Details about Peter P. Carr

This author is deceased (2022-03-01).

Access statistics for papers by Peter P. Carr.

Last updated 2023-03-10. Update your information in the RePEc Author Service.

Short-id: pca1563

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Working Papers

2023

1. Vol, Skew, and Smile Trading
   Publications of Darmstadt Technical University, Institute for Business Studies (BWL), Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL)

2022

2. Robust replication of barrier-style claims on price and volatility
   Papers, arXiv.org View citations (1)
3. Semi-analytical pricing of barrier options in the time-dependent Heston model
   Papers, arXiv.org View citations (4)

2021

4. Robust Replication of Volatility and Hybrid Derivatives on Jump Diffusions
   Papers, arXiv.org
   See also Journal Article Robust replication of volatility and hybrid derivatives on jump diffusions, Mathematical Finance, Wiley Blackwell (2021) (2021)

2020

5. Semi-closed form prices of barrier options in the time-dependent CEV and CIR models
   Papers, arXiv.org View citations (10)
6. Semi-closed form solutions for barrier and American options written on a time-dependent Ornstein Uhlenbeck process
   Papers, arXiv.org View citations (5)

2019

7. A lognormal type stochastic volatility model with quadratic drift
   Papers, arXiv.org View citations (6)
8. A model-free backward and forward nonlinear PDEs for implied volatility
   Papers, arXiv.org
9. ADOL - Markovian approximation of rough lognormal model
   Papers, arXiv.org View citations (4)
10. Pricing Variance Swaps on Time-Changed Markov Processes
    Papers, arXiv.org
11. Using Machine Learning to Predict Realized Variance
    Papers, arXiv.org View citations (5)

2018

12. An Expanded Local Variance Gamma model
    Papers, arXiv.org View citations (2)
    See also Journal Article An Expanded Local Variance Gamma Model, Computational Economics, Springer (2021) (2021)
13. Generalizing Geometric Brownian Motion
    Papers, arXiv.org
14. Geometric Local Variance Gamma model
    Papers, arXiv.org

2016

15. FX Options in Target Zone
    Papers, arXiv.org View citations (1)
    See also Journal Article FX options in target zones, Quantitative Finance, Taylor & Francis Journals (2017) View citations (7) (2017)
16. Solving the Optimal Trading Trajectory Problem Using a Quantum Annealer
    Papers, arXiv.org View citations (9)

2014

17. Determining Optimal Trading Rules without Backtesting
    Papers, arXiv.org View citations (2)
18. Local Variance Gamma and Explicit Calibration to Option Prices
    Papers, arXiv.org View citations (7)
    See also Journal Article LOCAL VARIANCE GAMMA AND EXPLICIT CALIBRATION TO OPTION PRICES, Mathematical Finance, Wiley Blackwell (2017) View citations (7) (2017)

2013

19. On the Hedging of Options On Exploding Exchange Rates
    Papers, arXiv.org View citations (9)
    See also Journal Article On the hedging of options on exploding exchange rates, Finance and Stochastics, Springer (2014) View citations (30) (2014)
20. Why are quadratic normal volatility models analytically tractable?
    Papers, arXiv.org View citations (17)

2010

21. Using pseudo-parabolic and fractional equations for option pricing in jump diffusion models
    Papers, arXiv.org View citations (3)
    See also Journal Article Using Pseudo-Parabolic and Fractional Equations for Option Pricing in Jump Diffusion Models, Computational Economics, Springer (2012) View citations (11) (2012)

2004

22. Static Hedging of Standard Options
    Finance, University Library of Munich, Germany View citations (9)
    See also Journal Article Static Hedging of Standard Options, Journal of Financial Econometrics, Oxford University Press (2014) View citations (19) (2014)
23. Stochastic Skew in Currency Options
    Finance, University Library of Munich, Germany View citations (6)
    See also Journal Article Stochastic skew in currency options, Journal of Financial Economics, Elsevier (2007) View citations (147) (2007)
24. Variance Risk Premia
    Finance, University Library of Munich, Germany View citations (21)

