17. Determinants of the Real Rate of Return on Own Capital in Finnish Manufacturing 1961 - 1973, RR0 estimated by formula (17), Equation No' Independent variables Dependent variablea Trend 0 (1) -0.44 (1.96) RRR (1) 0 -0.13 (0.46) 3 RRR(2) -0.33 (2.23) 4 RR -0.11 (1.76) RR 2 (2) see Table 8 Productionb CUc D-W Inflationd 1.19 (4.12) 131.68 (4.03) 0.77 (4..08) 87.96 (4.27) 0.45 (1.41) 0.62 1.60 -0.10 0.60 1.42 0.28 (1.39) 0.63 1.54 -0.03 (0.90) 0.65 1.41 (0.40) Note: a. In the RR (1) variable own capital includes one half of the "hidden reserves", in the RR 0 (2) measure it includes all of them. b. Annual percentage change in real GDP of manufacturing sector. c. Rate of capacity utilization (see Table 15). d. Annual percentage change in the consumer price index. Table 18. Determinants of the Real Rate of Return on Own Capital in Finnish Manufacturing 1961 - Equation No. 1979, Dependent variable 1 RR C(1) 2 RR OC (1) OC. 3 RR RC(2) 4 5 RR (2) a Note: RROC estimated by formula RROc(2) see Table 17. (19), see Table 9 Independent variables Trend 0.40 (0.65) Production 2.15 (2.67) 334.58 (5.00) 1.10 (2.42) 0.21 (0.52) CU 1.41 (2.68) Inflation D-W 2.44 (2.75) 0.61 1.58 1.62 (3.01) 0.75 1.95 1.16 (2.11) 0.50 1.50 223.80 (5.29) 0.63 (1.86) 0.70 1.91 (2.34) 0.05 (0.21) 148.31 (4.02). 2.31 (8.80) 0.94 1.51 0.67 61 case where real holding gains were excluded. The results conformed with those of Table 18. With respect to declining trends in the real rate of return on own capital, we can rather safely conclude that there is no trend. 62 7. CONCLUSIONS Our principal objective was to analyze the development of real profitability in the Finnish manufacturing sector in the period 1960 - 1979. Various measures of the real rate of return were used for this purpose. In addition, a variety of factors which are closely linked to the rate of return were examined and finally we attempted to discover the basic determinants of the rate of return. We shall comment briefly here on the main results of this study. (1) The debt ratios (debt to own capital ratios) have risen in a trendwise manner during the period 1960 - 1979. The level of this ratio, however, largely depends upon the measure of own capital used. (2) The effective tax rate has experienced a downtrend and it also seems to vary in a countercyclical way. This rate has been less than 20 per cent in the 1970s, whereas the statutory corporate income tax rate has been about 60 per cent. (3) Real profitability as measured by the real rate of return on total capital at replacement cost value has been at a rather high level during the whole period. It, however, declined considerably after the mid-1970s, but has risen again in.1978 1979. The real rate of return before taxes has been on average about 8 - 9 per cent and the post-tax rate about one percentage point 63 lower. This small difference is due to the low effective tax rate. On average, real holding gains are of little importance for the level of real profitability, but they have quite a substantial effect on the year-to-year fluctuations in the real rate of return. Including real holding gains in the measures of the real rate of return increases the variability of this rate con- siderably. The role of real holding gains is also rather crucial for the trend behaviour of the rate of return. Without real holding gains, there is some evidence of a downtrend, whereas there is no trend in the real rate of return on total capital when they are included. (4) The real rate of return on own capital has on average been at a much higher level than the corresponding rate for total capital. Capital gains on own capital are the result of a decrease in real indebtedness. This effect has been very impurtant in the 1970s, in particular, and it has prevented the real rate of return from declining in a trendwise manner. The real rate of return to investors in the (5) manufacturing sector has been negative on average, and it has also exhibited marked annual variations. The real rate of return . to equity investors in the period 1961 1973 was about as high as the real rate of 64 return on total capital, but it has declined considerably in the latter half of the 1970s. Even so, we do not believe that the measures of investors' rate of return are a very reliable indicator of real profitability. (6) The average valuation ratio (Tobin's q- variable) has reflected quite well the general business fluctuations in the manufacturing sector. The variations in this ratio have been smaller than those of real profitability. The estimates of the q-variable are rather sensitive to the measure of market value employed. Our estimates of the real cost of capital have on average been about the same as the real rate of return. The fluctuations in the real cost of capital follow closely the real rate of return. The real rate of interest has been much lower than the real cost of capital. (7) Annual changes in the real rates of return on total and own capital can be explained quite satisfactorily by changes in GDP or by capacity utilization. There is also some evidence that the rate of inflation has had a positive impact on the rate of return. The inflation rate probably captures the effect of holding or capital gains on the rate of return. It should, however, be emphasized that our analysis has been of partial equilibrium character and rather tentative in this respect. In particular, we have not taken into account 65 the effect of decreasing price competitiveness on the manufacturing sector, which relies heavily on foreign demand (exports). As an overall conclusion we may say that the performance of Finnish manufacturing companies was rather good in the period 1961 - 1979, at least in light of the development of real profitability. The annual fluctuations in the real rate of return have, however, been very large and this may have also exacerbated the otherwise severe business cycle problems of the Finnish economy. Book values do not constitute a reliable basis for the analysis of the development of real profitability. Current replacement cost values of total capital and the equivalent measures of real income (profit) are necessarv for this kind of analysis. 66 FOOTNOTES (1974) in references. 1. See W. Nordhaus 2. See Feldstein and Summers 3. See von Furstenberg and Malkiel 4. See Holland and Myers 5. (1978) and 'The Bank of England has, various (1977), p. 225. (1977). (1980). since the mid-1970s, published articles on company profitability in its Quarterly Bulletin. Of the Swedish studies on profitability, we can mention especially those by the IUI (The Industrial Institute for Economic and Sosical Research); for 1979, p. 204 - example, 210. "Att vdlja 80-tal", See references. (1979) in references. 6. See, for example, T.P. Hill 7. The calculation of this capital stock described in Koskenkyl. 8. Stockholm (1979), series is see references. This series is published at current and fixed prices (1975) for the years 1965 - 1977. We have extended this series forwards and backwards by using a constant depreciation coefficient (7.8 per cent annually) which was estimated from the capital stock series by using gross investment data. 9. See especially the studies by S. Salo Ylti-Anttila (1977) and P. (1980) in references. We have used the book value of inventories as the basic series and converted this to the corrected value by using the undervaluation percentages shown in Yla-Anttila!'s. 67 study. The series thus obtained is interpreted as the current value of inventories. The volume version of thi: series is obtained by using the price index for stocks constructed by Salo and calculated since 1977 by means of the price index of value-added production. It should be mentioned that the ratio of total sales (gross) to the corrected value of inventories was nearly three in the 1970s. This means that the velocity of inventories has been rather high. We can that at the end of each year the value of thus assume inventories resembles that of the current value of new products and raw materials. 10. The notion "basic series" usually refers here to the estimate of total capital based on the fixed capital CP stock series K1 11. This extreme position has been taken by, for example, the IUI in its profitability calculations of own capital, see references "Att vdlja This procedure produces the 80-tal", p.