Email: h.zheng@imperial.ac.uk

Mail: Department of Mathematics,
Imperial College, London
SW7 2BZ, UK

Tel: +44(0) 20 7594 8539

Fax: +44(0) 20 7594 1191

Selected refereed papers:

- J.W. Gu, M. Steffensen, H. Zheng, Optimal Dividend Strategies of Two Collaborating Businesses
in the Diffusion Approximation Model,
*Mathematics of Operations Research*, to appear. (ssrn)

- K.C. Wong, S.C.P. Yam, H. Zheng (2017), Utility-Deviation-Risk Portfolio Selection,
*SIAM J Control Optimization*55, 1819-1861. (pdf)

- J.T. Ma, W.Y. Li, H. Zheng (2017), Dual Control Monte-Carlo Method for Tight Bounds of Value Function in Regime Switching Utility Maximization,
*European J Operational Research*262, 851-862. (pdf)

- Y.T. Huang, Q.S. Song, H. Zheng (2017), Weak Convergence of Path-dependent SDEs in Basket CDS Pricing with Contagion Risk,
*SIAM J Financial Mathematics*8, 1-27. (pdf)

- J.W. Gu, B. Jiang, W.K. Ching, H. Zheng (2016), On Modeling Economic Default Time: A Reduced-Form Model Approach,
*Computational Economics*47, 157-177. (pdf)

- B. Bian, N. Wu, H. Zheng (2016), Optimal Liquidation in a Finite Time Regime Switching Model with Permanent and Temporary Pricing Impact,
*Discrete and Continuous Dynamical Systems (Series B)*21, 1401-1420. (pdf)

- J.T. Ma, D.Y. Deng and H. Zheng (2016), Convergence Analysis and Optimal Strike Choice for Static Hedges of General Path-independent Payoffs,
*Quantitative Finance*16, 593-603. (pdf)

- C. Liu and H. Zheng (2016), Asymptotic Analysis for Target Asset Portfolio Allocation with Small Transaction Costs,
*Insurance: Mathematics and Economics*66, 59-68. (pdf)

- N. Westray and H. Zheng (2015), Constrained Nonsmooth Utility Maximization on the Positive Real Line,
*Mathematical Control and Related Fields*5, 679-695. (pdf)

- B. Bian, S. Hu, Q. Yuan, H. Zheng (2015), Constrained Viscosity Solution to the HJB Equation Arising in
Perpetual American Employee Stock Options Pricing,
*Discrete and Continuous Dynamical Systems (Series A)*35, 5413-5433. (pdf)

- X. Dong and H. Zheng (2015), Intensity Process for a Pure Jump Levy Structural Model with Incomplete Information,
*Stochastic Processes and Their Applications*125, 1307-1322. (arxiv)

- Y. Li and H. Zheng (2015), Weak Necessary and Sufficient Stochastic Maximum Principle for Markovian Regime-Switching Diffusion Models,
*Applied Mathematics and Optimization*71, 39-77. (arxiv)

- B. Bian and H. Zheng (2015), Turnpike Property and Convergence Rate for an Investment Model with General Utility Functions,
*J Economic Dynamics and Control*51, 28-49. (arxiv)

- G. Xu and H. Zheng (2014), Lower Bound Approximation to Basket Option Values for Local Volatility Jump-Diffusion Models,
*International J Theoretical and Applied Finance*17, 1-15. (arxiv)

- J.W. Gu, W.K. Ching, T.K. Siu, H. Zheng (2014), On Reduced Form Intensity-based Model with Trigger Events,
*J Operations Research Society*65, 331-339. (arxiv)

- J.W. Gu, W.K. Ching, T.K. Siu, H. Zheng (2013),
On Pricing Basket Credit Default Swaps,
*Quantitative Finance*13, 1845-1854. (arxiv)

- J.W. Gu, W.K. Ching, T.K. Siu, H. Zheng (2013), On Modeling Credit Defaults: A Probabilistic Boolean Network Approach,
*Risk and Decision Analysis*4, 119-129. (pdf)

- H. Zheng (2013), Contagion Models a la carte: Which One to Choose?,
*Quantitative Finance*13, 399-405. (arxiv)

- B. Bian, S. Miao, H. Zheng (2011), Smooth Value Functions for a Class of Nonsmooth
Utility Maximization Problems,
*SIAM J Financial Mathematics*2, 727-747. (arxiv)

- N. Westray and H. Zheng (2011), Minimal Sufficient Conditions for a Primal Optimizer in Nonsmooth
Utility Maximization,
*Finance and Stochastics*15, 501-512. (pdf)

- J. Lin, G. Liang, S. Wu, H. Zheng (2011), The Valuation of the Basket CDSs in the Primary-Subsidiary Model,
*Asia-Pacific J Operational Research*28, 213-238. (pdf)