2003

25. Bessel processes, the integral of geometric Brownian motion, and Asian options
    Papers, arXiv.org View citations (12)
26. Stochastic Volatility for Levy Processes
    Post-Print, HAL View citations (114)
    See also Journal Article Stochastic Volatility for Lévy Processes, Mathematical Finance, Wiley Blackwell (2003) View citations (135) (2003)

2002

27. The Finite Moment Log Stable Process and Option Pricing
    Finance, University Library of Munich, Germany View citations (6)
    See also Journal Article The Finite Moment Log Stable Process and Option Pricing, Journal of Finance, American Finance Association (2003) View citations (185) (2003)
28. Time-Changed Levy Processes and Option Pricing
    Finance, University Library of Munich, Germany View citations (12)
    See also Journal Article Time-changed Levy processes and option pricing, Journal of Financial Economics, Elsevier (2004) View citations (224) (2004)
29. What Type of Process Underlies Options? A Simple Robust Test
    Finance, University Library of Munich, Germany View citations (5)
    See also Journal Article What Type of Process Underlies Options? A Simple Robust Test, Journal of Finance, American Finance Association (2003) View citations (124) (2003)

2001

30. On the valuation of arithmetic-average Asian options: the Geman-Yor Laplace transform revisited
    Papers, arXiv.org View citations (3)

1998

31. Pollution Reduction, Environmental Uncertainty, and the Irreversibility Effect
    Cahiers de recherche, Université Laval - Département d'économique View citations (1)

1996

32. Randomization and the American Put
    Finance, University Library of Munich, Germany View citations (1)
    See also Journal Article Randomization and the American Put, The Review of Financial Studies, Society for Financial Studies (1998) View citations (136) (1998)
33. Valuing Finite-Lived Options as Perpetual
    Finance, University Library of Munich, Germany View citations (10)

Journal Articles

2024

1. Convex duality in continuous option pricing models
   Annals of Operations Research, 2024, 336, (1), 1013-1037

2023

2. Decomposing Long Bond Returns: A Decentralized Theory*
   Review of Finance, 2023, 27, (3), 997-1026

2022

3. Static replication of European standard dispersion options
   Quantitative Finance, 2022, 22, (5), 799-811 View citations (3)

2021

4. A functional analysis approach to the static replication of European options
   Quantitative Finance, 2021, 21, (4), 637-655 View citations (7)
5. Additive logistic processes in option pricing
   Finance and Stochastics, 2021, 25, (4), 689-724 View citations (7)
6. An Expanded Local Variance Gamma Model
   Computational Economics, 2021, 57, (4), 949-987
   See also Working Paper An Expanded Local Variance Gamma model, Papers (2018) View citations (2) (2018)
7. Robust replication of volatility and hybrid derivatives on jump diffusions
   Mathematical Finance, 2021, 31, (4), 1394-1422
   See also Working Paper Robust Replication of Volatility and Hybrid Derivatives on Jump Diffusions, Papers (2021) (2021)
8. Semi-Robust Replication of Barrier-Style Claims on Price and Volatility
   Applied Mathematical Finance, 2021, 28, (6), 534-559

2020

9. Option Profit and Loss Attribution and Pricing: A New Framework
   Journal of Finance, 2020, 75, (4), 2271-2316 View citations (11)
10. Spiking the Volatility Punch
    Applied Mathematical Finance, 2020, 27, (6), 495-520 View citations (1)

2018

11. Seabirds enhance coral reef productivity and functioning in the absence of invasive rats
    Nature, 2018, 559, (7713), 250-253 View citations (3)

2017

12. Bounded Brownian Motion
    Risks, 2017, 5, (4), 1-11 View citations (10)
13. FX options in target zones
    Quantitative Finance, 2017, 17, (10), 1477-1486 View citations (7)
    See also Working Paper FX Options in Target Zone, Papers (2016) View citations (1) (2016)
14. LOCAL VARIANCE GAMMA AND EXPLICIT CALIBRATION TO OPTION PRICES
    Mathematical Finance, 2017, 27, (1), 151-193 View citations (7)
    See also Working Paper Local Variance Gamma and Explicit Calibration to Option Prices, Papers (2014) View citations (7) (2014)
15. Leverage Effect, Volatility Feedback, and Self-Exciting Market Disruptions
    Journal of Financial and Quantitative Analysis, 2017, 52, (5), 2119-2156 View citations (34)

