Zhenyu Cui

Stevens Institute of Technology - School of Business

SCHOLARLY PAPERS

74

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11,523

SSRN CITATIONS
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204

CROSSREF CITATIONS

80

Ideas:
“  I am currently working on financial systemic risk and insider trading.  ”

Scholarly Papers (74)

1.

Pricing Timer Options

Journal of Computational Finance, Vol. 15, No. 1, 2011
Number of pages: 37 Posted: 19 May 2010 Last Revised: 24 Jan 2012
Carole Bernard and Zhenyu Cui
Grenoble Ecole de Management and Stevens Institute of Technology - School of Business
Downloads 1,628 (18,767)
Citation 1

Abstract:

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Stochastic volatility, Volatility derivative, timer option, quadratic variation, correlation, Heston model, Hull and White model.

2.

A Closed-form Model-free Implied Volatility Formula through Delta Families

Journal of Derivatives, forthcoming
Number of pages: 24 Posted: 06 May 2020 Last Revised: 24 Jul 2020
Stevens Institute of Technology - School of Business, Georgia Institute of Technology - The H. Milton Stewart School of Industrial & Systems Engineering (ISyE), Marist College - Department of Mathematics and Stevens Institute of Technology
Downloads 1,084 (34,200)

Abstract:

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Dirac Delta function, delta sequence, implied volatility, model-free, SVI, SABR, Heston

3.

Circular Arbitrage Detection Using Graphs

Stevens Institute of Technology School of Business Research Paper
Number of pages: 8 Posted: 07 Nov 2018
Zhenyu Cui and Stephen Michael Taylor
Stevens Institute of Technology - School of Business and Stevens Institute of Technology
Downloads 557 (83,307)

Abstract:

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Foreign Exchange, Arbitrage, Triangular Arbitrage, Max Plus Product

4.

A General Valuation Framework for SABR and Stochastic Local Volatility Models

Number of pages: 44 Posted: 09 Mar 2019
Zhenyu Cui, Justin Kirkby and Duy Nguyen
Stevens Institute of Technology - School of Business, Georgia Institute of Technology - The H. Milton Stewart School of Industrial & Systems Engineering (ISyE) and Marist College - Department of Mathematics
Downloads 490 (97,497)
Citation 11

Abstract:

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SABR, stochastic local volatility, quadratic local volatility, continuous-time Markov Chains, exotic options, American options, Asian options, option pricing, CTMC, occupation time derivatives, barrier options

5.

Detecting Arbitrage in the Foreign Exchange Market

Stevens Institute of Technology School of Business Research Paper
Number of pages: 24 Posted: 05 May 2018
Stevens Institute of Technology - School of Business, Stevens Institute of Technology - School of Business, Stevens Institute of Technology and Florida State University
Downloads 375 (133,230)
Citation 2

Abstract:

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Foreign Exchange, Toxic Arbitrage, Triangular Arbitrage, Perron-Frobenius Theorem

6.

Non-Affine GARCH Option Pricing Models, Variance Dependent Kernels, and Diffusion Limits

Number of pages: 54 Posted: 19 Dec 2015 Last Revised: 12 Jun 2017
University of Calgary, Stevens Institute of Technology - School of Business and Centre National de la Recherche Scientifique (CNRS)Nanyang Technological University
Downloads 288 (176,738)
Citation 12

Abstract:

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non-affine GARCH models, non-Gaussian innovations, exponential linear variance dependent pricing kernel, bivariate diffusion limit, option pricing

7.

Prices and Asymptotics for Discrete Variance Swaps

Applied Mathematical Finance, Forthcoming
Number of pages: 44 Posted: 23 Jul 2012 Last Revised: 19 Jun 2013
Carole Bernard and Zhenyu Cui
Grenoble Ecole de Management and Stevens Institute of Technology - School of Business
Downloads 281 (181,271)
Citation 11

Abstract:

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Discrete variance swaps, Heston model, Hull-White model, Schoebel-Zhu model

8.

Nearly Exact Option Price Simulation Using Characteristic Functions

International Journal of Theoretical and Applied Finance, Forthcoming
Number of pages: 37 Posted: 23 Jul 2012
Carole Bernard, Zhenyu Cui and Don McLeish
Grenoble Ecole de Management, Stevens Institute of Technology - School of Business and University of Waterloo
Downloads 280 (181,904)

Abstract:

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Characteristic function, Monte Carlo, Option pricing, Parisian option, Heston model

9.

A Note on Exchange Options Under Stochastic Interest Rates

Number of pages: 7 Posted: 17 Jun 2010
Carole Bernard and Zhenyu Cui
Grenoble Ecole de Management and Stevens Institute of Technology - School of Business
Downloads 255 (199,805)
Citation 1

Abstract:

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Exchange options, Stochastic interest rates

10.

