RECIPROCAL EXCHANGE NETWORKS: IMPLICATIONS FOR MACROECONOMIC STABILITY

James Stodder (stodder@rh.edu), Rensselaer at Hartford, Hartford CT, 06120 (August 2000)

An earlier version of this paper was presented at the International Electronic and Electrical Engineering (IEEE) Engineering Management Society (EMS) Conference, in Albuquerque, New Mexico, August 2000.

Abstract: "Barter rings" in the US and Switzerland do billions of dollars of trade each year. Their turnover is seen to be counter-cyclical. Most studies of the internet's macroeconomic impact focus on the stabilizing effect of greater price and inventory flexibility. The pre-internet experience of these systems, however, suggests that, for networks independent of direct monetary exchange, expanded credit availability may be even more stabilizing.

I. Introduction

Faster and cheaper information on the internet means greater macroeconomic stability. That, at least, is a well-publicized view of internet-based commerce. By making it possible for purchasing firms and households to compare prices more widely, e-commerce has forced better price flexibility and greater resistance to inflation (Greenspan, 1999). Better supply tracking and demand estimation also helps keeps inventories lean, thus tamping down unplanned inventories (Wenninger 1999), an important precursor of recession.

But this literature on price and inventory flexibility has ignored another way that better information can be macro-stabilizing. As any loan-officer or central banker can attest, the prudent allocation of credit is both knowledge-intensive and highly uncertain. What if, instead of trying to estimate the proper amount of money and credit to complete all transactions, the balancing of all supplies and demands were known and calculated, through a central clearing house? The problem of how much money-stuff to create would disappear; money, in the conventional sense, would no longer exist.

Such moneyless exchange took place in the ancient storehouse economies (Polanyi 1947), and in the simplified models of microeconomic exchange -- both under conditions where the relevant information is centralized. The ancient storehouses economies collapsed, and monetary systems (from a root meaning 'to monitor') evolved because the information required to coordinate a complex economy was far too great to be centralized (Stodder 1995).

The internet is once again making large-scale information-centralization efficient, and centralized barter is an emerging form of e-commerce. Barter clearing-houses are growing with internet startups like swap.com, BarterTrust.com, and uBarter.com (Anders 2000).

The possible implications of moneyless business are not straightforward, nor without controversy. A few prominent economists have speculated that computer-networked barter might eventually replace our decentralized money -- as well as its centralized protector, central banking. Such questions have recently been asked by leading macroeconomists like Mervyn King, Deputy Governor of the Bank of England (King 1999, Beattie 1999), and Benjamin Friedman of Harvard (1999).

Friedman's view that central banking may be seriously challenged was a lead topic at a recent World Bank conference on the "Future of Monetary Policy and Banking" (World Bank 2000). His warnings have even sparked a pair of skeptical reviews in the Economist Magazine of London (2000a, 2000b). But no one, as far as I know, has looked at the direct evidence on this issue, the large-scale barter networks in existence for decades.

II. Statement of the Argument

If barter is informationally-centralized - on a network where, via a central resource, all parties can scan each other's bids and offers - it will tend to be counter-cyclical. The central records of such barter, possibly on computers, will track the bids (unmet demands) and offers (excess supplies) of all agents on the network. This is far more knowledge than is available to any "central" bank -- the knowledge it has to set the money-supply basis of exchange. Its broad monetary aggregates sit atop the decentralized "real" data in which investors and central bankers are interested. To get at this information, the bank can only scan indirect monetary indicators -- ratings of credit-worthiness, and statistical leading indicators.

This is not to imply that a centralized barter administration cannot make mistakes, cannot extend too much or too little credit. Credit "inflation" was indeed evident in the early history of the world's largest barter exchange, the "Economic Ring" (Wirtschaftsring, or WIR) of Switzerland (Defila 1994, Stutz 1994). Such a centralized barter exchange, however, will have a better knowledge base on which to extend credit than any central bank.

