University of California College of Agriculture Agricultural Experiment Station Berkeley, California HOPS: STATISTICAL-ECONOMIC ANALYSIS OF MARKETING by Sidney Hoos and J. N. Boles September, 1952 Contribution from the Giannini Foundation of Agricultural Economics Mimeographed Report No* 139 LIBRARY UNIVERSITY OF CALIFORNIA DAVIS HOPS: STATISTICAL-ECONOMIC ANALYSIS OF MARKETING by Sidney Hoosi/ and J. N. Boles^/ Contents Page Introduction ...... • 1 Economic Setting and Background Survey of Economic Trends h Hop Marketing Agreement . . 11 Statistical Price Analysis . 1U Concluding Comments 26 Selected Statistics 28 l/ Professor of Agricultural Economics, Agricultural Economist in the Experiment Station and on the Giannini Foundation. 2/ Assistant Specialist in the Experiment Station and on the Giannini Foundation. HOPS: STATISTICAL-ECONOMIC ANALYSIS OF MARKETING Introduction This report results from an investigation undertaken at the request of the United States Hop Growers Association. That group, faced with current and prospective marketing problems, felt the need of statistical price analyses which would aid in appraising results of alternative lines of action. These lines of action relate to the control of hop supplies flowing to market under the jurisdiction of a federal marketing order. Hop growers have operated under a federal marketing order at various times since 1938. The present order became effective in July, 19h9, after the price developments in the fall of 19U8 when, for the first time since World War II, the available supply of hops was substantially greater than the demand and when the price appeared unreasonable to most growers. An indication of the situation is that during the fall of 19U8 the prices for uncontracted hops dropped sharply, from about 65 cents to 30 cents or less per pound. And even this marked decrease did not absorb the available supplies. With the introduction of the federal marketing order in the middle of 19^9, the price situation for hops improved from the viewpoint of producers and prices increased, although not necessarily only because of the order. The increase was sharp enough so that the price for best quality hops reached 83 cents per pound in the fall of 1950, although sales of the entire crop of 1950 averaged about 65 cents per pound. Although cost of production figures generally are notoriously unreliable, a figure of from 35 cents to 55 cents a pound is a range within which cost of production probably lies in the past year or two for most hop growers, depend- ing upon the area of production and other factors. The favorable returns to many growers in 19k9 and 1950 stimulated new production. This expanded pro- duction is reflected in an increase of about 5>000 acres planted in 1950, at a time when there was no shortage. The expanded production was also reflected in what hop growers viewed as a "surplus" in 1951, in an amount of 17 million pounds; and many growers were dissatisfied with the situation, although other growers undoubtedly made favorable returns due to fortunate future sales. In view of the situation in 1951, it became clear to many in the industry that the continuation of a federal marketing order striving for higher prices with "parity" as a goal was not consistent with a market price situation where W Ja n uc.iJat/bo'f In! oi^iJKxcJ aavn.i I'isd'Xc to a.tXt.'39'i jjh i?;xa *ic ft qcri lo Xin-tnoo erix o3 s boa brtsrcob -?rli- r c 't\S ts ■ ssii as ad 1o C*^ 'T ry'i L srfi nx bnuoq t9q eino: iq lo iaoo iinuorlMA of amy ja*i sXoi-iovfii 9.'u t^ifjoal *rf?ci! , o bits n ol-> oi/boiq io ssi/* a fit nctji/ §nx -cym t3fatsq.\9 axxii .troiJoi/botrq wan fcs^six/mXTe '"i'Jobff.r. aiswo-r^ \;xJ3ubnx art* at .;nwa o« isr.Io 9iw?oori .tX t Xq.jj?.i.tRtfa arii bA ,«t£s\ %oio -suit 'la ijfiti;n?«i;jsfi s^'^ '-tftoiamni qod ^rif la S3|a. o d*ts aco iiq -r.rij nariv onjb*. s: >» si Eiswcrss irfnl insiiavem ina^ita- \t> imiom id naxU t .woI ^I^vij-el&jj i-d o-J -bftfaaqx:* one atfs ^iiq srii li ^Etio cXooia lianJ- oJ bbs. Xirw aiswe-xd narftf dsXrf vXevKtc. ai; aWoojfj; tfr II .noass ojj'inoo&i sdi li cfusq.fi aA .II -rak blioW •snivcllol fens anj.*! »-7soj-tq fcn§ t-sjIpQis .Bdriotjxa t K.tioqm iA bs&}&I& T , to :^5»cr IT lev ^sv< bs^siava 1 96W bX id boissjirvl*. enc ivqw "1 fcrtA fry/ ffr hahdanvA I aovns, saw ''o^iasv-tPii gni jc-orus-ij isbruu aXdsiisH bn 'S&&lr->sS>l bsi»e» *»ri* ti'^evtPd aqor^' •T.£qpiOO COS ^ id neqmo*; X O'jjfgX'i FIGURE 1 United States Hops; Indexes of Acreage, Production, and Yield Per Acre from 1933-34 200 190 180 170 / / -Production / / 1955-1959 averages Acreage: 33,800 acres Production: 37,684,000 pounds Yield: 1,123 pounds per acre I I J L 1933- 1935- 54 56 1945- 46 1950- 51 T90-. ; 0£ yai, 6. production beginning in the middle 19U0's resulted from both expanded acreage and improved yields. But since the late 19U0's, the sharp increase in produc- tion was due more to the increased yields than to acreage which increased less sharply. Thus by 1951-52, yield had reached on all-time high, whereas acreage was about the same as in 19U5-U6 as the several following years. The average yield of hops per acre varies considerably from season to sea- son. This occurs as a result of variable climatic factors, and also as lands of varying productivity come into production or go out of production. This variability of yield is one factor encouraging the brewers and others to carry fairly large stocks from one season to the next. The average yield during the period 19U0 to 191; 9 was 1,267 pounds per acre harvested compared with over 1,500 pounds per acre during 1950 and 1951 • With a greater number of acres in production and with above average yields, production estimates of 58.1 million pounds in 1950 and 63.2 million pounds in 1951 were not surprising even though the 19U0 to 19U9 average was only 1*7.1 million pounds. In 1951-52, acreage was 23. h per cent higher than the average acreage for the period 1935 to 1939, yield was 36.7 per cent higher and produc- tion was 67.8 per cent higher. Since hop bales may be stored for several seasons, the utilization of hops can be considered in terms of stocks and flows. In other words, the stock of hops at any point in time is the resultant of the inflow of bales from the growers, and the outflow of bales to the users, both domestic and foreign. There is no precise automatic balance between the inflow and outflow and con- sequently the stocks on hand September 1 fluctuate from year to year. The range of fluctuation is indicated by September, 19hh stocks at a level of 27 per cent of the 19UU-U5 domestic consumption, compared with September, 19U9 when stocks were 30 per cent of the domestic consumption in 191*9-50. Such fluctuations in stocks have had a bearing on hop prices. At various times and for various growers, the price offered for baled hops has not been high enough to warrant harvesting their crop. At other times, under the pro- visions of a federal marketing order, only a fraction of each grower's crop has been certified as salable; in such years most of the remainder of the crop produced was left on the vines