costCurves

Estimate market-impact cost of order execution

Syntax

cc = costCurves(k,trade,tradeQuantity,tqRange,tradeStrategy,tsRange)

Description

cc = costCurves(k,trade,tradeQuantity,tqRange,tradeStrategy,tsRange) returns the market-impact costs of order execution using:

• Kissell Research Group (KRG) transaction cost analysis object k

• Trade data trade

• Trade quantity tradeQuantity with a range of values tqRange

• Trade strategy tradeStrategy with a range of values tsRange

Examples

Estimate Market-Impact Cost for an Order

Retrieve the market impact data from the KRG FTP site. Connect to the FTP site using the ftp function with a user name and password. Navigate to the MI_Parameters folder and retrieve the market impact data in the MI_Encrypted_Parameters.csv file. miData contains the encrypted market impact date, code, and parameters.

f = ftp('ftp.kissellresearch.com','username','pwd');
mget(f,'MI_Encrypted_Parameters.csv');

miData = readtable('MI_Encrypted_Parameters.csv','delimiter', ...
    ',','ReadRowNames',false,'ReadVariableNames',true);

Create a Kissell Research Group transaction cost analysis object k.

k = krg(miData);

Load the example data from the file KRGExampleData.mat, which is included with the Datafeed Toolbox™.

load KRGExampleData

The variable TradeData appears in the MATLAB^® workspace.

TradeData contains these variables:

• Stock symbol

• Stock price

• Average daily volume

• Volatility

For a description of the example data, see Interpret Variables in Kissell Research Group Data Sets.

Estimate market-impact costs with the trade quantity 'Size' and strategy 'POV'. Specify the trade quantity range with increments of 0.01 by starting from 0.01 and ending at one. Specify the trade strategy range with increments of 0.05 by starting from 0.05 and ending at 0.5.

cc = costCurves(k,TradeData,'Size',(0.01:0.01:1),'POV',(0.05:0.05:0.5));

Display the first three rows of market-impact cost data.

cc(1:3,:)

ans = 

    Symbol    Size     Shares       Dollars      POV     TradeTime    Cost_BP    Cost_DollarsPerShare    Cost_Dollars
    ______    ____    _________    __________    ____    _________    _______    ____________________    ____________

    'AAL'     0.01    114764.24    6251208.50    0.05    0.19         11.42      0.06                     7139.93    
    'AAL'     0.01    114764.24    6251208.50    0.10    0.09         17.93      0.10                    11210.76    
    'AAL'     0.01    114764.24    6251208.50    0.15    0.06         23.42      0.13                    14637.37    

The market-impact cost data contains:

• Stock symbol

• Size

• Number of shares in the transaction

• Dollar amount of the transaction

• Percentage of volume to complete the transaction

• Trade time to complete the transaction in percentage of the day

• Market-impact cost in basis points

• Market-impact cost in dollars per share

• Market-impact cost in dollars

Display cost curves for the first stock for these percentage of volume rates: 5%, 15%, 25%, and 35%.

figure
subplot(2,2,1) 
plot(cc.Size(1:10:1000)*100,cc.Cost_BP(1:10:1000))
grid on
axis([0 100 0 250]) 
xlabel({'Size','(%ADV)'}) 
ylabel({'Cost','(bps)'}) 
title('POV = 5%') 
a = gca; 
a.XAxis.TickLabelFormat = '%g%%';

subplot(2,2,2) 
plot(cc.Size(3:10:1000)*100,cc.Cost_BP(3:10:1000)) 
grid on
axis([0 100 0 250]) 
xlabel({'Size','(%ADV)'}) 
ylabel({'Cost','(bps)'}) 
title('POV = 15%') 
b = gca; 
b.XAxis.TickLabelFormat = '%g%%';

subplot(2,2,3) 
plot(cc.Size(5:10:1000)*100,cc.Cost_BP(5:10:1000)) 
grid on
axis([0 100 0 250]) 
xlabel({'Size','(%ADV)'}) 
ylabel({'Cost','(bps)'}) 
title('POV = 25%') 
c = gca; 
c.XAxis.TickLabelFormat = '%g%%';

subplot(2,2,4) 
plot(cc.Size(7:10:1000)*100,cc.Cost_BP(7:10:1000)) 
grid on
axis([0 100 0 250]) 
xlabel({'Size','(%ADV)'}) 
ylabel({'Cost','(bps)'}) 
title('POV = 35%') 
d = gca; 
d.XAxis.TickLabelFormat = '%g%%';

This figure demonstrates how fast to trade a specific order size within a price level.

