Derivation of discrete analog of Breeden–Litzenberger relation for risk-neutral density

Abhimanyu Kumar · International Journal of Financial Engineering · 2024

This short paper derives a formula for the risk-neutral density function at discrete points over the strike range using Abel’s summation formula in terms of the arbitrage-free call price function in a European option contingent. The estimate of risk-neutral density is crucial from a risk management perspective and other crucial assessments.

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