in order to save handling costs. Figure 2 shows the quantity of hops produced and the quantity salable under the marketing orders compared with domestic consumption. TO supplement domestic production, we import hops from other countries, principally Germany and Czechoslovakia. These imports, in large part, are of .p.' osns.j If :o snxjcwtisfli Jttifoo Tetita nn FIGURE Z United States Hops; Production, Salable Quantity, and Domestic Consumption from 1933-34 Production < Salable r> * ■* quantity Domestic consumption J L 1935- 36 1940- 41 L 1945- 46 j l_ 1950- 51 8. special qualities and types. The quantity of hops imported reached a prewar peak of 11 million pounds in 1936-37 when there was a very poor harvest in the United States. Imports declined rapidly in the latter 1930' s and were negli- gible during the war years. Since the end of the war, imports have varied from 3.3 to 5.7 million pounds annually with no discernible trend up or down. (See Figure 3.) United States exports have exceeded United States imports of hops for most years since 1933-3U. 3he only exception to this occurred from 1935-36 through 1938-39. Since that time there has been a net export balance with the range varying from over 10 million pounds in 19U5-U6 and 1950-51 to a little over 1 million pounds in 1938-39. The smallest postwar net export balance occurred in 19li7 -U8 and amounted to some 5J million pounds. (See Figure 3.) The major outflow from United States hop stocks goes into the production of fermented malt liquors, principally beer. Beer production has increased from about hO million barrels in 1933-3U to about 90 million barrels in the late forties and early fifties, but the quantity of hops used did not increase proportionately. (See Figure U.) During prohibition there had grown up a new generation which seemed to prefer a milder beer. Where one barrel of beer in 193h-35 required, on the average, 0.702 pounds of hops, in 1950-51 only 0.1;03 pounds were required. Thus, in 1950-51* 36 million pounds of hops were used to produce almost 90 million barrels of beer; while in 193U-35> 32 million pounds were used to pro- duce only I46 million barrels of beer. Beer production has declined about 3 million barrels during the last five years, while domestic hop consumption has declined more than 6 million pounds and reached a postwar low of 36 million pounds in 1950-51. As a result of the variable inflows (domestic production and imports) and outflow (domestic consumption and exports), United States stocks of hops on hand September 1 have fluctuated from year to year. At the beginning of 1937-38, there was reached the prewar peak of 29 million pounds; those stocks equaled 8I4. per cent of the amount consumed domestically that season. At the beginning of 19U9-50, a postwar peak was reached at 30 million pounds, or 80 per cent of the amount consumed domestically in the same season. The season average farm price has also fluctuated from year to year in response to changes in the supply and demand situations. From a low -«£ cents per pound in 1935-36, the average price increased irregularly to a 1o :issa SlOTl fa -OK it ass x 11C &OX/D b)- Vol \Biuznor: znuomi lo inso leq FIGURE 3 United States Exports and Imports of Ho ps from 1955-54 15 — — — TO FIGURE 4 United States Production of Fermented Malt Liquors and Hops Used in Production of Fermented Malt Liquors from 1933-34 / Hops used in beer Beer production 1933- 34 _1 1935- 36 1940- 41 1945- 4S 1950- 51 11. postwar peak of 68. h cents in 19U7-U8. thereafter, the price fell to 55.1* cents in 19l*84i9 and then recovered to 62.1 cents in 1950-51. Figure 5 sum- marizes the changes in stocks on hand September 1, season average farm prices, and consumption since 1933-3U. Hop Marketing Agreement Hop growers, marketing a production the consumption of which is not greatly affected by changes in its price (within the range of market experience) and the production of which is variable from year to year, have been subject to fairly wide price fluctuation. This fluctuation is tempered, however, by the policy of the brewing companies to maintain fairly large stocks relative to annual utilization, increasing them in years of low prices and decreasing them in years of high prices. Following World War II, production and supply of hops increased more rapidly than did their consumption. This rapid increase in stocks initiated in 19U8 a price drop for uncontracted hops from about 65 cents to about 30 cents per pound. Growers and handlers responded with an appeal to the U. S. Department of Agriculture for a Marketing Agreement and Order to control the quantity of hops which could be marketed. This was done to restore the farm price to the neighborhood of its "parity" level. That goal was achieved and the hop industry has operated under a marketing order since 19U9. Hops had been marketed under federal marketing agreement and orders before World War II, although they were terminated in 19hS» Since 19U9, under the terms of the marketing order, the Secretary of Agri- culture has designated the physical quantity of the current crop which can be marketed. The administrative agency which assists the Secretary of Agriculture is the Hop Control Board, composed of 9 grower members, 2 grower-dealer mem- bers, 3 dealer members, and h brewer members. The functions of the Hop Control Board are: a. to determine the quantity of hops (including hops products) which can be marketed from the crop produced in the current season. This "salable quan- tity" is based on "consumptive demand." b. to determine the total quantity of hops available for market from all growers (including any hops unharvested) . c. to determine the percentage ratio between the "salable quantity" and "aggregate production." )3 c;' b3i5>Y' sM qoH ^cl If" S*XJ rbitf bi; .asoxiq /igiri lo ei lo boo no bits to 9fti eiei^es cio/rfw ^.-ini FIGURE 5 United States Hops; Stocks, September 1, Consumption and Season Average Farm Price from 1933-34 60 — —~ \ G ft- si g 1 o O .A 13. d. to determine the "salable allotment" for each grower by applying the "salable percentage" to each grower's "available quantity." e. to issue "handling certificates" to cover each grower's "salable allot- ment. " ' "In July each year an estimate is made of the following factors: (i) Brewers ' requirements : The brewer members of the Hop Control Board give their estimate of the barrelage of beer likely to be brewed in the following twelve months. This estimated barrelage is then multiplied by the current average hopping ratio to give the estimated weight of hops likely to be used by brewers. To this is added the small weight of hops to be used by distillers and yeast, malt-syrup and pharmaceutical manufacturers, etc. (ii) Probable exports of hops during the following twelve months. (iii) Brewers carry-overl/ (stocks) of hops at the end of the follow- ing twelve months. The sum of the above three estimates is the consumptive de- mand. At the same time the Hop Control Board also estimates: (1) Brewers' current carry-overl/ 0 f hops. (2) Probable imports of hops during the following twelve months. The