# Victoria Steblovskaya

Professor, Mathematical SciencesPh.D., Kiev State University, 1991

Office: Morison Hall 341 | 781.891. 3455 | vsteblovskay@bentley.edu

### Bio

Teaches basic required Math courses as well as a wide variety of Math electives such as Continuous Probability for Risk Management, Financial Calculus and Derivative Pricing, Mathematics of Investment and Financial Markets. Interests include discrete and continuous financial market modeling, infinite dimensional analysis, stochastic analysis. Has presented numerous conference papers. Spent 1996 to 1998 as the Alexander von Humboldt Fellow at Universitat Bonn and Ruhr-Universitat Bochum, both in Germany. Before that, spent six years as an associate professor and four years as an assistant professor at the Kiev Polytechnic Institute in Ukraine.

### Teaching Interests

Financial Calculus and Derivative Pricing; Continuous Probability for Risk Management; Actuarial Topics in Probability and Risk Management; Mathematics of Investment and Financial Markets

### Research Interests

Mathematics of Finance: continuous and discrete models of financial markets, insurance applications; Infinite dimensional analysis, stochastic analysis; Calculus of variations in infinite dimensions; Laplace's method and the method of stationary phase in infinite dimensions

### Awards and Honors

2020, Summer Research Grant, Bentley University

2019, Bentley Research Council (BRC) Grant, Bentley University

2019, Hausdorff Institute of Mathematics short term research grant, Hausdorff Institute of Mathematics, Bonn, Germany

2019, Summer Research Grant, Bentley University

2018, Alexander von Humboldt Fellowship Resumption, Alexander von Humboldt Foundation

2018, Deans' Fund Grant for International Travel, Bentley University

2018, Summer Research Grant, Bentley University

2017, Dean's Fund Grant for International Travel, Bentley University

2017, Hausdorff Institute of Mathematics short term research grant, Hausdorff Institute of Mathematics, Bonn, Germany

2016, Dean's Fund Grant for International Travel, Bentley University

2016, Hausdorff Institute of Mathematics short term research grant, Hausdorff Institute of Mathematics, Bonn, Germany

2016, Summer Reseach Grant, Bentley University

2015, Dean's Fund Grant for International Travel, Bentley University

2015, Hausdorff Institute of Mathematics short term research grant, Hausdorff Institute of Mathematics, Bonn, Germany

2015, Summer Reseach Grant, Bentley University

2015, Centre Interfacultaire Bernoulli (CIB) short term researh grant, Centre Interfacultaire Bernoulli (CIB) - EPFL, Lausanne, Switzerland

2014, Dean's Fund Grant for International Travel, Bentley

2014, Alexander von Humboldt Fellowship Resumption, Alexander von Humboldt Foundation

2014, Bentley University Summer Research Grant, Bentley

2013, Hausdorff Institute of Mathematics short term research grant, Hausdorff Institute of Mathematics

2013, Bentley University Summer Research Grant, Bentley University

2012, Dean's Fund Grant for International Travel , Bentley University

2012, Hausdorff Institute of Mathematics short term research grant, Hausdorff Institute of Mathematics, Bonn, Germany

2012, Bentley University Summer Research Grant, Bentley University

2011, Alexander von Humboldt Fellowship resumption, Alexander von Humboldt Foundation, Germany

2010, Deansâ€™ Fund for International Travel Grant , Bentley University

2010, Hausdorff Institute of Mathematics short term research grant, Hausdorff Institute of Mathematics, Bonn, Germany

2010, Summer Research Grant, Bentley University

2009, Outstanding Scholarly Contribution Award , Bentley University

1996, Alexander von Humboldt Fellowship, Alexander von Humboldt Foundation

### Publications

**Journal Article(s)**

Steblovskaya, V. R., Albeverio, S. Asymptotics of Gaussian Integrals in Infinite Dimensions. *Infinite Dimensional Analysis, Quantum Probability and Related Topics**, Vol. 22* ( No. 1 (2019) 1950004 ), 28 pages.

Steblovskaya, V. R., Albeverio, S., Wallbaum, K. The Volatility Target Effect in Investment-Linked Products with Embedded American-Type Derivatives. *Investment Management and Financial Innovations **, 16(3), 2019*, 18-28.

