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Capital share and volatility share reconciliation

Asset A carries 40% capital but approximately 60.869565% of model volatility in the original pair.

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Find covariance with the whole portfolio

For Asset A, Cov(A,P)=0.4×0.04+0.6×0.006=0.0196. For B, Cov(B,P)=0.4×0.006+0.6×0.01=0.0084. Each expression includes both the own variance and covariance with the other asset.

Divide by total standard deviation

Total standard deviation is approximately 0.11349009. Marginal contributions are approximately 0.17270231 for A and 0.07401527 for B. These derivatives are not yet weighted contributions; adding them does not produce portfolio volatility.

Apply weights and reconcile

Original Euler decomposition
AssetCapital weightWeighted contribution (percentage points)Risk share
A40%6.90809260.869565%
B60%4.44091639.130435%
Total100%11.349009100%

Retain precision until the final display

The displayed components can differ slightly from the displayed total after independent rounding. Check the sum using unrounded values. Risk shares describe this covariance record; they do not establish an investor’s desired risk budget.

Further references