The significant excess of the price of risk, research question in the version paper, [S. Chule, in Applied Mathematical Finance, submitted June 2016], is space-domain form re-evaluated into the stochastic problem objective of the premium risk. The adapts of the conventional generic replication...

We study a continuous-time model of consumption and portfolio selection with limited commitment in a stochastic environment. The credit constraints of a household are determined endogenously in the credit market where creditors know that the household is not committed to payment of debt. By...

This paper treats the risk-averse optimal portfolio problem with consumption in continuous time for a stochastic-jump-volatility, jump-diffusion (SJVJD) model of the underlying risky asset and the volatility. The new developments are the use of the SJVJD model with...

The Kelly criterion is a money management principle that beats any other approach in many respects. In particular, it maximizes the expected growth rate and the median of the terminal wealth. However, until recently application of the Kelly criterion to multivariate portfolios has seen little...

This paper provides a detailed framework for modeling portfolios, achieving the highest growth rate under subjective risk constraints such as Value at Risk (VaR) in the presence of stable laws. Although the maximization of the expected logarithm of wealth induces outperforming any other...

In dynamic portfolio choice problems, stochastic state variables such as stochastic volatility lead to adjustments of the optimal stock demand referred to as hedge terms or Merton-Breeden terms. By deriving an explicit solution in a multi-agent framework with a stochastic opportunity set, we...

Algorithmic traders acknowledge that their models are incorrectly specified, thus we allow for ambiguity in their choices to make their models robust to misspecification in: (i) the arrival rate of market orders (MOs), (ii) the fill probability of limit orders, and (iii) the dynamics of the...

This paper develops a tractable dynamic model of competition between two risk-averse portfolio managers who attempt to outperform each other by trading in different stocks, reflecting asset specialization. We characterize explicitly the unique Nash equilibrium portfolio policies, and show that a...

We consider an optimal execution problem where an agent holds a position in an asset which must be liquidated (using limit orders) before a terminal horizon. Beginning with a standard model for the trading dynamics, we analyse how the acknowledgement of model misspecification affects the agent's...

This paper explores the optimisation of asset allocation within “alternative” investments, i.e. between private equity and hedge funds, as well as between private equity and public equities. It uses our proprietary Portfolio Blender tool. As a preliminary step before the optimisation, we...