kellyPoisson | R Documentation |
Computes the optimal allocation for a risky stock driven by a compensated Poisson process in terms of its log dynamics.
kellyPoisson(a, b, lambda, rate = 0)
a |
jump size |
b |
compensator size |
lambda |
mean-rate of jumps |
rate |
risk-free rate of return |
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.
numeric real number
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