The WIR was inspired by the ideas of an early 20th-century economist, Silvio Gesell (Defila 1994). Yet only one contemporary economist, to my knowledge, has examined the macroeconomic record of the WIR. Studer (1998) finds positive correlation between WIR credits advanced and the Swiss money supply, M1. This suggests that WIR follows a counter-cyclical credit "policy," one parallel to the monetary policy of the Swiss central bank. The data used in Studer's study, however, go back only to 1994.

This paper examines the historic data on two large barter exchanges -- the WIR, founded in 1930s Switzerland, and the International Reciprocal Trade Association (IRTA), founded in the US in the early 1970s. The data will show that the economic activity of both exchanges is counter-cyclical, rising and falling against, rather than with, the business cycle.

III. The Data

Because the financial record of these exchanges is not widely known, I provide the basic data. The North American data are available online (IRTA 1999). In the regressions to follow, I have only used the series up to 1995, as the website states that the more recent years are extrapolations.

Table 1: Volume of Corporate Barter,

North American Companies, 1974-1995

(in Millions of Current US Dollars)

Year

Volume

Year

Volume

1974

$850

1986

$3200

1976

980

1987

3470

1977

1130

1988

3750

1978

1300

1989

4050

1979

1500

1990

4550

1980

1720

1991

5100

1981

1980

1992

5570

1982

2200

1993

6050

1983

2440

1994

6560

1984

2680

1995

7216

1985

2900

Source: Barter by North American Companies, (http://ww2.dgsys.com/~irta/statisti.html).

Note that data for 1975 are missing, and in the present study, are interpolated. For the

regressions, these nominal figures were adjusted by a 1992-based deflator for services,

as explained in the text.

These IRTA data are evidently not of the highest quality. Table 1 shows clear rounding-off, and should therefore be considered only a first-order approximation. Whatever biases may have colored the compilation of this data, however, the desire to show a counter-cyclical tendency was apparently not one of them. I know of no empirical studies of the IRTA, apart from my own (Stodder 1998), that claim to find such macroeconomic stabilization. Paradoxically, this is a source of some confidence.

Note that high-quality data on total barter transactions carried out though the IRTA do exist, but are not in the public domain. All commercial barter credits count as regular income and must be filed on Form 1099-B of the US Internal Revenue Service (IRTA, 1995). Since the IRTA Corporate Trade Council (CTC) for these years showed no Canadian or Mexican companies, it is reasonable to conclude that most of the "North American" barter is US.

Although the US has more complete public economic statistics than almost any other country, the Swiss banking tradition is famous for the quality of its private records. The WIR, organized as a bank, is no exception, giving three time-series to the US one.

 

 Table 2: Barter Turnover, Number of Firms, and Credit-on-Turnover, WIR-Bank, 1948-99

(in Millions of Current Swiss Franks)

