Mathematical and Computational Finance Members

Affiliate Researchers

Dr Vicky Henderson
Research Interests: 

I am a Senior Research Fellow at the Oxford-Man Institute for Quantitative Finance, a member of the Mathematical and Computational Finance Group and Oriel College. I hold a PhD in Mathematics from the University of Bath, and following this, held postdoctoral positions at ETH Zurich, University of Warwick, and a Nomura Research Fellowship at Oxford. I spent three years as an Assistant Professor at Princeton University and two years as a Reader at University of Warwick before returning to Oxford in September 2008.

My research interests include optimal stopping and optimal control problems, with applications to real options, executive stock options, and recently, behavioural finance. I have worked for several years on utility indifference pricing, in particular, approximate prices via expansions under CRRA, and more recently, horizon-unbiased utilities and associated optimal stopping problems. My earlier research interests include stochastic volatility models, and exotic options, particularly passport options and asian options.

For further details please see my website at the Oxford-Man Institute.

Further Details: 

Dr Gechun Liang
Research Interests: 

I am a Postdoctoral Research Fellow at the Oxford-Man Institute of Quantitative Finance, starting from Michaelmas Term 2010. Prior to that, I was a student member of the Oxford-Man Institute, whilst completing my D.Phil. (Ph.D.) in Mathematics at the Mathematical Institute under the supervision of Professor Terry Lyons and Dr Zhongmin Qian.

My research interests are mainly focused on mathematical finance and stochastic analysis. I am especially interested in backward stochastic differential equations (BSDEs), rough path theory, optimal investment and credit risk modeling and management.

Major/Recent Publications: 
  • A multi-period bank-run model for liquidity risk (with Eva Lütkebohmert and Yajun Xiao), Review of Finance, accepted.
  • The backward stochastic dynamics on a filtered probability space (with Terry Lyons and Zhongmin Qian), Annals of Probability, Vol.39, No.4, (2011), 1422-1448.
  • A modified structural model for credit risk (with Lishang Jiang), IMA Journal of Management Mathematics, Vol.23, No.2, (2012), 147-170.
  • The valuation of the basket CDSs in a primary-subsidiary model (with Jianwei Lin, Sen Wu and Harry Zheng), Asia-Pacific Journal of Operational Research, Vol.28, No.2, (2011), 213-238.
  • The credit risk and pricing of OTC options (with Xuemin Ren), Asia-Pacific Financial Markets, Vol.14, No.1, (2007), 45-68.

Working Papers:

  • A continuous time structural model for insolvency, recovery and rollover risks (with Eva Lütkebohmert and Wei Wei), arXiv:1209.3513v1.
  • Fully coupled forward-backward stochastic dynamics and functional differential systems (with Matteo Casserini), arXiv:1112.4978v1.
  • A multidimensional exponential utility indifference pricing model with applications to counterparty risk (with Vicky Henderson), arXiv:1111.3856v1.
  • A functional approach to FBSDEs and its application in optimal portfolios (with Terry Lyons and Zhongmin Qian), arXiv:1011.4499v1.
  • Pseudo linear pricing rule for utility indifference valuation (with Vicky Henderson), Revised and resubmitted.

Teaching: 

Tutor and Teaching Assistant for the following courses: Stochastic Differential Equations, Applied Partial Differential Equations, Mathematical Models of Financial Derivatives, Financial Derivatives, etc.