- 207. "maximum value" of an estimate of own capital. In the calculations of the rate of return on own capital, the numerator should in this case include an estimate of the value of profit after taxes. If, however, part (or all) of the "hidden reserves" are regarded as interest-free tax credits, then theoretically the correct way to measure the rate of return on total capital and on own capital (before taxes) would be to include some present value esti- mate of future tax payments in the definition of the numerator. This is, however, rather difficult to do, and hence the interpretation of the role of these reserves usually only leads to various estimates of total own capital and thereby directly affects the levels of the rate of return calculations for own capital. The denominator of the measures for the rate 68 of return on total capital is, however, unaffected by the interpretation of the role of these reserves. The method of using the corporate tax rate multiplied by total hidden reserves as a measure of tax credits has been used by Valvanne' and Lassila (1965, references), and also in the Bank of England studies 12. (1981). This "residual" part of balance sheet own capital includes such items as reserves for bad debts and guarantees, reserve funds, investment funds, other funds and various valuation items. It is interesting to note that the share of total own capital in total capital (at book values) was, in the 1930s, over 50 per cent in a rather representative sample of Finnish manufacturing companies (see references A.E. Tudeer, 1938). 13. For Finnish corporations, the statutory income tax 43 per cent in the 1970s, rate in state taxation was while the local and church taxes amounted to about 17 per cent. Thus, the total tax rate was about 60 per cent. In principle, this would mean that the share of tax credits should be somewhat higher than that of own capital. Because the actual tax rates (the ratio of paid taxes to taxable income) have varied around 50 per cent, we have used this "half-half" assumption. It should be noticed that up to the year 1968 there was also a wealth tax on companies' net property. The actual tax rate presented in Table 3 takes into account both the corporate income taxes and wealth taxes before 1968. It' There was a temporary wealth tax also in 1976. should also be mentioned that since 1969 corporate income taxation has been based on a split-rate principle meaning that retained and distributed earnings are taxed on a different basis. 69 14. The same procedure has also been used by Holland and Myers (1978) . They conclude, however, that on average real holding gains are zero in the U.S. non-financial corporation sector. In section 2.1 we described the calculation of the volumes of fixed capital stock and inventories. 15. Strictly speaking relative real holding gains are g = 1 + g CP *we have used the general approximation, gr In this case, the expression for RR R RR =T 71b + IR + R is rC =9 CP' (g-gCP)TC TC which gives the result of 16. (16), In deriving formula (see formula 11). Formula (16). (19) can be shown to be equivalent to the following expression (19)' R RRO = r + R (RR -r) TC The effects of various factors on the rate of return on own capital in these formulas have been analyzed in Finland by K. Alho (1980). The results for the Swedish manufacturing industry have been presented by the IUI (Att vdlja 80-tal, p. 207 - 208). In the U.S.A., the effect of a decrease in real indebtedness has been analyzed and emphasized by von Furstenberg and Malkiel (1977). 17. See references von Furstenberg and Malkiel Felstein and Summers (1977). (1977), 70 18. In this paper we have only calculated the rate of return on own capital after corporate taxes. The same concept, but before company taxes, could be estimated just as well by adding paid taxes to principle our measure RR the numerator. In 8 is a rather 0 (2) in Table general approximation to the pre-tax and post-tax rate of return on own capital, if in the former case taxes are included in the numerator. In the post-tax case the problematic question is whether, apart from the paid taxes, some estimate of tax accruals (future) should also be deducted from the numerator. An estimate of contingent tax liability (tax accruals due to deferred taxation) has been calculated in the U.K. (see Fleming et al., studies 1976 and Williams, 1981). They have also estimated the deferred taxation by multiplying the difference between replacement and book values of fixed capital stock by the corporate income tax rate. 19. The series for market and nominal values of the equity capital of industrial companies quoted on the stock exchange have been provided by Kim