2016

16. Analyzing volatility risk and risk premium in option contracts: A new theory
    Journal of Financial Economics, 2016, 120, (1), 1-20 View citations (32)
17. Hedging insurance books
    Insurance: Mathematics and Economics, 2016, 70, (C), 364-372 View citations (1)
18. Optimal rates from eigenvalues
    Finance Research Letters, 2016, 16, (C), 230-238

2014

19. First-order calculus and option pricing
    Journal of Financial Engineering (JFE), 2014, 01, (01), 1-19 View citations (4)
20. Joint modeling of VIX and SPX options at a single and common maturity with risk management applications
    IISE Transactions, 2014, 46, (11), 1125-1131 View citations (13)
21. On the hedging of options on exploding exchange rates
    Finance and Stochastics, 2014, 18, (1), 115-144 View citations (30)
    See also Working Paper On the Hedging of Options On Exploding Exchange Rates, Papers (2013) View citations (9) (2013)
22. Static Hedging of Standard Options
    Journal of Financial Econometrics, 2014, 12, (1), 3-46 View citations (19)
    Also in Journal of Financial Econometrics, 2013, 12, (1), 3-46 (2013) View citations (11)
    See also Working Paper Static Hedging of Standard Options, Finance (2004) View citations (9) (2004)

2013

23. Variation and share-weighted variation swaps on time-changed Lévy processes
    Finance and Stochastics, 2013, 17, (4), 685-716 View citations (3)

2012

24. Factor Models for Option Pricing
    Asia-Pacific Financial Markets, 2012, 19, (4), 319-329 View citations (2)
25. Using Pseudo-Parabolic and Fractional Equations for Option Pricing in Jump Diffusion Models
    Computational Economics, 2012, 40, (1), 63-104 View citations (11)
    See also Working Paper Using pseudo-parabolic and fractional equations for option pricing in jump diffusion models, Papers (2010) View citations (3) (2010)
26. Variance swaps on time-changed Lévy processes
    Finance and Stochastics, 2012, 16, (2), 335-355 View citations (25)

2011

27. A PDE approach to jump-diffusions
    Quantitative Finance, 2011, 11, (1), 33-52
28. A Simple Robust Link Between American Puts and Credit Protection
    The Review of Financial Studies, 2011, 24, (2), 473-505 View citations (36)
29. MAXIMUM DRAWDOWN INSURANCE
    International Journal of Theoretical and Applied Finance (IJTAF), 2011, 14, (08), 1195-1230 View citations (26)
30. Options on realized variance and convex orders
    Quantitative Finance, 2011, 11, (11), 1685-1694 View citations (1)
31. SEMI-STATIC HEDGING OF BARRIER OPTIONS UNDER POISSON JUMPS
    International Journal of Theoretical and Applied Finance (IJTAF), 2011, 14, (07), 1091-1111 View citations (4)

2010

32. A class of Levy process models with almost exact calibration to both barrier and vanilla FX options
    Quantitative Finance, 2010, 10, (10), 1115-1136 View citations (19)
33. Hedging variance options on continuous semimartingales
    Finance and Stochastics, 2010, 14, (2), 179-207 View citations (38)
34. Pricing swaps and options on quadratic variation under stochastic time change models—discrete observations case
    Review of Derivatives Research, 2010, 13, (2), 141-176 View citations (32)
35. Stock Options and Credit Default Swaps: A Joint Framework for Valuation and Estimation
    Journal of Financial Econometrics, 2010, 8, (4), 409-449 View citations (55)

2009

36. Variance Risk Premiums
    The Review of Financial Studies, 2009, 22, (3), 1311-1341 View citations (421)
    Also in The Review of Financial Studies, 2009, 22, (3), 1311-1341 (2009) View citations (432)
37. Volatility Derivatives
    Annual Review of Financial Economics, 2009, 1, (1), 319-339 View citations (75)

