English

Merton problem with one additional indivisible asset

Portfolio Management 2015-12-15 v1 Optimization and Control

Abstract

In this paper we consider a modification of the classical Merton portfolio optimization problem. Namely, an investor can trade in financial asset and consume his capital. He is additionally endowed with a one unit of an indivisible asset which he can sell at any time. We give a numerical example of calculating the optimal time to sale the indivisible asset, the optimal consumption rate and the value function.

Keywords

Cite

@article{arxiv.1403.3223,
  title  = {Merton problem with one additional indivisible asset},
  author = {Jakub Trybuła},
  journal= {arXiv preprint arXiv:1403.3223},
  year   = {2015}
}
R2 v1 2026-06-22T03:25:53.972Z