sum of these two estimates is then deducted from the consumptive demand and the result is the salable quantity. "2/ The salable percentage cannot be determined precisely until final esti- mates are made. Hence, handling certificates covering up to 90 per cent of the salable allotment based on tentative estimates are issued on request, so that most of the crop can be moved before the final estimates are made. The preliminary estimates are useful also in that many growers only harvest about that fraction of their production which they believe can be sold, and thus save the harvesting costs on the unsalable portion of the crop. At the present time, there is a diversion privilege in that the handling certificates are negotiable. In recent years some of these have changed hands at prices ranging from 10 to 50 cents per pound of certification rights. There has been some dissatisfaction expressed about the application of this privilege to unharvested hops and the Hop Control Board and the U. S. Hop l/ For "Brewers' carry-over" should be substituted "total U. S. stocks." 2/ Quoted from: The Hop Industry , Anglo-American Council on Productivity, New York, August, 1951 • is'ioios'i ♦ atvtolloZ .^ri^ lo sfc&m et ot*?iije9 oa ib.-w rio/33 vXtrL nl" . arf-tnom svjswj; gniwollcl 9tH ytjfwk aqori lo eltoqx9 &&jsdi .woXfol 3ffi lo fcri *a eqori lo (r-.dooie) \Jis vT^7 ~^^ ~sb svxctqmxtanro srii ax aaJsnuJea a^TriJ - ovods lo wjjz 9rff taa.tsfluice csls fneofJ IcistncO qoH sr!J smi\r smaa erfi A »aqorf Ifi \;£iqvo-v *x , ifio ..tnaT txir: 'a-iQw; was iK.iif f rJny vlBRcooia boitm^d-ob o<-f itnrw> tE r >yr 3niifcrfj&ri srii .tsitt ni ■agsXjfeVi'ja noxaiavxb b ex eaort.} .opti? jnseajq ;bKad bogus do 9vcn assort! 10 ejnoa e'ras^ drroooi nl .aXdjsx./ogon sis ? .aJrigi-x noxt^oxliii^o 'lo btnxfcq *xaq aJ-n.o Oc. 6* OX moil' arixstw airrto lo Doiteoxlqqe ax£t Jxrods b&5es>iqxft noi^ofelaiJ-sGexb snjoa nss qoK .? .U has bxsoH IniJ-noO qoF sdi bn^> eqod i^dasvTBfiiiif 0 ** • e^O'j-f € .8 ,0 Xsioi" bsiuJ iiztftjii sd bXucria •'isvo-vi^o 'a'lavfet Ik. Growers Association have proposed an amendment which would limit the diversion privilege to harvested hops. It is felt that this might aid in restricting individuals from growing hops to maturity with the primary purpose of obtain- ing and selling certification rights. The Hop Control Board provisions are not effective during any year in which the "consumptive demand" is 93 per cent or more ef the available crop, or if the estimated average price for the season exceeds the "parity" price. Except for its control of salable quantity and some control over quality (maximum leaf and stem content), the Hop Control Board does not directly enter the marketing process. Most growers sell their product under contract to dealers, usually up to a year in advance of harvest and frequently two or three years in advance. The price is usually set by mutual agreement in the contract so that the grower is protected from price declines but is also pre- vented from gaining by price increases. Normally, cash advances are made to the grower prior to harvest and delivery. The salable quantity has been smaller than aggregate production every year since 19U9. The amounts withheld (most unharvested) are shown in the following table with average farm prices. United States Crop year Hops withheld farm price million pounds cents per pound 19U9-50 11.8 55. k 1950- 51 8.3 57.0 1951- 52 15.3 62.1 Statistical Price Analysis Before proceeding with a statistical discussion of the results of the statistical price analysis, a brief review of some major characteristics of the hop market is in order. Hops have been generally sold on a basis where each grower negotiated with purchasers and they finally arrived at acceptable terms. A large per- centage of each crop has usually been contracted for by the dealers during the preceding harvest period or periods, thus the price on this portion of the crop has been set by contract before there is any knowledge of the size of crop or the salable quantity to be certified by the Hop Control Board. On the one hand, the grower has had some idea about his prospective cultural, iq ©ri-t ttiv ;noxr;. itnoo soiicr iranano-' ij&tttioo 7--. iu Jiurriq tisnJ Xiaa ci9W07 ■it xlJcfBu^eil bciR tfeavieri 'io oonfivfcs ni toamssi^B Xst/ii/m doe x^^ 6i;a,; « f 8i * eX Svd eanXlotjb ooXt^ inoiJ beioscffiiq ;6tii 31P ceonfivrp dERO ^VrTlfinHcK »s-'2£9"to»i fioicraabofiq ij^figsiggB neifcf isXIans need t mforis riB (bat^aviGfiao isom) bL&nrlfb*' .asoiiq wie J J X lit xii X ..tl x ^ ill W JL w c5Ci , ?«3ooiq KB dlff '.P'1\>I acnO one E eiev.isaA so ill Led. >riJ lo floiseu'oar.ib XsoXJ^id"! ooiiq Xao. -13G :;orss tffi brij lo e^bvlwon*' \fib si. o*jyiit an cboS XotinoD qoH arid \d fcailXJ-JSD 15. picking, drying, and baling costs while, on the other hand, the dealer has had some idea as to transportation costs and the price which might induce brewers to add to their stocks. At the time of negotiation, there was available to dealers and growers estimates of stocks on hand September 1 or later and the salable quantity from the current harvest. The Hop Control Board, in arriving at a decision as to the salable quantity to recommend to the Secretary of Agriculture, made fore- casts of beer consumption, hop exports, and hop inports. Using the forecast of beer consumption and the most recent average hop ratio, a forecast of hop consumption was also made. These estimates and forecasts then led to a fore- cast of stocks on hand at the end of the current season and the beginning of the next. Stocks on hand September 1, plus salable quantity, plus imports, less exports, less consumption, gave stocks on hand the following September 1. The average cost of hops per barrel of beer is currently in the neighbor- hood of 25 cents. This is a very small element in the total cost of producing beer. The hops ratio is chosen primarily with the selling characteristics of the end product in mind, and not with reference to the high or low price of hops. Since hop movement from growers varies from year to year and only by chance is equal to utilization for the same year, stocks on hand absorb the surplus or cover the deficit. The inventory policy of brewers, then, is an important determinant of the average hop price. In general, the larger their inventory, the less eager are the brewers to add to it. However, inventory policy itself is subject to change from time to time. If the Hop Control Board is successful in stabilizing hop prices, brewers may feel freer about carrying a large inventory. On the other hand, if there is widespread dis- satisfaction with the results of the Hops Marketing Order to the extent that its future existence is in doubt, the size of current acreage and production would make dealers and brewers very hesitant about making forward contracts or current purchases, anticipating the possibility of future purchases at substantially lower prices. During periods of international tension, brewers may desire to keep larger stocks on hand than they would if no immediate prospect of conflict were present. To summarize, growers and