{
  "model_version": "spending-path-20261021-v1",
  "evidence_type": "original deterministic synthetic model; no observed prices or customer outcomes",
  "scenario_count": 16,
  "ledger_row_count": 154,
  "summaries": [
    {
      "scenario_id": "main_no_costs_cash_0_fall_then_rebound",
      "path_id": "fall_then_rebound",
      "months": 12,
      "initial_ltc": "20",
      "initial_cash_usd": "0",
      "initial_wealth_usd": "2000",
      "monthly_bill_usd": "100",
      "proportional_fee": "0",
      "fixed_sale_fee_usd": "0",
      "terminal_price_usd": "100.0",
      "total_bill_due_usd": "1200",
      "total_bill_paid_usd": "1200.00",
      "total_unpaid_usd": "0.00",
      "total_ltc_sold": "13.00000000",
      "total_proportional_fee_usd": "0.000000000",
      "total_fixed_fee_usd": "0",
      "total_uncredited_rounding_remainder_usd": "0.000000000",
      "sale_count": 12,
      "first_shortfall_month": null,
      "terminal_ltc": "7.00000000",
      "terminal_cash_usd": "0.00",
      "terminal_marked_value_usd": "700.000000000"
    },
    {
      "scenario_id": "main_no_costs_cash_0_rise_then_fall",
      "path_id": "rise_then_fall",
      "months": 12,
      "initial_ltc": "20",
      "initial_cash_usd": "0",
      "initial_wealth_usd": "2000",
      "monthly_bill_usd": "100",
      "proportional_fee": "0",
      "fixed_sale_fee_usd": "0",
      "terminal_price_usd": "100.0",
      "total_bill_due_usd": "1200",
      "total_bill_paid_usd": "1200.00",
      "total_unpaid_usd": "0.00",
      "total_ltc_sold": "11.50000000",
      "total_proportional_fee_usd": "0.000000000",
      "total_fixed_fee_usd": "0",
      "total_uncredited_rounding_remainder_usd": "0.000000000",
      "sale_count": 12,
      "first_shortfall_month": null,
      "terminal_ltc": "8.50000000",
      "terminal_cash_usd": "0.00",
      "terminal_marked_value_usd": "850.000000000"
    },
    {
      "scenario_id": "main_no_costs_cash_100_fall_then_rebound",
      "path_id": "fall_then_rebound",
      "months": 12,
      "initial_ltc": "19",
      "initial_cash_usd": "100",
      "initial_wealth_usd": "2000",
      "monthly_bill_usd": "100",
      "proportional_fee": "0",
      "fixed_sale_fee_usd": "0",
      "terminal_price_usd": "100.0",
      "total_bill_due_usd": "1200",
      "total_bill_paid_usd": "1200.00",
      "total_unpaid_usd": "0.00",
      "total_ltc_sold": "11.00000000",
      "total_proportional_fee_usd": "0.000000000",
      "total_fixed_fee_usd": "0",
      "total_uncredited_rounding_remainder_usd": "0.000000000",
      "sale_count": 11,
      "first_shortfall_month": null,
      "terminal_ltc": "8.00000000",
      "terminal_cash_usd": "0.00",
      "terminal_marked_value_usd": "800.000000000"
    },
    {
      "scenario_id": "main_no_costs_cash_100_rise_then_fall",
      "path_id": "rise_then_fall",
      "months": 12,
      "initial_ltc": "19",
      "initial_cash_usd": "100",
      "initial_wealth_usd": "2000",
      "monthly_bill_usd": "100",
      "proportional_fee": "0",
      "fixed_sale_fee_usd": "0",
      "terminal_price_usd": "100.0",
      "total_bill_due_usd": "1200",
      "total_bill_paid_usd": "1200.00",
      "total_unpaid_usd": "0.00",
      "total_ltc_sold": "11.00000000",
      "total_proportional_fee_usd": "0.000000000",
      "total_fixed_fee_usd": "0",
      "total_uncredited_rounding_remainder_usd": "0.000000000",
      "sale_count": 11,
      "first_shortfall_month": null,
      "terminal_ltc": "8.00000000",
      "terminal_cash_usd": "0.00",
      "terminal_marked_value_usd": "800.000000000"
    },
    {
      "scenario_id": "main_no_costs_cash_200_fall_then_rebound",
      "path_id": "fall_then_rebound",
      "months": 12,
      "initial_ltc": "18",
      "initial_cash_usd": "200",