Lindstrbm Bank of Finland). that the ratio f exchange (Union When cal-culating EM we have assumed for companies quoted on the stock approximates of all the behaviour manufactur- ing companies. It has further been assumed that the nominal values of residual own capital (OC -E) and (B) are equivalent to their market values. The debt components of OC -E are described in footnote 12. a very small proportion of debt is market in Finland. The total as' the difference between total quoted on the stock amount of TB is estimated capital cost and the book value of total capital 2). It Only at replacement (see Chapter could be argued that the residual component of own capital and that part of the hidden reserves which 71 can be attributed to own capital also have market values similar to equity capital. This approach has been used when calculating the Tobin q-variables in 5. Chapter 20. K. (1980) has estimated the real rate of return Alho taxes) for indus- (before personal to equity owners trial companies to be 11.1 per cent in the period 1960 - 1973 and 3.9 per cent years 1974 - 1978) for the period 1960 - references, Alho, p. 21. (negative values for 1979. See 114. (1978) and See references, Holland and Myers (1980). It can be assumed that the effect of the growth factor (PVGO) might be rather important in a growing and (or sector). profitable firm reliable estimates for value the present If growth possibilities. However, we have no this of future remains factor constant, then our reasures of the cost of capital can be regarded as reliable estimates for changes in the discount factor. 22. It is difficult to separate the effects of RR and P on the q-variable, because we lack a reliable direct estimate of p. With formula (33) we can, however, obtain a rough measure of the cost of capital. In (33) effect expression operating income means that p is the ratio of (01) to market value. This ratio can be thought of as a "generalized earnings-price" ratio. MV is an approximation for "price" and real operating income is an approximation for "earnings". There remains, however, the question of whether real operat- ing income should also be included (or excluded) in real holding gains. Both approaches have been tested here. 72 In effect this method for calculating the real cost of implies capital that the cost of capital is a weighted average of real rates of return on own capital, debt capital and deferred tax liability. The weights are the proportional shares of these components in the total market value. We could have alternatively calculated other estimates of the cost of capital by making various assumptions about these proportional shares. 23. We could not test the effect of capacity utilization in the manufacturing sector, because this measure was not available up to the year 1979. An estimate of capacity utilization in the whole economy has been constructed by Ilkka Salonen of the Bank of Finland's Research Department. 73 STATISTICAL APPENDIX In this Appendix we tabulate the estimates of some basic variables used in the calculations of rate of return and the related figures. The series presented here are based on various data sources, national income accounts, industrial statistics, enterDrise data (profit and loss and balance sheet data), financial market statistics and capital market data. All of the series presented here are concerned with Finnish manufacturing in the period 1961 (or 1960 - 1979). 1979 74 Table Al Various estimates of total capital in Finnish manu- facturing 1961 - 1979, FIM millions The series are the averages of start and end of year values. net replacement cost value of total capital (depreciation coefficient 5.4 per cent TCl 1961 1962 1963 1964 1965 1966 net replacement cost value of total capital (depreciation coefficient 7.8 per cent) TC2 book value of total capital TCB 1310", 32 12229.25 1 7)-y 14592.04 16039.05 17907.32 10522.73 11384.23 1168.62 12991.17 14372.82 ' 1 60 .15+22 8526.16 9503.01 2 20145.06 19741 . 29 12733. 1967 1968 1969 1970 1971 1972 22030.69 21413.10 24808.79 23428. 07 33257.26 23901.02 39553.48 46206.03 1973 55662.33 1974 72845.24 1975 1976 1977 91631 . 74 105270 .02 37357.08 43301 .23 51798.95 67526.00 84533.42 9639 .53 106597. 90 11480 1 .85 14701.1, 16484, Z5 19112.02 23011.43 27792.49 1978 1979 117458 .28 127372 .6 2 1404234 27183.12 31610.78 126218.26 32911.89 40247.39 51345.94 62676.96 72474. 