Sergei Levendorskii

Calico Science Consulting

Founder and partner

Austin, TX

United States

SCHOLARLY PAPERS

85

DOWNLOADS
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Top 3,757

in Total Papers Downloads

20,745

TOTAL CITATIONS
Rank 4,725

SSRN RANKINGS

Top 4,725

in Total Papers Citations

356

Scholarly Papers (85)

1.

American Options in the Heston Model With Stochastic Interest Rate

EFA 2008 Athens Meetings Paper
Number of pages: 22 Posted: 20 Nov 2007
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 1,185 (39,121)
Citation 10

Abstract:

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Optimal stopping, American options, regime switching,stochastic volatility models, Heston model,stochastic interest rate, CIR process

2.

Perpetual American Options and Real Options Under Mean-Reverting Processes

Number of pages: 27 Posted: 04 May 2005
Sergei Levendorskii
Calico Science Consulting
Downloads 847 (62,750)
Citation 6

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Real options, perpetual American options, exponential Ornstein-Uhlenbeck process, optimal stopping

3.

Practical Guide to Real Options in Discrete Time

Number of pages: 28 Posted: 06 Mar 2004
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 733 (76,100)
Citation 8

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Real options, embedded options, expected present value operators

4.

American Options in Regime-Switching Models

Number of pages: 36 Posted: 11 Sep 2006
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 617 (94,789)
Citation 11

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optimal stopping, American options, finite time horizon, regime switching, Levy processes, stochastic volatility models, stochastic interest rate models

5.

Optimal Stopping Made Easy

Number of pages: 19 Posted: 29 Oct 2004
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 612 (95,760)
Citation 4

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Real options, random walks on lattices, expected present value operators

6.

Refined and Enhanced Fast Fourier Transform Techniques, with an Application to the Pricing of Barrier Options

Number of pages: 33 Posted: 24 May 2008 Last Revised: 11 Jun 2008
Mitya Boyarchenko and Sergei Levendorskii
University of Michigan - Department of Mathematics and Calico Science Consulting
Downloads 566 (105,743)
Citation 16

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Option pricing, Fourier transform, FFT, Levy processes, Carr's randomization, barrier options, Wiener-Hopf factorization

7.

Calibration and Backtesting of the Heston Model for Counterparty Credit Risk

Number of pages: 11 Posted: 01 May 2016 Last Revised: 08 Jan 2018
Marco de Innocentis, Marco de Innocentis and Sergei Levendorskii
Credit Suisse Securities (Europe) LimitedThe Royal Bank of Scotland - NatWest Markets and Calico Science Consulting
Downloads 555 (108,383)
Citation 4

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Heston model, calibration, benchmarking, SR-11-7, backtest, COS, FFT, counterparty risk, CVA

8.

New Efficient Versions of Fourier Transform Method in Applications to Option Pricing

Number of pages: 64 Posted: 24 May 2011 Last Revised: 06 Jun 2011
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 550 (109,620)
Citation 2

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European Options, Greeks, FFT, Inverse Fourier Transform, COS, CONV, KoBoL, CGMY, VG Model, Hyperbolic iFT Method, Parabolic iFT Method

9.

Prices and Sensitivities of Barrier and First-Touch Digital Options in Levy-Driven Models

Number of pages: 43 Posted: 05 Jul 2008
Mitya Boyarchenko and Sergei Levendorskii
University of Michigan - Department of Mathematics and Calico Science Consulting
Downloads 543 (111,442)
Citation 23

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Option pricing, greeks, barrier options, first-touch digitals, Levy processes, KoBoL processes, CGMY model, Normal Inverse Gaussian processes, Variance Gamma processes, Fast Fourier transform, Carr's randomization, Wiener-Hopf factorization

10.

Efficient Pricing and Reliable Calibration in the Heston Model

Number of pages: 40 Posted: 04 Jan 2012
Sergei Levendorskii
Calico Science Consulting
Downloads 539 (112,516)
Citation 2

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Heston model, Fourier transform, European options, calibration

11.

