Search results for "Martingale pricing"

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Value preserving portfolio strategies and the minimal martingale measure

1998

We consider some relations between the minimal martingale measure and the value preserving martingale measure in a continuous-time securities market. Under the assumption of continuous share prices we show that under a structure condition both these martingale measures exist and indeed coincide. This however does not mean that the corresponding concepts of value preserving portfolio strategies and (local) risk minimisation in the area of option hedging in incomplete markets are identical.

Actuarial scienceGeneral MathematicsFinancial marketManagement Science and Operations ResearchDoob's martingale inequalityIncomplete marketsLocal martingaleEconometricsPortfolioMartingale difference sequenceMartingale (probability theory)SoftwareMartingale pricingMathematicsMathematical Methods of Operations Research
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