dealers negotiate prices on a large fraction of a given crop up to a year or longer in advance of harvest. The negotiated prices cannot be significantly lower than anticipated direct cultural and ■ ■ ' '■ ■ ■ 16. harvesting costs or some growers will allow their yards to remain idle the following season and incur only the bare minimum costs required to keep the yard productive. The prices, on the other hand, cannot be so high that dealers see no chance to induce the brewers to add to their stocks at a price profit- able to the dealers. Thus, a forecast of the size of brewers' stocks and inventory policies is useful to the dealer in his price negotiation. After reviewing some of the more important marketing practices, we may now turn to consideration of how the behavior of prices is related to various market determinants. It may first be noted that the statistical price analysis is that part of this report which is of prime interest to the hop marketing industry. The need for such a statistical price analysis prompted the request which re- sulted in this report. Yet, the statistical price analysis, by itself, is much less meaningful than when it is interpreted and used in a particular setting such as operation of the Hop Marketing Order. For use in administration of the Hop Marketing Order, the industry and/or its representatives are interested in suggestions for appropriate lines of action and the potential results of such action. This applies particularly to the price effects which may be expected from manipulation of the supply and inventory position of the industry. Thus, the statistical price analysis may be used in conjunction with other tools to obtain an indication of the price effects likely to result from alternative lines of action by the industry. It must be emphasized, though, that the statistical price analysis does not replace the need for business judgment. Used properly, the analysis can aid in arriving at sound decisions, but it cannot by itself dictate decisions. Before proceeding further with a review of the statistical analysis of the price for United States hops, it is necessary to set forth certain characteristics of the data analyzed. From a statistical viewpoint, it is usually desirable to have a fairly long series of observations with which to work, taken from a period which is fairly homogeneous, rfith respect to hops, estimates of prices, production, consumption, and stocks were available for a period beginning as far back as 1920-21, but the situation in the twenties and early thirties was radically different from the situation following the resump- tion, in 1933, of the production of beer stronger than one-half per cent of alcoholic content. Available statistical techniques are not well suited to account for the type of change that occurred in 1933 when prohibition was re- pealed. tsubrr ■ i . ■ - 17. During the years of World War II, government programs such as price con- trol and rationing and the shortage of durable consumer goods tended to distort the peacetime "normal" relationships between economic variables. On this ac- count, it is often the practice to exclude the data of the war years from statistical analyses. However, in this case, if the years 19kl~k2 to 19U5-U6 were excluded, there would remain only the observations from thirteen seasons, an insufficient number to allow reliable estimates. Also, from the viewpoint of hop marketing, it was believed that the situation was less "abnormal" than with many other goods. Thus, although with some misgivings, it was decided to use the data from the entire period 1933-3U to 1950-51 with the thought that, in this particular case, the distortion of the war period would have only a minor effect on the statistical results ^ With minor exceptions, the entire period studied has been one of increas- ing prices. It is a commonplace occurrence that during a period of rising prices, especially if this is better foreseen by dealers and brewers, it is good business policy to carry large inventories and to make forward contracts at prices substantially lower than prices will be at the time of delivery. Consequently, it must be remembered that the reverse situation becomes true if prices are expected to fall drastically. Even if price stability is the expectation held by dealers and brewers, over a period of several years brewers might well decide that a smaller inventory is desired than would be the case if prices were expected to rise. The objective of the statistical analysis was to find an explanation of the determination of United States season average farm price for hopsj such an explanation, to be usable, should be fairly simple but still accept- able from both the statistical and economic points of view. Many of the considerations leading to the particular explanations chosen have already been discussed. Based on economic and statistical considerations, summa- rized at the beginning of this section, and on other statistical results summarized in Table 6, the principal determinants of the United States season average farm price during the period covered have been the size of stocks on 1/ Several analyses were made of data from the period 1923-2U to 1950-51, excluding the war years. Some of these results are given in Table 6, (equa- tion IV a). It is believed, however, that the analyses based on the period 1933-3U to 1950-51 including the war years, give superior results from the view of reflecting current institutions and relationships. NM Qc 18. hand September 1 and total United States personal consumption expenditures. The size of stocks on hand September 1 reflects the strength of the hop inventory position of brewers, and incorporates their expectations as to de- sirability of carrying larger or smaller, stocks. Total United States personal consumption expenditures reflect the amount of money consumers have spent for goods and services, and thus is related to the amount of disposable income available to consumers and their views as to how much of that income should be expended. Personal consumption expenditures, thus, are to a great extent cor- related with general business conditions and the level of national employment and income. The statistical analysis, then, summarizes the average relationships which have existed between the United States season average farm price, the size of stocks on hand September 1, and United States personal consumption expendi- tures during the period 1933-3U through 1950-51. The United States season average farm price is estimated by the United States Department of Agriculture and represents the price which, when multi- plied by the quantity of hops sold by growers, would yield the total gross money returns growers received. Thus, the farm price is influenced to a large extent by the prices determined under forward contract but is also influenced by the prices paid for uncontracted hops. The size of stocks on hand September 1 is estimated and reported by the Hop Market Review issued by the Federal-State Market News Service (San Fran- cisco, California) and includes stocks held by growers, dealers, and brewers. United