American Options in Levy Models with Stochastic Volatility

Number of pages: 36 Posted: 20 Nov 2007 Last Revised: 12 May 2008
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 502 (122,695)
Citation 6

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optimal stopping, American options, regime switching, Levy processes, stochastic volatility models, Heston model, Bates model

12.

Fast and Accurate Pricing of Barrier Options Under Levy Processes

Number of pages: 32 Posted: 06 Dec 2007
Oleg E. Kudryavtsev and Sergei Levendorskii
Southern Federal University - Faculty of Mathematics, Mechanics and Computer Science and Calico Science Consulting
Downloads 482 (128,852)
Citation 19

Abstract:

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barrier options, Levy processes, numerical methods

13.

Eigenfunction Expansion Method in Multi-Factor Models

Number of pages: 52 Posted: 01 Dec 2004
Nina Boyarchenko and Sergei Levendorskii
Federal Reserve Banks - Federal Reserve Bank of New York and Calico Science Consulting
Downloads 443 (142,605)
Citation 3

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Derivative pricing, multi-factor exactly solvable models, eigenfunction expansion, continuous algebraic Riccati equations, Lyapunov equations, representation theory of Lie algebras, Hermite polynomials

14.

Pricing of Discretely Sampled Asian Options Under Levy Processes

Number of pages: 39 Posted: 21 Jun 2012
Sergei Levendorskii and Jiayao Xie
Calico Science Consulting and affiliation not provided to SSRN
Downloads 394 (163,055)
Citation 11

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Option pricing, flat iFT method, parabolic iFT method, FFT, refined and enhanced FFT, L\'evy processes, KoBoL, CGMY, BM, Asian options

15.

The Eigenfunction Expansion Method in Multi-Factor Quadratic Term Structure Models

Number of pages: 48 Posted: 10 Jan 2006
Nina Boyarchenko and Sergei Levendorskii
Federal Reserve Banks - Federal Reserve Bank of New York and Calico Science Consulting
Downloads 379 (170,334)
Citation 4

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Derivative pricing, swaptions, caps and floors, multi-factor exactly solvable models, eigenfunction expansion, continuous algebraic Riccati equations, Lyapunov equations, representation theory of Lie algebras, Hermite polynomials

16.

Practical Guide to Real Options in Discrete Time Ii

Number of pages: 28 Posted: 04 Jan 2005
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 376 (171,883)
Citation 1

Abstract:

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Real options, embedded options, expected present value operators

17.

Valuation of Continuously Monitored Double Barrier Options and Related Securities

Number of pages: 56 Posted: 17 Aug 2008 Last Revised: 28 Jul 2009
Mitya Boyarchenko and Sergei Levendorskii
University of Michigan - Department of Mathematics and Calico Science Consulting
Downloads 371 (174,470)
Citation 6

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Option pricing, double barrier options, double-no-touch options, Levy processes, Variance Gamma processes, KoBoL processes, CGMY model, fast Fourier transform, Carr's randomization, Wiener-Hopf factorization, Laplace transform

18.

Exit Problems in Regime-Switching Models

Number of pages: 29 Posted: 08 Jun 2006
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 355 (183,199)
Citation 5

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regime switching, Levy processes, real options, exit problems

19.

A Note on Relative Efficiency of Some Numerical Methods for Pricing of American Options Under Levy Processes

Number of pages: 40 Posted: 28 Oct 2004
Sergei Levendorskii, Oleg E. Kudryavtsev and Vadim M. Zherder
Calico Science Consulting, Southern Federal University - Faculty of Mathematics, Mechanics and Computer Science and Rostov State Economic University
Downloads 350 (185,993)
Citation 2

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American options, Levy processes, numerical methods

20.

Snowball Effect of a CDS Market

Number of pages: 27 Posted: 31 Jul 2009
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 349 (186,625)

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credit default swaps, counterparty risk, asymmetric information

21.

Perpetual American Options in Regime-Switching Models

Number of pages: 27 Posted: 06 Sep 2006
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 331 (197,650)
Citation 6

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optimal stopping, American options, regime switching, Levy processes, stochastic volatility models, stochastic interest rate models

22.

American Options: The Epv Pricing Model

Number of pages: 19 Posted: 19 May 2004
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 322 (203,640)
Citation 12

Abstract:

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Levy processes, option pricing, dividend paying assets

23.