17 31135 .31 96450.44 75 Table A2 Estimates of operating income in Finnish manufacturing 1960 - 1979, FIM millions operating income based on the 5.4 per cent depreciation coefficient OIl 1960 1961 1962 1332.61 1492.09 1298.07 1963 1430.25 1964 1965 1966 1525.14 1432.40 1471.73 1548.96 2154.67 3359.01 3675.60 2989,81 3553.73 4702.99 7710.53 ,.69 5401 5198.76 5170.96 8214.03 11276.33 1967 1963 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 based on the 7.8 per cent deprecia- tion coefficient 012 1164.94 1311.50 1104.68 1229.31 1316.79 1257.80 1237.14 1304.29 1881.51 3075.49 3350.11 2612.20 3119.21 4197.54 7065.11 4639.20 4358.25 4261.17 7337.92 10356.76 76 Table A3 Nominal and real holding gains in Finnish manufacturing 1961 - 1979, nominal holding gains on total physical capital 1564 1965 1966 1970 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 nominal holding gains on fixed capital stock real holding gains on total physical capital NHG2 RHG1l 166.46 497. 61 -18.12 407.07 576.45 751 .87 872.65 358 .82 1151.57 22 2. C: 1110.15 2 3231.24 3435.24 4554.33 9641.99 16412. 16 10729.83 9199.70 749 .37 -924 15 -14.05 -597.56 116.34 -299.96 299.97 170. 16 576.75 1510.5? 1134.09 1852.97 3985.27 4367.58 NHG1 1961 1962 1963 FIMI million 10524.21 11047.91 10690.28 702.75 660.70 991-.83 544. 34 836.30 1800.96 824.62 2302.11 295.7 3292.01 4967.96 8421.33 7715.50 5317.11 7403.81 1128.68 6272.8 -2917.89 --3171.09 -1844.37 3040.84 201-7.85 real holding gains on fixed capital stock RHG 2 533477 . 472. 29 397.22 102. 605.27 172.50 366.09 756 . 03 981 .97 2144.76 1501.91 1842.65 2526.02 -11583 .0-2364 .3 2 -827.91 -3954.30 2461. , 55 77 Table A4 Estimates of real rate of return on total capital in Finnish manufacturing 1961 - B refers to before taxes and A real rate of return on physical capital total (fixed capital stock at 5.4 per cent depreciation plus inventories) 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1979, per cent to after real rate of return on total capital (7.8 per cent depreciation coefficient) RRTFCRB RRTFC RR2 RB 14.69 10.78 11.56 11 .7 10.58 7,56 10.37 8.20 9.31 4.52 8.41 4.65 9.71 10.99 16.65 1 9.21 12.71 14.12 19.02 20.03 2.52 1 .43 8.09 9.52 15.21 . 17.99 11.64 13.22 18.10 19.16 1.66 0.51 1.74 10.10 11.10 9.41 10.25 taxes values. 8.33 4.48 7.67 4.75 7,49 8.58 13.44 15.38 10.16 11.48 15.80 16.93 2.04 1.23 2.27 9.04 9.80 RR2R 8.42 5.49 6.52 2.81 6.03 3.15 6.16 7.35 12.25 14 . 3, 9.28 10.73 15.02 16.19 1 . 30 0.42 1.59 8.43 9.07 78 Table A5 Estimates of real rate of return on own capital Finnish manufacturing 1961 - 1979, per cent RRR (1) and RRR (2) are calculated by formula OC OC by excluding RHG from RR (see section 3.2) RR R OC (1) RR R OC- 19.15 14.98 17.99 16.31 14.40 10.75 16.11 6.26 11.20 5.15 16.27 1969 27.01 36. 17 11.31 17.31 19.65 1970 1971 1972 29.71 35 .40 55.49 1973 72.93 1974 1975 1976 1977 1978 31.11 21. 05 19.92 30.18 29.66 f1979 (19) (2) 1961. 1962 1963 1964 1.965 1966 1967 1968 29.06 in 12.65 9,59 24.98 19.64 C;,6 35.45 41.99 14.74 10.07 10.04 18.16 18.05 Note: R In RRR (2) all hidden reserves are included in the OC measure of own capital. R (1) half of these reserves are added to In RR total debt as an estimate for tax credits. 79 Table A6 Estimates of market value in Finnish manufacturing 1960 - 1979, FIM millions (See also chapter 4 and 5) The series are the end of year values. E +(OC -E)+B+TB (formula (22)) MVl 13044.38 14048.52 15651.77 17243. 31 19219.00 20569.39 22545. 22 24511 .31 1970 1971 1972 1973 1974 1975 1976 1977 1978 1.979 06,U:,J 1 - 4 6 4. (formula (28)) (formula MV2 1960 1961 1962 1963 1964 1965 196 6 1967 1968 2J.A. 5 0C +B OC +B+TB - MV3 24029,*S 3053). 33 10628.47 10989.34 12261.71 13307. 91 1 443 32 13342.21 15103.31 16271 . .8 19366.13 47051 . 62 31362. 12 16692.43 17193.83 19270.54 20586.27 . . 47 252 239,03.502 3~ 5r-51. *32 175487.17 95754.81 1i 7 0 . 75 121436.07 133507. 3 , 14 23 1.5 . 60 163074.31 (29)) 107293.01 120304.97 127789.20 127892.11 135192.15 147352.62 176059.76 2 7 3 . 6 5 5 0226.6*412 74507.71 77417.95 32730 . 21 85962.18 91179.45 100960.97 114486.44 80 Table A7 Estimates of Tobin's q-variable in Finnish manufacturing 1960 - 1979 Market values MVl - MV3 are divided by the value of total physical capital. TOBQF1 1960 1.442 1961 1.37 1.39 1962 1963 1964 1965 1966 1967 1.42 1.41 1.32 TOBQF2 .81 .68 .71 .69 .69 .53 .38 1972 1973 1974 1975 1.32 1.33 1.35 1.41 1.44 1.43 1.51 1.55 1 .44 1.41 1976 1.36 .80 .61 .43 1977 1,.34 1.39 1 . 