      "initial_wealth_usd": "2000",
      "monthly_bill_usd": "100",
      "proportional_fee": "0",
      "fixed_sale_fee_usd": "0",
      "terminal_price_usd": "100.0",
      "total_bill_due_usd": "1200",
      "total_bill_paid_usd": "1200.00",
      "total_unpaid_usd": "0.00",
      "total_ltc_sold": "10.00000000",
      "total_proportional_fee_usd": "0.000000000",
      "total_fixed_fee_usd": "0",
      "total_uncredited_rounding_remainder_usd": "0.000000000",
      "sale_count": 10,
      "first_shortfall_month": null,
      "terminal_ltc": "8.00000000",
      "terminal_cash_usd": "0.00",
      "terminal_marked_value_usd": "800.000000000"
    },
    {
      "scenario_id": "main_no_costs_cash_200_rise_then_fall",
      "path_id": "rise_then_fall",
      "months": 12,
      "initial_ltc": "18",
      "initial_cash_usd": "200",
      "initial_wealth_usd": "2000",
      "monthly_bill_usd": "100",
      "proportional_fee": "0",
      "fixed_sale_fee_usd": "0",
      "terminal_price_usd": "100.0",
      "total_bill_due_usd": "1200",
      "total_bill_paid_usd": "1200.00",
      "total_unpaid_usd": "0.00",
      "total_ltc_sold": "10.00000000",
      "total_proportional_fee_usd": "0.000000000",
      "total_fixed_fee_usd": "0",
      "total_uncredited_rounding_remainder_usd": "0.000000000",
      "sale_count": 10,
      "first_shortfall_month": null,
      "terminal_ltc": "8.00000000",
      "terminal_cash_usd": "0.00",
      "terminal_marked_value_usd": "800.000000000"
    },
    {
      "scenario_id": "main_one_percent_plus_one_dollar_cash_0_fall_then_rebound",
      "path_id": "fall_then_rebound",
      "months": 12,
      "initial_ltc": "20",
      "initial_cash_usd": "0",
      "initial_wealth_usd": "2000",
      "monthly_bill_usd": "100",
      "proportional_fee": "0.01",
      "fixed_sale_fee_usd": "1",
      "terminal_price_usd": "100.0",
      "total_bill_due_usd": "1200",
      "total_bill_paid_usd": "1200.00",
      "total_unpaid_usd": "0.00",
      "total_ltc_sold": "13.26262638",
      "total_proportional_fee_usd": "12.24242435500",
      "total_fixed_fee_usd": "12",
      "total_uncredited_rounding_remainder_usd": "0.00001114500",
      "sale_count": 12,
      "first_shortfall_month": null,
      "terminal_ltc": "6.73737362",
      "terminal_cash_usd": "0.00",
      "terminal_marked_value_usd": "673.737362000"
    },
    {
      "scenario_id": "main_one_percent_plus_one_dollar_cash_0_rise_then_fall",
      "path_id": "rise_then_fall",
      "months": 12,
      "initial_ltc": "20",
      "initial_cash_usd": "0",
      "initial_wealth_usd": "2000",
      "monthly_bill_usd": "100",
      "proportional_fee": "0.01",
      "fixed_sale_fee_usd": "1",
      "terminal_price_usd": "100.0",
      "total_bill_due_usd": "1200",
      "total_bill_paid_usd": "1200.00",
      "total_unpaid_usd": "0.00",
      "total_ltc_sold": "11.73232335",
      "total_proportional_fee_usd": "12.24242437000",
      "total_fixed_fee_usd": "12",
      "total_uncredited_rounding_remainder_usd": "0.00001263000",
      "sale_count": 12,
      "first_shortfall_month": null,
      "terminal_ltc": "8.26767665",
      "terminal_cash_usd": "0.00",
      "terminal_marked_value_usd": "826.767665000"
    },
    {
      "scenario_id": "main_one_percent_plus_one_dollar_cash_100_fall_then_rebound",
      "path_id": "fall_then_rebound",
      "months": 12,
      "initial_ltc": "19",
      "initial_cash_usd": "100",
      "initial_wealth_usd": "2000",
      "monthly_bill_usd": "100",
      "proportional_fee": "0.01",
      "fixed_sale_fee_usd": "1",
      "terminal_price_usd": "100.0",
      "total_bill_due_usd": "1200",
      "total_bill_paid_usd": "1200.00",
      "total_unpaid_usd": "0.00",
      "total_ltc_sold": "11.22222233",
