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Risk parity has been considered a heuristic asset allocation method. In this paper, we show that, to the contrary, risk parity is a special case of a mean-risk type of a portfolio optimization problem with log-regularization to constrain weights. We show that log-regularization leads to a fund...
Persistent link: https://www.econbiz.de/10013103702
The importance of portfolio optimization in finance field has been increasing significantly. Although, portfolio optimization problems over a single period or multiple periods are studied extensively, the problem with an option to rebalance over multiple periods is not considered significantly....
Persistent link: https://www.econbiz.de/10013091376
We revisit Machina's local utility as a tool to analyze attitudes to multivariate risks. Using martingale embedding techniques, we show that for non-expected utility maximizers choosing between multivariate prospects, aversion to multivariate mean preserving increases in risk is equivalent to...
Persistent link: https://www.econbiz.de/10013065811
Many economic variables of interest exhibit a tendency to revert to predictable long-run levels. However, mean reverting processes are rarely used in investment models in the literature. In most models, geometric Brownian motion processes are used for tractability. In this paper, a firm's entry...
Persistent link: https://www.econbiz.de/10013150516
Using equations that arise in quantum mechanics, this paper describes a way to more accurately and efficiently represent non-Gaussian return distributions than the standard method of invoking skewness and kurtosis. Then, it provides a new single intuitive number, defined here as the “crash...
Persistent link: https://www.econbiz.de/10012844430
policy on output, as well as uncertainty in the model parameters and system dynamics. Uncertainty is specified in general …
Persistent link: https://www.econbiz.de/10012956494
To analyze the economic significance of pricing errors of stock index options, a system of linear inequalities is developed which completely characterizes all risk arbitrage opportunities which arise if a well-behaved pricing kernel does not exist. The Stochastic Arbitrage system can account for...
Persistent link: https://www.econbiz.de/10012899380
We revisit mean-risk portfolio selection in a one-period financial market where risk is quantified by a positively homogeneous risk measure ρ on L1. We first show that under mild assumptions, the set of optimal portfolios for a fixed return is nonempty and compact. However, unlike in classical...
Persistent link: https://www.econbiz.de/10012823360
The optimal growth of a wealth process toward a goal is studied under ambiguous markets with first- and second-order moment uncertainties relating to stock returns. Optimal strategies and value functions are solved explicitly. A verification theorem is proved to show that the results solve the...
Persistent link: https://www.econbiz.de/10012825179
We can overcome uncertainty with uncertainty. Using randomness in our choices and in what we control, and hence in the … decision making process, could potentially offset the uncertainty inherent in the environment and yield better outcomes. The … example we develop in greater detail is the news-vendor inventory management problem with demand uncertainty. We briefly …
Persistent link: https://www.econbiz.de/10012970297