Oleksii Mostovyi
Associate Professor
Welcome to my homepage. I am an Associate Professor in the Department of Mathematics at the University of Connecticut. My research interests include probability, stochastic processes, mathematical finance, and related areas.
Contact Information:
University of Connecticut
Department of Mathematics
U1009
341 Mansfield Road
Storrs, CT 06269-1009
Phone: 1(860)486-6322 (office)
Fax: 1(860)486-4238
E-mail: oleksii.mostovyi@uconn.edu
Preprints
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Duality for Optimal Stopping in Continuous Time
with X. Ma, preprint (2026), 20 pages.
[pdf]
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The Value of Partial Jump Information
with P. Ernst, preprint (2026), 22 pages.
[pdf]
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An Approach to the Greeks for Indifference Pricing
preprint (2025), 51 pages.
[pdf]
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The Indifference Value of the Weak Information
with F. Baudoin, preprint (2025), 27 pages.
[pdf]
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On Perturbations of Preferences and Indifference Price Invariance
with A. Teplyaev, preprint (2024), 38 pages.
[pdf]
Published/accepted papers
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Pricing of Contingent Claims in Large Markets
with P. Siorpaes, Finance and Stochastics (2025), Vol. 29(1), pp. 177-217.
[published version]
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Representation of Indifference Prices on a Finite Probability Space
with J. Freitas and J. Huang, Involve (2025), Vol. 18(3), pp. 495-516.
[published version]
This paper is part of an REU project conducted under my supervision.
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Quadratic Expansions in Optimal Investment with Respect to Perturbations of the Semimartingale Model
with M. Sîrbu, Finance and Stochastics (2024), Vol. 28(2), pp. 553-613.
[published version]
-
Stability of the Epstein-Zin Problem
with M. Monoyios, Mathematical Finance (2024), Vol. 34(4), pp. 1263-1290.
[arXiv]
[published version]
-
On the Analyticity of the Value Function in Optimal Investment and Stochastically Dominant Markets
with M. Sîrbu and T. Zariphopoulou, Pure and Applied Functional Analysis: Special Issue "Control, Systems Theory and Related Topics Dedicated to the memory of Professor Wendell H. Fleming" (2024), Vol. 9(3), pp. 825-862.
[arXiv]
[published version]
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The Information Premium on a Finite Probability Space
with J. Koerner and J.S. Lee, Missouri Journal of Mathematical Sciences (2024), Vol. 36(1), pp. 68-88.
[published version]
This paper is part of an REU project conducted under my supervision.
-
Differentiation of Measures on an Arbitrary Measurable Space
with P. Siorpaes, Journal of Mathematical Analysis and Applications (2023), published online, 25 pages.
[preprint]
[earlier version]
-
Fair Pricing and Hedging Under Small Perturbations of the Numéraire on a Finite Probability Space
with W. Busching, D. Hintz, and A. Pozdnyakov, Involve (2022), Vol. 15(4), pp. 649-668.
[published version]
[arXiv]
This paper is part of an REU project conducted under my supervision.
-
Asymptotic Analysis of the Expected Utility Maximization when Wealth Can Become Negative
Thesis of my Ph.D. student O. Pavlenko (2022).
[pdf]
-
Stability of the Indirect Utility Process
SIAM Journal on Financial Mathematics (2021), Vol. 12(2), pp. 641-671.
[published version]
[arXiv]
-
Optimal Investment and Consumption with Labor Income in Incomplete Markets
with M. Sîrbu, Annals of Applied Probability (2020), Vol. 30(2), pp. 747-787.
[published version]
[arXiv]
-
Asymptotic Analysis of the Expected Utility Maximization Problem with Respect to Perturbations of the Numéraire
Stochastic Processes and their Applications (2020), Vol. 130(7), pp. 4444-4469.
[published version]
[arXiv]
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Stability and Asymptotic Analysis of the Föllmer-Schweizer Decomposition on a Finite Probability Space
with S. Boese, T. Cui, S. Johnston, and G. Molino, Involve (2020), Vol. 13(4), pp. 607-623.
[published version]
[arXiv]
This paper is part of an REU project conducted under my supervision.
-
Sensitivity Analysis of the Utility Maximization Problem with Respect to Model Perturbations
with M. Sîrbu, Finance and Stochastics (2019), Vol. 23(3), pp. 595-640.
[published version]
[arXiv]
-
Utility Maximization in a Large Market
Mathematical Finance (2018), Vol. 28(1), pp. 106-118.
[published version]
[arXiv]
-
An Expansion in the Model Space in the Context of Utility Maximization
with K. Larsen and G. Žitković, Finance and Stochastics (2018), Vol. 22(2), pp. 297-326.
[published version]
[arXiv]
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Optimal Consumption of Multiple Goods in Incomplete Markets
Journal of Applied Probability (2018), Vol. 55(3), pp. 810-822.
[published version]
[arXiv]
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Optimal Investment with Intermediate Consumption under No Unbounded Profit with Bounded Risk
with H. Chau, A. Cosso, and C. Fontana, Journal of Applied Probability (2017), Vol. 54(3), pp. 710-719.
[published version]
[arXiv]
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Optimal Investment with Intermediate Consumption and Random Endowment
Mathematical Finance (2017), Vol. 27(1), pp. 96-114.
[published version]
[arXiv]
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Necessary and Sufficient Conditions in the Problem of Optimal Investment with Intermediate Consumption
Finance and Stochastics (2015), Vol. 19(1), pp. 135-159.
[published version]
[arXiv]
-
On the Stability of the Least Squares Monte Carlo
Optimization Letters (2013), Vol. 7(2), pp. 259-265.
[published version]
[arXiv]
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On Maximum Speedup Ratio of Restart Algorithms Portfolios
with O. Prokopyev and O. Shylo, INFORMS Journal on Computing (2013), Vol. 25(2), pp. 222-229.
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Signal Processing under Active Monitoring
Information Theories and Applications (2005), Vol. 12, pp. 49-56.