Consider an agent who holds a stock, but is allowed to buy and hold some quantity of at-the-money put options on the stock. Such an agent must decide the optimal use of financial derivatives under trade restrictions. This paper uses simulation to compare the optimal quantity when the agent...

This article simulates the savings rates required to meet retirement income goals in the worst-case scenario from overlapping historical periods for savers in 19 developed market countries. In the baseline, workers save for 30 years to replace 50 percent of their pre-retirement net income with...

An important and frequently studied question for retirees is: what is the optimal asset allocation during retirement? This article provides a brief but simple message that conservative asset allocations in retirement are quite acceptable after all. A wide range of asset allocations tend to...

Shortfall risk retirement income analyses offer little insight into how much risk is optimal, and how risk tolerance affects retirement income decisions. This study models retirement income risk in a manner consistent with risk tolerance in portfolio selection in order to estimate optimal asset...

Most retirement withdrawal rate studies are either based on historical data or use a particular assumption about portfolio returns unique to the study in question. But planners may have their own capital market expectations for future returns from stocks, bonds, and other assets they deem...

Conditional Value-at-Risk (CVaR) measures the expected loss amount beyond VaR. It has vast advantage over VaR because of its property of coherence. This paper gives an analytical solution in a complete market setting to the risk reward problem faced by a portfolio manager whose portfolio needs...

Empirical evidence suggests that asset returns correlate more strongly in bear markets than conventional correlation estimates imply. We propose a method for determining complete tail-correlation matrices based on Value-at-Risk (VaR) estimates. We demonstrate how to obtain more efficient...

A model of bank’s dynamic asset management problem in case of partially observed future economic conditions and requirements concerning level of risk taken has been built. It requires solving the resulting optimal control with random terminal condition resulting from partial observation of...

Since the enactment of Pension Protection Act of 2006, lifecycle funds that reduce exposure to stocks with age have rapidly replaced money market funds as the most commonly nominated default investment options for participant-directed retirement plans. We examine their appropriateness in meeting...

Most socially responsible investment funds combine a sustainability objective with a tracking error constraint. We characterize the impact of a sustainability constraint on the mean-tracking error efficient frontier and illustrate this on a universe of US stocks for the period 2003–2010.