      "total_proportional_fee_usd": "11.22222233000",
      "total_fixed_fee_usd": "11",
      "total_uncredited_rounding_remainder_usd": "0.00001067000",
      "sale_count": 11,
      "first_shortfall_month": null,
      "terminal_ltc": "7.77777767",
      "terminal_cash_usd": "0.00",
      "terminal_marked_value_usd": "777.777767000"
    },
    {
      "scenario_id": "main_one_percent_plus_one_dollar_cash_100_rise_then_fall",
      "path_id": "rise_then_fall",
      "months": 12,
      "initial_ltc": "19",
      "initial_cash_usd": "100",
      "initial_wealth_usd": "2000",
      "monthly_bill_usd": "100",
      "proportional_fee": "0.01",
      "fixed_sale_fee_usd": "1",
      "terminal_price_usd": "100.0",
      "total_bill_due_usd": "1200",
      "total_bill_paid_usd": "1200.00",
      "total_unpaid_usd": "0.00",
      "total_ltc_sold": "11.22222233",
      "total_proportional_fee_usd": "11.22222233000",
      "total_fixed_fee_usd": "11",
      "total_uncredited_rounding_remainder_usd": "0.00001067000",
      "sale_count": 11,
      "first_shortfall_month": null,
      "terminal_ltc": "7.77777767",
      "terminal_cash_usd": "0.00",
      "terminal_marked_value_usd": "777.777767000"
    },
    {
      "scenario_id": "main_one_percent_plus_one_dollar_cash_200_fall_then_rebound",
      "path_id": "fall_then_rebound",
      "months": 12,
      "initial_ltc": "18",
      "initial_cash_usd": "200",
      "initial_wealth_usd": "2000",
      "monthly_bill_usd": "100",
      "proportional_fee": "0.01",
      "fixed_sale_fee_usd": "1",
      "terminal_price_usd": "100.0",
      "total_bill_due_usd": "1200",
      "total_bill_paid_usd": "1200.00",
      "total_unpaid_usd": "0.00",
      "total_ltc_sold": "10.20202030",
      "total_proportional_fee_usd": "10.20202030000",
      "total_fixed_fee_usd": "10",
      "total_uncredited_rounding_remainder_usd": "0.00000970000",
      "sale_count": 10,
      "first_shortfall_month": null,
      "terminal_ltc": "7.79797970",
      "terminal_cash_usd": "0.00",
      "terminal_marked_value_usd": "779.797970000"
    },
    {
      "scenario_id": "main_one_percent_plus_one_dollar_cash_200_rise_then_fall",
      "path_id": "rise_then_fall",
      "months": 12,
      "initial_ltc": "18",
      "initial_cash_usd": "200",
      "initial_wealth_usd": "2000",
      "monthly_bill_usd": "100",
      "proportional_fee": "0.01",
      "fixed_sale_fee_usd": "1",
      "terminal_price_usd": "100.0",
      "total_bill_due_usd": "1200",
      "total_bill_paid_usd": "1200.00",
      "total_unpaid_usd": "0.00",
      "total_ltc_sold": "10.20202030",
      "total_proportional_fee_usd": "10.20202030000",
      "total_fixed_fee_usd": "10",
      "total_uncredited_rounding_remainder_usd": "0.00000970000",
      "sale_count": 10,
      "first_shortfall_month": null,
      "terminal_ltc": "7.79797970",
      "terminal_cash_usd": "0.00",
      "terminal_marked_value_usd": "779.797970000"
    },
    {
      "scenario_id": "small_fall_then_rebound",
      "path_id": "fall_then_rebound",
      "months": 2,
      "initial_ltc": "3",
      "initial_cash_usd": "0",
      "initial_wealth_usd": "300",
      "monthly_bill_usd": "100",
      "proportional_fee": "0",
      "fixed_sale_fee_usd": "0",
      "terminal_price_usd": "100.0",
      "total_bill_due_usd": "200",
      "total_bill_paid_usd": "200.00",
      "total_unpaid_usd": "0.00",
      "total_ltc_sold": "3.00000000",
      "total_proportional_fee_usd": "0.000000000",
      "total_fixed_fee_usd": "0",
      "total_uncredited_rounding_remainder_usd": "0.000000000",
      "sale_count": 2,
      "first_shortfall_month": null,
      "terminal_ltc": "0.00000000",
      "terminal_cash_usd": "0.00",
      "terminal_marked_value_usd": "0.000000000"