American Options in Lévy Models with Stochastic Interest Rates

Number of pages: 31 Posted: 20 Sep 2007
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 318 (206,396)
Citation 8

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optimal stopping, American options, regime switching, Lévy processes, stochastic interest rate models, quadratic term structure models

24.

Pricing of First Touch Digitals Under Normal Inverse Gaussian Processes

Number of pages: 23 Posted: 25 Mar 2004
Oleg E. Kudryavtsev and Sergei Levendorskii
Southern Federal University - Faculty of Mathematics, Mechanics and Computer Science and Calico Science Consulting
Downloads 311 (211,421)
Citation 4

Abstract:

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First touch digitals, Levy processes, fast pricing

25.

Efficient Laplace Inversion, Wiener-Hopf Factorization and Pricing Lookbacks

Number of pages: 36 Posted: 04 Jan 2012
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 304 (216,642)
Citation 3

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Levy processes, Wiener-Hopf factorization, lookbacks, KoBoL, CGMY

26.

Efficient Pricing Options with Barrier and Lookback Features Under Levy Processes

Number of pages: 29 Posted: 05 Jun 2011
Oleg E. Kudryavtsev and Sergei Levendorskii
Southern Federal University - Faculty of Mathematics, Mechanics and Computer Science and Calico Science Consulting
Downloads 293 (225,385)
Citation 7

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Levy processes, KoBoL, CGMY, barrier options, lookback options, barrier-lookback options, Wiener-Hopf factorization, inverse Laplace transform, Fast Fourier transform

27.

Fast Pricing and Calculation of Sensitivities of OTM European Options Under Levy Processes

Number of pages: 44 Posted: 14 Apr 2010 Last Revised: 28 Sep 2010
Sergei Levendorskii and Jiayao Xie
Calico Science Consulting and affiliation not provided to SSRN
Downloads 288 (229,441)
Citation 6

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Option pricing, sensitivities, Fast Fourier transform, refined and enhanced Fast Fourier transform, Integration-along-cut method, Levy processes, Normal Inverse Gaussian model, Variance Gamma model, KoBoL, CGMY, out-of-the-money options

28.

On Errors and Bias of Fourier Transform Methods in Quadratic Term Structure Models

Number of pages: 29 Posted: 10 Jan 2006
Nina Boyarchenko and Sergei Levendorskii
Federal Reserve Banks - Federal Reserve Bank of New York and Calico Science Consulting
Downloads 277 (238,875)
Citation 1

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Derivative pricing, quadratic term structure models, Fourier transform, Fast Fourier transform

29.

Consistency Conditions for Affine Term Structure Models Ii. Option Pricing Under Diffusions with Embedded Jumps

Number of pages: 20 Posted: 01 Dec 2004
Sergei Levendorskii
Calico Science Consulting
Downloads 277 (238,875)
Citation 4

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affine term structure models,Feynman-Kac

30.

American Options in Levy Models With Stochastic Interest Rate of CIR-Type

Number of pages: 37 Posted: 27 Nov 2007
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 276 (239,777)
Citation 5

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optimal stopping, American options, regime switching, Levy processes, stochastic interest rate, CIR model

31.

Asymptotic Pricing in Term Structure Models Driven by Jump-Diffusions of Ornstein-Uhlenbeck Type

Number of pages: 27 Posted: 14 Mar 2006
Nina Boyarchenko and Sergei Levendorskii
Federal Reserve Banks - Federal Reserve Bank of New York and Calico Science Consulting
Downloads 266 (248,926)
Citation 2

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Term structure models, Ornstein-Uhlenbeck processes, jump diffusions, derivative pricing, eigenfunction expansion, perturbation theory, asymptotic solutions

32.

American Options in Regime-Switching Lévy Models With Non-Semibounded Stochastic Interest Rates

Number of pages: 6 Posted: 20 Sep 2007
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 259 (255,720)
Citation 8

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optimal stopping, American options, regime switching, Lévy processes, stochastic interest rate models, Vasicek model, Black's model, Ornstein-Uhlenbeck driven models, affine term structure models

33.

