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FinancePy's Barone Adesi Whaley path forms zero divided by zero when the risk-free rate is zero.

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The published wheel fails for a call and put.

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The ratio is not singular.

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Its limit is two divided by volatility squared times time.

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E x p m one evaluates it without cancelling nearby numbers.

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At a rate of ten to the minus twelve, the released put solver also stops after fifty iterations.

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The corrected boundary converges at about seven point nine six five six.

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An independent two thousand step C R R tree gives seven point one one zero three.

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Corrected B A W gives seven point zero nine eight three: approximate, finite, continuous.

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Four focused tests, nine hundred fifty-nine full tests, and both workflows pass.

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Pull request two sixty-one remains open.

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Synthetic prices only; no institution or loss is claimed.

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Check the evidence.

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Then decide.