Variance Risk Premium and Return Predictability: Evidence from the Chinese SSE 50 ETF Options

Stevens Institute of Technology School of Business Research Paper
Number of pages: 23 Posted: 26 Jul 2019 Last Revised: 09 Dec 2019
Zhenyu Cui, Zhiyong Li, Ying Wu and Mei Yu
Stevens Institute of Technology - School of Business, Beijing Foreign Studies University, Stevens Institute of Technology - School of Business and University of International Business and Economics (UIBE)
Downloads 242 (210,243)

Abstract:

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Emerging market, Variance risk premium, Downside variance risk premium, Upside variance risk premium, Delta hedging

11.

Continuous-Time Markov Chain and Regime Switching Approximations with Applications to Options Pricing

Number of pages: 32 Posted: 28 Jan 2019
Zhenyu Cui, Justin Kirkby and Duy Nguyen
Stevens Institute of Technology - School of Business, Georgia Institute of Technology - The H. Milton Stewart School of Industrial & Systems Engineering (ISyE) and Marist College - Department of Mathematics
Downloads 206 (244,899)
Citation 1

Abstract:

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Markov Chain, Options Pricing, FFT

12.

Systemic Risk and Optimal Fee Structure for Central Clearing Counterparty Under Partial Netting

Number of pages: 23 Posted: 28 Oct 2016 Last Revised: 18 Jan 2018
Zhenyu Cui, Qi Feng, Ruimeng Hu and Bin Zou
Stevens Institute of Technology - School of Business, University of Connecticut, University of California, Santa Barbara (UCSB) and University of Connecticut - Department of Mathematics
Downloads 198 (253,937)
Citation 2

Abstract:

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Clearing Counterparty (CCP), Clearing Fee, Optimization, Shortfall, Systemic Risk

13.

An Exact and Explicit Implied Volatility Inversion Formula

Number of pages: 26 Posted: 14 Feb 2018
Yuxuan Xia and Zhenyu Cui
Stevens Institute of Technology - School of Business and Stevens Institute of Technology - School of Business
Downloads 187 (267,335)
Citation 2

Abstract:

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Implied volatility, Taylor Series, Arbitrary Greeks, Lagrange inversion theorem, Operator Calculus

14.

VIX Derivatives Valuation and Estimation Based on Closed-Form Series Expansions

Stevens Institute of Technology School of Business Research Paper
Number of pages: 26 Posted: 02 Oct 2017 Last Revised: 21 Apr 2018
Zhe Zhao, Zhenyu Cui and Ionut Florescu
Stevens Institute of Technology, Stevens Institute of Technology - School of Business and Stevens Institute of Technology - School of Business
Downloads 180 (276,380)
Citation 2

Abstract:

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VIX derivatives, Hermite series, Stochastic volatility, Heston model, Mean-reverting CEV model

15.

Comment on 'Option Pricing Under the Merton Model of the Short Rate'

Number of pages: 5 Posted: 05 Mar 2010
Don McLeish and Zhenyu Cui
University of Waterloo and Stevens Institute of Technology - School of Business
Downloads 172 (287,604)
Citation 1

Abstract:

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Stochastic interest rates, change of numeraire, Merton short rate model

16.

The Opportunity Cost of Hedging under Incomplete Information: Evidence from ETF/Ns

Journal of Futures Markets, https://doi.org/10.1002/fut.22252
Number of pages: 32 Posted: 09 Jul 2020 Last Revised: 30 Jul 2021
Zhenyu Cui and Majeed Simaan
Stevens Institute of Technology - School of Business and Stevens Institute of Technology - School of Business
Downloads 159 (307,287)

Abstract:

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Portfolio Hedge, Parameter Uncertainty, Retail Investors, Inverse ETFs, Robinhood

17.

Comment on 'The Large-Maturity Smile for the Heston Model'

Number of pages: 9 Posted: 21 Mar 2012
Carole Bernard, Zhenyu Cui and Don McLeish
Grenoble Ecole de Management, Stevens Institute of Technology - School of Business and University of Waterloo
Downloads 157 (310,596)

Abstract:

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Moment explosion, Heston model, Asymptotics for large maturity, Essential smoothness, Large deviations principle

18.

Equity-Linked Annuity Pricing with Cliquet-Style Guarantees in Regime-Switching and Stochastic Volatility Models with Jumps

Insurance: Mathematics and Economics, Vol. 74, 2017, Stevens Institute of Technology School of Business Research Paper
Number of pages: 36 Posted: 05 Jan 2018
Zhenyu Cui, Justin Kirkby and Duy Nguyen
Stevens Institute of Technology - School of Business, Georgia Institute of Technology - The H. Milton Stewart School of Industrial & Systems Engineering (ISyE) and Marist College - Department of Mathematics
Downloads 147 (327,968)
Citation 13

Abstract:

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Life insurance, equity-linked annuity, cliquet, gurantee, stochastic volatility, regime-switching, jump diffusion

19.