States personal consumption expenditures are estimated by the Department of Commerce and reported monthly in its Survey of Current Business. Stocks on hand September 1 may be expressed in two different ways — in millions of pounds or as a ratio between the quantity on hand and the quantity consumed during the following season. For example, the stock on hand September 1, 1950 was 23.7 million pounds. Consumption during 1950-51 was 35*8 million pounds. Thus, the stock on hand September 1 could also be expressed as 66.3 per cent of the consumption in the following season. Both methods of measuring the stock on hand were used and the result of each analysis is given below. These two sets of results should not be viewed as separate "explanations" of the price determination; rather, they are two slightly different ways of expressing the same economic relationships. The average relationships of United States season average farm price to stocks on hand September 1 and United States personal consumption expenditures may be summarized as follows: .31 Dsnossacr zstfGiE bsJxftU IrfoT IE . ESOXVl! li.tsn "to Xsvsl -iiqnuianoo Isnagi .X?-C; XaU br no ^nota ibcmmq'j-' brt£;- no eaoi Wsi ;r.<< [iincsi-iq 3&*sa«J batinU bxis I is>d£ : ewoXXo'i 19. (1) A change of 1 million pounds of stocks on hand September 1, con- sidered by itself, was on the average accompanied by a change in the opposite direction of about 1 cent per pound in the United States season average farm price of hops of all marketed grades (shown in Figure 6a). (2) An increase of 10 per cent in United States personal consumption expenditures, considered by itself, was on the average accompanied by an increase of about 10 cents per pound in the United States season average farm price of hops of all marketed grades (shown in Figure 6b), The relations described in (1) and (2), above, are included in an equation which measures the relation of the price to the stocks and national expenditures; the equation reflects the price as a resultant of the interaction of stocks and national expenditures. In other terms, changes or variations in stocks and/or national expenditures are reflected by associated changes in the farm price. The derived statistical equation (id in Table 6) can be used to calculate an estimated price for each year. Figure 7 compares such an estimated price, based on the statistical equation, with the actual price for each year. We may turn to the alternative formulation of the statistical price analysis. Rather than considering September 1 absolute stocks as such, we now consider relative stocks or the September 1 stocks as a percentage of the hop consumption in the following year. Thus, the price change is considered to be determined by the combined changes in relative stocks and national consump- tion expenditures. The average relationships of the United States season average farm price to stocks on hand September 1, expressed as a per cent of consumption in the following season, and United States personal consumption expenditures may be summarized as follows: (1) A change of 10 percentage points in the relative stocks on hand September 1, considered by itself, was on the average accompanied by a change in the opposite direction of about 3.5 cents per pound for the United States season average farm price for hops of all marketed grades (Figure 8a). (2) An increase of 10 per cent in United States personal consumption expenditures, considered by itself, was on the average accompanied by an increase of about 10 cents per pound for the United States season average farm price of hops of all marketed grades (Figure 8b). Estimated prices based on this formulation are compared to actual prices in Figure 9. It should be noted that the degree of correspondence between IS", U? fit"'" (saeiiop jo suoxTjxq) saan^pusdxa^uox^duinsuog^iBuosja^sa^^s Pg™n 20 « (spunod jo suotttxui) I jaqura^dag 'ptreH uo s^oo^g i^J. Q£ $Z OZ $1 01 S -01 02 oc m g d- ■ on w I CD tfl W °* I S ! CD 09 $ CD P3 OL 8 O CD (o siqei United States Personal Consumption Expenditures (billions of dollars) FIGURE 9 United States Hops; Season Average Farm Prices, Actual and Estimated from 1933-34 (Estimated Prices Based on Equation He, Table 6) 70 60 50 T3 O ft 40 u ft CO -p © o 30 20 10 1933 34 1935- 36 1940- 41 1945- 46 /Estimated Actual 1950- 51 2U. actual and estimated price is not much different in the second analysis compared with the first. Another way of putting the matter is to say, as we have ear- lier, that the two analyses are only different ways of looking at the same thing. Either equation may be used in the work of the Hop Marketing Board. It must be emphasized here that the statistical relations of price to stocks and national personal consumption expenditures, summarized above, are average relationships; they may not apply to any particular season. To the extent that average relationships which have tended to prevail in the past continue to hold, the relationships may be helpful in analyzing alternative marketing potentialities. Yet, always it must be recognized that the statisti- cal relations and equations are tools for use in market analysis, and not mechanical forecasters. Used with judgment, the tools can be helpful; but they are not a substitute for business judgment. These characteristics of the statistical relations and equations must be borne in mind when they are considered and used; also, should be borne in mind the fact that new and uncom- mon situations may arise in any season, calling for judicious and appropriate modification of the statistical relations as they are used. We may now illustrate the manner in which the members of the Hop Control Board might use the results of this statistical price analysis. For this purpose we shall use the analysis with absolute stocks, and we shall consider how the Board might use the analysis to help arrive at its decision as to the salable quantity to be authorized for the following season. Later, we shall consider the question as to what the average farm prices would likely have been had there been no diversion of hops the past several seasons. The objective of the Hop Control Board, operating under the Hop Marketing Agreement and Marketing Orders from the Secretary of Agriculture, is to main- tain the price of hops at specified levels, generally approaching the "parity" level. The "parity" prices reported for hops in Agricultural Prices for July, and January, 1952 were, respectively, 7U.it cents per pound and 7U.6 cents per pound. United States season average far* price for 1950-51 was 62.1 cents per pound, while current reports in the Hop Market News indicate that the 1951-52 average price may be even lower. The Hop Control Board can affect the average price of hops by its recom- mendation in July to the Secretary of Agriculture that he permit only a certain amount from the following harvest to be salable. It is obvious, however, that this decision can have little effect on the price paid for the hops harvested 25. and baled in the following several months if most of this harvest has already- been contracted for at a previously set