activity
20112020
most citedSensitivity analysis of the utility maximization problem with respect to model perturbations

8 citations · 8 across the 2 of their papers we have counts for

collaborators

8 papers

math.PR2020

Stability of the indirect utility process

Oleksii Mostovyi

We investigate the dynamic stability of the indirect utility process associated with a (possibly suboptimal) trading strategy under perturbations of the market. Establishing the re…

q-fin.MF2020

Stability and asymptotic analysis of the Föllmer-Schweizer decomposition on a finite probability space

Sarah Boese, Tracy Cui, Samuel Johnston +2

First, we consider the problem of hedging in complete binomial models. Using the discrete-time Föllmer-Schweizer decomposition, we demonstrate the equivalence of the backward induc…

math.CA2019

Differentiation of measures on a non-separable space, and the Radon-Nikodym theorem

Oleksii Mostovyi, Pietro Siorpaes

Given positive measures on an arbitrary measurable space , we construct a sequence of finite partitions of s.t. $$ \sum_{A\in π_n…

math.PR2018

Optimal investment and consumption with labor income in incomplete markets

Oleksii Mostovyi, Mihai Sîrbu

We consider the problem of optimal consumption from labor income and investment in a general incomplete semimartingale market. The economic agent cannot borrow against future incom…

math.PR2018

Asymptotic analysis of the expected utility maximization problem with respect to perturbations of the numéraire

Oleksii Mostovyi

In an incomplete model, where under an appropriate numéraire, the stock price process is driven by a sigma-bounded semimartingale, we investigate the behavior of the expected utili…

q-fin.PM20178 cited

Sensitivity analysis of the utility maximization problem with respect to model perturbations

Oleksii Mostovyi, Mihai Sîrbu

We study the sensitivity of the expected utility maximization problem in a continuous semi-martingale market with respect to small changes in the market price of risk. Assuming tha…