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The Hypothesis About Market Volatility Effects

To assess the effects of price and price movement, we included in our analysis the following information:

3 price of stock at end of August 1968

4 variation in stock price in August 1968 (range/price).

This allows us to learn how price level for each security and recent volatility in the stock price has affected the probability of a fail. Another indicator-which we did not use in our study because of the high cost of getting the basic data-could be the amount and direction of price movement in the stock between trade date and settlement day.

CONTROLLING FOR OTHER CONDITIONS

Other conditions associated with a trade may mask the effects of the guessed causes, and we included a number of kinds of information in our analysis to control statistically for these conditions.

Controlling for Broker/Dealer Size

Several indicators of broker/dealer size were used, and still others were available for use. We included in our analysis the information:

17 number of exchange/association memberships for buyer

22 number of buyer's employees

24 buyer's total assets

30 number of exchange/association memberships for settler
39 number of settler's employees (log)

41 settler's total assets

Controlling for Broker/Dealer Business Mix

Since both the mix of revenue producing work and the mode of doing the work varies from house to house, we attempted to take this into consideration by including the following information in our analysis:

19 buyer does underwriting or not

20 buyer clears for others or not

21 buyer clears through others or not

31

settler operates on agency basis with public or not

33 settler does underwriting or not

34 settler distributes mutual funds or not

35 settler makes third market in listed securities or not

36 settler clears for others or not

37 settler clears through others or not

38 settler has offices in NY, NJ, Pa., or not.

Controlling for the Size of the Settlement

Some trades and settlements are small, others large. Occasional comments from people in the industry suggested that the size of the settlement may even affect the probability of a fail. In any event, it seemed appropriate to control for the size of the settlement. We included in our analysis the following information:

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Since standards for listing on the three exchanges/associations are different, a rough statistical control for the differences in these standards was accomplished by including in our analysis the information:

7 security listed or not.

Controlling for Short-Term Variation in Workload

Trading volume fluctuates in the short term as well as the longer periods of time, and we controlled for the volume of trading on the three business days prior to the trade by calculating the combined trading volume in shares for the New York and American Stock Exchanges for the time immediately preceding each trade date. Our thought was that the increased or decreased work load in the operations offices could affect their performance and perhaps affect fails. We included the following information in our analysis:

1 trading volume for prior 3 days, NYSE and ASE.

ANALYSIS OF THE DATA

Samples with substantially complete data were chosen for analysis, and the relationship of each of these variables to all others was examined by calculating the correlations among the variables and examining these coefficients by factor analysis. The samples used in our analyses are described in Appendix B, and the method of analysis with some of its technical details is described in Appendix C.

V. THE CAUSES OF FAILS

In the previous chapter we showed how many different kinds of information were observed about each buy in our sample so that we could discover how they may affect the occurrence of a fail. We divided the buys about which we had complete information into two samples, and our analysis of the causes of fails is based on those samples.3 The relationship of each circumstance or variable affecting the trade to every other variable affecting the trade is represented by the correlation matrices presented in Table 6.

Each number in Table 6 is a correlation coefficient. Each coefficient indicates the degree of relation between two conditions affecting the buy.

For example, the buyer's number of employees and the buyer's assets are correlated +.57 in sample B and +.58 in sample C. These correlations, which are positive and much larger than .00, indicate that buyers with a large number of employees also have large dollar assets and a buying broker/ dealer with a small number of employees tends to have small dollar assets. The positive correlation between these two variables indicates that when one of the variables is large the other variable also is large. Since the correlation between dollar assets and number of employees in our sample of buying broker/ dealers is about +.58, we also know that these two variables are not perfectly correlated with each other. If that had been the case the coefficient would have been +1.00, a coefficient indicating the two variables are perfectly correlated with each other. Knowing the number of employees employed by a broker/dealer does not allow one to estimate precisely what the dollar assets of the broker/dealer are since these two variables are not perfectly correlated, but the relatively large positive correlation of +.58 indicates that broker/dealer firms of large size are characterized both by a large number of employees and large dollar assets.

As another example, it can be seen in Table 6 that the correlation between the event that the buyer and settler are in the same town and the number of miles between the buyer and settler is -.72 in sample B and -.71 in sample C. We have represented the fact that the buyer and settler are in the same town by the digit 1 and the fact that buyer and settler are in different towns by the digit 0. We have represented the distance

3. See Appendix B for a discussion of samples B and C.

Trading volume on prior 3 days
Day of settlement before trading day ?
Price of stock at end of Aug 268
Variation in stock price in
Buyer-setiler in some
Buyer- settler distance

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Transfer agent promptness

assy memberships

Buyer number of employees

Buyer employees to to 400
Buyer assets

Buyer net capital ratio

Buyer promptness in settling

Buyer clerical accuracy

Buyer promptness in paying

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Settler clears for others
Settler clears through others
Settler has offices in NY, NJ, PA
Settler number of employees
Settler employees 40 to 400

Sattler assets

Settler net capital ratio
Settler Promptness in settling
Settler clerical accuracy.
Settler promptness in paying
Settler obligation in fails-

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Party other than puyer, setter involved
Time since most recent fails netting
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Number of dollars in settlement
Settlement dollars under

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