price. However, there is a delayed effect since the quantity moving to brewers following this harvest will con- trol to a large extent the stocks that brewers and others carry over at the end of the season into the beginning of the next. We have indicated that stocks on hand at the end of the season can be projected by adding to current stocks September 1 the current salable quantity and estimated imports and then subtracting estimated consumption and exports. This year-end stock position enters, in an important way, in the determination of the season average price for that season; for with this projected stock position and national personal consumption expenditures, the season average farm price may be estimated by the statistical equation noted above. There are at least two approaches that the members of the Hop Control Board can take to this problem of raising marketing price to some particular level such as, for example, "parity." They can compare the most recent season average farm price to its relevant parity level. If the farm price is signifi- cantly lower than "parity," they can include in their estimate of "consumptive demand" a quantity for stocks on hand at the end of the next season which is smaller than current stocks. Such procedure would be followed with the thought in mind that, on the average, a decrease in stocks of 1 million pounds has been accompanied by a net increase in season average farm price of about 1 cent per pound. Thus, alternative projected stock levels may be considered in terms of their effect on the farm price. The Hop Marketing Board may also take a slightly different approach. It might select as a goal for the following year a particular price, then set the current salable quantity at that level which, in conjunction with anticipated United States personal consumption expenditures, would lead to the desired price. This procedure could also utilize the statistical price analysis equations considered earlier. Market experience indicates that variation in the farm price for hops is highly correlated with associated variation in September 1 stocks and national business conditions as reflected by personal consumption expenditures. This latter factor may be estimated for short periods ahead; and the other factor — September 1 stocks — can be influenced by the Board. Thus, the Hop Marketing Board has the means for going a long way toward affecting the farm price for ■ itstiB 26. hops; and with statistical equations as summarized here, the Board may- evaluate the price effects of various alternative levels of supply control from no restrictions on marketing to that necessary to attain some specified price. Concluding Comments The evidence summarized in the preceding sections suggests that the most important price-determining variable subject to control, even though only in- directly, by the Hop Control Board is the stock of hops on hand September 1. The operation of the Hop Control Board requires that an estimate be made of "consumptive demand" for the following season. This includes stocks to be on hand September 1, consumption by breweries and others, and exports. The Hop Control Board has no direct influence on consumption or exports, but can de- cide what level of stocks it believes would be desirable. The sum of the cur- rent stocks and estimated imports would then be deducted from the consumptive demand to give the current salable quantity recommended by the Hop Control Board to the Secretary of Agriculture. It should be clear that the primary effect of the Board's control of the salable quantity for one harvest will be on the price received for the following harvest; this is especially so if the custom of forward-price contracts is continued. The question is continually raised, what would the season average farm price have been the past few years if there had been no control of the salable quantity? Of course, there is no conclusive answer possible to this question, but the statistical price analysis above does lend some light on the subject. United States average farm price would likely have been lower without the con- trol than it actually was with the control program. A lower price might have caused a slight increase in domestic consumption and perhaps a greater increase in exports. The lower price probably would have reduced somewhat the actual amount produced and/or harvested. For the sake of simplification, however, assume that the same amount would have been produced, that all of it would have been harvested and sold, and that consumption, exports, and imports would have remained the same. These assump- tions would concentrate the effect of the entire change on the single variable, stocks on hand September 1. The amount withheld in 19^9-50 would then be added to the stocks on hand September 1, 1950 to give a total of 35.5 instead of 23.7 million pounds. This would have been almost as great as total consumption fcisv -2© alalia &oti-i.q 9xii ertf Xsrfj. e-t^a^uf enoi-toas goibsoaiq &xtt nx IwsXu £Xn'> djurodi navp , fciinoo oJ: Josr^a sXderisv grain. |I wdma.te: haerf no egod xo jfopJa- erq a no *o o-J sj-.cjQ.'fs s^bx/X-nx sidT .ao^r.aa an qoH onT .«"0"xoqx9 fans t ( ■ loicfnoO qoH 9ri* "^d XiarJ-tq ectf 'ted.* -xbs 9Cf IXJtW ^SHVIBf! ano 10 art! 11 oe ^X.l>xosqp,9 g nisi \o no.td.\7Eii5Er . »?iui if jo ii3i X5 3 srii loXc: (3 10. XsvnX J:£fiW: /o orict av±a cJ far 10l fa9'?X9091 §>.oiiq 9/i* no co 9o.iiq-bi£Wio1 5c raoiax/o Stnoo ei noxNJeaup oxfl 0 aoxiq- X«oXiBx\*ad , B edi fud nis-1 &gai«vjs eej-sctS baJxnU «sv *J&afc>£ xx nsrii Xolt Rio noas?B add faXx/ow Jxsriw ^bssixfx \XX - t nolo5*3x;p 3ixif od e {disco? iswssne svxex/Xonoo on a, .foafcdi/s erii no Jri&lX ymo3 JbnaX euob 9vod<- axe^Xi -noq sxtt tuoilslv 70W0X n-oad awsrf- vlojttX fcXitow aox' 3vsri jri^xni 90X10 tswoX A . ..ntsisottq Iqijaoo ydx rt. as&ioni ig^raia b -aqx-dit-q farts nox^qiiic?noo oiJecnofa ni secotofli .trfsiXa 6 bseix?:; XsxfJ/oe 9iiJ isriwswos oso^/bef "vsri bXxrow YXd.^cJnq 90X10 tswoX 5rtT piiooxs ni . kJtefrwxsd 'io\fa«f, faooxtboio siwoins jtom anise srii- tscii oraxraae t *t9V9wod ,no.xix>ox'UXqmx3 lo ajfes sri* 10*5 ■ ; . ^jfefe? ^ fclxjqw Gt>P?^:X «i bXodrtfriw inxx-oma ©iff . ,1 isdWqeS fcnrxi nq a^coje : ; . . 