A Theory of Endogenous Time Preference, and Discounted Utility Anomalies

Number of pages: 33 Posted: 20 Feb 2005
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 249 (266,122)

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Time preference, discounted utility anomalies, decision-making under uncertainty, optimal stopping

34.

The American Put and European Options Near Expiry, Under Levy Processes

Number of pages: 29 Posted: 23 Mar 2004
Sergei Levendorskii
Calico Science Consulting
Downloads 246 (269,315)
Citation 5

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Levy processes, early exercise boundary, option pricimg

35.

Real Options and the Universal Bad News Principle

Number of pages: 34 Posted: 04 May 2004
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 245 (270,433)
Citation 2

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Exit and entry, emdebbed options, technology adoption, capital expansion

36.

Perpetual Put-Like and Call-Like American Options Under Levy Processes, and Incremental Capital Expansion

Number of pages: 17 Posted: 06 Mar 2004
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 236 (280,489)
Citation 14

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Levy processes, optimal stopping, general payoffs

37.

Pricing American Options in Regime-Switching Models: FFT Realization

Number of pages: 23 Posted: 01 May 2008 Last Revised: 29 Jul 2008
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 235 (281,684)
Citation 3

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optimal stopping, American options, finite time horizon, regime switching, Levy models, stochastic volatility models, stochastic interest rate models

38.

Pseudo-Diffusions and Quadratic Term Structure Models

Number of pages: 39 Posted: 23 Mar 2004
Sergei Levendorskii
Calico Science Consulting
Downloads 225 (293,890)

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Levy processes, bond pricing, option pricing

39.

Estimating Equations for a Class of Time-Irreversible Multi-Factor Models

Number of pages: 26 Posted: 31 Jan 2008
Nina Boyarchenko and Sergei Levendorskii
Federal Reserve Banks - Federal Reserve Bank of New York and Calico Science Consulting
Downloads 205 (321,168)

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estimating function, spectral decomposition, eigenfunctions, eigenvalues, time irreversible processes, quadratic term structure models, affine term structure models, Ornstein-Uhlenbeck process

40.

Pricing Discrete Barrier Options and Credit Default Swaps Under Levy Processes

Number of pages: 63 Posted: 10 Jun 2012
Marco de Innocentis, Marco de Innocentis and Sergei Levendorskii
Credit Suisse Securities (Europe) LimitedThe Royal Bank of Scotland - NatWest Markets and Calico Science Consulting
Downloads 196 (334,811)
Citation 8

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Barrier options, credit default swaps, CDS, defaultable bonds, discrete monitoring, credit derivatives, Greeks, inverse Fourier transform, FFT, Hilbert transform, CONV method, COS method, Levy processes, KoBoL processes, CGMY model, Variance Gamma processes

41.

Prices of Barrier and First-Touch Digital Options in Levy-Driven Models, Near Barrier

Number of pages: 63 Posted: 28 Nov 2009
University of Michigan - Department of Mathematics, Credit Suisse Securities (Europe) LimitedThe Royal Bank of Scotland - NatWest Markets and Calico Science Consulting
Downloads 194 (338,050)
Citation 18

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barrier options, first-touch digitals, Levy processes,Carr's randomization, KoBoL processes, CGMY model,Normal Inverse Gaussian processes, Variance Gamma processes, Wiener-Hopf factorization, asymptotics

42.

American and European Options Near Expiry, Under Markov Processes with Jumps

Number of pages: 19 Posted: 02 Nov 2004
Sergei Levendorskii
Calico Science Consulting
Downloads 194 (338,050)
Citation 1

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European out-of-the-money options, early exercise boundary, processes with jumps

43.

American and European Options in Multi-Factor Jump-Diffusion Models, Near Expiry

Number of pages: 20 Posted: 26 Feb 2007
Sergei Levendorskii
Calico Science Consulting
Downloads 188 (348,042)
Citation 1

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critical price near expiry, American puts, calls, exchange options, bond options, European options near expiry, jump-diffusions, ATSM, QTSM

44.

General Option Exercise Rules, with Applications to Embedded Options and Monopolistic Expansion

Number of pages: 40 Posted: 02 Nov 2005
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 185 (353,222)
Citation 4

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embedded options, technology adoption, capital expansion

45.