Efficient Simulation of Stochastic Differential Equations Based on Markov Chain Approximations With Applications

Number of pages: 49 Posted: 11 Sep 2020
Zhenyu Cui, Justin Kirkby and Duy Nguyen
Stevens Institute of Technology - School of Business, Georgia Institute of Technology - The H. Milton Stewart School of Industrial & Systems Engineering (ISyE) and Marist College - Department of Mathematics
Downloads 145 (331,637)

Abstract:

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Simulation; SABR; stochastic local volatility; Markov chain; stochastic differential equation; finance

20.

Single-Transform Formulas for Pricing Asian Options in a General Approximation Framework under Markov Processes

Number of pages: 20 Posted: 20 Jan 2016 Last Revised: 09 Oct 2017
Zhenyu Cui, Chihoon Lee and Yanchu Liu
Stevens Institute of Technology - School of Business, Stevens Institute of Technology and Lingnan (University) College, Sun Yat-sen University, Guangzhou, China.
Downloads 141 (339,020)
Citation 11

Abstract:

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Finance, Asian option, Markov process, Continuous-Time Markov Chain, Laplace transform

21.

Partial Index Tracking enhanced Mean-Variance Portfolio

Number of pages: 24 Posted: 05 May 2021
Zhaokun Cai, Zhenyu Cui and Majeed Simaan
Stevens Institute of Technology - School of Business, Stevens Institute of Technology - School of Business and Stevens Institute of Technology - School of Business
Downloads 140 (340,975)

Abstract:

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ortfolio Optimization, Index Tracking, Parameter Estimation Risk

22.

Semi-explicit Optimal Pricing for Consumer Choice Models with Network Effects

Stevens Institute of Technology School of Business Research Paper
Number of pages: 25 Posted: 27 Dec 2016 Last Revised: 30 Oct 2019
Zhenyu Cui and Lingjiong Zhu
Stevens Institute of Technology - School of Business and Florida State University
Downloads 139 (342,845)

Abstract:

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Pricing, Choice Models, Multinomial Logit Choice, Network Effects, Revenue Management

23.

A Note on the Wang Transform for Stochastic Volatility Pricing Models

Number of pages: 14 Posted: 18 Oct 2015 Last Revised: 29 Jul 2016
University of Calgary, Stevens Institute of Technology - School of Business and Centre National de la Recherche Scientifique (CNRS)Nanyang Technological University
Downloads 135 (350,802)

Abstract:

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distortion function, stochastic discount factor, generalized local risk-neutral valuation relationship, GARCH models, weak convergence, stochastic volatility

24.

Optimal Investment in Equity and VIX Derivatives

Number of pages: 76 Posted: 16 Jul 2020 Last Revised: 20 Jul 2020
University of Science and Technology of China (USTC) - Department of Statistics and Finance, Stevens Institute of Technology - School of Business, Stevens Institute of Technology - School of Business and affiliation not provided to SSRN
Downloads 126 (369,495)
Citation 1

Abstract:

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optimal investment, stochastic control, VIX derivatives, HJB equation, incomplete market

25.

A Markov Chain Approximation Scheme for Option Pricing Under Skew Diffusions

Stevens Institute of Technology School of Business Research Paper
Number of pages: 31 Posted: 25 Jun 2019
Kailin Ding, Zhenyu Cui and Yongjin Wang
Nankai University - School of Mathematical Sciences, Stevens Institute of Technology - School of Business and Nankai University - Business School
Downloads 126 (369,495)
Citation 3

Abstract:

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Skew diffusion, local time, continuous-time Markov chain, option pricing, target zone,psychological barriers

Discrete-time Variance-optimal Deep Hedging in Affine GARCH Models

Number of pages: 35 Posted: 29 Aug 2020
Hongkai Cao, Zhenyu Cui and Yanchu Liu
Stevens Institute of Technology - School of Business, Stevens Institute of Technology - School of Business and Lingnan (University) College, Sun Yat-sen University, Guangzhou, China.
Downloads 95 (454,868)

Abstract:

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Finance; Affine GARCH models; Variance-optimal hedge; Deep learning; Transaction costs, Target volatility options

Discrete-Time Variance-Optimal Deep Hedging in Affine GARCH Models

Number of pages: 41 Posted: 18 Oct 2022
Hongkai Cao, Zhenyu Cui, Yanchu Liu and Ying Yu
Stevens Institute of Technology - School of Business, Stevens Institute of Technology - School of Business, Lingnan (University) College, Sun Yat-sen University, Guangzhou, China. and affiliation not provided to SSRN
Downloads 28 (806,801)

Abstract:

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Affine GARCH models, Variance-optimal hedge, deep learning, Transaction costs, Target volatility options.

27.

A Unified Valuation Framework for Variance Swaps under Non-Affine Stochastic Volatility Models

Number of pages: 38 Posted: 10 Jan 2017
University of Calgary, University of Calgary - Department of Mathematics and Statistics and Stevens Institute of Technology - School of Business
Downloads 123 (376,181)
Citation 1

Abstract:

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Variance Swaps, Non-Gaussian GARCH Models, Extended Girsanov Principle, Diffusion Limits, CBOE VIX

28.