Year

Turnover

Participants

Credit

Year

Turnover

Participants

Credit

1948

1.1

814

0.3

1974

200.0

20902

73.0

1949

2.0

1070

0.5

1975

204.7

21869

78.9

1950

3.8

1574

1.0

1976

223.0

23172

82.2

1951

6.8

2089

1.3

1977

233.2

23929

84.5

1952

12.6

2941

3.1

1978

240.4

24479

86.5

1953

20.2

4540

4.6

1979

247.5

24191

89.0

1954

30.0

5957

7.2

1980

255.3

24227

94.1

1955

39.1

7231

10.5

1981

275.2

24501

103.3

1956

47.2

9060

11.8

1982

330.0

26040

127.7

1957

48.4

10286

12.1

1983

432.3

28418

159.6

1958

53.0

11606

13.1

1984

523.0

31330

200.9

1959

60.0

12192

14.0

1985

673.0

34353

242.7

1960

67.4

12567

15.4

1986

826.0

38012

292.5

1961

69.3

12445

16.7

1987

1065.0

42227

359.3

1962

76.7

12720

19.3

1988

1329.0

46895

437.3

1963

83.6

12670

21.6

1989

1553.0

51349

525.7

1964

101.6

13680

24.3

1990

1788.0

56309

612.5

1965

111.9

14367

25.5

1991

2047.0

62958

731.7

1966

121.5

15076

27.0

1992

2404.0

70465

829.8

1967

135.2

15964

37.3

1993

2521.0

76618

892.3

1968

152.2

17069

44.9

1994

2509.0

79766

904.1

1969

170.1

17906

50.3

1995

2355.0

81516

890.6

1970

183.3

18239

57.2

1996

2262.0

82558

869.8

1971

195.1

19038

66.2

1997

2085.0

82793

843.6

1972

209.3

19523

69.3

1998

1976.0

82751

807.7

1973

196.7

20402

69.9

1999

1833.0

82487

788.7

Sources: Data to 1983 are from Meierhofer (1984). Subsequent years are from

Annual Reports and WIR, public relations department (2000).

 

IV. The Regression Results

United States

Figures 1 and 2 below give visual evidence of Corporate Barter's "mirror image" or negative correlation with US GDP, and its more positive correlation with Wholesale Inventories.

To deflate the nominal IRTA data of Table 1, the 1992 chained price index for Services was used. By most accounts US corporate barter is heavily weighted toward services (Healey 1996), especially in media and advertising. Gross Domestic Product is in real terms, using a 1992 chained deflator, from the Economic Report of the President (1996).

Figure 1: Annual Change in US GDP and Corporate Barter (1992 Prices), 1974-95.

Figure 2: Annual Change in US Wholesale Inventories (left axis) and Corporate Barter

(right axis) 1992 Prices, 1974-95.

Right-hand-side variables (in Table 3) are a Time trend, Wholesale Inventories, the percentage of Unemployment, and the Gross Domestic Product of the US economy. There is clear multicollinearity between these last two, as demonstrated by the R-squared term being virtually unchanged when either one of them is dropped, in the last three estimates. Inventories show less multicollinearity, going "both ways" in the business cycle -- rising with expected upturns, but also with unexpected downturns. As a result of this independence, the coefficient on Inventories is significant throughout.

Estimates in Table 3 are first-order auto-regressive (AR1). Durbin Watson statistics fall mostly into the indeterminate area, so the null hypothesis of no auto-correlation can be rejected at level 5 percent. Regression [4] shows positive auto-correlation.

The coefficient on each variable is significant in at least one equation. All coefficients have signs consistent with the hypothesis of barter being counter-cyclical.

Table 3: US IRTA Corporate Barter, as Explained by Macroeconomic Variables

Dependent Variable: Corporate Barter, 1974-1995

(t-stats in italics, * : p-value < 0.05, o : p <0.10)

Equation

[1]

[2]

[3]

[4]

Variable

Constant

1407.73

-344.37

2174.86

1070.110

0.641

-0.446

3.496*

2.363

Time

132.118

71.835

159.491

131.782

1.659

1.977 o

6.120*

5.099*

Wholesale Inv.

15.635

17.656

14.135

8.869

2.801*

3.512*

3.825*

2.719*

Unemploy.

-0.342

55.034

-0.851

2.172*

GDP

18.279

-0.468

0.365

-2.345*

Regress. Mthd

AR1

AR1

AR1

AR1

R-squared

0.892

0.893

0.890

0.861

Adj. R-squared

0.867

0.875

0.871

0.846

Durbin-Watson

1.323

1.271

1.305

0.824

Rho

0.929

0.927

0.929

0.927

t-stat. of Rho

14.788*

14.706*

15.166*

15.014*

Log likelihood

-124.14

-124.60

-124.22

-127.16

Observations

22

22

22

22

Sources: IRTA (1995a) and Economic Report of the President (1996). Also, see Stodder (1998).

 

Switzerland

As Figure 3 below shows, growth in the number of WIR Participants has tracked Swiss Unemployment very closely, consistently maintaining a rate of about one-tenth the increase in the number of unemployed. Indeed, in the following regressions, the Unemployment term is the only one with strongly significant coefficients. The importance of Unemployment to WIR's Participant trend probably reflects its exclusion of "large" businesses, as established in the bank's rules since 1973 (Defila 1994). Employees in smaller firms are generally more subject to unemployment risks. Note that only 40 observations were available in these regressions, since the OECD data on Inventories only go back to 1960.