Efficient Option Pricing Under Levy Processes, with CVA and FVA

Number of pages: 31 Posted: 25 Mar 2015
Justin Shek, Jimmy Law and Sergei Levendorskii
Bank of China International, Ernst & Young, UK and Calico Science Consulting
Downloads 179 (363,724)

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Credit Valuation Adjustment (CVA), Funding Valuation Adjustment (FVA), KoBoL, CGMY, Variance Gamma, DEJD, European Options, Barrier Options

46.

Double Spiral Method, Gamma Transform and Pricing Arithmetic Asian Options

Number of pages: 29 Posted: 23 Aug 2016
Sergei Levendorskii
Calico Science Consulting
Downloads 170 (380,869)

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Arithmetic Asian Options, Hilbert Transform, Generalized Hilbert Transform, Gamma Transform, Double Spiral Method, Fast Convolution, Fast Hilbert Transform

47.

Discount Factors Ex Post and Ex Ante, and Discounted Utility Anomalies

Number of pages: 35 Posted: 04 Nov 2005
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 166 (388,781)
Citation 4

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real options, time preference, discounted utility anomalies

48.

Pitfalls of the Fourier Transform Method in Affine Models, and Remedies

Number of pages: 47 Posted: 15 Dec 2013 Last Revised: 06 Dec 2015
Sergei Levendorskii
Calico Science Consulting
Downloads 164 (392,900)
Citation 2

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Affine models, quadratic term structure models, parabolic (inverse) Fourier transform, moment explosions, analytic continuation of characteristic functions, Riccati equations, Runge-Kutta method

49.

Universal Bad News Principle and Pricing of Options on Dividend-Paying Assets

Number of pages: 24 Posted: 19 Mar 2004
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 163 (395,026)
Citation 1

Abstract:

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Levy processes, option pricing, dividend paying assets

50.
Downloads 155 (412,327)
Citation 5

Preemption Games Under Levy Uncertainty

Number of pages: 47 Posted: 15 May 2011
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 105 (564,232)
Citation 2

Abstract:

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stopping time games, preemption, Levy uncertainty

Preemption Games Under Levy Uncertainty

Games and Economic Behavior, Forthcoming
Number of pages: 41 Posted: 23 Oct 2014
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 50 (870,027)
Citation 3

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stopping time games, preemption, Levy uncertainty

51.

Convergence of Price and Sensitivities in Carr's Randomization Approximation Globally and Near Barrier

Number of pages: 34 Posted: 26 Dec 2009
Sergei Levendorskii
Calico Science Consulting
Downloads 153 (416,840)

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barrier options, first-touch digitals, L'evy processes, Carr's randomization, KoBoL processes, CGMY model, Normal Inverse Gaussian processes, Variance Gamma processes, Wiener-Hopf factorization, asymptotics, Greeks

52.

Ultra-Fast Pricing Barrier Options and CDSs

Number of pages: 21 Posted: 14 Jan 2016
Sergei Levendorskii
Calico Science Consulting
Downloads 152 (419,128)
Citation 2

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Spectrally one-sided Levy processes, Wiener-Hopf factorization, barrier options, credit default swaps, Laplace transform, parabolic inverse Laplace transform

53.

Efficient Pricing Barrier Options and CDS in Lévy Models with Stochastic Interest Rate

Number of pages: 29 Posted: 02 Jan 2015 Last Revised: 06 Dec 2015
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 148 (428,336)
Citation 1

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Stochastic interest rate, quadratic term structure models, L'evy processes, Wiener-Hopf factorization, barrier options, credit default swaps, parabolic inverse Laplace transform, parabolic inverse Fourier transform, quanto CDS

54.

Ghost Calibration and Pricing Barrier Options and CDS in Spectrally One-Sided L'evy Models: The Parabolic Laplace Inversion Method

Number of pages: 38 Posted: 03 Jun 2014
Mitya Boyarchenko and Sergei Levendorskii
University of Michigan - Department of Mathematics and Calico Science Consulting
Downloads 144 (437,989)
Citation 4

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55.

