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Vladimir Lucic

Imperial College London

South Kensington Campus

Exhibition Road

London, Greater London SW7 2AZ

United Kingdom

SCHOLARLY PAPERS

23

DOWNLOADS
Rank 6,984

SSRN RANKINGS

Top 6,984

in Total Papers Downloads

15,093

TOTAL CITATIONS

16

Scholarly Papers (23)

1.

Optimal Option Market Making and Volatility Arbitrage

Number of pages: 28 Posted: 08 Mar 2024 Last Revised: 25 Nov 2024
Vladimir Lucic and Alex S. L. Tse
Imperial College London and University College London
Downloads 3,043 (10,383)

Abstract:

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Market making, algorithmic trading, options, volatility arbitrage, Hamilton–Jacobi–Bellman equation

2.

Valuation and hedging of cryptocurrency inverse options

Citation: Lucic, V. and Sepp, A. Valuation and Hedging of Cryptocurrency Inverse Options. (2024). Quantitative Finance, 24(7), 851-869
Number of pages: 26 Posted: 18 Nov 2023 Last Revised: 05 Feb 2026
Artur Sepp and Vladimir Lucic
LGT Bank (Schweiz) AG and Imperial College London
Downloads 2,638 (13,058)
Citation 2

Abstract:

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Inverse options, Perpetual Futures, Deribit exchange, Change of numéraire, Cryptocurrencies JEL Classifications: C02, G12, G23

3.

Boundary Conditions for Computing Densities in Hybrid Models via PDE Methods

Number of pages: 9 Posted: 05 Aug 2008
Vladimir Lucic
Imperial College London
Downloads 1,549 (29,952)
Citation 6

Abstract:

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Fokker-Planck, boundary conditions, reflecting boundary, stochastic volatility

4.

A General Moment Formula

Published in Finance and Stochastics
Number of pages: 19 Posted: 02 Jan 2023 Last Revised: 27 Aug 2025
Vladimir Lucic
Imperial College London
Downloads 1,145 (46,752)

Abstract:

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implied volatility, Lee moment formula, normalizing volatility transforms

5.

A Note On The Carr-Madan Formula

Number of pages: 2 Posted: 15 May 2025 Last Revised: 08 Nov 2025
Vladimir Lucic
Imperial College London
Downloads 1,132 (47,502)

Abstract:

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6.

Volatility Notes

Number of pages: 22 Posted: 02 Aug 2018 Last Revised: 28 May 2026
Vladimir Lucic
Imperial College London
Downloads 837 (72,701)

Abstract:

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Implied Volatility, Variance Swap

7.

Unified Approach for Hedging Impermanent Loss of Liquidity Provision

To appear in Digital Finance
Number of pages: 37 Posted: 02 Aug 2024 Last Revised: 13 Jun 2025
Alex Lipton, Vladimir Lucic and Artur Sepp
Hebrew University of Jerusalem, Imperial College London and LGT Bank (Schweiz) AG
Downloads 761 (82,327)

Abstract:

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Automated Market Making, Liquidity Provision, Decentralized Finance, Uniswap, Cryptocurrencies, Impermanent Loss JEL Classifications: C02

8.

Normalizing Volatility Transforms and Parameterization of Volatility Smile

Number of pages: 14 Posted: 28 Apr 2021 Last Revised: 18 Oct 2022
Vladimir Lucic
Imperial College London
Downloads 612 (110,789)

Abstract:

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implied volatility, no arbitrage bounds

9.

On Singularities in the Heston Model

Appeared in the book  "Large Deviations and Asymptotic Methods in Finance", Springer 2015
Number of pages: 11 Posted: 25 Nov 2007 Last Revised: 01 Jul 2025
Vladimir Lucic
Imperial College London
Downloads 495 (142,638)
Citation 5

Abstract:

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stochastic volatility, Heston model

10.

