In this paper, the approach of BSDE will be employed to study the irreversible investment problem under k-ignorance when the DM is risk- and uncertainty-averse. For the case of logarithmic utility, we work out the explicit solutions of the value of the utilized patent, the value of the...

Downside and deviation risk measures are becoming more and more important in many disciplines with clear interfaces with Applied Mathematics and Operations Research. Their dual representations have played critical roles in most of their applications (risk management, portfolio selection, pricing...

The topics of Economic Capital modelling, reverse stress testing and credit limits are inextricably intertwined as they all focus on exceptional loss events. In this paper, we use the KVA framework in to frame these three topics within a single unified approach. We propose setting credit limits...

I investigate a dynamic life-cycle strategic asset allocation and consumption problem under model uncertainty, where both inflation rate and income growth rate are assumed to be estimated with errors. I present a feasible boundary for the uncertainty aversion parameter, which measures the...

This paper deals with risk measurement and portfolio optimization under risk constraints. Firstly we give an overview of risk assessment from the viewpoint of risk theory, focusing on moment-based, distortion and spectral risk measures. We subsequently apply these ideas to an asset management...

This paper solves the dynamic investment problem of a risk averse agent compensated with a performance related bonus plus a salary guaranteed up to a certain level of underperformance. The main contribution is to explicitly take into account the financial fragility of the principal [employer],...

I study a continuous-time principal-agent model in which a multitasking agent engages in unobserved risk-taking. Risk-taking creates short-term profits but also increases the chance of large losses. The optimal contract incentivizes excessive risk-taking when the agent has insufficient skin in...

In this paper, we propose a method for hedge fund replication using a factor-based model supplemented with a series of risk and return constraints that implicitly target all the moments of the hedge fund return distribution. We use the approach to replicate the monthly returns of ten broad hedge...

Using sectorial indices of the Brazilian market, we compare the portfolio optimization approach known as risk parity with minimum variance and equally weighted approaches. We apply various estimators for the covariance matrix to each portfolio strategy, since portfolio variance is considered as...

Trading with futures is complex and abounds with risks, to mitigate which a multi-pronged approach such as diversification in different asset classes across dissimilar markets or imposing risk budgets on individual assets and/or asset classes or enforcing capital budgets and other investor...