Input Arguments

k — Transaction cost analysis

KRG object

Transaction cost analysis, specified as a KRG object created using krg.

trade — Trade data

table | structure

Trade data that describes the stocks in the transaction, specified as a table or structure. trade must contain these variable or field names.

Variable or Field Name	Description
Symbol	Stock symbol
Price	Stock price
ADV	Average daily volume
Volatility	Volatility

Example: trade = table({'XYZ'},100.00,860000,0.27,'VariableNames',{'Symbol' 'Price' 'ADV' 'Volatility'})

Example: trade = struct('Symbol','XYZ','Price',100.00,'ADV',860000,'Volatility',0.27)

These examples do not represent real market data.

Data Types: struct | table

tradeQuantity — Trade quantity

'Size' | 'Shares' | 'Dollars'

Trade quantity, specified as one of these values.

Value	Trade Quantity Description
'Size'	Shares in the transaction, which is a percentage of average daily trading volume
'Shares'	Number of shares in the transaction
'Dollars'	Total value of the transaction

tqRange — Trade quantity range

vector

Trade quantity range, specified as a vector. costCurves uses these values with the trade strategy range values to estimate market-impact costs for different quantities and strategies.

Example: 'Size',(0.01:0.01:1) specifies a trade quantity range with increments of 0.01 starting from 0.01 and ending at one

Data Types: double

tradeStrategy — Trade strategy

'POV' | 'TradeTime'

Trade strategy, specified as one of these values.

Values	Trade Strategy Name
'POV'	Percentage of volume
'TradeTime'	Trade time in percentage of the day

tsRange — Trade strategy range

vector

Trade strategy range, specified as a vector. costCurves uses these values with the trade quantity range values to estimate market-impact costs for different quantities and strategies.

Example: 'POV',(0.05:0.05:0.5) specifies a trade strategy range with increments of 0.05 starting from 0.05 and ending at 0.5

Data Types: double

Output Arguments

cc — Cost curves

table | structure

Cost curves, returned as a table or structure with these variable names or fields.

Variable or Field Name	Description
Symbol	Stock symbol
Size	Shares in a transaction in percentage of average daily trading volume
Shares	Number of shares in the transaction
Dollars	Dollar amount of the transaction
POV	Percentage of volume to complete the transaction
TradeTime	Trade time to complete the transaction in percentage of the day
Cost_BP	Market-impact cost of the transaction in basis points
Cost_DollarsPerShare	Market-impact cost of the transaction in dollars per share
Cost_Dollars	Market-impact cost of the transaction in dollars

Tips

• For details about the calculations, contact Kissell Research Group.

References

[1] Kissell, Robert. “A Practical Framework for Transaction Cost Analysis.” Journal of Trading. Vol. 3, Number 2, Summer 2008, pp. 29–37.

[2] Kissell, Robert. “Algorithmic Trading Strategies.” Ph.D. Thesis. Fordham University, May 2006.

[3] Kissell, Robert. “TCA in the Investment Process: An Overview.” Journal of Index Investing. Vol. 2, Number 1, Summer 2011, pp. 60–64.

[4] Kissell, Robert. The Science of Algorithmic Trading and Portfolio Management. Cambridge, MA: Elsevier/Academic Press, 2013.

[5] Kissell, Robert, and Morton Glantz. Optimal Trading Strategies. New York, NY: AMACOM, Inc., 2003.

Version History

Introduced in R2016a