Peter Carr

New York University Finance and Risk Engineering

Dept. Chair

6 MetroTech Center

Brooklyn, NY 11201

United States

http://engineering.nyu.edu/people/peter-paul-carr

  • New York University Finance and Risk Engineering

SCHOLARLY PAPERS

54

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341

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610

Scholarly Papers (54)

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1.

Variance Risk Premia

AFA 2005 Philadelphia Meetings
Number of pages: 44 Posted: 17 Aug 2004 Last Revised: 25 Oct 2007
Liuren Wu and Peter Carr
City University of New York, CUNY Baruch College - Zicklin School of Business and New York University Finance and Risk Engineering
Downloads 4,509 (2,041)
Citation 11

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Stochastic volatility, variance risk premia, variance swap, volatility swap, option pricing, expectation hypothesis

2.

Analyzing Volatility Risk and Risk Premium in Option Contracts: A New Theory

NYU Tandon Research Paper No. 1701685
Number of pages: 56 Posted: 03 Nov 2010 Last Revised: 26 Jun 2017
Peter Carr and Liuren Wu
New York University Finance and Risk Engineering and City University of New York, CUNY Baruch College - Zicklin School of Business
Downloads 4,269 (2,245)
Citation 22

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Implied volatility surface; Option realized volatility; Expected volatility surface; Volatility risk premium; Vega-gamma-vanna-volga; Proportional variance dynamics

3.

Stock Options and Credit Default Swaps: A Joint Framework for Valuation and Estimation

Number of pages: 43 Posted: 24 Jun 2005
Liuren Wu and Peter Carr
City University of New York, CUNY Baruch College - Zicklin School of Business and New York University Finance and Risk Engineering
Downloads 2,589 (5,252)
Citation 17

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Stock options, credit default swaps, default arrival rate, return variance dynamics, option pricing, time-changed Levy processes

4.

Static Hedging of Standard Options

NYU Tandon Research Paper No. 585451
Number of pages: 61 Posted: 02 Sep 2004
Peter Carr and Liuren Wu
New York University Finance and Risk Engineering and City University of New York, CUNY Baruch College - Zicklin School of Business
Downloads 2,276 (6,497)
Citation 50

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Static hedging, jumps, option pricing, Monte Carlo, S&P 500 index options, stochastic volatility

5.

Leverage Effect, Volatility Feedback, and Self-Exciting Market Disruptions

Bloomberg Portfolio Research Paper No. 2009-03-FRONTIERS
Number of pages: 66 Posted: 25 Nov 2008 Last Revised: 26 Jun 2017
Peter Carr and Liuren Wu
New York University Finance and Risk Engineering and City University of New York, CUNY Baruch College - Zicklin School of Business
Downloads 2,102 (7,431)
Citation 19

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Option pricing, implied volatility, leverage effect, volatility feedback, self-exciting, market disruptions, jumps, constant elasticity of variance, time-changed Levy processes, Fast Fourier Transform, Gauss-Hermite quadrature, unscented Kalman filter

6.

Stochastic Volatility for Levy Processes

EFA 2002 Berlin Meetings Presented Paper
Number of pages: 35 Posted: 04 Jun 2002
Peter Carr, Hélyette Geman, Dilip B. Madan and Marc Yor
New York University Finance and Risk Engineering, University of London - Economics, Mathematics and Statistics, University of Maryland - Robert H. Smith School of Business and Universite Paris
Downloads 2,068 (7,639)
Citation 73

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7.

A Tale of Two Indices

Downloads 1,938 ( 8,555)
Citation 102

A Tale of Two Indices

Number of pages: 38 Posted: 28 Dec 2005
Peter Carr and Liuren Wu
New York University Finance and Risk Engineering and City University of New York, CUNY Baruch College - Zicklin School of Business
Downloads 1,603 (11,397)
Citation 12

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volatility index; variance swap; volatility swap

A Tale of Two Indices

NYU Working Paper No. SC-CFE-04-01
Number of pages: 38 Posted: 07 Nov 2008
Peter Carr and Liuren Wu
New York University Finance and Risk Engineering and City University of New York, CUNY Baruch College - Zicklin School of Business
Downloads 335 (96,823)
Citation 8

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8.