Pricing Discretely Monitored Barrier Options Under Markov Processes Using a Markov Chain Approximation

Stevens Institute of Technology School of Business Research Paper
Number of pages: 44 Posted: 29 May 2019
Zhenyu Cui and Stephen Michael Taylor
Stevens Institute of Technology - School of Business and Stevens Institute of Technology
Downloads 122 (378,479)
Citation 3

Abstract:

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Discrete Barrier Options, Continuous-Time Markov Chains, Integral Equations, Z−Transform, Markov Process

29.

A Laplace Space Approach to American Options

Number of pages: 28 Posted: 30 Mar 2016
Jingtang Ma, Zhenyu Cui and Wenyuan Li
School of Economic Mathematics and Collaborative Innovation Center of Financial Security, Stevens Institute of Technology - School of Business and Southwestern University of Finance and Economics (SWUFE) - School of Economic Mathematics
Downloads 120 (383,168)

Abstract:

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American option pricing, Time-homogeneous diffusions, Jump diffusions, Laplace transform, Option bounds, Early exercise boundary

30.

Nonparametric Density Estimation by B-spline Duality

Stevens Institute of Technology School of Business Research Paper
Number of pages: 39 Posted: 08 Apr 2019
Zhenyu Cui, Justin Kirkby and Duy Nguyen
Stevens Institute of Technology - School of Business, Georgia Institute of Technology - The H. Milton Stewart School of Industrial & Systems Engineering (ISyE) and Marist College - Department of Mathematics
Downloads 117 (390,191)
Citation 4

Abstract:

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nonparametric density estimation, spline, empirical characteristic function, empirical density, fast Fourier transform, Levy processes, basis, PROJ, kernel density estimator

31.

Optimal Investment Problem Under Behavioral Setting: A Lagrange Duality Perspective

Number of pages: 49 Posted: 22 Mar 2021 Last Revised: 16 Oct 2021
affiliation not provided to SSRN, affiliation not provided to SSRN, Stevens Institute of Technology - School of Business, The Chinese University of Hong Kong (CUHK) - Department of Systems Engineering and Engineering Management and affiliation not provided to SSRN
Downloads 116 (392,544)

Abstract:

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Non-concave Utility, Probability Distortion, Concavification, Lagrange Duality, Relaxation Method

32.

Valuation of VIX and Target Volatility Options with Affine GARCH Models

Number of pages: 45 Posted: 13 Aug 2020
Stevens Institute of Technology - School of Business, University of Calgary, Stevens Institute of Technology - School of Business and University of Calgary - Department of Mathematics and Statistics
Downloads 115 (395,108)
Citation 5

Abstract:

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VIX Options, Target Volatility Options, Heston-Nandi GARCH Model, Inverse Gaussian Model, Joint Calibration

33.

Variable Annuities with VIX-Linked Fee Structure under a Heston-Type Stochastic Volatility Model

Number of pages: 36 Posted: 02 Nov 2016 Last Revised: 16 Nov 2016
Zhenyu Cui, Runhuan Feng and Anne MacKay
Stevens Institute of Technology - School of Business, University of Illinois at Urbana-Champaign and University of Quebec at Montreal (UQAM)
Downloads 112 (402,734)
Citation 6

Abstract:

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Variable Annuity, VIX Index, Dynamic Fee, Segregated Funds, Stochastic Volatility, Heston Model

34.

Pricing Continuously Monitored Barrier Options Under the Sabr Model: A Closed-Form Approximation

Number of pages: 26 Posted: 20 Dec 2017
Nian Yang, Yanchu Liu and Zhenyu Cui
Nanjing University - School of Business, Lingnan (University) College, Sun Yat-sen University, Guangzhou, China. and Stevens Institute of Technology - School of Business
Downloads 111 (405,372)

Abstract:

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SABR model, continuously monitored barrier options, survival density, closed-form approximation, stochastic volatility

35.

Impact of Flexible Periodic Premiums on Variable Annuity Guarantees

Number of pages: 35 Posted: 29 Feb 2016
Grenoble Ecole de Management, Stevens Institute of Technology - School of Business and Vrije Universiteit Brussel (VUB)
Downloads 105 (421,731)
Citation 1

Abstract:

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variable annuity, flexible premium, GMAB, GMDB, Asian options, conditioning

36.

Transform Analysis for Markov Processes and Applications: An Operator-based Approach

Stevens Institute of Technology School of Business Research Paper
Number of pages: 27 Posted: 07 Mar 2019
Stevens Institute of Technology - School of Business, Stevens Institute of Technology, Lingnan (University) College, Sun Yat-sen University, Guangzhou, China. and Florida State University
Downloads 100 (436,419)
Citation 2

Abstract:

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Transform analysis, Asset pricing, Occupation time, Markov Process, Finance

37.