Biedova, O., Steblovskaya, V. R. (2020). Multiplier Optimization for Constant Proportion Portfolio Insurance (CPPI) Strategy. *International Journal of Theoretical and Applied Finance*.
Forthcoming

Steblovskaya, V. R., Biedova, O. (2020). Multiplier Optimization for Constant Proportion Portfolio Insurance (CPPI) Strategy. *The International Journal of Theoretical and Applied Finance**, 23* (2), 22.

Kimball, L., Josephy, N., Steblovskaya, V. (2017). On The Numerical Aspects Of Optimal Option Hedging With Transaction Costs. *International Journal of Theoretical and Applied Finance**, 20* (1), 1750002 (22 pages).
(link)

Albeverio, S., Steblovskaya, V. R., Wallbaum, K. (2017). The Volatility Target Effect in Structured Investment Products with Capital Protection. *Review of Derivatives Research*.

Steblovskaya, V. R., Josephy, N. H., Kimball, L. M. (2015). Optimal Hedging in an Extended Binomial Market under Transaction Costs. *Quantitative Finance**, 16* (5, May 2016), 763-776.

Josephy, N. H., Kimball, L. M., Steblovskaya, V. R. (2013). Alternative Hedging in a Discrete Time Incomplete Market. *Journal of Risk*.

Albeverio, S., Steblovskaya, V. R., Wallbaum, K. (2013). Investment Instruments with Volatility Target Mechanism . *Quantitative Finance**, 13* (10), 1519-1528.
(link)

Josephy, N. H., Kimball, L. M., Steblovskaya, V. R. (2011). Optimal Hedging and Pricing of Equity-Linked Life Insurance Products in a Discrete Time Incomplete Market. *Journal of Probability and Statistics**, 2011*, 23 pages.
(link)

Albeverio, S., Steblovskaya, V. R., Wallbaum, K. (2009). Valuation of Equity-Linked Life Insurance Contracts Using a Model with Interacting Assets. *Stochastic Analysis and Applications**, 27* (5), 1077-1095.

Josephy, N. H., Kimball, L. M., Steblovskaya, V. R. (2008). Optimal Hedging of Path Dependent Options in a Discrete Time Incomplete Market. *Communications on Stochastic Analysis**, 2* (3), 385-404.

Josephy, N. H., Kimball, L. M., Steblovskaya, V. R. (2008). A Time-Series Approach to Non-Self-Financing Hedging in a Discrete-Time Incomplete Market. *Journal of Applied Mathematics and Stochastic Analysis**, 2008*.
(link)

Josephy, N. H., Kimball, L. M., Steblovskaya, V. R., Nagaev, A., Pasniewski, M. (2007). An algorithmic approach to non-self-financinghedging in a discrete-time incomplete market. *Discrete Mathematics and Applications**, 17* (2), 189-207.

Albeverio, S., Schmitz, M., Steblovskaya, V. R., Wallbaum, K. (2006). Poisson Processes in a Model with Interacting Assets. *Stochastic Analysis and Applications**, 24* (1), 241-261.

Nagaev, A., Steblovskaya, V. R. (2006). On a two dimensional binary model of a financial market and its extension. *Discrete Mathematics and Applications**, 18* (2), 3-28.

Albeverio, S., Popovici, A., Steblovskaya, V. R. (2006). Numerical analysis of the extended Black-Scholes model. *The International Journal of Theoretical and Applied Finance**, 9* (1), 69-89.

Steblovskaya, V. R. (2004). Finite dimensional images of smooth measures. *Methods of Functional Analysis and Topology**, 10* (3), 64-76.

Albeverio, S., Steblovskaya, V. R. (2002). Financial market with interacting assets, pricing barrier options. *Proceedings of the Steklov Institute of Mathematics**, 237*, 164-175.

Albeverio, S., Steblovskaya, V. R. (2002). A model of financial market with several interacting assets. Complete market case. *Finance and Stochastics**, 6*, 383-396.

Albeverio, S., Roeckle, H., Steblovskaya, V. R. (2000). Asymptotic expansions for Ornstein-Uhlenbeck semigroups over Banach space perturbed by a potential. *Stochastics and Stochastics Reports**, 69*, 195-238.