Time for a Change: The Variance Gamma Model and Option Pricing

Number of pages: 12 Posted: 12 Jan 2007
Harvey J. Stein, Peter Carr and Apollo Hogan
Bloomberg L.P., New York University Finance and Risk Engineering and Bloomberg L.P. - R&D
Downloads 1,913 (8,748)
Citation 9

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Black-Scholes, variance gamma model, skew, kurtosis, volatility smile, option pricing, equity options, time changed Brownian motion

9.

Solving the Optimal Trading Trajectory Problem Using a Quantum Annealer

IEEE Journal of Selected Topics in Signal Processing, Forthcoming, 2016
Number of pages: 12 Posted: 24 Aug 2015 Last Revised: 26 Jun 2017
Gili Rosenberg, Poya Haghnegahdar, Phil Goddard, Peter Carr, Kesheng Wu and Marcos Lopez de Prado
1QBit, 1QBit, 1QBit, New York University Finance and Risk Engineering, University of California, Berkeley - Lawrence Berkeley National Laboratory (Berkeley Lab) and Cornell University - Operations Research & Industrial Engineering
Downloads 1,854 (9,203)
Citation 2

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Qubit, quantum computer, optimal trading trajectory, portfolio optimization, quantum annealing

10.

Stochastic Skew in Currency Options

Downloads 1,666 ( 10,937)
Citation 106

Stochastic Skew in Currency Options

EFA 2004 Maastricht Meetings Paper No. 1426
Number of pages: 48 Posted: 30 Jun 2004
Liuren Wu and Peter Carr
City University of New York, CUNY Baruch College - Zicklin School of Business and New York University Finance and Risk Engineering
Downloads 1,542 (12,072)
Citation 2

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Currency options, Foreign exchange dynamics; Stochastic skew; Stochastic volatility; Time-changed Levy processes.

Stochastic Skew in Currency Options

NYU Working Paper No. SC-CFE-04-02
Number of pages: 65 Posted: 07 Nov 2008
Peter Carr and Liuren Wu
New York University Finance and Risk Engineering and City University of New York, CUNY Baruch College - Zicklin School of Business
Downloads 124 (247,466)
Citation 10

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11.

FX Options in Target Zone

Quantitative Finance 17(10) (2017) 1477-1486, Featured Article
Number of pages: 25 Posted: 06 Dec 2015 Last Revised: 16 Sep 2017
Peter Carr and Zura Kakushadze
New York University Finance and Risk Engineering and Quantigic Solutions LLC
Downloads 1,407 (14,271)
Citation 3

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FX, options, target zone, attainable boundaries, Brownian motion, volatility, drift, reflecting barriers

12.

Determining Optimal Trading Rules Without Backtesting

Number of pages: 39 Posted: 12 Sep 2015
Peter Carr and Marcos Lopez de Prado
New York University Finance and Risk Engineering and Cornell University - Operations Research & Industrial Engineering
Downloads 1,203 (18,117)
Citation 5

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Trading, optimization, backtesting, overfitting, simulation

13.

Option Profit and Loss Attribution and Pricing: A New Framework

Journal of Finance, Forthcoming
Number of pages: 63 Posted: 25 Mar 2018 Last Revised: 02 Nov 2019
Peter Carr and Liuren Wu
New York University Finance and Risk Engineering and City University of New York, CUNY Baruch College - Zicklin School of Business
Downloads 1,184 (18,551)
Citation 1

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Profit and loss attribution; Local commonality; Risk-return trade-off; Statistical arbitrage; Delta; Vega; Vanna; Volga; Implied volatility term structure; Implied volatility smile

14.

Time-Changed Levy Process and Option Pricing

Number of pages: 35 Posted: 26 Sep 2001
Peter Carr and Liuren Wu
New York University Finance and Risk Engineering and City University of New York, CUNY Baruch College - Zicklin School of Business
Downloads 1,050 (22,186)
Citation 61

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Stochastic time change, Levy processes, subordination, characteristic functions, option pricing, exponential martingales, measure change.

15.

