We introduce and solve an optimal asset allocation problem under a weighted expected shortfall (WES) constraint, which contains the risk management problem under an expected shortfall constraint of Basak and Shapiro (2001) as a special case. Furthermore, we link our risk management problem under...

Since borrowers want minimal pressure to repay early while depositors want minimal constraints on withdrawals, banks typically borrow short to lend long. This is known as duration mismatch. To mitigate the risks, banks are required to hold capital buffers, which are intended to cover all losses...

This paper studies a non-concave optimization problem under a Value-at-Risk (VaR) or an Expected Shortfall (ES) constraint. The non-concavity of the problem stems from the non-linear payoff structure of the optimizing investor. We obtain the closed-form optimal wealth with an ES constraint as...

Many investors assign part of their funds to asset managers of mutual funds who are given the task of beating a benchmark. Asset managers usually face a constraint on maximum Tracking Error Volatility (TEV), imposed by the risk management office to keep the risk of the portfolio close to that of...

We study a concept of dynamic leverage which is a risk measure generalizing traditional value at risk type measures. This measure is suited for hedge funds and can be applied to quantify risk in a fund of hedge funds. Dynamic leverage depends on the level of fund volatility, time horizon and...

The present paper looks into the question of whether it provides the investor diversification benefits to include sukuk (Islamic bonds) in their portfolio of bonds, and what these might be quantitatively. Analysed are sovereign bonds of Bahrain, Pakistan, Qatar, Malaysia, and the UAE. The...

This article studies the optimal portfolio selection of expected utility maximizing investors who must also manage their market-risk exposures. The risk is measured by a so-called weighted Value-at-Risk (WVaR) risk measure, which is a generalization of both Value-at-Risk (VaR) and Expected...

Analytical portfolio risk calculations can be derived and computed in matrix form. Since the inputs are linear asset returns, the calculation outputs as percentages, eg, Portfolio Analytical VaR would be a percentage itself and not a dollar number. Marginal Contributions and Expected Shortfall...

The subprime crisis was quite damaging for hedge funds. Using the local projection method (Jordà 2004, 2005, 2009), we forecast the dynamic responses of the betas of hedge fund strategies to macroeconomic and financial shocks-especially volatility and illiquidity shocks-over the subprime crisis...

Optimization of international securitized real estate portfolios has been a key topic for several decades. However, most previous analysis has focused on regional diversification by applying the traditional mean-variance (MV) framework suggested by Markowitz (1952) even if the limitations of...