27. for 191*9-50 and would have been the largest stock ever recorded. If, in addi- tion, the diversion in 1950-51 had not taken place, the stock on hand September 1, 1951 would have been U6.6 million pounds, a figure much larger than con- sumption for 1951-52. Under these conditions, the estimated price for 1950-51 would have been about 56 cents instead of 69.6 cents per pound and for 1951-52 it would have been about U8 cents per pound. The actual price for 1950-51 was about 8 cents below the estimated price and it is entirely conceivable that the 1951-52 price could have fallen as low as hQ cents per pound had there been no diver- sion in the preceding years. Of course, a price at this level would auto- matically have led to considerable diversion since it is below cultural costs per pound for some producers. One of the goals of the hop control program and the yardstick by which its success or failure (in a legislative sense) is often measured is the achievement of "parity" price for the hop growers. The program, if not always successful in achieving "parity" price, has at least made the price higher in some seasons than it would have been without the control program. However, there is evidence that, at the same time, the higher prices have induced some growers to expand acreage and production and have induced new growers who were previously producing other crops to begin producing hops. This has led to an expansion of production which, in combination with a static or decreasing consumption, has resulted in continuation of a problem for whose solution the control program was originally introduced. Because of erratic yields, the brewers and others desire to carry fairly substantial stocks. For those years when yields are extremely large, some control over salable quantity may be desirable to avoid superabundant stocks forcing down the price erratically for the following seasons. These seasons where control of salable quantity is required, however, should be the exception rather than the rule. ' £0b£ Rl »*+ ^biooat tavto Aooj?. srfct tread uv&ri bin o*r fcos' 0£»^ r 'J 3dmj*cf92 bnerl no Mod*? r.ttf t boGfq iualai Jdtt b*if Xg-O^I ni noinsvib sitt , -noo nsiB iss-icX rfoiiw sicgll & t sbtto6r ttolLUto &&tf.n©od emuT-tyDrov . £ c^X " ?X 10I noil n- a &veri ijxyow x^-o-cxl tol sarin h.3i&mliizs a>dS' ,enoi5iJbnoo 9ai£ebt£>c t»di bnr. msigcaq XciJ-noa qori axtt lo bXsoj =)ffct lo enO V-'-uiBSim o»ilo 8i (aer^-a w>vi*sX8i§9X £■ ni) sii/Xiel io eaeoojue 8tf. t «S"i^oiq t'rfT ,813 wot? qori arii tcl eoiiq "ytiiGq 1 ' lo tc&msvsifo* yoinq 6rtj 9b£«t jep&J: aeri" t soi*rq •tyi'icq* gaivsi'rfor ni Xiilaa^oona a^swXi .iiwi^o-jq XoTtaoo onVt tworiiiw no sd overt bXi/Ow Ji nr. fit anoas9a 9mo8 ni trarfgit svsfi aeoi-iq io«sirf ad^T «aini;f oaswj sxtt *jb ^crf* aonabiva si aie/tt ^.vvswo'r w&n baomVii sv.sri fan- aoiJ-ooboiq bn>~ a^sa-iOB bnsqxs cvt eiawoig amoc bf»onbnj b r£iw rtoitanidmoo ni t rfoidw noiiocrboiq lo nciaru-.qra re j&gX -earf eiffl toiaoiq £ lo nibtGirnifaroo nl b- jXyaai zrd .noiocmuenoo aniac^&ab to nUMt t'/noa ( sg*T£i •^i&mtsrrirxe BbXsx^; ner'w asot>Y- t^aortJ 10*5 « cTtoote XfiiRjpJeowi saocjs Jnr.bni/'di?T^qi'n Sxovr sXdeiiaeb ^o r ^sm Y,&i3iieur)-^id^lF3 ihvo itytiaoi snoaeoe searfT .moacoa ^ni wo XXol »tW «iel ^TXsoiVfivx,-. >oiiq edi avob yntettl :3-q'yoxH &d bXoorie t is?9wori t bi'iii'p6-i ai Y^i^nsbp sXdeina- 5*5 XonJ-noo siyfft .9Xin t.rW nstit ^t&fW'p': 28, TABLE 1 Acreage, Production and Yield of United States Hops from 1933-3b Season Acreage harvested 1933-3U 193U-35 1935- 36 1936- 37 1937- 38 1938- 39 1939- bO 19b0-bl 19U1-U2 19b2-b3 19b3-bb 19bb-b5 19b5-b6 19U6-U7 19b7-b8 19U8-U9 19U9-50 1950- 51 1951- 52 1 acres 30,300 37,100 39.100 31,000 3b, 300 31,500 31,000 32,800 3b, 800 3b, 600 32,200 37,190 bo,9bo bo,9bo 39,8UO b0,b20 37,550 38,700 m, 200 Production 1,000 pounds liO,285 b3,93b U6,U33 25,281 b3,955 35,288 37,b62 U2,8ii6 UO,380 35,153 b2,bb8 U8,lU6 57,6lb 53,751 50,786 50,b6b 50,796 58,351 63,239 Yield pounds per acre 1,330 1,18b 1,188 816 1,281 1,120 1,208 1,306 1,160 1,016 1,318 1,295 1,U07 1,313 1,275 l,2b8 1,353 1,508 1,535 Index e "Acreage — i — 90.8 111.1 117.1 92.9 102.8 9b.b 92.9 98.3 10b. 3 103.7 96.5 lll.b 122.6 122.6 119 .b 121.1 112.5 115.9 123.U Pro auction 106.9 116.6 123.2 67.1 116.6 93.6 99. b 113.7 107.2 93.3 112.6 127.8 152.9 lb2.6 13b. 8 133.9 13b. 8 l5b.8 167.8 11513" 118. b 105. b 105.8 72.7 llb.l 99.7 107.6 116.3 103.3 90.5 117 .b 115.3 125.3 116.9 113.5 111.1 120.5 13b. 3 136.7 a/ Includes quantities harvested and salable, harvested and not salable due to marketing agreement, unharvested due to economic reasons. Quantities not harvested and/or not salable are estimated as: Season 1935- 36 1936- 37 1937- 38 1938- 39 1939- bO 1,000 pounds b,85l Season 1,000 pounds 19b9-50 1950- 51 1951- 52 11,796 8,351 16,739 3,890 2,501 2,22b b/ Averages for 1935-36 through 1939-bO equal 100. Averages for this period ■mere: Acreage, 33,380 acres; production, 37,68b pounds] yield, 1,123 pounds per acre. Source s * 1950-51 ana 1951-52: Federal State Market News Service, Hop Market Re- view, San Francisco, November 15, 1951. 19bb-b5 through 19b9-50: U.S. Bureau of Agricultural Economics, Revised Estimates, 19bb-19b9, Statistical Bulletin No. 108, Washington, D„C., March, 1952. 1939-bO through 19b3-bb: U.S. Bureau of Agricultural Economics, Field and Seed Crops, Acreage, Yield and Production, Revisea Estimates, 1939-19bb, Washington, B.C., April, 19b7. 1933-3b through 1938-39: U.S. Bureau of Agricultural Economics, Hops: Revised Estimates of Acreage, Yi el a, and Production,. 19l5-19bl, Washington, D.C., October, 19b3. : JOTT ls#p3 Of u ( • , no. j : 29. TABLE 2 United States Hops, Production, Salable Quantity, ana Domestic Consumption and United States Hops Imports. from 1933-3U. Season^/ Production Salable quantity Domestic consumption Exports Imports 1 2 3 h 5 1.000 pounds 1933-3U 193U-35 1935- 36 1936- 37 1937- 38 1938- 39 1939- 1*0 xyuu— n± 19U1-U2 19U2-U3 19U3-UU 19UU-U5 19U5-146 19U6-U7 19U7-U8 19U8-U9 19U9-50 1950- 51 1951- 52 U0,285 U3,93U U6,U33 25,281 ii3,955 35,288 37,U62 U2,8U6 1*0,380 35,153 U2,UU8 U8,lit6 57,61U 53,751 50,786 50,796 58,351 63,239 UO,285 U3,93U m,582 25,281 U0,065 32,787 35,238 U2,8U6 Uo,380 35,153 U2,UU8 U8,lU6 57,61U 53,751 50,786 50,i*6U 39,000 50,000 1*6,500 26,235 31,773 33,316 37,005 3U,875 32,7U6 31,927 31,155 3ii,5l2 3ii,833 36,515 37,239 36,83U 1*2,281 hi, 158 39,701* 37 , 325 35,750 7,700 6,772 6,18)4 2,719 5,781i ii,l83 7,991 10,030 9,U59 8,673 6,311 8,685 11*, 288 12,261 11,081 12,376 13,738 1U,276 J ! 5,761 5,257 6,535 11, Udo 9,189 8,053 6,811* 3,736 15U ill 3,859 i*,126 5,581 3,900 5,683 3,321 a/ All figures for season September through August except column (3) which is July through June for years 1933-3U through 19U5- I46. Sources: Cols. 1 and 2 : See Table . Cols. 3, U, 5: 1933- 3U through 191*5-1*6, U. S. bureau of Agricultural Economics, Outlook for Hops From the Pacific Coast, Table 10, Washington, D. C, November, 19 1*8. Since 191*6-1*7, Federal-State Market News Service, Hop Market Review, San Francisco, California, Nov. 15, 1951. 2£M j 30. TABLE 3 United States Hops, Stocks, September 1, Conscription and Season Average Farm Price, 1933-3U through 1950-51. Season 1933-31; 193U-35 1935- 36 1936- 37 1937- 38 1938- 39 1939- UO 19I4O-U 19M-U2 19U2-U3 19U3-UU 19UU-U5 19U5-U6 19U6-U7 19U7-U8 19U8-U9 19U9-50 1950- 51 1951- 52 Stocks September 1 Domestic consumption 1,000 pounds 1,789 8,658 16,061 15,825 29,29U 25,173 27,069 22,121; 20,008 18,892 10,735 10,110 10,389 16, 266 23,770 28,250 29,9UO 23,700 26,500 26,235 31,773 33,316 37,005 3U,875 32,7U6 31,927 31,155 31;, 512 3U,833 36,515 37,239 36,83U U2,28l 1*1,158 39,701; 37,325 35,750 Stocks as per cent of consumption per cent 6.8 27.2 U8.2 U2.8 81;. 0 76.9 81;. 8 71.0 58.0 51;. 