2007/03/16 by Hujo, Mika
#41A25 #60H05 #FOS: Mathematics #Probability (math.PR)
paper · doi:10.48550/arxiv.math/0703481
We study the approximation of certain stochastic integrals with respect to a d-dimensional diffusion by corresponding stochastic integrals with piece-wise constant integrands. In finance this corresponds to replacing a continuously adjusted portfolio by discretely adjusted one. The approximation error is measured with respect to L2 and it is shown that under certain assumptions the approximation rate is n-1/2 when one optimizes over deterministic but not necessarily equidistant time-nets.