Failure and Rescue in Central Clearing Counterparty Design

Stevens Institute of Technology School of Business Research Paper
Number of pages: 29 Posted: 25 Jul 2017 Last Revised: 16 Oct 2017
Zhenyu Cui, Chihoon Lee, Yanchu Liu and Kai Wang
Stevens Institute of Technology - School of Business, Stevens Institute of Technology, Lingnan (University) College, Sun Yat-sen University, Guangzhou, China. and Stevens Institute of Technology - School of Business
Downloads 98 (442,362)

Abstract:

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systemic risk, network model, central clearing counterparty, financial innovation

38.

First Hitting Time of Integral Diffusions and Applications

Number of pages: 16 Posted: 27 Feb 2017
Zhenyu Cui and Duy Nguyen
Stevens Institute of Technology - School of Business and Marist College - Department of Mathematics
Downloads 97 (445,283)
Citation 4

Abstract:

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First Hitting Time, Asian Options, Volatility Derivative, Stochastic Time Change, Laplace Transform

39.

Integral Representation of Vega for American Put Options

Number of pages: 10 Posted: 23 Aug 2016
Yanchu Liu, Zhenyu Cui and Ning Zhang
Lingnan (University) College, Sun Yat-sen University, Guangzhou, China., Stevens Institute of Technology - School of Business and Jiangxi University of Finance and Economics
Downloads 96 (448,327)

Abstract:

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American Put Options, Vega, Exercise Boundary, Integral Equation

40.

Efficient Simulation of Generalized SABR and Stochastic Local Volatility Models based on Markov Chain Approximations

Number of pages: 49 Posted: 02 Nov 2020
Zhenyu Cui, Justin Kirkby and Duy Nguyen
Stevens Institute of Technology - School of Business, Georgia Institute of Technology - The H. Milton Stewart School of Industrial & Systems Engineering (ISyE) and Marist College - Department of Mathematics
Downloads 92 (460,884)
Citation 8

Abstract:

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Simulation, SABR, stochastic local volatility, Markov chain

41.

An Efficient and Stable Method for Short Maturity Asian Options

Number of pages: 21 Posted: 10 Dec 2017
Stevens Institute of Technology - School of Business, Stevens Institute of Technology - School of Business, The Chinese University of Hong Kong (CUHK) - Department of Systems Engineering and Engineering Management and Stevens Institute of Technology - School of Business
Downloads 92 (460,884)
Citation 4

Abstract:

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Arithmetic Asian option, Markov Chain, Stable Greeks, Volatility Regime

42.

Convergence Analysis for Continuous-Time Markov Chain Approximation of Stochastic Local Volatility Models: Option Pricing and Greeks

Number of pages: 20 Posted: 04 Dec 2020
Jingtang Ma, Wensheng Yang and Zhenyu Cui
School of Economic Mathematics and Collaborative Innovation Center of Financial Security, School of Economic Mathematics, SWUFE and Stevens Institute of Technology - School of Business
Downloads 91 (464,046)
Citation 2

Abstract:

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Continuous-time Markov chains, stochastic local volatility models, option pric-ing, Greeks, convergence rates

43.

Closed-Form Variance Swap Prices under General Affine GARCH Models and Their Continuous-Time Limits

Number of pages: 30 Posted: 08 Aug 2017
University of Calgary, Stevens Institute of Technology - School of Business and Centre National de la Recherche Scientifique (CNRS)Nanyang Technological University
Downloads 90 (467,172)
Citation 4

Abstract:

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Variance Swaps, Realized Variance, Affine GARCH Models, Variance Dependent Pricing Kernels, Diffusion Limits

44.

On the Martingale Property in Stochastic Volatility Models Based on Time-Homogeneous Diffusions

Mathematical Finance, Forthcoming
Number of pages: 30 Posted: 02 Oct 2013 Last Revised: 12 Jul 2014
Carole Bernard, Zhenyu Cui and Don McLeish
Grenoble Ecole de Management, Stevens Institute of Technology - School of Business and University of Waterloo
Downloads 89 (470,462)

Abstract:

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Martingale property, Local martingale, Stochastic volatility, Engelbert-Schmidt zero-one law

45.

Semi-Analytical Valuation for Discrete Barrier Options under Time-Dependent Lévy Processes

Number of pages: 51 Posted: 10 Jan 2017
UBS AG, University of Wollongong, University of Birmingham and Stevens Institute of Technology - School of Business
Downloads 83 (490,971)
Citation 4

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Discrete Barrier Options, Lévy Processes, Fourier-Cosine Series

46.

A General Framework for Discretely Sampled Realized Variance Derivatives in Stochastic Volatility Models with Jumps

European Journal of Operational Research, 262(1), 2017, pg. 381-400, Stevens Institute of Technology School of Business Research Paper
Number of pages: 43 Posted: 05 Jan 2018
Zhenyu Cui, Justin Kirkby and Duy Nguyen
Stevens Institute of Technology - School of Business, Georgia Institute of Technology - The H. Milton Stewart School of Industrial & Systems Engineering (ISyE) and Marist College - Department of Mathematics
Downloads 82 (494,504)
Citation 16

Abstract:

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variance swap, volatility derivatives, regime-switching, jump diffusion, stochastic volatility, realized variance

47.

