Quadratic Hedging for Sequential Claims with Random Weights in Discrete Time
Mathematical Finance
2020-12-07 v2 Portfolio Management
Pricing of Securities
Risk Management
Abstract
We study a quadratic hedging problem for a sequence of contingent claims with random weights in discrete time. We obtain the optimal hedging strategy explicitly in a recursive representation, without imposing the non-degeneracy (ND) condition on the model and square integrability on hedging strategies. We relate the general results to hedging under random horizon and fair pricing in the quadratic sense. We illustrate the significance of our results in an example in which the ND condition fails.
Keywords
Cite
@article{arxiv.2005.06015,
title = {Quadratic Hedging for Sequential Claims with Random Weights in Discrete Time},
author = {Jun Deng and Bin Zou},
journal= {arXiv preprint arXiv:2005.06015},
year = {2020}
}
Comments
20 pages