In this paper we develop a retirement model under the expected utility stochastic control framework to find optimal decisions with respect to the consumption, risky asset allocation, access to annuities, reverse mortgage and the option to scale housing. The model is solved numerically using...

The Least-Squares Monte Carlo (LSMC) method has gained popularity in recent years due to its ability to handle multi-dimensional stochastic control problems, including problems with state variables affected by control. However, when applied to the stochastic control problems in the multi-period...

This is a preprint of the chapter "Supercomputers" in the forthcoming book "High-Performance Computing in Finance: Problems, Methods, and Solutions", M.A.H. Dempster, J. Kanniainen, J. Keane, and E. Vynckier (Eds), Chapman and Hall/CRC, London, 2017. The chapter discusses the use of...

In this paper we employ a lifecycle model that uses utility of consumption and bequest to determine an optimal Deferred Income Annuity (DIA) purchase policy. We lay out a mathematical framework to formalize the optimization process. The method and implementation of the optimization is explained,...

In this paper, we develop an expected utility model for the retirement behavior in the decumulation phase of Australian retirees with sequential family status subject to consumption, housing, investment, bequest and government provided means-tested Age Pension. We account for mortality risk and...

In this paper, we investigate the parallelization efficiency of the discrete time dynamic programming approach to solve dynamic portfolio choice models over the life cycle. This approach suffers from the so-called curse of dimensionality. That is, the time-to-result grows exponentially in the...

Retirement flexibility and inability to borrow against future labor income can significantly affect optimal consumption and investment. With voluntary retirement, there exists an optimal wealth-towage ratio threshold for retirement and human capital correlates negatively with the stock market...

We consider optimal consumption and portfolio investment problems of an investor who is interested in maximizing his utilities from consumption and terminal wealth subject to a random inflation in the consumption basket price over time. We consider two cases: (i) when the investor observes the...

Costly information acquisition makes it rational for investors to obtain important economic news only with limited frequency or limited accuracy. We show that this rational inattention to important news may make investors overinvest or underinvest. In addition, the optimal trading strategy is...

The problems of non-concave utility maximization appear in many areas of finance and economics, such as in behavior economics, incentive schemes, aspiration utility, and goal-reaching problems. Existing literature solves these problems using the concavification principle. We provide a framework...