2008

38. HEDGING UNDER THE HESTON MODEL WITH JUMP-TO-DEFAULT
    International Journal of Theoretical and Applied Finance (IJTAF), 2008, 11, (04), 403-414 View citations (4)
39. On the qualitative effect of volatility and duration on prices of Asian options
    Finance Research Letters, 2008, 5, (3), 162-171 View citations (12)
40. Stochastic risk premiums, stochastic skewness in currency options, and stochastic discount factors in international economies
    Journal of Financial Economics, 2008, 87, (1), 132-156 View citations (77)

2007

41. A new approach for option pricing under stochastic volatility
    Review of Derivatives Research, 2007, 10, (2), 87-150 View citations (84)
42. On the Numerical Evaluation of Option Prices in Jump Diffusion Processes
    The European Journal of Finance, 2007, 13, (4), 353-372 View citations (10)
43. SELF‐DECOMPOSABILITY AND OPTION PRICING
    Mathematical Finance, 2007, 17, (1), 31-57 View citations (25)
44. Stochastic skew in currency options
    Journal of Financial Economics, 2007, 86, (1), 213-247 View citations (147)
    See also Working Paper Stochastic Skew in Currency Options, Finance (2004) View citations (6) (2004)
45. Theory and evidence on the dynamic interactions between sovereign credit default swaps and currency options
    Journal of Banking & Finance, 2007, 31, (8), 2383-2403 View citations (48)

2006

46. A jump to default extended CEV model: an application of Bessel processes
    Finance and Stochastics, 2006, 10, (3), 303-330 View citations (93)

2005

47. A note on sufficient conditions for no arbitrage
    Finance Research Letters, 2005, 2, (3), 125-130 View citations (69)
48. Pricing options on realized variance
    Finance and Stochastics, 2005, 9, (4), 453-475 View citations (47)
49. THE FORWARD PDE FOR EUROPEAN OPTIONS ON STOCKS WITH FIXED FRACTIONAL JUMPS
    International Journal of Theoretical and Applied Finance (IJTAF), 2005, 08, (02), 239-253 View citations (2)

2004

50. From local volatility to local Levy models
    Quantitative Finance, 2004, 4, (5), 581-588 View citations (32)
51. Time-changed Levy processes and option pricing
    Journal of Financial Economics, 2004, 71, (1), 113-141 View citations (224)
    See also Working Paper Time-Changed Levy Processes and Option Pricing, Finance (2002) View citations (12) (2002)

2003

52. Stochastic Volatility for Lévy Processes
    Mathematical Finance, 2003, 13, (3), 345-382 View citations (135)
    See also Working Paper Stochastic Volatility for Levy Processes, Post-Print (2003) View citations (114) (2003)
53. The Finite Moment Log Stable Process and Option Pricing
    Journal of Finance, 2003, 58, (2), 753-777 View citations (185)
    See also Working Paper The Finite Moment Log Stable Process and Option Pricing, Finance (2002) View citations (6) (2002)
54. What Type of Process Underlies Options? A Simple Robust Test
    Journal of Finance, 2003, 58, (6), 2581-2610 View citations (124)
    See also Working Paper What Type of Process Underlies Options? A Simple Robust Test, Finance (2002) View citations (5) (2002)

2002

55. The Fine Structure of Asset Returns: An Empirical Investigation
    The Journal of Business, 2002, 75, (2), 305-332 View citations (498)

2001

56. Optimal investment in derivative securities
    Finance and Stochastics, 2001, 5, (1), 33-59 View citations (13)
57. Optimal positioning in derivative securities
    Quantitative Finance, 2001, 1, (1), 19-37 View citations (133)
58. Pricing and hedging in incomplete markets
    Journal of Financial Economics, 2001, 62, (1), 131-167 View citations (45)

2000

59. The Valuation of Executive Stock Options in an Intensity-Based Framework
    Review of Finance, 2000, 4, (3), 211-230 View citations (39)

1998

60. Randomization and the American Put
    The Review of Financial Studies, 1998, 11, (3), 597-626 View citations (136)
    See also Working Paper Randomization and the American Put, Finance (1996) View citations (1) (1996)
61. The Variance Gamma Process and Option Pricing
    Review of Finance, 1998, 2, (1), 79-105 View citations (515)