Exercises in Stochastic Analysis

Number of pages: 56 Posted: 29 May 2020 Last Revised: 09 Jun 2026
Vladimir Lucic
Imperial College London
Downloads 328 (230,418)

Abstract:

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11.

The Real Positive Definite Matrix Completion Problem: An Optimization Viewpoint

Number of pages: 11 Posted: 01 Jan 2014 Last Revised: 27 Apr 2017
Vladimir Lucic
Imperial College London
Downloads 312 (241,719)
Citation 1

Abstract:

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positive (semi) definite matrix, matrix completion

12.

Volatility Interpolation and Yosida Approximation

Number of pages: 4 Posted: 05 Feb 2012
Vladimir Lucic
Imperial College London
Downloads 299 (253,981)

Abstract:

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13.

Non-Parametric Local Volatility Swaption Formula Revisited

Number of pages: 4 Posted: 22 Jul 2016
Vladimir Lucic
Imperial College London
Downloads 284 (269,245)

Abstract:

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14.

Analysis of  FX volatility strangles via normalizing volatility transforms

Number of pages: 13 Last Revised: 28 May 2026
Vladimir Lucic, Parviz Rakhmonov and David Belay
Imperial College London, Marex and MathFinance AG
Downloads 281

Abstract:

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15.

LIBOR Prompts Quantile Leap: Machine Learning for Quantile Derivatives

Number of pages: 5 Posted: 12 Jul 2021
Riskfuel Analytics, Riskfuel, Imperial College London and Riskfuel Analytics
Downloads 268 (283,835)

Abstract:

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Machine Learning, Deep Learning, Libor, Libor reform, Median, Quantile, Percentile, RFR, OIS, Risk-Free Rates, Sonia, Fallback, Brownian motion with drift, Fallback Spread, Libor Adjustment Spread

16.

Separating Sets and Conditional Expectation

Number of pages: 5 Posted: 11 Sep 2010
Vladimir Lucic
Imperial College London
Downloads 218 (349,796)

Abstract:

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conditional expectation

17.

Karamata Method and the Maximum of Sums of Independent Random Variables

Number of pages: 16 Posted: 02 Nov 2015 Last Revised: 17 Apr 2016
Vladimir Lucic and Yacine Dolivet
Imperial College London and Citadel Securities
Downloads 205 (371,583)

Abstract:

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probability, mathematical probability

18.

BTC Inverse Call and the Standard FX Framework

Number of pages: 2 Posted: 02 Jun 2022
Vladimir Lucic
Imperial College London
Downloads 204 (373,348)
Citation 2

Abstract:

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Bitcoin options, martingale measure

19.

Another Look at the Log Contract

Number of pages: 5 Posted: 26 Oct 2021 Last Revised: 25 Oct 2024
Vladimir Lucic
Imperial College London
Downloads 196 (389,821)

Abstract:

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Log Contract, Moment Formula

20.

A Variation on the Theme of Carr-Pelts

Number of pages: 5 Posted: 23 May 2022 Last Revised: 19 Mar 2026
Vladimir Lucic
Imperial College London
Downloads 165 (454,356)

Abstract:

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implied volatility, options pricing

21.

A (More) Direct Link between Mills' Ratio and Hermite Polynomials

Number of pages: 3 Posted: 08 Feb 2023 Last Revised: 13 Apr 2023
Vladimir Lucic
Imperial College London
Downloads 98 (704,534)

Abstract:

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Mills ratio, Hermite polynomials, Laplace transform

22.

A NOTE ON THE CHRISS-MOROKOFF FORMULA

Number of pages: 3 Posted: 20 Apr 2026 Last Revised: 29 May 2026
Vladimir Lucic
Imperial College London
Downloads 18 (1,500,778)

Abstract:

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variance swap, log contract, normalizing volatility transforms

23.

Itô-Wentzell Formula and Dupire Stochastic PDE

Number of pages: 5
Vladimir Lucic
Imperial College London
Downloads 5

Abstract:

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