39 .36 .43 .50 1.40 .62 1968 1969 1970 1971 1978 1979 Average .31 .43 .56 .66 .67 .93 .20 TOBQF3 1,15 1.08 1.09 1.10 1,06 0.89 0.89 0.88 0 . 91 1.05 1.11 1.14 1.30 1.53 .1.16 1.04 0.96 0.92 0.98 0.98 1.06 81 Table A8 Estimates of real cost of capital in Finnish manufacturing 1961 - 1979, per cent Based on the real rate of return on total capital after taxes and including real holding gains. Market values are MVl - CClA 1961 9.07 1962 1963 6.23 7.01 1964 1965 3.63 6.79 1966 1967 1968 3.97 6.66 7.52 11.57 13.07 8.67 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 MV3. CC2A 7.41 5.06 5.87 3.02 5.84 3.80 11.60 7.96 9.08 6.80 10.04 11.24 7.13 10.46 11.29 12.18 7.45 7.31 8.57 13.93 1.80 1.08 11.09 1.58 1.03 2.05 7.60 2.03 7,37 8.09 7.49 9.31 CC3A 4.83 10.09 5~ 4 9 '-p 15. 40 16.93 10.8 : 10 .85 12.34 17.23 2.43 1.53 3.01 10.75 11.52 82 Table A9 Estimates of real cost of capital in Finnish manufacturing 1961 - 1979, per cent Based on the real rate of return on total capital after corporate taxes and excluding real holding gains. Market values are MVl 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973. CC2AC CC3AC 9.21 6.85 7.09 6.92 6.19 5.36 7.53 11.77 5.39 6.89 9,73 9.02 6.00 5 .91 6.32 1975 1976 3,84 1977 3.51 5.41 6.77 1978 1979 MV3. CClAC 8.68 4.64 1974 - 556 8.75 5.94 5.77 5,33 5.13 9.19 5.49 6.53 8.11 10.30 13.01 1 1.68 7.53 8.79 7.79 5.1.5 4.64 4.45 6.91 4.05 9.21 9.20 8.00 6.89 6.41 10.73 6.26 3.65 3,46 5.43 5.24 7.65 9.64 6,27 5.14 I 83 LIST OF SYMBOLS K CP 1 = fixed capital stock current (5.4 per cent depreciation), cost value K2C 2 = KCP = fire insurance value of fixed capital KB = book value of fixed assets VO C = estimated value of inventories VO B = book value of inventories RO = book value of financial assets ROnet = book value of net financial assets B = book value of total debt E = book value of equity capital OC = book value of total own capital 3 TC fixed capital stock current cost value total capital, (7.8 per cent depreciation), replacement cost stock value TFC = total physical TC = K TC = book value of TB = total value of hidden reserves TB* = tax credits, i.e., OC = estimated value of own capital (TC-B-TB*) OC2 = estimated value of own capital (TC-B) B* = estimated total debt pQ = value-added of production W = total Deb = economic value of depreciation IR = net interest expenses + VO capital, replacement cost value + RO (also TCl) total capital (TC-TCB ) deferred tax liability (B+TB*) labour costs 84 IRE = interest payments, (gross) iT = profit in general meaning 7b = profit before taxes 7Ta = profit after taxes T = paid corporate taxes 0I = operating income u = actual tax rate u = effective tax rate TI = taxable income, (pre-tax) (post-tax) (also UF) i.e., profit before taxes at book value g = rate of change in the price index of TFC (proportional or percentage) gCUR = rate of change in the current value of TFC gCON = rate of change in the volume of TFC gCP = rate of change in the consumer price NHG = nominal holding gains RHG = real g = rate of change of g relative to the change in consumer price index r = real rate of interest i = nominal rate of interest p = rate of change in the general price level DIV = dividends MV = market value (total) MVl, MV2 etc. E = market value of equity capital f = ratio of market value to nominal value of equity capital by industrial stock companies Y = holding gains index (per cent or absolute value) (per cent or absolute value) - income, general expression 85 PVGO = present value of growth opportunities (also CC) = cost of capital p TOBQ = Tobin's q-variable TOBQl, TOBQ2 etc. RRNB = nominal rate of return before (on total capital) taxes RRNA = nominal rate of return after taxes RR RB = real rate of return before taxes RRRA = real rate of return after taxes R = real rate of return on own capital, formula RR RR (1), RR R RR (2) etc. = real rate of return on own capital, RROC(1), RR~OC(2) etc. RI = nominal rate of return to investors RIR = REI = nominal rate REI R = real rate (17) of return of return formula to investors to equity investors real rate of return to equity investors (19) 86 REFERENCES T. 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