Figure 3: Change in number of Swiss Unemployed (in 1000s, left axis) and in

number of WIR Participant-Accounts (in 1000s, right axis), 1948-99.

To deflate the WIR data, a chained price deflator on 1990 GDP is used. In Table 4 the dependent variable is the change in number of Participants. Right-hand-side variables are the Change in Unemployment, Change in Gross Domestic Product, and Change in all Private Inventories -- all in actual and not in percentage terms. The Durbin-Watson statistics show the hypothesis of no positive correlation cannot be rejected at 5 percent.

 

Turnover is seen to be largely pro-cyclical, rising and falling in tandem with the change in GDP and against changes in Inventories (See Figures 4 and 6). Credit advanced by the WIR, on the other hand, is highly counter-cyclical, correlated against GDP and with Inventories (See Figures 5 and 7).

 

Figure 4: Change in Swiss GDP (left axis), and Change in Total WIR Turnover (right axis), both in 1990 Swiss Franks, 1948-99.

Figure 5: Change in Swiss GDP (left axis), and Change in Credits Advanced in WIR (right axis), both in 1990 Swiss Franks, 1948-99.

 

 

Figure 6: Change in Swiss Inventories, Millions of 1990 Swiss Franks (left axis),

and Change in Annual Turnover in WIR (right axis), 1960-99.

 

Figure 7: Change in Swiss Inventories, Millions of 1990 Swiss Franks (left axis),

and Total Credits advanced in WIR (right axis), 1960-99.

In Table 4 below, Change in the number or WIR Participants is regressed against Change in Unemployment (in thousands, not as a percentage), Change in real GDP (in 1990 Swiss Franks), and Change in Real Inventories (also 1990 based.) The impression of an overwhelming correlation between membership and unemployment, seen in Figure 4, is confirmed. R-squared terms are relatively low, however, and the Durbin-Watson term is in the indeterminate region, so the null hypothesis of first-order autocorrelation cannot be rejected at the 5% level.

Table 4: Participants in the WIR Barter Network, as Explained by Macroeconomic Variables 1960-1999

Dependent Variable: Change in Number of WIR Participants**

(t-stats in italics, * : p-value < 0.05, o : p <0.10)

Equations

[1]

[2]

[3]**

Variable

Constant

1381.46

1368.13

-9.011

1.299

1.291

-2.808*

Change Unemploy.

19.299

20.280

0.0242

3.130*

3.088*

1.485*

Change GDP

0.01251

1.892

0.470

5.767*

Change Inventories

-0.0674

-0.0824

-0.363

-1.992*

-1.761 o

-2.272*

Regression Method

AR1

AR1

AR1

R-squared

0.279

0.283

0.963

Adj. R-squared

0.240

0.223

0.960

Durbin-Watson Stat.

1.344

1.37051

0.627

Rho (autocorrelation)

0.9163

0.915

0.986

t-statistic of Rho

16.691*

16.251*

63.098*

Log likelihood

-318.006

-317.884

58.191

Number

40

40

36

** natural log of original, not

change term, in [3]

Sources: OECD: "Historical Statistics" (1998), "Economic Surveys: Switzerland" (1999); IMF: "Economic Outlook" (2000); Madison (1995); and Mitchell (1998).

 

In Table 5, annual Real Turnover in WIR, again in 1990 Swiss Franks, is regressed against the same variables as in Table 4 above. Note that Turnover is correlated with Unemployment, and thus counter-cyclical to this extent -- just as Membership was in the previous table. However, we now find a positive correlation with GDP, and a negative correlation with Inventories -- and thus a pro-cyclical relationship with these variables. Most coefficients are significant, but the low R-squared and Durbin-Watson terms do not inspire confidence.

In Table 6, I regress Credit against a slightly different set of variables, here using Change in Gross Capital (which includes inventories) rather than the change in inventories itself. With decreased value of existing capital stock in a recession, this emphasizes the counter-cyclical aspect even more. The regressions with high Durbin-Watson statistics [1] and [2], show low R-squares, and those with high R-squares, the log forms [3] and [4], show low Durbin-Watsons.