Pricing Options on Realized Variance

EFA 2005 Moscow Meetings Paper
Number of pages: 26 Posted: 11 Mar 2005 Last Revised: 30 Jan 2010
Peter Carr, Hélyette Geman, Dilip B. Madan and Marc Yor
New York University Finance and Risk Engineering, University of London - Economics, Mathematics and Statistics, University of Maryland - Robert H. Smith School of Business and Universite Paris
Downloads 855 (29,864)
Citation 11

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Options on Variance Swaps, Options on Time Changes, Self Decomposability and its Hierarchy

16.

Simple Robust Linkages between CDS and Equity Options

Number of pages: 46 Posted: 25 Mar 2008
Peter Carr and Liuren Wu
New York University Finance and Risk Engineering and City University of New York, CUNY Baruch College - Zicklin School of Business
Downloads 794 (33,106)
Citation 1

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Stock options, American puts, unit recovery claims, credit default swaps, default probabilities

17.

A Simple Robust Link between American Puts and Credit Protection

Bloomberg Portfolio Research Paper No. 2009-07-FRONTIERS
Number of pages: 62 Posted: 25 Nov 2008 Last Revised: 06 Nov 2010
Peter Carr and Liuren Wu
New York University Finance and Risk Engineering and City University of New York, CUNY Baruch College - Zicklin School of Business
Downloads 774 (34,275)
Citation 3

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Stock options, American puts, unit recovery claims, credit default swaps, default probabilities

18.

Stochastic Risk Premiums, Stochastic Skewness in Currency Options, and Stochastic Discount Factors in International Economies

Robert H. Smith School Research Paper No. RHS 06-154
Number of pages: 45 Posted: 09 May 2005 Last Revised: 13 Feb 2011
Peter Carr, Liuren Wu and Gurdip Bakshi
New York University Finance and Risk Engineering, City University of New York, CUNY Baruch College - Zicklin School of Business and Fox School of Business
Downloads 764 (34,858)
Citation 14

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Stochastic discount factors, international economy, stochastic risk premium

19.

Randomization and the American Put

Downloads 693 ( 39,820)
Citation 16

Randomization and the American Put

Number of pages: 38 Posted: 31 Oct 1996
Peter Carr
New York University Finance and Risk Engineering
Downloads 693 (39,241)
Citation 16

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Randomization and the American Put

Review of Financial Studies, Vol. 11, No. 3
Posted: 04 Jun 1998
Peter Carr
New York University Finance and Risk Engineering

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20.

Valuing Finite-Lived Options as Perpetual

Number of pages: 35 Posted: 03 Oct 1996
Dmitri Faguet and Peter Carr
Johnson Wax, Ukraine and New York University Finance and Risk Engineering
Downloads 644 (43,929)
Citation 16

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21.

Hedging Under the Heston Model with Jump-to-Default

Number of pages: 12 Posted: 24 Sep 2007
Peter Carr and Wim Schoutens
New York University Finance and Risk Engineering and KU Leuven - Department of Mathematics
Downloads 586 (49,746)
Citation 2

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hHeston, hedging, variance swaps, CDS, jump to default

22.

From Local Volatility to Local Levy Models

Quantitative Finance, Vol. 4, No. 5, October 2004
Number of pages: 17 Posted: 15 Jan 2007
Peter Carr, Hélyette Geman, Dilip B. Madan and Marc Yor
New York University Finance and Risk Engineering, University of London - Economics, Mathematics and Statistics, University of Maryland - Robert H. Smith School of Business and Universite Paris
Downloads 557 (52,981)
Citation 2

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Hunt Processes, Persistent Skewness, Convolution Transforms

23.

Linearity-Generating Processes, Unspanned Stochastic Volatility, and Interest-Rate Option Pricing

Number of pages: 51 Posted: 19 Mar 2011
Peter Carr, Xavier Gabaix and Liuren Wu
New York University Finance and Risk Engineering, Harvard University - Department of Economics and City University of New York, CUNY Baruch College - Zicklin School of Business
Downloads 539 (55,286)
Citation 10

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24.

A PDE Approach to Jump-Diffusions

Number of pages: 37 Posted: 28 Oct 2010
Peter Carr and Laurent Cousot
New York University Finance and Risk Engineering and BNP Paribas
Downloads 528 (56,723)
Citation 1

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martingale, jump-di ffusion, partial diff erential equation, calibration, option

25.

