Optimize Percentage of Volume Trading Strategy
This example shows how to optimize the strategy for a single stock by minimizing trading costs using transaction cost analysis from the Kissell Research Group. The optimization minimizes trading costs associated with the percentage of volume trading strategy and a specified risk aversion parameter Lambda. The trading cost minimization is expressed as
where trading costs are market impact MI,
price appreciation PA, and timing risk TR. For
details, see marketImpact
, priceAppreciation
, and timingRisk
. This example finds a
local minimum for this expression. For details about searching for the global
minimum, see Optimization Troubleshooting and Tips.
Here, you can optimize the percentage of volume trade strategy. To optimize trade time and trade schedule strategies, see Optimize Trade Time Trading Strategy and Optimize Trade Schedule Trading Strategy.
To access the example code, enter edit
KRGSingleStockOptimizationExample.m
at the command line.
Retrieve Market-Impact Parameters and Create Example Data
Retrieve the market-impact data from the Kissell Research Group 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'); close(f) miData = readtable('MI_Encrypted_Parameters.csv','delimiter', ... ',','ReadRowNames',false,'ReadVariableNames',true);
Create a Kissell Research Group transaction cost analysis object
k
.
k = krg(miData);
Create Single Stock Data
The structure tradeData
contains data for a single stock.
Use a structure or table to define this data. The fields are:
Number of shares
Average daily volume
Volatility
Stock price
Initial percentage of volume trade strategy
Alpha estimate
tradeData.Shares = 100000; tradeData.ADV = 1000000; tradeData.Volatility = 0.25; tradeData.Price = 35; tradeData.POV = 0.5; tradeData.Alpha_bp = 50;
Define Optimization Parameters
Define risk aversion level Lambda
. Set
Lambda
from 0 to Inf
.
Lambda = 1;
Define lower LB
and upper UB
bounds of
strategy input for optimization.
LB = 0; UB = 1;
Define the function handle fun
for the objective function.
To access the code for this function, enter edit
krgSingleStockOptimizer.m
.
fun = @(pov)krgSingleStockOptimizer(pov,k,tradeData,Lambda);
Minimize Trading Costs for Trade Strategy
Minimize the trading costs for the percentage of volume trade strategy.
fminbnd
finds the optimal value for the percentage of
volume trade strategy based on the lower and upper bound values.
fminbnd
finds a local minimum for the trading cost
minimization expression.
[tradeData.POV,totalcost] = fminbnd(fun,LB,UB);
Display the optimized trade strategy tradeData.POV
.
tradeData.POV
ans = 0.35
Estimate Trading Costs for Optimized Strategy
Estimate the trading costs povCosts
using the optimized
trade strategy.
mi = marketImpact(k,tradeData); pa = priceAppreciation(k,tradeData); tr = timingRisk(k,tradeData); povCosts = [totalcost mi pa tr];
Display trading costs.
povCosts
100.04 56.15 4.63 39.27
The trading costs are:
Total cost
Market impact
Price appreciation
Timing risk
For details about the preceding calculations, contact the Kissell Research Group.
References
[1] Kissell, Robert. “Algorithmic Trading Strategies.” Ph.D. Thesis. Fordham University, May 2006.
[2] Kissell, Robert. The Science of Algorithmic Trading and Portfolio Management. Cambridge, MA: Elsevier/Academic Press, 2013.
[3] Glantz, Morton, and Robert Kissell. Multi-Asset Risk Modeling. Cambridge, MA: Elsevier/Academic Press, 2013.
[4] Kissell, Robert, and Morton Glantz. Optimal Trading Strategies. New York, NY: AMACOM, Inc., 2003.
See Also
fminbnd
| marketImpact
| priceAppreciation
| timingRisk
| krg