A General Framework for Time-Changed Markov Processes and Applications

Stevens Institute of Technology School of Business Research Paper
Number of pages: 34 Posted: 29 Aug 2018
Zhenyu Cui, Justin Kirkby and Duy Nguyen
Stevens Institute of Technology - School of Business, Georgia Institute of Technology - The H. Milton Stewart School of Industrial & Systems Engineering (ISyE) and Marist College - Department of Mathematics
Downloads 79 (505,461)
Citation 12

Abstract:

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Finance, Time Change, Markov Process, Option Pricing, Continuous-Time Markov Chains, Laplace Transform, Subordination, Variance Swaps, Bermudan Options

48.

Stochastic Areas of Diffusions and Applications in Risk Theory

Number of pages: 20 Posted: 02 Dec 2013
Zhenyu Cui
Stevens Institute of Technology - School of Business
Downloads 77 (513,097)
Citation 1

Abstract:

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Time-homogeneous diffusion, first passage time, occupation time, Azema-Yor stopping time, Omega risk model

49.

Convergence Rate Analysis for the Continuous-Time Markov Chain Approximation of Occupation Time Derivatives and Asian Option Greeks

Stevens Institute of Technology School of Business Research Paper
Number of pages: 43 Posted: 09 Jan 2019 Last Revised: 08 May 2019
Jingtang Ma, Wensheng Yang and Zhenyu Cui
School of Economic Mathematics and Collaborative Innovation Center of Financial Security, School of Economic Mathematics, SWUFE and Stevens Institute of Technology - School of Business
Downloads 75 (520,749)
Citation 4

Abstract:

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Continuous-Time Markov Chains, Error Analysis, Non-Uniform Grids, Convergence Rates, Path-Dependent Options, Greeks, Matrix-Analytic Method, Laplace Inversion

50.

Density of Generalized Verhulst Process and Bessel Process with Constant Drift

Number of pages: 12 Posted: 08 Apr 2016
Zhenyu Cui and Duy Nguyen
Stevens Institute of Technology - School of Business and Marist College - Department of Mathematics
Downloads 74 (524,781)

Abstract:

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Verhulst process, Exponential change of measure, geometric Brownian motion, Bessel process with constant drift

51.

Options Valuation and Calibration for Leveraged Exchange-Traded Funds with Heston-Nandi and Inverse Gaussian GARCH Models

Number of pages: 31 Posted: 02 Jan 2019
Hongkai Cao, Rupak Chatterjee and Zhenyu Cui
Stevens Institute of Technology - School of Business, Department of Physics and Stevens Institute of Technology - School of Business
Downloads 73 (528,781)
Citation 1

Abstract:

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GARCH Model, LETF Options, Heston Nandi, Inverse Gaussian, Calibration

52.

Full-fledged SABR through Markov Chains

Stevens Institute of Technology School of Business Research Paper
Number of pages: 13 Posted: 14 Mar 2019
Zhenyu Cui, Justin Kirkby and Duy Nguyen
Stevens Institute of Technology - School of Business, Georgia Institute of Technology - The H. Milton Stewart School of Industrial & Systems Engineering (ISyE) and Marist College - Department of Mathematics
Downloads 72 (532,838)
Citation 2

Abstract:

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SABR model, Markov chain, exotic options, calibration

53.

Omega Diffusion Risk Model with Surplus-Dependent Tax and Capital Injections

Insurance: Mathematics and Economics, Forthcoming
Number of pages: 27 Posted: 14 Mar 2016
Zhenyu Cui and Duy Nguyen
Stevens Institute of Technology - School of Business and Marist College - Department of Mathematics
Downloads 71 (536,959)
Citation 2

Abstract:

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Time-homogeneous diffusion, Az'ema-Yor process; occupation time, risk model with tax, Omega risk model, reflected diffusion

A Data-Driven Framework for Consistent Financial Valuation and Risk Measurement

Number of pages: 51 Posted: 31 Jul 2020
Zhenyu Cui, Justin Kirkby and Duy Nguyen
Stevens Institute of Technology - School of Business, Georgia Institute of Technology - The H. Milton Stewart School of Industrial & Systems Engineering (ISyE) and Marist College - Department of Mathematics
Downloads 34 (758,179)

Abstract:

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Finance, Risk Management, Data-Driven, Non-Parametric, Empirical Characteristic Function, Empirical Density, Model-Free

A Data-Driven Framework for Consistent Financial Valuation and Risk Measurement

Number of pages: 51 Posted: 01 Aug 2020
Zhenyu Cui, Justin Kirkby and Duy Nguyen
Stevens Institute of Technology - School of Business, Georgia Institute of Technology - The H. Milton Stewart School of Industrial & Systems Engineering (ISyE) and Marist College - Department of Mathematics
Downloads 34 (758,179)
Citation 3

Abstract:

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Finance, Risk Management, Data-Driven, Non-Parametric, Empirical Characteristic Function, Empirical Density, Model-Free

55.