    },
    {
      "scenario_id": "small_rise_then_fall",
      "path_id": "rise_then_fall",
      "months": 2,
      "initial_ltc": "3",
      "initial_cash_usd": "0",
      "initial_wealth_usd": "300",
      "monthly_bill_usd": "100",
      "proportional_fee": "0",
      "fixed_sale_fee_usd": "0",
      "terminal_price_usd": "100.0",
      "total_bill_due_usd": "200",
      "total_bill_paid_usd": "200.00",
      "total_unpaid_usd": "0.00",
      "total_ltc_sold": "1.50000000",
      "total_proportional_fee_usd": "0.000000000",
      "total_fixed_fee_usd": "0",
      "total_uncredited_rounding_remainder_usd": "0.000000000",
      "sale_count": 2,
      "first_shortfall_month": null,
      "terminal_ltc": "1.50000000",
      "terminal_cash_usd": "0.00",
      "terminal_marked_value_usd": "150.000000000"
    },
    {
      "scenario_id": "depletion_fall_then_rebound",
      "path_id": "fall_then_rebound",
      "months": 3,
      "initial_ltc": "2.5",
      "initial_cash_usd": "0",
      "initial_wealth_usd": "250.0",
      "monthly_bill_usd": "100",
      "proportional_fee": "0",
      "fixed_sale_fee_usd": "0",
      "terminal_price_usd": "100.0",
      "total_bill_due_usd": "300",
      "total_bill_paid_usd": "150.00",
      "total_unpaid_usd": "150.00",
      "total_ltc_sold": "2.50000000",
      "total_proportional_fee_usd": "0.000000000",
      "total_fixed_fee_usd": "0",
      "total_uncredited_rounding_remainder_usd": "0.000000000",
      "sale_count": 2,
      "first_shortfall_month": 2,
      "terminal_ltc": "0.00000000",
      "terminal_cash_usd": "0.00",
      "terminal_marked_value_usd": "0.000000000"
    },
    {
      "scenario_id": "depletion_rise_then_fall",
      "path_id": "rise_then_fall",
      "months": 3,
      "initial_ltc": "2.5",
      "initial_cash_usd": "0",
      "initial_wealth_usd": "250.0",
      "monthly_bill_usd": "100",
      "proportional_fee": "0",
      "fixed_sale_fee_usd": "0",
      "terminal_price_usd": "100.0",
      "total_bill_due_usd": "300",
      "total_bill_paid_usd": "300.00",
      "total_unpaid_usd": "0.00",
      "total_ltc_sold": "2.50000000",
      "total_proportional_fee_usd": "0.000000000",
      "total_fixed_fee_usd": "0",
      "total_uncredited_rounding_remainder_usd": "0.000000000",
      "sale_count": 3,
      "first_shortfall_month": null,
      "terminal_ltc": "0.00000000",
      "terminal_cash_usd": "0.00",
      "terminal_marked_value_usd": "0.000000000"
    }
  ],
  "monthly_ledger": [
    {
      "scenario_id": "main_no_costs_cash_0_fall_then_rebound",
      "path_id": "fall_then_rebound",
      "month": 1,
      "return_pct": "-50",
      "price_usd": "50.0",
      "opening_ltc": "20",
      "opening_cash_usd": "0",
      "bill_due_usd": "100",
      "cash_used_before_sale_usd": "0",
      "required_ltc": "2.00000000",
      "ltc_sold": "2.00000000",
      "gross_sale_usd": "100.000000000",
      "proportional_fee_usd": "0.000000000",
      "fixed_fee_usd": "0",
      "cash_credited_usd": "100.00",
      "uncredited_rounding_remainder_usd": "0.000000000",
      "bill_paid_usd": "100.00",
      "unpaid_usd": "0.00",
      "closing_ltc": "18.00000000",
      "closing_cash_usd": "0.00",
      "closing_marked_value_usd": "900.000000000",
      "status": "paid"
    },
    {
      "scenario_id": "main_no_costs_cash_0_fall_then_rebound",
      "path_id": "fall_then_rebound",
      "month": 2,
      "return_pct": "100",
      "price_usd": "100.0",
      "opening_ltc": "18.00000000",
      "opening_cash_usd": "0.00",
      "bill_due_usd": "100",
      "cash_used_before_sale_usd": "0.00",
      "required_ltc": "1.00000000",
      "ltc_sold": "1.00000000",
      "gross_sale_usd": "100.000000000",
      "proportional_fee_usd": "0.000000000",