Ambiguous Jump-Diffusions and Optimal Stopping

Number of pages: 41 Posted: 24 Oct 2014
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 138 (453,193)

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optimal stopping, jump-diffusion process, ambiguity

56.

Optimal Stopping in Levy Models, for Non-Monotone Discontinuous Payoffs

Number of pages: 24 Posted: 08 Sep 2010
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 129 (478,570)
Citation 1

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Optimal stopping, Levy processes, non-monotone an discontinuous payoffs

57.

Sinh-Acceleration: Efficient Evaluation of Probability Distributions, Option Pricing, and Monte-Carlo Simulations

Number of pages: 39 Posted: 05 Mar 2018 Last Revised: 09 May 2018
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 128 (481,507)
Citation 5

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sinh-regular Lévy processes, sinh-regular distributions, sinh-acceleration, Heston model, KoBoL, CGMY, CIR, CIR subordinator, Monte-Carlo simulations

58.

Discounting When Income is Stochastic and Discounted Utility Anomalies

Number of pages: 24 Posted: 22 Mar 2010 Last Revised: 06 Apr 2010
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 128 (481,507)

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time preference, discounted utility anomalies

59.

Discount Factors Ex Post and Ex Ante, and Discounted Utility Anomalies II

Number of pages: 15 Posted: 14 Jan 2009
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 128 (481,507)

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hyperbolic discounting, bid-ask asymmetry, gain-loss asymmetries

60.

Pricing Barrier Options and Credit Default Swaps (CDS) in Spectrally One-Sided Levy Models: The Parabolic Laplace Inversion Method

Number of pages: 34 Posted: 05 Nov 2013
Mitya Boyarchenko and Sergei Levendorskii
University of Michigan - Department of Mathematics and Calico Science Consulting
Downloads 121 (503,060)
Citation 4

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Spectrally one-sided Levy processes, Wiener-Hopf factorization, barrier options, credit default swaps, parabolic inverse Laplace transform, parabolic inverse Fourier transform

61.

Fractional-Parabolic Deformations with Sinh-Acceleration

Number of pages: 74 Posted: 07 Apr 2016
Sergei Levendorskii
Calico Science Consulting
Downloads 120 (506,263)
Citation 3

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Fourier Transform, Laplace Transform, Conformal Deformations, Simplified Trapezoid Rule, Hypergeometric Functions, Euler Integrals, Bessel Functions, Parabolic Cylinder Functions, Probability Distributions, Wiener-Hopf Factorization, European Options, Levy Models, Heston Model, SV Models

62.

Method of Paired Contours and Pricing Barrier Options and CDs of Long Maturities

Number of pages: 44 Posted: 20 May 2013
Sergei Levendorskii
Calico Science Consulting
Downloads 109 (544,266)
Citation 5

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Levy processes, Laplace inversion, Wiener-Hopf factorization,barrier options, lookbacks, Fourier transform, conformal deformations,CDS, joint distribution of a Levy process and its extrema, Gaver-Wynn-Rho algorithm, Gaver-Stehfest algorithm,

63.

Efficient inverse Z-transform: sufficient conditions

Number of pages: 36 Posted: 31 May 2023
Sergei Levendorskii
Calico Science Consulting
Downloads 108 (547,998)
Citation 2

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$Z$-transform, European options, barrier options, lookback options, discrete monitoring, random walks, L\'evy processes, SINH-regular L\'evy processes, Stieltjes-L\'evy processes, KoBoL, NIG, trapezoid rule, sinh-acceleration

64.

New Families of Integral Representations and Efficient Evaluation of Stable Distributions

Number of pages: 52 Posted: 16 May 2018
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 105 (559,699)
Citation 3

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Stable Lévy Processes, PDF, CPDF, Quantile, Conformal Principal Components, Sinh-Acceleration, Simplified Trapezoid Rule, Simplified Conic Trapezoid Rule, Richardson Extrapolation, Signal Processing

65.

Poisson Bandits of Evolving Shade of Gray

Number of pages: 44 Posted: 24 Aug 2015
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 105 (559,699)
Citation 2

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two-armed Poisson bandits, optimal stopping, jump-diffusion processes

66.

