kellyPoisson: Kelly-fraction under geometric compensated Poisson dynamics

View source: R/gcpois.R

kellyPoissonR Documentation

Kelly-fraction under geometric compensated Poisson dynamics

Description

Computes the optimal allocation for a risky stock driven by a compensated Poisson process in terms of its log dynamics.

Usage

kellyPoisson(a, b, lambda, rate = 0)

Arguments

a

jump size

b

compensator size

lambda

mean-rate of jumps

rate

risk-free rate of return

Details

The optimal fraction is analytically known through the equation \lambda/(r+b)-1/(e^a-1) where the log dynamics follow X_t=aN_t-bt, a scaled and compensated Poisson process.

Value

numeric real number


shill1729/kellyfractions documentation built on July 16, 2025, 6:21 p.m.