A unified formula of the optimal portfolio for piecewise hyperbolic absolute risk aversion utilities

Z Liang, Y Liu, M Ma, RP Vinoth - Quantitative Finance, 2024 - Taylor & Francis
We propose a general family of piecewise hyperbolic absolute risk aversion (PHARA)
utilities, including many classic and non-standard utilities as examples. A typical application …

Equilibrium in Style: A Modeling Framework on the Cash Flow and the Life Cycle of a Consumer Store

S Han, J Lei, Y Liu - arXiv preprint arXiv:2404.02426, 2024 - arxiv.org
The consumer store is ubiquitous and plays an important role in our everyday lives. It is an
open question why stores usually have such short life cycles (typically around 3 years in …

Modelling Non-monotone Risk Aversion and Convex Compensation in Incomplete Markets

Y Liu, Z Shen - arXiv preprint arXiv:2406.00435, 2024 - arxiv.org
In hedge funds, convex compensation schemes are popular to stimulate a high-profit
performance for portfolio managers. In economics, non-monotone risk aversion is proposed …

Pareto-Optimal Investments and Contracting for Non-linear Payoffs

A Chen, P Hieber, T Nguyen - Available at SSRN 4677071, 2023 - papers.ssrn.com
This paper explores financial and insurance contracts with non-linear payoffs by combining
optimal contract design and dynamic portfolio planning. It avoids upfront parameter fixation …

A framework of multivariate utility optimization with general benchmarks

Z Liang, Y Liu, L Zhang - arXiv preprint arXiv:2101.06675, 2021 - arxiv.org
Benchmarks in the utility function have various interpretations, including performance
guarantees and risk constraints in fund contracts and reference levels in cumulative …

[PDF][PDF] A Unified Formula of the Optimal Portfolio for Piecewise HARA Utilities

Z Liang, Y Liu, M Ma - arXiv preprint arXiv:2107.06460, 2021 - researchgate.net
We propose a general family of piecewise hyperbolic absolute risk aversion (PHARA) utility,
including many non-standard utilities as examples. A typical application is the composition …