1995

62. Two extensions to barrier option valuation
    Applied Mathematical Finance, 1995, 2, (3), 173-209 View citations (26)

1992

63. ALTERNATIVE CHARACTERIZATIONS OF AMERICAN PUT OPTIONS
    Mathematical Finance, 1992, 2, (2), 87-106 View citations (152)
    See also Chapter ALTERNATIVE CHARACTERIZATIONS OF AMERICAN PUT OPTIONS, World Scientific Book Chapters, 2008, 85-103 (2008) View citations (1) (2008)

1990

64. The Stop-Loss Start-Gain Paradox and Option Valuation: A New Decomposition into Intrinsic and Time Value
    The Review of Financial Studies, 1990, 3, (3), 469-92 View citations (25)
    See also Chapter The Stop-Loss Start-Gain Paradox and Option Valuation: A new Decomposition into Intrinsic and Time Value, World Scientific Book Chapters, 2008, 61-84 (2008) (2008)

1987

65. A Note on the Pricing of Commodity-Linked Bonds
    Journal of Finance, 1987, 42, (4), 1071-76 View citations (9)

Undated

66. Adjusting exponential Lévy models toward the simultaneous calibration of market prices for crash cliquets
    Journal of Computational Finance
67. Derivatives pricing under bilateral counterparty risk
    Journal of Risk
68. Deriving derivatives of derivative securities
    Journal of Computational Finance
69. Markets, profits, capital, leverage and return
    Journal of Risk
70. Option valuation using the fast Fourier transform
    Journal of Computational Finance
71. Saddlepoint methods for option pricing
    Journal of Computational Finance

Chapters

2023

1. Option Pricing Generators
   Chapter 6 in Peter Carr Gedenkschrift Research Advances in Mathematical Finance, 2023, pp 179-209
2. Probabilistic Interpretation of Black Implied Volatility
   Chapter 3 in Options — 45 years since the Publication of the Black–Scholes–Merton Model The Gershon Fintech Center Conference, 2023, pp 29-46

2008

3. ALTERNATIVE CHARACTERIZATIONS OF AMERICAN PUT OPTIONS
   Chapter 5 in Financial Derivatives Pricing Selected Works of Robert Jarrow, 2008, pp 85-103 View citations (1)
   See also Journal Article ALTERNATIVE CHARACTERIZATIONS OF AMERICAN PUT OPTIONS, Wiley Blackwell (1992) View citations (152) (1992)
4. The Stop-Loss Start-Gain Paradox and Option Valuation: A new Decomposition into Intrinsic and Time Value
   Chapter 4 in Financial Derivatives Pricing Selected Works of Robert Jarrow, 2008, pp 61-84
   See also Journal Article The Stop-Loss Start-Gain Paradox and Option Valuation: A New Decomposition into Intrinsic and Time Value, Society for Financial Studies (1990) View citations (25) (1990)

2002

5. AN ALTERNATIVE APPROACH FOR VALUING CONTINUOUS CASH FLOWS
   Chapter 5 in Quantitative Analysis In Financial Markets Collected Papers of the New York University Mathematical Finance Seminar(Volume III), 2002, pp 110-130

2001

6. DETERMINING VOLATILITY SURFACES AND OPTION VALUES FROM AN IMPLIED VOLATILITY SMILE
   Chapter 6 in Quantitative Analysis In Financial Markets Collected Papers of the New York University Mathematical Finance Seminar(Volume II), 2001, pp 163-191 View citations (1)
7. SIMULATING BERMUDAN INTEREST RATE DERIVATIVES
   Chapter 11 in Quantitative Analysis In Financial Markets Collected Papers of the New York University Mathematical Finance Seminar(Volume II), 2001, pp 295-316 View citations (2)

1999

8. STATIC HEDGING OF EXOTIC OPTIONS
   Chapter 5 in Quantitative Analysis In Financial Markets Collected Papers of the New York University Mathematical Finance Seminar, 1999, pp 152-176 View citations (2)