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Gregory Pelts

Scotia Bank

Director

Word Financial Center

New York City, NY 10278

United States

SCHOLARLY PAPERS

12

DOWNLOADS

2,461

TOTAL CITATIONS

2

Scholarly Papers (12)

1.

Game of Vols

Number of pages: 43 Posted: 22 Oct 2019
Peter Carr and Gregory Pelts
New York University (NYU) - Finance and Risk Engineering Department and Scotia Bank
Downloads 660 (101,462)

Abstract:

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volatility, surface, arbitrage-free, options

2.

Arbitrage-Free interpolation if Implied Volatility Surface

Number of pages: 11 Posted: 06 Dec 2022
Gregory Pelts
Scotia Bank
Downloads 564 (124,422)

Abstract:

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local volatility, implied volatility, arbitrage

3.

Unspanned Volatility in Non-Affine Short Rate Models and Conformal Symmetry

Number of pages: 50 Posted: 05 Feb 2016 Last Revised: 17 Mar 2016
Gregory Pelts
Scotia Bank
Downloads 206 (369,861)

Abstract:

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bermudan swaptions, spread options, interest rate derivatives, libor market model, short rate models, pricing securities, quantitative finance, term structure models, financial mathematics, swaption, caps, floors, vol cube, vol bonds, conformal symmetries, measure theory, unspanned volatility

4.

Local Vol Model With PDE

Number of pages: 10 Posted: 30 Nov 2023
Gregory Pelts
Scotia Bank
Downloads 160 (472,207)

Abstract:

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local volatility, PDE solver, Kolmogorov equation, Crank-Nicolson, implicit scheme

5.

Quantum Pricing (Presentation Slides)

Number of pages: 42 Posted: 08 Oct 2018
Gregory Pelts
Scotia Bank
Downloads 155 (482,968)

Abstract:

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Appel Symmetry, Classical Mechanics, Black-Scholes, Group Cohomology, Central Extension, Hamiltonian Mechanics, Virasoro Algebra, Group Representation, Quantum Field Thory

6.

Roughly Rough: Tractable Markov Processes Emulating Rough Volatility

Number of pages: 34 Posted: 15 Apr 2024
Gregory Pelts
Scotia Bank
Downloads 131 (558,171)

Abstract:

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rough volatility, fractional Brownian motion, stopping time, jump-diffusion

7.

Unspanned Stochastic Volatility & Conformal Symmetry (Presentation Slides)

Presentation at Global Derivatives 2016
Number of pages: 19 Posted: 31 May 2016
Gregory Pelts
Scotia Bank
Downloads 131 (554,631)
Citation 1

Abstract:

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bermudan swaptions, spread options, interest rate derivatives, libor market model, short rate models, pricing securities, quantitative finance, term structure models, financial mathematics, swaption, caps, floors, vol cube, vol bonds, conformal symmetries, measure theory, unspanned volatility

8.

Unspanned Stochastic Volatility, Conformal Symmetries, and Stochastic Time

Number of pages: 21 Posted: 19 Jul 2017 Last Revised: 19 Sep 2017
Gregory Pelts
Scotia Bank
Downloads 126 (576,708)

Abstract:

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interest rate derivatives, market models, jump diffusion, conformal symmetry, uspanned

9.

Symmetric Approach to Martingale Construction (Presentation Slides)

Number of pages: 41 Posted: 13 Dec 2022
Peter Carr and Gregory Pelts
affiliation not provided to SSRN and Scotia Bank
Downloads 102 (694,528)

Abstract:

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volatility, Carr-Pelts, Radon-Nikodim, jump-diffusion

10.

No El Dorado Principle (Presentation Slides)

Number of pages: 8 Posted: 07 Sep 2015
Gregory Pelts
Scotia Bank
Downloads 89 (747,755)

Abstract:

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arbitrage, stochastic volatility, stochastic rates, Dybvig-Ingersoll-Ross Theorem

11.
Downloads 82 (790,029)

Abstract:

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rough volatility, fractional Brownian motion, stopping time, jump-diffusion

12.

Unspanned Stochastic Covariations & Projective Geometry (Presentation Slides)

Number of pages: 37 Posted: 08 Oct 2018
Gregory Pelts
Scotia Bank
Downloads 55 (1,010,164)
Citation 1

Abstract:

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Interest Rate Derivatives, Market Models, Jump Diffusion, Conformal Symmetry, Uspanned Stochastic Volatility, Division Algebras, Exceptional Groups, Quaternions, Octonions, Projective Geometry