Theory and Evidence on the Dynamic Interactions between Sovereign Credit Default Swaps and Currency Options

Number of pages: 31 Posted: 20 Jun 2005
Liuren Wu and Peter Carr
City University of New York, CUNY Baruch College - Zicklin School of Business and New York University Finance and Risk Engineering
Downloads 509 (59,383)
Citation 14

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Currency options, sovereign credit default swaps, default arrival rate, return variance dynamics, credit spread term structure modeling, option pricing, time-changed Levy process.

26.

A Simple Robust Test for the Presence of Jumps in Asset Prices

AFA 2002 Atlanta Meetings
Number of pages: 44 Posted: 13 Sep 2001
Peter Carr and Liuren Wu
New York University Finance and Risk Engineering and City University of New York, CUNY Baruch College - Zicklin School of Business
Downloads 487 (62,766)

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27.

Time Changed Markov Processes in Unified Credit-Equity Modeling

FDIC Center for Financial Research Working Paper No. 2008-03
Number of pages: 59 Posted: 28 Mar 2008
Peter Carr, Vadim Linetsky and Rafael Mendoza-Arriaga
New York University Finance and Risk Engineering, Northwestern University - Department of Industrial Engineering and Management Sciences and University of Texas at Austin - Department of Information, Risk and Operations Management
Downloads 424 (74,330)
Citation 1

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28.

Explicit Constructions of Martingales Calibrated to Given Implied Volatility Smiles

Number of pages: 35 Posted: 28 Oct 2010 Last Revised: 05 Jul 2011
Peter Carr and Laurent Cousot
New York University Finance and Risk Engineering and BNP Paribas
Downloads 382 (83,986)
Citation 1

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martingale, marginal distribution, diffusion, jump-diffusion, calibration, option, time change

29.

Local Volatility Enhanced by a Jump to Default

Robert H. Smith School Research Paper No. RHS 06-119
Number of pages: 17 Posted: 28 Jan 2010 Last Revised: 13 May 2010
Peter Carr and Dilip B. Madan
New York University Finance and Risk Engineering and University of Maryland - Robert H. Smith School of Business
Downloads 324 (101,253)
Citation 4

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Hazard Rates, CDS Curves, Weibull Distribution, VGSSD Sato Process

30.

On the Qualitative Effect of Volatility and Duration on Prices of Asian Options

Number of pages: 17 Posted: 24 Jan 2008
Peter Carr, Christian-Oliver Ewald and Yajun Xiao
New York University Finance and Risk Engineering, University of Glasgow and University of Freiburg - Department of Economics
Downloads 315 (104,437)
Citation 2

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Asian options, volatility, vega, duration, qualitative risk-management

31.

Jointly Modeling of VIX and SPX Options at a Single and Common Maturity with Risk Management Applications

Number of pages: 17 Posted: 18 Mar 2013
Peter Carr and Dilip B. Madan
New York University Finance and Risk Engineering and University of Maryland - Robert H. Smith School of Business
Downloads 308 (106,948)
Citation 3

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32.

Options on Realized Variance and Convex Orders

Number of pages: 28 Posted: 28 Jan 2010
Peter Carr, Hélyette Geman, Marc Yor and Dilip B. Madan
New York University Finance and Risk Engineering, University of London - Economics, Mathematics and Statistics, Universite Paris and University of Maryland - Robert H. Smith School of Business
Downloads 302 (109,319)
Citation 2

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reverse martingale, quadratic variation, stochastic volatility

33.

Markets, Profits, Capital, Leverage and Return

Number of pages: 31 Posted: 20 Sep 2010
Peter Carr, Juan Jose Vicente Alvarez and Dilip B. Madan
New York University Finance and Risk Engineering, Morgan Stanley and University of Maryland - Robert H. Smith School of Business
Downloads 271 (122,570)
Citation 26

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Acceptable Risks, Bid and Ask Prices, Variance Gamma Model, Variance Swaps

34.