A Unified Approach to Bermudan and Barrier Options Under Stochastic Volatility Models with Jumps

Journal of Economic Dynamics and Control, Vol. 80, 2017, Stevens Institute of Technology School of Business Research Paper
Number of pages: 41 Posted: 05 Jan 2018
Justin Kirkby, Duy Nguyen and Zhenyu Cui
Georgia Institute of Technology - The H. Milton Stewart School of Industrial & Systems Engineering (ISyE), Marist College - Department of Mathematics and Stevens Institute of Technology - School of Business
Downloads 68 (549,575)
Citation 10

Abstract:

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American options, Barrier options, Stochastic volatility, Regime switching, Jump diffusion, Frame projection

56.

Risk Measures for Variable Annuities: A Hermite Series Expansion Approach

Number of pages: 35 Posted: 05 Aug 2017
Zhenyu Cui, J.H. Kim, Guanghua Lian and Yanchu Liu
Stevens Institute of Technology - School of Business, Stevens Institute of Technology, University of California, Berkeley - Haas School of Business and Lingnan (University) College, Sun Yat-sen University, Guangzhou, China.
Downloads 68 (549,575)

Abstract:

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Variable Annuity, GMDB, GMMB, Risk Measures, Value-At-Risk, Conditional-Tail-Expectation

57.

Omega Risk Model with Tax

Number of pages: 21 Posted: 31 Mar 2014
Zhenyu Cui
Stevens Institute of Technology - School of Business
Downloads 61 (580,811)

Abstract:

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Time-homogeneous diffusion, Azema-Yor process, occupation time, Laplace transform, risk model with tax, Omega risk model

58.

A Novel Sampling Method based on Orthogonal Polynomial Expansions and Applications

Number of pages: 20 Posted: 10 Jun 2021
Stevens Institute of Technology - School of Business, Georgia Institute of Technology - The H. Milton Stewart School of Industrial & Systems Engineering (ISyE), Marist College - Department of Mathematics and Stevens Institute of Technology
Downloads 60 (585,544)

Abstract:

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integral transform, inverse transform method, orthogonal polynomial, sampling

59.

Lower-Upper Bound Approach for Pricing American Strangles

Number of pages: 21 Posted: 02 Jun 2016
Jingtang Ma, Wenyuan Li and Zhenyu Cui
School of Economic Mathematics and Collaborative Innovation Center of Financial Security, Southwestern University of Finance and Economics (SWUFE) - School of Economic Mathematics and Stevens Institute of Technology - School of Business
Downloads 60 (585,544)

Abstract:

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Option pricing, American strangle, lower and upper bounds

60.

Variance Comparison between Infinitesimal Perturbation Analysis and Likelihood Ratio Estimators to Stochastic Gradient

Operations Research Letters forthcoming
Number of pages: 16 Posted: 02 Jul 2021 Last Revised: 06 Feb 2022
Zhenyu Cui, Yanchu Liu and Ruodu Wang
Stevens Institute of Technology - School of Business, Lingnan (University) College, Sun Yat-sen University, Guangzhou, China. and University of Waterloo - Department of Statistics and Actuarial Science
Downloads 57 (600,229)

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Stochastic Gradient, Infinitesimal Perturbation Analysis, Likelihood Ratio, Variance Comparison, Option Delta

61.

Integral Representation of Probability Density of Stochastic Volatility Models and Timer Options

Number of pages: 25 Posted: 08 Dec 2017
Stevens Institute of Technology - School of Business, Georgia Institute of Technology - The H. Milton Stewart School of Industrial & Systems Engineering (ISyE), University of California, Berkeley - Haas School of Business and Marist College - Department of Mathematics
Downloads 54 (615,559)
Citation 4

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stochastic volatility, exact probability density,implied volatility, timer option

62.

On the Optimal Design of the Randomized Unbiased Monte Carlo Estimators

Stevens Institute of Technology School of Business Research Paper
Number of pages: 26 Posted: 01 May 2019
Stevens Institute of Technology - School of Business, Stevens Institute of Technology, Florida State University and Stevens Institute of Technology - School of Business
Downloads 53 (620,819)
Citation 1

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simulation optimization, complexity, unbiased estimato, stochastic model applications

63.

Comment on 'Modeling Non-Monotone Risk Aversion Using Sahara Utility Functions'

Journal of Economic Theory, Forthcoming
Number of pages: 3 Posted: 31 Mar 2014
Zhenyu Cui
Stevens Institute of Technology - School of Business
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64.