Despite their plausible signs and significance of the coefficients, none of the regressions in Tables 4-6 are convincing, because of possible auto-correlation and low R-squared problems. In the final regressions, Table 7 below, these problems are partly resolved.

Table 5: Total Turnover in the WIR Barter Network, as Explained by Macroeconomic Variables 1960-1999

Dependent Variable: Change in Annual Turnover of WIR-Bank

(t-stats in italics, * : p-value < 0.05, o : p <0.10)

Equations

[1]

[2]

[3]**

[4]**

Variable

Constant

1381.46

1368.13

-9.011

-38.792

1.299

1.291

-2.808*

-5.077*

Change Unemploy.

19.299

20.280

0.0242

0.1068

3.130*

3.088*

1.485*

2.677*

Change GDP

0.01251

1.892

3.594

0.470

5.767*

5.752*

Change Inventories

-0.0674

-0.0824

-0.363

-1.992*

-1.761 o

-2.272*

Regression Method

AR1

AR1

AR1

AR1

R-squared

0.279

0.283

0.963

0.0417

Adj. R-squared

0.240

0.223

0.960

.261E-2

Durbin-Watson Stat.

1.344

1.37051

0.627

0.772

Rho (autocorrelation)

0.9163

0.915

0.986

0.971

t-statistic of Rho

16.691*

16.251*

63.098*

38.808*

Log likelihood

-318.006

-317.884

58.191

13.034

Number

40

40

36

52

** natural log of original, not

"change" term, used

in

[3], [4].

Sources: Same as Table 4.

 

 

 

Table 6:Credit Advanced in the WIR Barter Network, as Explained by Macroeconomic Variables 1960-1999

Dependent Variable: Change in Annual Credit Advanced by WIR-Bank

(t-stats in italics, * : p-value < 0.05, o : p <0.10)

Equations

[1]

[2]

[3]**

[4]**

Variable

Constant

11.034

10.172

-1.112

--25.554

1.186

1.17157

-0.336

-4.578*

Change Unemploy.

0.433

0.455

0.0692

0.0538

2.154*

2.373*

1.864 o

1.697 o

Change GDP

-0.207

2.6536

-0.370

4.488*

Change Gross Cap.

0.5734

-0.179

2.024*

-0.566

Regression Method

AR1

AR1

AR1

AR1

R-squared

0.103

0.101

0.281

0.690

Adj. R-squared

0.0662

0.0829

0.237

0.661

Durbin-Watson Stat.

2.490*

2.497*

0.592

0.818

Rho (autocorrelation)

0.6967

0.689

0.994

0.964

t-statistic of Rho

6.902*

6.82298

116.617

30.564*

Log likelihood

-224.595

-224.665

27.130

34.412

Number

51

51

36

36

** natural log of original, not

"change" term, used

in

[3], [4].

Sources: Same as Table 4.

In Table 7, I use the ratio of Credit over total barter Turnover. In contrast to the results of Table 4, the regressions on number of WIR participants, I find that the Unemployment term is now not significant. The "Change in Inventories and Change in GDP, are highly significant in regression [2]. The Durbin-Watson statistic for this equation, however, indicates that the null hypothesis of first-order autocorrelation cannot be rejected at five percent.

Since the previous regressions show Credit as correlated with Inventories, while Turnover volume is correlated with GDP, the ratio of Credit to Turnover in Table 7, therefore, correlates with Inventories and against GDP. As in the IRTA regressions of Table 3, however, collinearity is evident between the GDP and Inventory terms. In both cases some functional relationship is likely, although it is not specified here.

  

Table 7: WIR Credit-Turnover Ratio, as Explained by Macroeconomic Variables 1948-1999

Dependent Variable: Annual Ratio of Credit to Turnover,

(t-stats in italics, * : p-value < 0.05, o : p <0.10)

Equations

[1]

[2]

[3]

[4]

Variable

Constant

1.86E-01

1.89E-01

1.92E-01

2.45E-01

5.314*

5.448*

5.067*

11.192*

Time

4.66E-03

4.49E-03

4.34E-03

3.04E-03

4.402*

4.648*

4.123*

4.400*

Unemploy.