Derivatives Pricing Under Bilateral Counterparty Risk

Number of pages: 28 Posted: 03 Apr 2015 Last Revised: 12 Apr 2015
Peter Carr and Samim Ghamami
New York University Finance and Risk Engineering and
Downloads 245 (136,004)
Citation 1

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Reduced-Form Modeling, Counterparty Risk, Wrong Way Risk, Credit Value Adjustment, Basel III

35.

Spectral Methods and Pricing Options on Private Equity

Number of pages: 21 Posted: 02 May 2015
Peter Carr and Pratik Worah
New York University Finance and Risk Engineering and New York University (NYU) - Courant Institute of Mathematical Sciences
Downloads 219 (151,706)

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36.

Hedging Insurance Books

Robert H. Smith School Research Paper No. RHS 2635602
Number of pages: 23 Posted: 26 Jul 2015
Dilip B. Madan, Peter Carr, Wim Schoutens and Michael Melamed
University of Maryland - Robert H. Smith School of Business, New York University Finance and Risk Engineering, KU Leuven - Department of Mathematics and Independent
Downloads 133 (233,783)

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Acceptable Risks, Probability Distortions, Variance Gamma Model

37.

Optimal Rates from Eigenvalues

NYU Tandon Research Paper No. 2600683
Number of pages: 11 Posted: 02 May 2015
Peter Carr and Pratik Worah
New York University Finance and Risk Engineering and New York University (NYU) - Courant Institute of Mathematical Sciences
Downloads 124 (246,498)

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38.

Decomposing Long Bond Returns: A Decentralized Modeling Approach

Baruch College Zicklin School of Business Research Paper No. 2019-08-06
Number of pages: 73 Posted: 05 Aug 2019 Last Revised: 29 Aug 2019
Peter Carr and Liuren Wu
New York University Finance and Risk Engineering and City University of New York, CUNY Baruch College - Zicklin School of Business
Downloads 103 (281,570)

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bond returns, profit and loss attribution, yield decomposition, expectation, risk premium, convexity effects, butterfly trades

39.

Derivatives Pricing Under Bilateral Counterparty Risk

Downloads 1 (345,461)
Citation 4

Derivatives Pricing Under Bilateral Counterparty Risk

Journal of Risk, Forthcoming
Number of pages: 31 Posted: 17 Oct 2017
Peter Carr and Samim Ghamami
New York University Finance and Risk Engineering and
Downloads 1 (737,366)
Citation 1
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Asset Pricing, Reduced-Form Modeling, Counterparty Risk, Wrong-Way Risk (WWR), Credit Value Adjustment (CVA)

40.

Adjusting Exponential Levy Models Towards the Simultaneous Calibration of Market Prices for Crash Cliquets

Number of pages: 23 Posted: 26 Jul 2015
Peter Carr, Ajay Khanna and Dilip B. Madan
New York University Finance and Risk Engineering, New York University (NYU) and University of Maryland - Robert H. Smith School of Business
Downloads 69 (358,974)
Citation 1

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Completely monotone function, Gauss Laguerre quadrature, Gap Risk Pricing

41.

Robust Replication of Barrier-Style Claims on Price and Volatility

Number of pages: 36 Posted: 06 Aug 2015
Peter Carr and Matthew Lorig
New York University Finance and Risk Engineering and University of Washington - Applied Mathematics
Downloads 59 (388,900)

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robust pricing, robust hedging, knock-in, knock-out, rebate, barrier, quadratic variation

42.

Self-Decomposability and Option Pricing

Mathematical Finance, Vol. 17, No. 1, pp. 31-57, January 2007
Number of pages: 27 Posted: 13 Dec 2006
Peter Carr, Hélyette Geman, Dilip B. Madan and Marc Yor
New York University Finance and Risk Engineering, University of London - Economics, Mathematics and Statistics, University of Maryland - Robert H. Smith School of Business and Universite Paris
Downloads 25 (532,713)
Citation 3
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43.

Time-Changed Markov Processes in Unified Credit-Equity Modeling

Mathematical Finance, Vol. 20, Issue 4, pp. 527-569, October 2010
Number of pages: 43 Posted: 27 Sep 2010
Rafael Mendoza-Arriaga, Peter Carr and Vadim Linetsky
University of Texas at Austin - Department of Information, Risk and Operations Management, New York University Finance and Risk Engineering and Northwestern University - Department of Industrial Engineering and Management Sciences
Downloads 3 (680,602)
Citation 3
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44.