Hybrid Laplace Transform and Finite Difference Methods for Pricing American Options under Complex Models

Computers & Mathematics with Applications, Volume 74, Issue 3, Pages 369-384, 1 August 2017
Number of pages: 23 Posted: 28 Sep 2017
Jingtang Ma, Zhiqiang Zhou and Zhenyu Cui
School of Economic Mathematics and Collaborative Innovation Center of Financial Security, Southwestern University of Finance and Economics (SWUFE) and Stevens Institute of Technology - School of Business
Downloads 52 (626,115)

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American Option Pricing, Finite Difference Methods, Laplace Transform Methods, Partial Differential Equations, Fractional Partial Differential Equations

65.

A New Proof of the Engelbert-Schmidt Zero-One Law for Time-Homogeneous Diffusions

Forthcoming, Statistics and Probability Letters
Number of pages: 10 Posted: 09 Dec 2013 Last Revised: 17 Mar 2014
Zhenyu Cui
Stevens Institute of Technology - School of Business
Downloads 52 (626,115)
Citation 1

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Engelbert-Schmidt zero-one law, diffusion, integral functional

66.

An Integral Representation for Elasticity and Sensitivity for Stochastic Volatility Models

Number of pages: 25 Posted: 12 Oct 2017
Zhenyu Cui, Duy Nguyen and Hyungbin Park
Stevens Institute of Technology - School of Business, Marist College - Department of Mathematics and Seoul National University
Downloads 49 (642,630)

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Sensitivity, elasticity, growth-rate risk, quantile, Greeks, exponential measure change, stochastic volatility models.

67.

Semimartingale and Continuous-Time Markov Chain Approximation for Rough Stochastic Local Volatility Models

Number of pages: 29 Posted: 18 Oct 2021 Last Revised: 01 Nov 2021
Jingtang Ma, Wensheng Yang and Zhenyu Cui
School of Economic Mathematics and Collaborative Innovation Center of Financial Security, School of Economic Mathematics, SWUFE and Stevens Institute of Technology - School of Business
Downloads 42 (684,013)
Citation 1

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Continuous-time Markov chain, rough stochastic local volatility models, semi- martingale approximation, option pricing

68.

Shortfall Risk Through Fenchel Duality

Number of pages: 11 Posted: 04 Mar 2018
Zhenyu Cui and Jun Deng
Stevens Institute of Technology - School of Business and University of International Business and Economics (UIBE) - School of Banking and Finance
Downloads 38 (710,056)

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shortfall risk, Fenchel duality,enlargement of filtration, risk measure, hedging

69.

Magnitude and Speed of Consecutive Market Crashes in a Diffusion Model

Number of pages: 20 Posted: 21 Dec 2016
Zhenyu Cui and Duy Nguyen
Stevens Institute of Technology - School of Business and Marist College - Department of Mathematics
Downloads 38 (710,056)
Citation 2

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Time-homogeneous diffusion, generalized drawdown process,drawdown, Laplace transform, Doob-Meyer decomposition

70.

Optimal Unbiased Estimation for Expected Cumulative Cost

Stevens Institute of Technology School of Business Research Paper
Number of pages: 13 Posted: 30 Apr 2018
Stevens Institute of Technology - School of Business, University of Maryland - College Park, Peking University and Florida State University
Downloads 33 (745,011)
Citation 1

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unbiased simulation, optimal control, cumulative cost, efficiency of estimator

71.

SINH-Acceleration for B-Spline Projection with Option Pricing Applications

Number of pages: 45 Posted: 23 Oct 2021
University of Texas at Austin - Department of Economics, Calico Science Consulting, Georgia Institute of Technology - The H. Milton Stewart School of Industrial & Systems Engineering (ISyE) and Stevens Institute of Technology - School of Business
Downloads 31 (760,013)
Citation 6

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options pricing, Fourier, sinh-acceleration, barrier option, inversion, B-spline

72.

Heterogeneous Agents and Learning in Continuous Time

Number of pages: 44 Posted: 12 Jul 2021
Chuan Ding, Yang Li and Zhenyu Cui
School of Economic Mathematics, School of Economic Mathematics and Stevens Institute of Technology - School of Business
Downloads 27 (791,101)

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Bayesian learning, Agent heterogeneity, Principal-agent model, Optimal contract

73.

Delta family approach for the stochastic control problems of utility maximization

Number of pages: 27 Posted: 28 Mar 2022
Jingtang Ma, Zhengyang Lu and Zhenyu Cui
School of Economic Mathematics and Collaborative Innovation Center of Financial Security, Southwestern University of Finance and Economics (SWUFE) and Stevens Institute of Technology - School of Business
Downloads 26 (807,511)

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stochastic control, Dirac Delta function, Delta sequence, HJB equation

74.

Convergence of the Discrete Variance Swap in Time-Homogeneous Diffusion Models

Quantitative Finance Letters, Forthcoming
Posted: 01 Oct 2013 Last Revised: 09 May 2014
Carole Bernard, Zhenyu Cui and Don McLeish
Grenoble Ecole de Management, Stevens Institute of Technology - School of Business and University of Waterloo

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Discrete variance swap, realized variance, quadratic variation, time-homogeneous diffusions