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          "downsideNpv": 20.500540044760697,
          "npvSign": 1,
          "downsideNpvSign": 1
        },
        {
          "discountRate": 20,
          "npv": 14.17017930659221,
          "downsideNpv": -24.66385655472623,
          "npvSign": 1,
          "downsideNpvSign": -1
        },
        {
          "discountRate": 21.67430523505095,
          "npv": 2.1311436837601263e-14,
          "downsideNpv": -35.999999999999986,
          "npvSign": 1,
          "downsideNpvSign": -1
        },
        {
          "discountRate": 25,
          "npv": -23.265843009213693,
          "downsideNpv": -54.61267440737095,
          "npvSign": -1,
          "downsideNpvSign": -1
        },
        {
          "discountRate": 30,
          "npv": -49.409951427910066,
          "downsideNpv": -75.52796114232805,
          "npvSign": -1,
          "downsideNpvSign": -1
        },
        {
          "discountRate": 40,
          "npv": -82.9073700657111,
          "downsideNpv": -102.32589605256888,
          "npvSign": -1,
          "downsideNpvSign": -1
        },
        {
          "discountRate": 60,
          "npv": -116.5688527471044,
          "downsideNpv": -129.25508219768352,
          "npvSign": -1,
          "downsideNpvSign": -1
        },
        {
          "discountRate": 80,
          "npv": -133.17933003668594,
          "downsideNpv": -142.54346402934874,
          "npvSign": -1,
          "downsideNpvSign": -1
        },
        {
          "discountRate": 100,
          "npv": -143.00000762939453,
          "downsideNpv": -150.40000610351564,
          "npvSign": -1,
          "downsideNpvSign": -1
        }
      ]
    },
    {
      "title": "IRR root verification",
      "columns": [
        {
          "key": "rateDisplay",
          "label": "IRR",
          "unit": "%"
        },
        {
          "key": "npvAtRoot",
          "label": "NPV at root",
          "unit": "USDm"
        },
        {
          "key": "normalisedResidual",
          "label": "Relative residual",
          "unit": ""
        },
        {
          "key": "status",
          "label": "Root certificate",
          "unit": ""
        }
      ],
      "rows": [
        {
          "rate": 21.67430523505095,
          "rateDisplay": "21.6743",
          "npvAtRoot": -1.0391687510491465e-13,
          "normalisedResidual": 2.3684757858670016e-16,
          "status": "Certified root; residual is a floating diagnostic"
        }
      ]
    }
  ],
  "warnings": [],
  "summary": "Cash flows exceed the 10% hurdle on an NPV basis for the canonical decimal inputs. The lowest supplied coverage is 1.21×, falling to 0.97× under the CFADS stress. First undiscounted cumulative recovery occurs at 4.57 years; later negative flows may reverse it.",
  "methods": [
    "NPV = sum of cash flow at t divided by (1 + r)^t, with initial cash at t = 0.",
    "NPV sign is evaluated as an exact rational from the canonical decimal representation of the validated JSON numbers. The JSON export retains the exact fraction and a rounded forty-significant-digit decimal; charts use its Number approximation.",
    "IRRs are the distinct positive roots of the exact canonical-decimal cash-flow polynomial in x = 1 / (1 + r). Square-free reduction and a BigInt Sturm chain certify the count; rational intervals isolate each root before nearest-even Number rate conversion.",
    "DSCR = CFADS / debt service for periods with positive debt service.",
    "Sensitivity holds every cash flow constant while moving the discount rate; the operating stress changes future cash flows and CFADS by 20%. First undiscounted recovery uses exact canonical decimal cumulative cash balances and within-period interpolation. Later deficits do not erase the first recovery."
  ],
  "limitations": [
    "Annual equal spacing. Cash flow, CFADS and debt service are independent supplied series. No tax, inflation, debt sculpting or dated cash-flow engine.",
    "Several or no IRRs may exist. NPV remains the preference criterion at the supplied hurdle rate.",
    "Repeated roots are counted once. Exact isolation intervals and root counts are retained. If distinct roots round to the same Number, a rate is not finite above −100%, or the bounded refinement budget is exhausted, affected rates are explicitly unavailable; they are never reported as absent roots.",
    "Numerical input precision: use zero or absolute values of at least 0.000000001. Smaller nonzero inputs are rejected explicitly.",
    "Exact NPV sign and IRR count/isolation apply to canonical decimal numbers after JSON parsing, not to unrecorded extra digits. Equal annual spacing and supplied inputs remain assumptions. IRR headline rates, residual diagnostics, present-value rows, stress construction and chart coordinates use Number approximations. Cumulative cash amounts and fractional recovery times are converted to Number approximations after the first crossing is determined."
  ]
}