Put-Call Symmetry: Extensions and Applications

Mathematical Finance, Vol. 19, Issue 4, pp. 523-560, October 2009
Number of pages: 38 Posted: 21 Oct 2009
Peter Carr and Roger Lee
New York University Finance and Risk Engineering and University of Chicago
Downloads 3 (680,602)
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45.

Multi-Asset Stochastic Local Variance Contracts

Mathematical Finance, Vol. 21, Issue 1, pp. 21-52, 2010
Number of pages: 32 Posted: 30 Dec 2010
Peter Carr and Peter M. Laurence
New York University Finance and Risk Engineering and University of Rome I - Department of Mathematics
Downloads 1 (702,857)
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variance swap, basket option, stochastic volatility

46.

Local Variance Gamma and Explicit Calibration to Option Prices

Mathematical Finance, Vol. 27, Issue 1, pp. 151-193, 2017
Number of pages: 43 Posted: 15 Jan 2017
Peter Carr and Sergey Nadtochiy
New York University Finance and Risk Engineering and University of Michigan at Ann Arbor - Department of Mathematics
Downloads 0 (721,207)
Citation 1
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exact calibration, implied smile, local variance gamma

47.

Adjusting Exponential Lévy Models Toward the Simultaneous Calibration of Market Prices for Crash Cliquets

Journal of Computational Finance, 20(1), 89-111, DOI:10.21314/JCF.2016.309
Number of pages: 24 Posted: 28 Jul 2016
Peter Carr, Ajay Khanna and Dilip B. Madan
New York University Finance and Risk Engineering, New York University (NYU) and University of Maryland - Robert H. Smith School of Business
Downloads 0 (721,207)
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completely monotone function, Gauss Laguerre quadrature, gap risk pricing, beta exposure pricing, CGMY model, negative binomial process

48.

Volatility Derivatives

Annual Review of Financial Economics, Vol. 1, pp. 319-339, 2009
Posted: 04 Jun 2010
Peter Carr and Roger Lee
New York University Finance and Risk Engineering and University of Chicago

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49.

Variance Risk Premiums

The Review of Financial Studies, Vol. 22, Issue 3, pp. 1311-1341, 2009
Posted: 17 Mar 2009
Peter Carr and Liuren Wu
New York University Finance and Risk Engineering and City University of New York, CUNY Baruch College - Zicklin School of Business

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G10, G12, G13

50.

The Finite Moment Log Stable Process and Option Pricing

Journal of Finance, Vol. 58, pp. 753-778, April 2003
Posted: 20 Sep 2003
Liuren Wu and Peter Carr
City University of New York, CUNY Baruch College - Zicklin School of Business and New York University Finance and Risk Engineering

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51.

The Fine Structure of Asset Returns: An Empirical Investigation

Journal of Business, Vol. 75, No. 2, April 2002
Posted: 03 May 2002
Hélyette Geman, Peter Carr, Dilip B. Madan and Marc Yor
University of London - Economics, Mathematics and Statistics, New York University Finance and Risk Engineering, University of Maryland - Robert H. Smith School of Business and Universite Paris

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52.

Optimal Investment in Derivative Securities

Finance and Stochastics, Vol. 5 Issue 1
Posted: 19 Mar 2001
Peter Carr, Xing Jin and Dilip B. Madan
New York University Finance and Risk Engineering, University of Maryland - Robert H. Smith School of Business and University of Maryland - Robert H. Smith School of Business

Abstract:

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Levy process, market completeness, stochastic duality, option pricing, variance gamma model

53.

Static Hedging of Timing Risk

Journal of Derivatives, Spring 1999
Posted: 30 Jun 1999
Jean-Francois Picron and Peter Carr
Summit Systems, Inc. and New York University Finance and Risk Engineering

Abstract:

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54.

Fast Accurate Valuation of American Options

Posted: 20 Dec 1998
Dmitri Faguet and Peter Carr
Johnson Wax, Ukraine and New York University Finance and Risk Engineering

Abstract:

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