-5.50E-05

-0.384

Change GDP

-1.53E-06

-1.52E-06

-8.73E-07

-2.633*

-2.659*

-1.767 o

Chnge Invnt.

2.23E-06

2.23E-06

3.63E-07

2.089*

2.129*

0.434

Regress.Mthd

AR1

AR1

AR1

AR1

R-squared

0.457

0.419

0.343

0.568

Adj.R-squrd

0.394

0.396

0.307

0.550

Durb.-Watson

2.069*

1.664

2.229*

2.413*

Rho

0.832

0.983

0.846

0.788

t-stat. of Rho

9.788*

65.533*

10.709*

9.057*

Log liklhood

-111.74

-416.85

-108.08

-132.53

Number

40

40

40

52

Sources: Same as Table 4.

V. Conclusions and Implications

The Swiss results are less persuasive than the US, perhaps due to the poorer coverage of its national data (Maddison 1995, p. 135) -- as opposed to its barter exchange data. Nevertheless, there is substantial evidence for the general form of our hypothesis, that centralized barter exchange is counter-cyclical.

There remains the vital question, however, as to why this counter-cyclicity occurs. A basic difference of opinion exists within macroeconomic theory as to whether instability is more due to price rigidity, or to inappropriate levels of money and credit. Keynes (1936) recognized that both conditions can and do apply, and that either can lead to instability.

The reigning macroeconomic consensus, as represented by Mankiw (1993), puts the blame more on rigid prices; economists like Colander (1996) stress monetary and credit conditions. Reflecting the consensus around the "sticky price" school of macroeconomics, most commentary on the impact of e-commerce has concentrated on prices, as we have seen. But if a barter exchange's members charge prices that do not diverge significantly from its cash prices -- those charged to their non-members -- then counter-cyclicity may derive from barter's ability to create credit.

The two barter exchanges studied here have very different pricing practices. The North American IRTA is likely to benefit its participants through greater price flexibility, and even under-the-table "discounts" off the list price (Magenheim and Murrell 1988). The Swiss WIR, by contrast, is unlikely to engage in pricing that differs substantially from cash deals. WIR credits cannot be exchanged for cash at a discount, a decision historian Defila (1994) sees as crucial for the organization.

The IRTA is a loose affiliation of "barter middle-men," not a nationally centralized exchange like the WIR-bank. The totality of the US barter exchanges is far smaller than WIR, both absolutely and relative to the national economy. IRTA activities are less public and less centralized, and therefore, far less subject to the scrutiny of other customers.

Prices available to members of the WIR, by contrast, are usually matters of public information. Lower prices on barter than cash would surely divert trade to the former. This is undesirable for most businesses. Within a cash-wide economy, other things being equal, cash is always preferred (Healey 1996).

The possibility remains that barter may have forced greater flexibility in network members' cash prices. But since WIR's bylaws restrict membership to small and medium businesses (Defila 1994), members will usually have had little price-setting power. Thus, the counter-cyclical history of WIR is likely more due to its credit creation than to added price flexibility. Inventory flexibility, however, could also be a factor, even before wide-scale use of computers. The IRTA's counter-cyclical path probably derives from all three causes, with effects more closely balanced.

Whatever the causes, if these network exchanges are indeed counter-cyclical, this is not the case for all "network economies". Telecommunications networks are highly subject to increasing returns to scale, unlike older industries -- and standard neoclassical theory (Romer 1997, Howitt and Phillipe 1998). Such industries are likely to fuel faster growth, but also, as their importance to the economy increases, greater macroeconomic instability.

Networks like those studied here also have increasing returns and "network externalities," yet appear to be counter-cyclical. Although started long before the internet, these networks offer important historical evidence on the macroeconomics of barter.

It is not too soon to begin studying this evidence. To quote Mervyn King, Deputy Governor of the Bank of England, the logic of electronic barter may imply that "central banks in their present form would no longer exist; nor would money….The successors to Bill Gates could put the successors to Alan Greenspan out of business." (King 1999)

 

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