Conformal Pseudo-Asymptotics and Special Functions

Number of pages: 42 Posted: 11 Jan 2016
Sergei Levendorskii
Calico Science Consulting
Downloads 88 (628,885)
Citation 1

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Conformal deformations, simplified trapezoid rule, hypergeometric functions, Euler integrals, Bessel functions, parabolic cylinder functions, Whittaker functions, elliptic integrals

67.

Static and Semi-Static Hedging as Contrarian or Conformist Bets

Number of pages: 65 Posted: 14 Feb 2019
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 77 (680,484)
Citation 14

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Static Hedging, Semi-Static Hedging, Levy Processes, Exotic European Options, Barrier Options, Wiener-Hopf Factorization, Fourier-Laplace Inversion, Sinh-Acceleration

68.

Efficient Inverse Z-Transform and Pricing Barrier and Lookback Options With Discrete Monitoring

Number of pages: 28 Posted: 19 Jul 2022
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 72 (706,732)
Citation 2

Abstract:

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$Z$-transform, extrema of a random walk, lookback options, barrier options, discrete monitoring, L\'evy processes, Fourier transform, Hilbert transform, Fast Fourier transform, fast Hilbert transform, trapezoid rule, sinh-acceleration

69.

Perpetual American Options with Disconnected Exercise Regions in Lévy Models

Number of pages: 23 Posted: 29 Jul 2014
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 65 (746,811)

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Lévy processes, perpetual American options with additional barrier, perpetual straddles and strangles, Wiener-Hopf factorization, EPV operators

70.

CORRECT IMPLIED VOLATILITY SHAPES AND RELIABLE PRICING IN THE ROUGH HESTON MODEL

Number of pages: 42 Posted: 03 Jan 2025
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 63 (759,243)

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rough Heston model, fractional Adams method, Fourier transform, sinh-acceleration, CM method, COS method, Lewis method, calibration, conformal bootstrap principle MSC2020 codes: 60-08, 60E10, 60G10, 60G22, 65C20, 65D30, 65G20, 91G20, 91G60 Contents

71.

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

Number of pages: 45 Posted: 23 Oct 2021
Svetlana Boyarchenko, Sergei Levendorskii, Justin Kirkby and Zhenyu Cui
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 61 (772,108)
Citation 10

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

72.

Conformal Accelerations Method and Efficient Evaluation of Stable Distributions

Number of pages: 26 Posted: 24 Jul 2018 Last Revised: 13 Aug 2018
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 59 (785,192)
Citation 11

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Stable Levy Processes, Monte Carlo Simulations, Conformal Principal Components, Sinh-Acceleration, Simplified Trapezoid Rule, Simplified Conic Trapezoid Rule, Richardson Extrapolation, Signal Processing

73.

Efficient Evaluation of Expectations of Functions of a Lévy Process and Its Extremum

Number of pages: 34 Posted: 30 Jun 2022
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 56 (806,166)
Citation 3

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74.

Alternative Models for FX: Pricing Double Barrier Options in Regime-switching Lévy Models With Memory

Number of pages: 6 Posted: 26 Mar 2024
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 54 (820,660)
Citation 1

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regime-switching Lévy processes, double barrier options, Wiener-Hopf factorization, Fourier transform, Laplace transform, Gaver-Wynn Rho algorithm, sinh-acceleration

75.

Levy Models Amenable to Efficient Calculations

Number of pages: 46 Posted: 15 Jun 2022
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 51 (843,559)
Citation 1

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Stieltjes-L\'evy processes, sinh-acceleration, SINH-regular L\'evy processes, HEJD, KoBoL, CGMY, NIG,Normal Tempered Stable L\'evy processes, Variance Gamma, Meixner processes, beta-model, meromorphic processes, Hyperbolic processes, Generalized Hyperbolic,subordinated BM

76.

Gauge Transformations in the Dual Space, and Pricing and Estimation in the Long Run in Affine Jump-Diffusion Models

Number of pages: 23 Posted: 13 Jan 2020 Last Revised: 26 Mar 2021
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 49 (859,383)

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affine jump-diffusions, eigenfunction expansion, long run, estimation, Ornstein-Uhlenbeck model, Vasicek model, square root model, CIR model

77.

