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Distributions

33.

Distribution of trades--specify either (new card, ALPHA) MARKET SHARE USING NORMAL DISTRIBUTION or INVENTORY POSITION OF THE FIRM. Specify one parameter if the former was chosen (new card, REAL)--the standard deviation as a proportion of market share; otherwise, specify zero (new card, REAL). Items 34 to 42 specify probability distributions. In each case the distribution name is specified (new card, ALPHA) from

TRIANGULAR
UNIFORM

NORMAL

LOGNORMAL
EXPONENTIAL

GAMMA

Two parameters must follow each distribution name (new card, REAL). The first is the mean (except for the triangular distribution where it is the mode). The second is the standard deviation (except for triangular where it is the maximum). (The mean and standard deviation are computed for the triangular distribution and listed in the input summary.)

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37. Cash customer certificate arrival time distribution.
Institutional certificate arrival time distribution.
Bank to broker DK resolution time distribution.

38.

39.

40.

41.

42.

Breakdown of customer orders into lot size distribution.

Breakdown of institutional orders into lot size distribution.
Over-the-counter delivery time distribution.

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43.

44.

45.

46.

47.

48.

49.

Stock name (new card, ALPHA)- --same as item 13.

OTC code (new card, INTEGER)--1 for OTC and 0 if issue is
not OTC.

Industry float in 100 share units (INTEGER).

This input is

not used in the current version of the model except for description.

Probability of market recovery from zero volume (REAL fraction). If daily trading volume equals zero, the recursive trading function will not recover. Items 46 and 47 provide a simple method to recover from this case.

Average market recovery volume from zero in 100 share units
(INTEGER).

Number of values contained in the change in volume random
step variable (INTEGER)--
--see next two items and page 13.
List the volume multipliers (REAL) – --same number as in item 48.

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50. List the cumulative probabilities (REAL fraction) associated with each volume multiplier in the random step variable-same number as in item 48.

51.

Proportion of market share per firm (in percent) (INTEGER) specify share of each firm. Sum must be less than or equal to 100.

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52.

List firm data (INTEGER)--list items a to h by firm.

a.

Business attributable to cash customers (in percent).

b. Business attributable to margin customers (in percent).

C.

Business attributable to institutional customers (in
percent).

d. Business attributable to principal customers (in percent).

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Location of firm--0 if New York based; 1 otherwise.

Nonhouse name inventory--at beginning of simulation in
100 share units.

House-name inventory--again an initial figure in 100
share units.

Segregation requirement in 100 share units--the initial
amount of inventory that cannot be used for delivery
orders.

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A number of outputs are generated by the TCS program. Some of these are for debugging and/or tracing trading activities on a very detailed level, and their generation is thus an input specification. Other reports are printed on every run. This section traces a representative sample of a simulation run's output.

Input Summary Report

The Input Summary (Fig. 19) lists most inputs relevant to the simulation. Those inputs associated with suppression of certain reports are excluded. Also certain firm characteristics, such as initial inventories and segregation requirement, are omitted since they appear in the first firm status report after the end of the first simulated trading day. The distribution of percentage changes in volume was described on page 13.

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SIMULATION PARAMETERS:

NUMBER OF FIRMS = 10

NUMBER OF DAYS THE

THE FIRST DAY DATA FUR SUMMARY STATISTICS IS GATHERED =
THE TRADING PATTERN NUMBER

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10

.1000

=

YEARLY INTEREST RATE

STOCK CHARACTERISTICS:

IDENTIFICATION = XYZ

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PROBABILITY OF REMAINING IN A ZERO STATE = .8503
AVERAGE RECOVERY VOLUME FROM ZERO =

DISTRIBUTION OF PERCENTAGE CHANGES IN VOLUME

5

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PROPORTION OF FREE INVENTORY AVAILABLE FOR STUCK LOANS = 85 100
PROPORTION OF TRADES UNCOMPARED =

AVERAGE INTERREGIONAL DELIVERY TIME

5/100

= 2 DAYS

DURATION FIRMS HULD CERTIFICATES NOT IN THEIR NAME
PRIOR TO TRANSFER (FIFO) =

2 DAYS

PROPORTION CASH CUSTOMERS LEAVING CERTIFICATES WITH BROKER =
PROPORTION MARGIN SALES SOLD SHORT =

40/100

5/100

PROPORTION MARGIN BUYS COVERING SHORT POSITION = 5/133
PROPORTION DELIVERIES NOT MADE DUE TO DENOMINATION PROBLEM =
PROPORTION OF BANK TO BPOKER DK'S = 30/100
STOCK LOANS WILL BE MADE TO COVER FAVORED FAILS FOR:
NO DEL IVERY ORDERS

5/100

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DAILY NET SORTED AND EQUALS MATCHED AFTER FACH ORDER MADE

Fig. 19--Input Sericu

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