org.drip.execution.profiletime

Class UniformParticipationRateLinear

java.lang.Object

org.drip.execution.profiletime.UniformParticipationRateLinear

All Implemented Interfaces:

BackgroundParticipationRate, BackgroundParticipationRateLinear

public class UniformParticipationRateLinear
extends java.lang.Object
implements BackgroundParticipationRateLinear

UniformParticipationRateLinear exposes the Uniform Background Profile Adjusted Version of the Linear Participation Rate Transaction Function as described in the "Trading Time" Model. The References are: - Almgren, R. F., and N. Chriss (2000): Optimal Execution of Portfolio Transactions, Journal of Risk 3 (2) 5-39. - Almgren, R. F. (2009): Optimal Trading in a Dynamic Market https://www.math.nyu.edu/financial_mathematics/content/02_financial/2009-2.pdf. - Almgren, R. F. (2012): Optimal Trading with Stochastic Liquidity and Volatility, SIAM Journal of Financial Mathematics 3 (1) 163-181. - Geman, H., D. B. Madan, and M. Yor (2001): Time Changes for Levy Processes, Mathematical Finance 11 (1) 79-96. - Jones, C. M., G. Kaul, and M. L. Lipson (1994): Transactions, Volume, and Volatility, Review of Financial Studies 7 (4) 631-651.

Author:

Lakshmi Krishnamurthy

Constructor Summary

Constructors

Constructor and Description
UniformParticipationRateLinear(ParticipationRateLinear prl) UniformParticipationRateLinear Constructor

Method Summary

Modifier and Type	Method and Description
TransactionFunction	epochImpactFunction() Compute the Epoch Market Impact Function
ParticipationRateLinear	epochLiquidityFunction() Compute the Epoch Liquidity Market Impact Function
TransactionFunction	impactFunction(double dblTime) Compute the Market Impact Function from the Volatility Function
ParticipationRateLinear	liquidityFunction(double dblTime) Compute the Liquidity Market Impact Function from the Volatility Function

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

UniformParticipationRateLinear

public UniformParticipationRateLinear(ParticipationRateLinear prl)
                               throws java.lang.Exception

UniformParticipationRateLinear Constructor

Parameters:

prl - The Linear Participation Rate Transaction Function

Throws:

java.lang.Exception - Thrown if the Inputs are Invalid

Method Detail

impactFunction

public TransactionFunction impactFunction(double dblTime)

Description copied from interface: BackgroundParticipationRate

Compute the Market Impact Function from the Volatility Function

Specified by:

impactFunction in interface BackgroundParticipationRate

Parameters:

dblTime - The Time Snapshot

Returns:

The Market Impact Function

epochImpactFunction

public TransactionFunction epochImpactFunction()

Description copied from interface: BackgroundParticipationRate

Compute the Epoch Market Impact Function

Specified by:

epochImpactFunction in interface BackgroundParticipationRate

Returns:

The Epoch Market Impact Function

liquidityFunction

public ParticipationRateLinear liquidityFunction(double dblTime)

Description copied from interface: BackgroundParticipationRateLinear

Compute the Liquidity Market Impact Function from the Volatility Function

Specified by:

liquidityFunction in interface BackgroundParticipationRateLinear

Parameters:

dblTime - The Time Snapshot

Returns:

The Liquidity Market Impact Function

epochLiquidityFunction

public ParticipationRateLinear epochLiquidityFunction()

Description copied from interface: BackgroundParticipationRateLinear

Compute the Epoch Liquidity Market Impact Function

Specified by:

epochLiquidityFunction in interface BackgroundParticipationRateLinear

Returns:

The Epoch Liquidity Market Impact Function