Nikolai Dokuchaev

Zhejiang University/University of Illinois at Urbana-Champaign Institute

Haining

Zhejiang

China

SCHOLARLY PAPERS

42

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Rank 21,317

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Top 21,317

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4,887

TOTAL CITATIONS
Rank 41,473

SSRN RANKINGS

Top 41,473

in Total Papers Citations

25

Scholarly Papers (42)

Mean-Reverting Market Model: Speculative Opportunities and Non-Arbitrage

Number of pages: 17 Posted: 17 Apr 2005
Nikolai Dokuchaev
Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 352 (172,771)
Citation 2

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diffusion market, mean-reverting model, arbitrage, technical analysis, self-financing strategies, universal portfolio

Mean-Reverting Market Model: Speculative Opportunities and Non-Arbitrage

Applied Mathematical Finance, Vol. 14, No. 4, pp. 319-337, 2007
Number of pages: 20 Posted: 15 Aug 2007
Nikolai Dokuchaev
Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 136 (430,059)

Abstract:

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diffusion market, mean-reverting model, arbitrage, technical analysis, self-financing strategies, universal portfolio

2.

Properties of Implied Volatility and Risk-Free Rate for Market Models with Risk-Neutral Valuation

Number of pages: 16 Posted: 19 Jul 2004
Nikolai Dokuchaev
Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 272 (228,780)

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diffusion market model, stochastic volatility, volatility smile, implied volatiliy, implied parameters

3.

Speculative Opportunities for Currency Exchange Under Soft Peg

Number of pages: 7 Posted: 07 Nov 2005
Nikolai Dokuchaev
Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 254 (245,179)

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portfolio strategies, currency exchange, soft peg, currency corridor, currency trading, speculations

4.

Bond Pricing Via Parameters Inferred from Options on a Stock

Number of pages: 10 Posted: 24 Sep 2004
Nikolai Dokuchaev
Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 213 (290,772)

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Bond price, diffusion market models, Black-Scholes, stochastic volatility, implied volatility, implied forward risk-free rate

5.

Two Unconditionally Implied Parameters and Volatility Smiles and Skews

Number of pages: 10 Posted: 01 Jun 2004
Nikolai Dokuchaev
Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 208 (297,257)
Citation 4

Abstract:

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volatility smile, volatility skew, market models, Black-Scholes, diffusion market, stochastic volatility

6.

Optimal Solution of Investment Problems Via Linear Parabolic Equations Generated by Kalman Filter

Number of pages: 25 Posted: 31 Mar 2005
Nikolai Dokuchaev
Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 203 (304,125)
Citation 2

Abstract:

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Optimal portfolio, non-observable parameters, Kalman filter

7.

Mean-Revering Discrete Time Market Models

Number of pages: 17 Posted: 22 Jan 2007 Last Revised: 27 Nov 2007
Nikolai Dokuchaev
Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 183 (334,452)

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discrete time market, mean-reverting model, arbitrage, technical analysis, self-financing strategies, universal portfolio

8.

On Models for Portfolio Selection with Short-Term Forecasting

Number of pages: 18 Posted: 03 Sep 2012 Last Revised: 07 Jan 2013
Nikolai Dokuchaev
Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 161 (373,911)

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stochastic market, portfolio selection, forecasting, myopic strategies

A Bounded Risk Strategy for a Market with Non-Observable Parameters

Number of pages: 15 Posted: 09 Oct 2002
Nikolai Dokuchaev and Andrey V. Savkin
Zhejiang University/University of Illinois at Urbana-Champaign Institute and University of New South Wales (UNSW) - School of Electrical Engineering and Telecommunications
Downloads 159 (377,760)
Citation 1

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bounded risk, portfolio selection, non-observable parameters, stochastic market models

A Bounded Risk Strategy for a Market with Non-Observable Parameters

Posted: 09 Oct 2002
Nikolai Dokuchaev and Andrey V. Savkin
Zhejiang University/University of Illinois at Urbana-Champaign Institute and University of New South Wales (UNSW) - School of Electrical Engineering and Telecommunications

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bounded risk, portfolio selection, non-observable parameters, stochastic market models

10.

Pricing Rule for Random Volatility with Uncertainty and a Correction of the Volatility Smile

Number of pages: 18 Posted: 24 May 2004
Nikolai Dokuchaev
Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 152 (392,580)
Citation 1

Abstract:

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Diffusion market model, stochastic volatility, volatility smile, Hamilton-Jacobi-Bellman equation

11.

Optimality of Myopic Strategies for Discrete Time Market: The Case of Exponential Utility

Number of pages: 7 Posted: 21 Jul 2008
Jianguang Liu and Nikolai Dokuchaev
Trent University and Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 137 (426,578)

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stochastic discrete time market, optimal portfolio, myopic strategies, exponential utility

12.

On Myopic Strategies for Discrete Time Market with Serial Correlation

Number of pages: 21 Posted: 09 Mar 2004
Nikolai Dokuchaev
Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 135 (431,493)
Citation 2

Abstract:

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Optimal portfolio, discrete time market, diffusion market, myopic strategies

13.