- C. Czichowsky, N. Westray, H. Zheng (2011), Convergence in the Semimartingale Topology and Constrained Portfolios,
*Seminaire de Probabilites*XLIII, 395-412. (pdf)

- G. Xu and H. Zheng (2010), Basket Options Valuation for a Local Volatility Jump-Diffusion Model
with the Asymptotic Expansion Method,
*Insurance: Mathematics and Economics*47, 415-422. (arxiv)

- G. Xu and H. Zheng (2009), Approximate Basket Options Valuation for a Jump-Diffusion Model,
*Insurance: Mathematics and Economics*45, 188-194. (pdf)

- H. Zheng (2009), Efficient Frontier of Utility and Conditional VaR,
*Mathematical Methods of Operations Research*70, 129-148. (pdf)

- L. Jiang and H. Zheng (2009), Basket CDS Pricing with Interacting Intensities,
*Finance and Stochastics*13, 445-469. (pdf)

- N. Westray and H. Zheng (2009), Constrained Nonsmooth Utility Maximization without Quadratic Inf-Convoluiton,
*Stochastic Processes and Their Applications*119, 1561-1579. (pdf)

- Y.K. Shen and H. Zheng (2008), Jump Liquidity Risk and its Impact on CVaR,
*J Risk Finance*9, 477-491.

- H. Zheng (2007), Macaulay Duration for Nonparallel Shifts,
*Annals of Operations Research*151, 179-191.

- H. Zheng (2006), Interaction of Credit and
Liquidity Risks,
*J Banking Finance*30, 391-407.

- H. Zheng (2006), Efficient Hybrid Methods for Portfolio Credit Derivatives,
*Quantitative Finance*6, 349-357.

- R.B. Vinter and H. Zheng (2003),
Some Finance Problems Solved with Nonsmooth Optimization
Techniques,
*J Optimization, Theory and Application*119, 1-18.

- D.E. Allen, L.C. Thomas, H. Zheng (2003),
The Duration Derby: A Comparison of Duration Strategies
in Asset Liability Management,
*J Bond Trading Management*1, 371-380.

- M. R. Pinho, R. B. Vinter, H. Zheng (2001), A Maximum Principle for Optimal Control
Problems with Mixed Constraints,
*IMA J Mathematical Control and Information*18, 189-205.

- D.E. Allen, L.C. Thomas, H. Zheng (2000),
Stripping Coupons with Linear Programming,
*J Fixed Income*10, 80-87.

- R. B. Vinter and H. Zheng (2000), Necessary Conditions for Free End-Time, Measurably Time
Dependent Optimal Control
Problems with State Constraints,
*J Set-Valued Analysis*8, 11-29.

- M.R. Pinho and H. Zheng (1999), Conjugate Points for Optimal Control
Problems with State-Dependent Control Constraints,
*CRC Research Notes in Mathematics: Systems Modeling and Optimization*, Ed. MP Polis, Chapman and Hall, 162-170.

- R. B. Vinter and H. Zheng (1998), Necessary Conditions for Optimal Control Problems with State Constraints,
*Trans. American Mathematical Society*350, 1181-1204.

- A. Gautier, F. Granot, H. Zheng (1998), Qualitative Sensitivity Analysis
in Monotropic Programming,
*Mathematics of Operations Research*23, 695-707.

- R. B. Vinter and H. Zheng (1997), The Extended Euler Lagrange Condition
for Nonconvex Variational Problems,
*SIAM J Control Optimization*35, 56-77.

- P. D. Loewen and H. Zheng (1995), Epi-Differentiability of Integral
Functionals with Applications,
*Trans. American Mathematical Society*347, 443-459.

- P. D. Loewen and H. Zheng (1994), Generalized Conjugate Points for
Optimal Control Problems,
*J Nonlinear Analysis, Theory, Method and Applications*22, 771-791.

- H. Zheng (1994), Second Order Necessary Conditions for Differential
Inclusion Problems,
*Applied Mathematics and Optimization*30, 1-14.

- Statistical Distribution Theory (MSc in Mathematics and Finance).
Topics include basic concepts and results in probability
theory, common and advanced statistical distributions, statistical estimators
and sampling distributions, random variate generators, multivariate distribuitons,
sum of correlated random variables, copulas,
and other topics of current interest in statistics and mathematical finance.

- Mathematical Options Pricing (MSc in Mathematics and Finance). This course introduces continuous time mathematical optiopns pricing theory. Topics include some advanced stochastic analysis, Black-Scholes options pricing and hedging (call, put, barrier, lookback etc.), multi-asset options pricing (Margrabe, currency, etc.), American options pricing.