Nualart, D., Steblovskaya, V. R. (1999). Asymptotics of oscillatory integrals with quadratic phase function on Wiener space. *Stochastics and Stochastics Reports**, 66*, 293-309.

Albeverio, S., Steblovskaya, V. R. (1999). Asymptotics of infinite dimensional integrals with respect to smooth measures I. *Infinite Dimensional Analysis, Quantum Probability and Related Topics**, 4* (2), 529-556.

Daletskii, Y., Steblovskaya, V. R. (1998). On transformations of smooth measure related to parabolic and hyperbolic differential equations in infinite dimensions. *Stochastic Analysis and Applications**, 16* (5), 989-1007.

Daletskii, Y., Steblovskaya, V. R. (1996). On infinite-dimensional variational problems. *Stochastic Analysis and Applications**, 14* (1), 47-71.

Daletskii, Y., Steblovskaya, V. R. (1996). On absolutely continuous and invariant evolution of smooth measure in Hilbert space. *Comptes Rendus de l'Academie des Sciences**, 323* (1), 823-827.

DaletskiI, Y., Steblovskaya, V. R. (1995). Some problems of calculus of variations in infinite dimensions. *Operator theory: Advances and Applications**, 78*, 77-88.

Steblovskaya, V. R. (1989). Smoothness of finite dimensional images of measure. *Ukrainian Mathematical Journal**, 41* (2), 261-265.**Book Chapters**

Daletskii, Y, Steblovskaya, V. R. (2000). Measures with smooth finite-dimensional projections.
In Koroliuk, V.S, Portenko, N.I, Syta, H (Eds.), (pp. 132-146). Ukraine: . Institute of Mathematics, Nat. Acad. Sci

Dalecky, Y, Steblovskaya, V. R. (1992). Smooth measure.
(pp. 283-308). Holland: . Kluwer Acad. Publ

### Conference Presentations

Bai,
Z., Steblovskaya,
V.
R., Wallbaum,
K. (2021).
"Prolonging Retirement Coverage With The Target Volatility Investment Strategy."
Presented at the
*The 6th Analytics Without Border Conference 2021*,
Virtual.

Steblovskaya,
V.
R., Kedra,
J. (2019).
"Optimal Hedging in the Multi-Asset Binomial Market."
Presented at the
Monash University Business School, Australia's
*The 5th Symposium on Quantitative Finance and Risk Analysis (QFRA 2019)*,
Kos, Greece.

Steblovskaya,
V.
R., Kedra,
J. (2019).
"Optimal Hedging in the Multi-Asset Binomial Market."
Presented at the
*The 9th General AMaMeF (Advanced Mathematical Methods in Finance) Conference*,
Paris, France.

Biedova,
O., Steblovskaya,
V.
R., Wallbaum,
K. (2018).
"Volatility Target Portfolio Insurance (VTPI): VolTarget Linked Investment Product with a Guarantee."
Presented at the
Bentley University's
*Annual Research Showcase Poster Session*,
Bentley University, Waltham, MA.

Biedova,
O., Steblovskaya,
V.
R., Wallbaum,
K. (2018).
"Comparison Study of Capital Protection Risk Management Strategies."
Presented at the
*4th Symposium on Quantitative Finance and Risk Analysis (QFRA 2018)*,
Mykonos, Greece.

Steblovskaya,
V.
R., Kimball,
L.
M., Josephy,
N.
H. (2018).
"Optimal Hedging in an Extended Binomial Market with Transaction Costs."
Presented at the
Monash University Business School, Australia's
*The 4th Symposium on Quantitative Finance and Risk Analysis (QFRA 2018)*,
Mykonos, Greece.

Steblovskaya,
V.
R., Kimball,
L.
M., Josephy,
N.
H. (2018).
"Optimal Hedging in an Extended Binomial Market with Transaction Costs."
Presented at the
Cardiff University 's
*Research seminar at the Mathematics Department of Cardiff University*,
Cardiff, Wales, UK.

Steblovskaya,
V.
R. (2018).
"Comparison Study of Capital Protection Risk Management Strategies: CPPI versus Volatility Target Based Investment Strategy with a Guarantee."
Presented at the
Oxford-Man Institute for Quantitative Finance's
*Research workshop at Oxford-Man Institute for Quantitative Finance*,
Oxford, UK.