Analysis of Market Volatility via a Dynamically Purified Option Price Process

Number of pages: 21 Posted: 20 Aug 2013 Last Revised: 07 Nov 2014
Chuong Luong and Nikolai Dokuchaev
Curtin University - Department of Mathematics and Statistics and Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 134 (434,089)

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econometrics, implied volatility, volatility index, approximation of missing data, dynamic forecasting, purified option prices

14.

On Estimation of Volatility for Short Time Series of Stock Prices

Number of pages: 16 Posted: 28 Nov 2010 Last Revised: 12 Sep 2013
Nikolai Dokuchaev
Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 131 (441,861)
Citation 2

Abstract:

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econometrics, continuous time price models, discretization, short time series, volatility estimation, non-parametric estimation

15.

An Analysis of Volatility Spread via the Risk-Free Rate Proxy

Number of pages: 40 Posted: 25 Feb 2014 Last Revised: 12 Mar 2015
Lin-Yee Hin and Nikolai Dokuchaev
Department of Mathematics & Statistics, Curtin University and Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 119 (476,005)
Citation 1

Abstract:

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implied volatility, optimization, risk-free rate

16.

Mean Variance and Goal Achieving Portfolio for Discrete-Time Market With Currently Observable Source of Correlations

Number of pages: 19 Posted: 08 May 2007 Last Revised: 09 Mar 2009
Nikolai Dokuchaev
Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 119 (476,005)

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discrete time market, multi-period market, serial correlation, optimal portfolio, mean variance portfolio, goal achieving

17.

Controlled Options: Derivatives with Added Flexibility

Number of pages: 23 Posted: 07 Dec 2010 Last Revised: 14 Oct 2011
Nikolai Dokuchaev
Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 107 (514,860)

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tochastic control, exotic options, passport options, controlled options, multi-exercise options, continuous time market models

18.

Modelling Dependency of Volatility on Sampling Frequency via Delay Equations

Number of pages: 24 Posted: 26 Feb 2014 Last Revised: 10 Feb 2016
Chuong Luong and Nikolai Dokuchaev
Curtin University - Department of Mathematics and Statistics and Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 101 (536,493)
Citation 1

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volatility, multiple time-scales, sampling frequencies, equations with delay, stock price models

19.

Maximin Investment Problems for Discounted and Total Wealth

Number of pages: 14 Posted: 30 Mar 2006
Nikolai Dokuchaev
Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 101 (536,493)

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minimax problems, optimal portfolio, stochastic control

20.

On the Implied Volatility Layers Under the Future Risk-Free Rate Uncertainty

Number of pages: 22 Posted: 02 Jul 2013 Last Revised: 30 Apr 2014
Lin-Yee Hin and Nikolai Dokuchaev
Department of Mathematics & Statistics, Curtin University and Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 99 (543,929)
Citation 1

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implied volatility surfaces, implied volatility layers, model uncertainty, interest rate term structure

21.

Optimal Strategy for Gradual Liquidation of Equity from a Risky Asset

Number of pages: 8 Posted: 09 Apr 2008 Last Revised: 30 Jul 2012
Nikolai Dokuchaev
Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 95 (558,713)
Citation 1

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equity liquidation, optimal strategy, contingent claim replication

22.

Short Rate Forecasting Based on the Inference from the CIR Model for Multiple Yield Curve Dynamics

Number of pages: 42 Posted: 18 Dec 2014 Last Revised: 10 Jun 2015
Lin-Yee Hin and Nikolai Dokuchaev
Department of Mathematics & Statistics, Curtin University and Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 91 (573,948)

Abstract:

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interest rates, squared-root process, forecast, optimization

23.

Mutual Funds Theorem for Continuous Time Markets

Number of pages: 24 Posted: 18 Apr 2010 Last Revised: 14 Apr 2014
Nikolai Dokuchaev
Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 90 (577,905)

Abstract:

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Optimal Portfolio, Mutual Fund Theorem, Continuous Time Market Models

24.

On Martingale Measures and Pricing for Continuous Bond-Stock Market with Stochastic Bond

Number of pages: 30 Posted: 02 Aug 2011 Last Revised: 30 Sep 2014
Nikolai Dokuchaev
Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 88 (585,859)

Abstract:

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martingale pricing, stochastic bond price, incomplete market, hedging error

25.

Some Statistical Tests and Experiments for Correlation of Financial Series

Number of pages: 8 Posted: 02 Nov 2009 Last Revised: 04 Nov 2009
Nikolai Dokuchaev
Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 86 (594,011)

Abstract:

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financial time series, serial correlations, non-parametric methods, technical analysis, statistical validation

26.

On Myopic Strategies for Multi-Stock Discrete Time Market With Management Costs

Number of pages: 15 Posted: 11 Mar 2007
Nikolai Dokuchaev
Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 85 (598,196)
Citation 3

Abstract:

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discrete time market, serial correlation, optimal portfolio, myopic strategies

27.

On a Gap between Rational Annuitization Price for Producer and Price for Customer

Number of pages: 20 Posted: 23 Sep 2011 Last Revised: 01 Oct 2018
Nikolai Dokuchaev
Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 84 (602,435)

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annuities pricing, risk minimization, price disagreement, annuity puzzle

28.