      "fixed_fee_usd": "0",
      "cash_credited_usd": "100.00",
      "uncredited_rounding_remainder_usd": "0.000000000",
      "bill_paid_usd": "100.00",
      "unpaid_usd": "0.00",
      "closing_ltc": "17.00000000",
      "closing_cash_usd": "0.00",
      "closing_marked_value_usd": "1700.000000000",
      "status": "paid"
    },
    {
      "scenario_id": "main_no_costs_cash_0_fall_then_rebound",
      "path_id": "fall_then_rebound",
      "month": 3,
      "return_pct": "0",
      "price_usd": "100.0",
      "opening_ltc": "17.00000000",
      "opening_cash_usd": "0.00",
      "bill_due_usd": "100",
      "cash_used_before_sale_usd": "0.00",
      "required_ltc": "1.00000000",
      "ltc_sold": "1.00000000",
      "gross_sale_usd": "100.000000000",
      "proportional_fee_usd": "0.000000000",
      "fixed_fee_usd": "0",
      "cash_credited_usd": "100.00",
      "uncredited_rounding_remainder_usd": "0.000000000",
      "bill_paid_usd": "100.00",
      "unpaid_usd": "0.00",
      "closing_ltc": "16.00000000",
      "closing_cash_usd": "0.00",
      "closing_marked_value_usd": "1600.000000000",
      "status": "paid"
    },
    {
      "scenario_id": "main_no_costs_cash_0_fall_then_rebound",
      "path_id": "fall_then_rebound",
      "month": 4,
      "return_pct": "0",
      "price_usd": "100.0",
      "opening_ltc": "16.00000000",
      "opening_cash_usd": "0.00",
      "bill_due_usd": "100",
      "cash_used_before_sale_usd": "0.00",
      "required_ltc": "1.00000000",
      "ltc_sold": "1.00000000",
      "gross_sale_usd": "100.000000000",
      "proportional_fee_usd": "0.000000000",
      "fixed_fee_usd": "0",
      "cash_credited_usd": "100.00",
      "uncredited_rounding_remainder_usd": "0.000000000",
      "bill_paid_usd": "100.00",
      "unpaid_usd": "0.00",
      "closing_ltc": "15.00000000",
      "closing_cash_usd": "0.00",
      "closing_marked_value_usd": "1500.000000000",
      "status": "paid"
    },
    {
      "scenario_id": "main_no_costs_cash_0_fall_then_rebound",
      "path_id": "fall_then_rebound",
      "month": 5,
      "return_pct": "0",
      "price_usd": "100.0",
      "opening_ltc": "15.00000000",
      "opening_cash_usd": "0.00",
      "bill_due_usd": "100",
      "cash_used_before_sale_usd": "0.00",
      "required_ltc": "1.00000000",
      "ltc_sold": "1.00000000",
      "gross_sale_usd": "100.000000000",
      "proportional_fee_usd": "0.000000000",
      "fixed_fee_usd": "0",
      "cash_credited_usd": "100.00",
      "uncredited_rounding_remainder_usd": "0.000000000",
      "bill_paid_usd": "100.00",
      "unpaid_usd": "0.00",
      "closing_ltc": "14.00000000",
      "closing_cash_usd": "0.00",
      "closing_marked_value_usd": "1400.000000000",
      "status": "paid"
    },
    {
      "scenario_id": "main_no_costs_cash_0_fall_then_rebound",
      "path_id": "fall_then_rebound",
      "month": 6,
      "return_pct": "0",
      "price_usd": "100.0",
      "opening_ltc": "14.00000000",
      "opening_cash_usd": "0.00",
      "bill_due_usd": "100",
      "cash_used_before_sale_usd": "0.00",
      "required_ltc": "1.00000000",
      "ltc_sold": "1.00000000",
      "gross_sale_usd": "100.000000000",
      "proportional_fee_usd": "0.000000000",
      "fixed_fee_usd": "0",
      "cash_credited_usd": "100.00",
      "uncredited_rounding_remainder_usd": "0.000000000",
      "bill_paid_usd": "100.00",
      "unpaid_usd": "0.00",
      "closing_ltc": "13.00000000",
      "closing_cash_usd": "0.00",
      "closing_marked_value_usd": "1300.000000000",
      "status": "paid"
    },
    {
      "scenario_id": "main_no_costs_cash_0_fall_then_rebound",
      "path_id": "fall_then_rebound",
      "month": 7,
      "return_pct": "0",
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}
