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Research Report FMRR99-001

Numerical Comparison of Local Risk-Minimisation and Mean-Variance

David Heath, Eckhard Platen and Martin Schweizer

Abstract: This paper provides comparative results on prices, hedging strategies and risks for local risk-minimisation and mean-variance hedging for a class of stochastic volatility models. A pricing and hedging framework is established for both approaches with detailed analysis undertaken for the well-known Heston and Stein/Stein stochastic volatility models. These illustrate important quantitative differences between the two approaches.


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