Explicit Optimal Solution in Maximin Setting for Investment Problems with Totally Unhedgeable Coefficients

Presented in European Investment Review Conference. Paris,France, September 20-21, 2001
Number of pages: 22 Posted: 10 Dec 2003
Nikolai Dokuchaev
Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 84 (602,435)

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continuous market, uncertainty, optimal portfolio, minimax problems, saddle point

29.

Options with Added Flexibility: Irish Options and Their Pricing

Number of pages: 27 Posted: 01 Mar 2006
Nikolai Dokuchaev
Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 82 (611,075)

Abstract:

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American options, exotic options, Irish options, pricing rules

30.

Price Matching for Multiple Rescindable Options and European Options

Number of pages: 12 Posted: 23 May 2007
Nikolai Dokuchaev
Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 79 (624,169)

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American options, compound options, exotic options, multiple exercise, multiple rescissions, multiple stopping, pricing rules, Irish options

31.

On the Dynamics of the HKD Exchange Rate Under Convertibility Undertakings

Number of pages: 20 Posted: 10 Oct 2013
Hong Yee and Nikolai Dokuchaev
Curtin University - Department of Mathematics and Statistics and Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 77 (632,947)

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32.

On Strong Binomial Approximation for Stochastic Processes and Applications for Financial Modelling

Number of pages: 21 Posted: 05 Nov 2013 Last Revised: 09 Feb 2015
Nikolai Dokuchaev
Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 73 (651,423)

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stochastic processes, Donsker Theorem, binomial approximation, discretisation of Ito equations, incomplete market, complete market

33.

A Technical Note on Myopic Strategies and Discretization of Continuous Time Market Models

Number of pages: 7 Posted: 28 May 2008 Last Revised: 31 May 2008
Nikolai Dokuchaev
Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 72 (656,277)

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optimal portfolio, myopic strategies, discrete time market, diffusion market, discretization, first exit times

34.

A Smooth Component of the Fractional Brownian Motion and Optimal Portfolio Selection

Number of pages: 10 Posted: 24 Sep 2015 Last Revised: 25 Sep 2015
Nikolai Dokuchaev
Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 65 (691,250)
Citation 1

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fractional Brownian motion, drift, optimal portfolio, mean-variance portfolio, programmed control

35.

Mutual Fund Theorem for Continuous Time Markets with Random Coefficients

Number of pages: 22 Posted: 17 Nov 2009 Last Revised: 05 Jul 2011
Nikolai Dokuchaev
Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 63 (702,124)

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optimal portfolio, Mutual Fund Theorem, continuous time market models

36.

Reducing the Impact of the Stock Price Movements on the Implied Parameters

Number of pages: 10 Posted: 29 Apr 2013 Last Revised: 15 May 2013
Nikolai Dokuchaev
Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 55 (748,215)

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parameter estimation, Black-Scholes, implied volatility, implied forward risk-free rate

37.

Optimal Replication of Random Claims by Ordinary Integrals with Applications in Finance

Number of pages: 8 Posted: 07 Jan 2013
Nikolai Dokuchaev
Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 54 (754,568)

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38.

On the No-Arbitrage Market and Continuity in the Hurst Parameter

Number of pages: 10 Posted: 26 Sep 2015
Nikolai Dokuchaev
Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 46 (808,622)

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market models, portfolio selection, fractional Brownian motion, arbitrage, arbitrage-free market

39.

On statistical indistinguishability of complete and incomplete discrete time market models

Number of pages: 12 Posted: 21 Sep 2012 Last Revised: 12 Oct 2020
Nikolai Dokuchaev
Zhejiang University/University of Illinois at Urbana-Champaign Institute
Downloads 42 (838,219)
Citation 3

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price statistics, market completeness, market incompleteness, forecasting

40.

Multiple Rescindable Options and Their Pricing

International Journal of Theoretical and Applied Finance, Vol. 12, No. 4, pp. 545-575, 2009
Posted: 09 Dec 2009
Nikolai Dokuchaev
Zhejiang University/University of Illinois at Urbana-Champaign Institute

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American options, multiple exercise, multiple rescissions, multiple stopping, exotic options, pricing rules, Irish options

41.

Predictability on Finite Horizon for Processes with Exponential Decrease of Energy on Higher Frequencies

Signal processing, Vol. 90, No. 2, pp. 696-701, February 2010
Posted: 06 Nov 2009
Nikolai Dokuchaev
Zhejiang University/University of Illinois at Urbana-Champaign Institute

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nonparametric methods, spectral analysis, forecasting

42.

Bond Pricing and Two Unconditionally Implied Parameters Inferred from Option Prices

Applied Financial Economics Letters, Vol. 3, No. 2, pp. 109-113, March 2005
Posted: 04 Sep 2007
Nikolai Dokuchaev
Zhejiang University/University of Illinois at Urbana-Champaign Institute

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Bond price, diffusion market models, Black-Scholes, stochastic volatility, implied volatility, implied forward risk-free rate