Biedova,
O., Steblovskaya,
V.
R., Wallbaum,
K. (2018).
"Parameter Optimization for Constant Proportion Portfolio Insurance (CPPI) Investment."
Presented at the
Bentley University and Bryant University's
*Analytics without Borders*,
Bentley University, Waltham, MA.

Steblovskaya,
V.
R. (2017).
"Volatility Target Mechanism and Structured Investment Products with Capital Protection."
Presented at the
University of Amsterdam, Amsterdam, The Netherlands's
*The 8th General AMaMeF (Advanced Mathematical Methods in Finance) Conference*,
Amsterdam, The Netherlands.

Steblovskaya,
V.
R. (2017).
"Volatility Target Mechanism and Structured Investment Products with Capital Protection."
Presented at the
University of Liverpool, Liverpool, UK's
*The 3rd Symposium on Quantitative Finance and Risk Analysis (QFRA 2017)*,
Corfu, Greece.

Steblovskaya,
V.
R. (2016).
"Volatility Target Mechanism and Investment Products with Guarantees."
Presented at the
*Seminar of the Mathematical Sciences Department of Bentley University*,
Bentley University.

Steblovskaya,
V.
R., Albeverio,
S. (2015).
"Asymptotic analysis of infinite dimensional probabilistic integrals."
Presented at the
Centre Interfacultaire Bernoulli (CIB) - EPFL's
*Semester program "Geometric Mechanics, Variational and Stochastic Methods" *,
Lausanne, Switzerland.

Steblovskaya,
V.
R., Albeverio,
S. (2014).
"Asymptotic Analysis of Probabilistic Integrals in Infinite Dimensions."
Presented at the
Kansai University's
*International Conference on Stochastic Processes, Analysis and Mathematical Physics*,
Osaka, Japan.

Steblovskaya,
V.
R., Josephy,
N.
H., Kimball,
L.
M. (2013).
"Optimal Hedging under Proportional Transaction Costs."
Presented at the
American Mathematical Society's
* AMS Eastern Sectional Meeting, special section on Financial Mathematics*,
Boston College, Chestnut Hill, MA.

Steblovskaya,
V.
R. (2012).
"Asymptotic Analysis of Probabilistic Integrals in Infinite Dimensions."
Presented at the
Crimean Vernadsky University's
*International Conference Crimean Autumn Mathematical School-Symposium*,
Simferopol, Ukraine.

Steblovskaya,
V.
R. (2011).
"Investment Instruments with Volatility Targeting."
Presented at the
*Seminar of the Economics Department of Bonn University*,
Bonn, Germany.

Josephy,
N.
H., Kimball,
L.
M., Steblovskaya,
V.
R. (2006).
"Risk Management in Incomplete Markets."
Presented at the
*Hawaii International Conference on Statistics, Mathematics and Related Fields*,
Honolulu, Hawaii.

Kimball,
L.
M., Josephy,
N.
H., Steblovskaya,
V.
R. (2006).
"Optimal Hedging in Incomplete Markets."
Presented at the
*SIAM Conference on Financial Mathematics and Engineering*,
Boston, MA.

### Service

**Department Service**

Committee Chair for Ph.D. in Business Analytics Task Force, 2016 - Present

Committee Member for Scholarly Activities Committee, 2015 - Present

Committee Chair for Departmental Search Committee, 2018 - 2019

Committee Chair for Departmental Search Committee, 2014 - 2015

Committee Chair for Departmental Scholarly Activities Committee, 2014 - 2014

Committee Chair for Scholarly Activities Committee, 2013 - 2013

Committee Member for Scholarly Activities Committee, 2013 - 2013

Committee Member for Scholarly Activities Committee, 2012 - 2012

Committee Chair for Search Committee, 2011 - 2012

Committee Chair for Search Committee, 2011 - 2011**University Service**

Committee Member for Research Council, 2012 - 2015**Professional Service**

Reviewer, Journal Article for AMS Math Reviews, 2015 - Present

Reviewer, Journal Article for International Journal of Theoretical and Applied Finance, 2015 - Present

Reviewer, Journal Article for Stochastics, 2011 - 2011

Reviewer, Journal Article for International Journal of Stochastic Analysis, 2011 - 2011