The paper investigates a problem of bounded risk portfolio selection for a multi-period market in the case when only historical prices are available, and all market parameters are not observable. We present a strategy which bounds risk closely to a risk-free investment and guarantees at the same...

It is clear that people do not always behave in a rational manner. Sometimes they are presented with too much information or they may want to make a quick decision. This may cause them to rely on cognitive shortcuts known as heuristics (rules of thumb). These cognitive shortcuts often result in...

We compare the equal-weight naive 1/N portfolio with mean-variance strategies from the perspective of mispricing (alpha) and provide three new findings. First, we analytically show that the 1/N rule approaches the ex ante mean-variance efficient portfolio in the absence of mispricing. With...

For a market with m assets and T discrete trading sessions, Cover and Ordentlich (1998) found that the “Cost of Achieving the Best Rebalancing Rule in Hindsight” is p(T, m) = _{n₁ ···^Σ n_m=T} (n₁,^T...,n_m)(n₁/T)(n₁ · · · (n_m/T)^n_m. Their super-replicating strategy is impossible to compute...

We study T. Cover's rebalancing option (Ordentlich and Cover 1998) under discrete hindsight optimization in continuous time. The payoff in question is equal to the final wealth that would have accrued to a $1 deposit into the best of some finite set of (perhaps levered) rebalancing rules...

This paper prices the financial derivative whose payoff is the wealth that would have accrued to a $1 deposit into the best continuously-rebalanced portfolio in hindsight. For the market with a risk-free bond and a single stock in geometric Brownian motion, Cover and Ordentlich (1998) priced...

We derive sufficient conditions for non-emptyness of the efficient set for Stochastic Dominance Relations, commonly applied in Economics and Finance, over sets of distributions on the real line. We do so via the use of the concept of stochastic spanning and its characterization via a saddle type...

Standard mean-variance analysis is based on the assumption of normal return distributions. However, a growing body of literature suggests that the market oscillates between two different regimes – one with low volatility and the other with high volatility. In such a case, even if the return...

This paper is about the issue of input parameter uncertainty in portfolio optimization in a discrete setting with finite states (such as the case in a world with different macroeconomic regimes). In such a setting, being unable to assign reliable point estimates to the probabilities (or...