How Stochastic Volatility Can Reduce Effective Correlation in Correlation Swaps

Summary

The document asks whether correlation swaps respond differently to stochastic volatility than to local volatility. Its answer identifies a decorrelation effect: under stochastic volatility, each underlying’s volatility varies over time, increasing the variability of its price path. The resulting effective realized correlation can therefore be lower than under a model with deterministic volatility.

This is a brief qualitative explanation rather than a derivation. It gives no equations, model assumptions, numerical comparison, or empirical evidence, and it does not detail how the effect depends on volatility dynamics or swap structure. The claim is best treated as an intuition about model sensitivity, not a general quantitative estimate for pricing every correlation swap.

Key ideas

• Stochastic volatility allows underlying volatilities to fluctuate over time.
• The added variation in price paths can lower effective realized correlation.
• This decorrelation effect can affect correlation swap valuation.
• The explanation is qualitative and provides no calculation or model-specific evidence.

Tags

# Sensitivity of correlation swaps to stochastic volatility


# Sensitivity of correlation swaps to stochastic volatility












Are correlation swaps sensitive to stochastic volatility? Can you please justify from a theoretical point of view?

## Answer by AKdemy (score 1, accepted)

https://quant.stackexchange.com/a/63840

I guess you ask if there is a difference if you model them via stochastic vol as opposed to local vol for example? If so, yes. The effect is called decorrelation. Since SV has vols fluctuate as opposed to deterministic, you get more variation in the price of the underlyings. Hence, your effective realized correlation is smaller in SV.

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