2 29. h 27.1 28.2 38.5 57.8 71.2 80.2 66.3 Season average farm price T cents per pound 30.1; ih.S 9.8 27. h 16.2 19.7 2U.5 26.8 31.9 U5.2 62.2 65.3 6U.9 62.7 68. U 55. U 57.0 62.1 Sources : Cols. 1 and 2: From 1933-3U through 19U5-U6, U. S. Bureau of Agricultural Economics, Outlook for Hops from the Pacific Coast, Washington, D. C, November, 19U8, Table 10. From 19U6-U7 to 1951-52, Federal-State Market News Service, Hop Market Review, San Francisco, November 15, 1951. Col. 3: Col. 1 divided by Col. 2 times 100. Col. it: From 1933-31; through 19U7-U8, U. S. Production and Marketing Administration, Statistics of ^he United States Hop Industry, Table IX, Washington, D. C, November 29, 19U8. From 19U8-U9 through 1950-51, U. S. Bureau of Agricultural Economics, Season Average Prices and Value of Production, Principal Crops, by States, 19H8 and 19U9, 19U9 and 1950, 1950 and 1951. Washing- ton, D. C. t crs. b.iii ,001 TABLE U United States Production of Fermented Malt Liquors, Hops used in Production of Fermented Malt Liquors and Hopping Rate by Crop Years from 1933-3U Crop year beginning September Production of fermented malt liquors 1933-3*4 193U-35 1935- 36 1936- 37 1937- 38 1938- 39 1939- 1+0 191+0-1+1 19fii-U2 19U2-1+3 191+3-U+ 19U1+-U5 19U5-U6 19U6-U7 191+7-1+8 191+3-1+9 19U9-50 1950-51 1,000 barrels 1+0,1+95 1+5,873 53,872 58,U58 5U,55l 5a,U75 54,790 56,835 614,980 71,358 83,854 86,494 82,869 91,530 91,081^ 90,628 88,515 88,698 Hop used in / production of-' fermented malt liquors 1,000 pounds 28,836 31,658 34,516 36,608 33,793 32,485 31,670 31,831 34,806 34,024 36,983 37,240 36,834 42,395 40,927 39,789 37,437 35,987 Hopping rate pounds per barrel 0.712 0.690 0.641 0.626 0.619 0.596 0.578 0.560 0.536 O.U77 0.441 0.430 O.liUU 0.1+63 0.449 0.1+39 0.423 0.U06 a/ Includes small amounts of hop extract. Sources: 1933-3H through 191+6-1+7: U. S. Proauction ana Marketing Administration, Statistics of the United States Hop Industry, Table VIII, November, 191+8. 1947-48 through 1950-51: Col. (l), U. S. Bureau of Internal Revenue, Statistics on fermented Malt Liquors and Cereal Beverages, 1948, 191+9, 1950, 1951, Washington, D. C; Col. (2) U. S. Bureau of Internal Revenue, Com- parative Statistics on Domestic Fermented Malt Liquors, monthly issues, 1947, 191+8, 191+9, 1950, 1951; Col. (3): Col. (2) divided by Col. (1). Washington, D. C. sniqqcH K TABLE 5 Basic Data Used in Regression Analyses. Season Season avei age farm price cents per pound 1923- 24 1924- 25 1925- 26 1926- 27 1927- 28 1928- 29 1929- 30 1930- 31 1931- 32 1932- 33 1933- 34 1934- 35 1935- 36 1936- 37 1937- 38 1938- 39 1939- 40 1940- 41 1941- 4£ 1942- 43 1943- 44 1944- 45 7 18.8 10.3 21.8 23.1 22.9 19.3 11.4 14.8 13.8 17.5 30.4 14.5 9.8 27.4 16.2 19.7 24.5 26.8 31.9 45.2 62.2 65.3 Domestic con- sumption Movement from growers to domestio trade Domestic trade supply- excluding trade carry-in 3.8 3.2 3.4 3.1 3.1 2.7 2.6 2.2 1.8 7.8 26.2 31.8 33.3 37.0 34.9 32.7 31.9 31.2 34.5 34.8 36.5 37.2 mi 1 lion s of pounds 9.9 12.1 14.7 17.0 18.9 20.4 25.7 22.1 22.4 22.4 25.7 29.8 40.5 9.1 42.3 29.2 34.4 34.2 32.0 34.6 36.8 38.7 10.5 12.6 15.3 17.5 19.7 21.1 26.6 23.1 23.7 27.3 31.5 35.0 47.0 20.1 51.5 37.3 41.2 37.9 32.2 34.7 36.8 38.7 United States personal con- sumption ex- penditures | Index of United ' States nonagri- | cultural income, average 1935-1939=100 billions of dollars 46.3 51.9 56.2 62.5 67.1 64.5 67.5 72.1 82.3 91.2 102.2 111.6 103 106 113 116 117 122 118 103 81 68 77 83 96 107 101 104 112 129 146 206 235 252 United States stocks on handj Sept. 1 Relative stocks on hand Sept. 1 (col. 7/ col. 2) Relative stocks on hand Sept. 1 lagged one year 8 millions of pounds 1.8 .068 .327 8.7 .272 .068 16.1 .482 .272 15.8 .428 .482 29.3 .840 .428 25.2 .769 .840 27.1 .848 .769 22.1 .710 .848 20.0 .580 .710 18.9 .542 .580 10.7 .294 .542 10.1 .271 .294 (Continued on next page.) no • - j • ■ • • ■ > • if ••• iT- r * t - - • • ■ O «3 £' ; ' 'j J ' i JL T C CJ "1 J Table 5 continued. Season Ses son ave rage farm price Domestic con- sumption Movement from growers to doine stic trade Doinestic trade supply excluding trade carry- in United States personal con- sumption ex- penditures 5 Index of United States nonagri- cultural income, average 1935-1939=100 6 1 United j States stocks /-\Y1 In fl Tl d ^ept« 1 7 Keiatxve stocks on hand Sept. 1 (col. 7/ col. 2) 8 Relative stocks on hand Sept. 1 lagged one year 9 1945- 46 1946- 47 1947- 48 1948- 49 1949- 50 1950- 51 i certs per 2 13 I * ■mill inns of DOlHlds billions of dollars millions of pounds pound 64.9 62.7 68.4 55.4 57.0 62.1 36.8 42.3 41.2 39.7 37.3 35.8 37.7 33.8 34.9 36.4 31.5 32.9 41.6 37.9 40.5 40.3 37.2 36.2 123.1 146.9 165.6 177.9 180.2 193.6 j 249 266 294 304 316 359 i 10.4 16.3 23.8 28.2 29.9 23.7 I .282 .385 .578 .712 ,802 .663 .271 .282 .385 .0(0 .712 .802 ^ Strauss*' rrAN:^ »*«^r*r ^« **. California. CoL t, tro* U. S. bureau of Foreign and Donatio C„»eroe, National !noo,ne, 196X Edition, A Supplement to the Survey of Current Business, Washington, D. C., 1951. Col. 6, computed from data published monthly in Survey of Current Business, Bureau of Foreign and Domestic Commerce, U. S. Dept. of Commerce. V 1 j. 2A* 2 29 * .' - TABLE 6 Summary of Regression Analyses and Auxiliary Statistics Equa- tion num De- pend- ent vari' able Constant term Independent variables X, X X 5 log 10 X 5 X, Adjusted multiple correla- tion co- efficient la lb Ic Id -1M551 -14.8691 148. 1301 147.3083 1.1408 (1.3705) 1.1407 (U.4222) 0.1371 (0.2108 figures in parentheses are t-ratios 0.0035 (0.0095) 0,3543 (5.2710) 0.3544 (5.^725) 104.4762 (8.2108) 106 . 5092 (13.2654) -1.1007 (3.5193) -1.1017 (3.8847) -1.1245 (5-4100) -1.1239 (5.5885) 0.9003 0.9078 0.9513 0.9545 Ha lib lie lid lie X, Ilia IVa X n 74.2671 74.2250 20.2017 -29.0546 133.2791 17.9664 -65.7886 -0.0013 (0.0062) -0.1083 (1.1143) -0.1083 (1.1564) O.3863 (8.4277) 1.3491 (7.3865) 0.3854 (8.6535) -0.4886 (2.1261) 2.4049 (5.3080) 2.4049 (5.5084) -0.0041 (5.331*0 98.4459 (12.4231 -40.9179 (6.4536) -40.9307 (7.1198) -35.5590 (3.6504) -30.2370 (5.1444) -36.3902 (5-2426) -48.5382 (3.6301) 50.2057 (4. 4642) (3. 2750) 0.9647 0.9673 O.8998 0.9657 0.9504 18.0074 (1.37^+2) 0.9057 0.9355 a/ Sets of equations I and II and equation Ilia to 1950-51, omitting 1941-42 through 1945-46 are for period 1933-34 through 1950-51 • Equation IVa is for period 1923-24 f (See following page for description and sources of variables.) . r ■ t ■ y - ■ Table 6 continued. Source Variable Description of Variable Table Col . 5 1 . Season average farm price of hops (cents per pound). 52 Xg = Domestic consumption (millions of pounds) . 53 X 3 = MoveIDent from g rowers to domestic trade (millions of pounds) 5 1+ x k = Domestic trade supply excluding trade carry- in (millions of pounds) . 55 x s = United States personal consumption expenditures for sets of equations I, II, and III " (billions of dollars); and 5 g Index of United States nonagricultural income for equation IV. X* = Time, origin between 19^1-^2 and 19^2-1+3 (6-month intervals) for sets of equations I, II, and III; origin between 193^-35 and 1935-36 (6-month intervals) for equation IV. 5 7 X 7 = United States stocks on hand, September 1 (millions of pounds) 58 Xg = Relative stocks on hand, September 1 ( = AXg) • 59 x Relative stocks on hand, September 1, lagged one year.