Alternative models for FX, arbitrage opportunities and efficient pricing of double barrier options in L'evy models

Number of pages: 27 Posted: 20 Dec 2023
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 42 (920,204)
Citation 2

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Heston model, L\'evy processes KoBoL, double barrier options, Wiener-Hopf factorization, Fourier transform, Laplace transform, Gaver-Wynn Rho algorithm, sinh-acceleration, double spiral method

78.

Efficient Evaluation of Expectations of Functions of a Lévy Process and Its Extremum. II

Number of pages: 33 Posted: 08 Aug 2022
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 41 (929,636)

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Lévy process, extrema of a Lévy process, lookback options, barrier options, Fourier transform, Hilbert transform, Fast Fourier transform, fast Hilbert transform, Gaver-Wynn Rho algorithm, sinh-acceleration

79.

Efficient Evaluation of Double-Barrier Options and Joint CPDF of a Levy Process and Its Two Extrema

Number of pages: 37 Posted: 09 Nov 2022
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 40 (939,131)

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Levy process, extrema of a Levy process, double barrier options, Fourier transform, Gaver-Wynn Rho algorithm, sinh-acceleration

80.

Efficient evaluation of joint pdf of a L'evy process, its extremum, and hitting time of the extremum

Number of pages: 29 Posted: 20 Dec 2023
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 37 (968,678)
Citation 1

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L\'evy process, extrema of a L\'evy process, barrier options, Wiener-Hopf factorization, Fourier transform, Laplace transform, Gaver-Wynn Rho algorithm, sinh-acceleration, SINH-regular processes, Stieltjes-L\'evy processes

81.

Efficient Evaluation of Expectations of Functions of a Stable Levy Process and Its Extremum

Number of pages: 30 Posted: 30 Sep 2022
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 34 (999,391)

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stable L\'evy processes, extrema of a stable L\'evy process, fractional partial differential equations, Fourier transform, Gaver-Wynn Rho algorithm, sinh-acceleration, conformal acceleration technique

82.

Efficient inverse Z-transform and Wiener-Hopf factorization

Number of pages: 20 Posted: 07 May 2024
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 31 (1,031,604)
Citation 1

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Z-transform, high order moments, Wiener-Hopf factorization, spectral filtering, conformal acceleration, sinh-acceleration

83.

ASYMPTOTICS OF SURVIVAL PROBABILITIES AND LOWER TAIL PROBABILITY PROBLEM

Number of pages: 25 Posted: 13 Feb 2025
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 28 (1,065,847)

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Survival probability, lower tail probability problem, Wiener-Hopf factorization, Stieltjes-Lévy processes, SINH-regular Lévy processes, KoBoL, Normal inverse Gaussian processes, Variance Gamma processes, stable Lévy processes MSC2010 codes: 60G51, 60G52, 60-08, 65C05, 91G05, 91G20, 97M30

84.

Simulation of a L'evy process, its extremum, and hitting time of the extremum via characteristic functions

Number of pages: 19 Posted: 20 Dec 2023
Svetlana Boyarchenko and Sergei Levendorskii
University of Texas at Austin - Department of Economics and Calico Science Consulting
Downloads 16 (1,212,377)

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L\'evy process, extrema of a L\'evy process, barrier options, Wiener-Hopf factorization, Fourier transform, Laplace transform, Gaver-Wynn Rho algorithm, sinh-acceleration, SINH-regular processes, Stieltjes-L\'evy processes

85.

Prices and Sensitivities of Barrier and First-Touch Digital Options in Lévy-Driven Models

International Journal of Theoretical and Applied Finance (IJTAF), 2010
Posted: 08 Jun 2010
Mitya Boyarchenko and Sergei Levendorskii
University of Michigan - Department of Mathematics and Calico Science Consulting

Abstract:

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Option pricing, greeks, barrier options, first-touch digitals, Lévy processes, Fast Fourier transform; Carr's randomization; KoBoL processes; CGMY model; Normal Inverse Gaussian processes, Variance Gamma processes, Wiener–Hopf factorization