Many industries use dynamic pricing on an operational level to maximize revenue from selling a fixed capacity over a finite horizon. Classical risk-neutral approaches do not accommodate the risk aversion often encountered in practice. We add to the scarce literature on risk aversion by...

In this paper, I propose a dynamic programming approach with value function iteration to solve Bellman equations in discrete time using spatially adaptive sparse grids. In doing so, I focus on Bellman equations used in finance, specifically to model dynamic portfolio choice over the life cycle....

If a given risky prospect is compared with multiple choice alternatives, then a joint test for optimality is more appropriate than a series of pairwise Stochastic Dominance tests. We develop and implement a bootstrap empirical likelihood ratio test for this hypothesis. The test statistic and...

This paper develops an approximate closed-form optimal portfolio allocation formula for a spot asset whose variance follows a GARCH(1,1) process. We consider an investor with constant relative risk aversion (CRRA) utility who wants to maximize the expected utility from terminal wealth under a...

In this contribution we propose a dynamic tracking error problem and we consider the problem of monitoring at discrete point the shortfall of the portfolio below a set of given reference levels of wealth. We formulate and solve the resulting dynamic optimization problem using stochastic...

Dynamic programming is the essential tool in dynamic economic analysis. Problems such as portfolio allocation for individuals and optimal economic growth are typical examples. Numerical methods typically approximate the value function. Recent work has focused on making numerical methods more...

The existing literature deals with the optimal investment strategy of defined benefit (DB) or defined contribution (DC) pension plans. This paper's objective is to compare the optimal policies of different types of pension plans. This is done by first defining an original framework, which is...

In this primer, we review the classical methods for assessing the performance of a financial portfolio. The analysis relies on benchmarking the return on the portfolio with that of a peer group. We define and discuss the pros and cons of four performance metrics that are theoretically consistent...

In standard financial model which is proposed by Markuitz, the basis of financial activity is on logical act of investors. With establishment of a branch named behavioral finance which is based on the works of Kahneman and Tuerski, the role of psychology of investors and the results of...

I study the history and performance of commercial real estate (CRE) in the pension fund portfolio, showing how many plan sponsors fundamentally changed their approach to CRE investment once underfunding gaps began to emerge in the early and middle 2000s. Several new empirical facts are...