{
  "version": "2026.1",
  "generated_at": "2026-09-07",
  "generated_by": "scripts/gen_household_claiming_study.mjs",
  "study": "household-social-security-claiming-2026",
  "url": "https://quantcalc.app/research/household-social-security-claiming-2026/",
  "license": "CC-BY-4.0",
  "method": {
    "engine": "QuantCalc C Monte Carlo engine (quantcalc-server 2.0.0), household model (user + spouse Social Security, larger-of-the-two survivor rule) over the public simulate contract",
    "capital_market_assumptions": {
      "source": "JPMorgan LTCMA 2026",
      "as_of": "2025-11-01",
      "asset_classes": [
        "US Equity",
        "International Equity",
        "Bonds",
        "Real Estate",
        "Cash"
      ],
      "expected_returns": [
        0.067,
        0.074,
        0.048,
        0.065,
        0.032
      ],
      "volatilities": [
        0.152,
        0.18,
        0.05,
        0.15,
        0.01
      ]
    },
    "plan": {
      "capital": 1000000,
      "current_age": 62,
      "retirement_age": 62,
      "end_age": 95,
      "horizon_years": 33,
      "spending_annual_real": 60000,
      "allocation": [
        0.45,
        0.15,
        0.4,
        0,
        0
      ],
      "mix": "60/40",
      "inflation_rate": 0.025,
      "pension": 0,
      "taxes": "none applied to benefits or withdrawals in this mode"
    },
    "personas": [
      {
        "key": "A",
        "name": "Persona A",
        "higher_pia": 3000,
        "lower_pia": 1500
      },
      {
        "key": "B",
        "name": "Persona B",
        "higher_pia": 2500,
        "lower_pia": 800
      }
    ],
    "claim_ages": [
      62,
      67,
      70
    ],
    "full_retirement_age": 67,
    "claiming_factors": {
      "62": 0.7000000000000001,
      "67": 1,
      "70": 1.24
    },
    "baseline": {
      "lower_age": 67,
      "higher_age": 67
    },
    "roles": "engine user = lower earner, engine spouse = higher earner; spouseDeathAge is the user's age when the spouse dies, both are the same age, so the higher earner dies at 80",
    "benefits": "each earner's benefit is sent AT CLAIM = PIA × the app's claiming-age factor (frontend/js/ss-claiming.js), in today's dollars, raised with the plan's inflation rate (a full cost-of-living adjustment); the engine adds benefits gross — no tax on benefits or withdrawals in this mode",
    "survivor_rule": "after the death month the household keeps the LARGER of the two benefits (monte_carlo.c household_month_w); no spousal top-up is modelled at any point",
    "survivor_sensitivity": {
      "higher_earner_death_age": 80,
      "survivor_spending_pct": 100
    },
    "paths_per_arm": 10000,
    "pairing": "seed s with n ≤ 30 paths reads Sobol cache rows s..s+n−1 (random.c generate_sobol_normal offset = seed mod (rows − n + 1)); the 334 windows tile rows 0..9999 exactly",
    "paired_statistic": "per path: this cell's terminal real wealth − the both-at-67 cell's terminal real wealth on the same market path (same death assumption); reported as median, p10, p90, mean, and the share of paths where this cell ends higher; survivor cells are additionally paired against their own no-death twin",
    "lifetime_benefit": "deterministic sum of the monthly household benefit from 62 to 95 in today's dollars, computed from the same schedule the engine is given (household_month restated), with the larger-of-the-two rule after the death where a death is modelled",
    "dollars": "real (today's dollars); the engine deflates every reported value by its inflation path",
    "success": "a path counts as a success when the portfolio never reaches $0 before 95; the terminal value of a ruined path is $0",
    "checks": {
      "factors_match_app": {
        "62": 0.7000000000000001,
        "67": 1,
        "70": 1.24
      },
      "baseline_equals_itself": {
        "pA_l67_h67": {
          "max_abs_diff": 0,
          "share_tied": 1
        },
        "pA_l67_h67_d80": {
          "max_abs_diff": 0,
          "share_tied": 1
        },
        "pB_l67_h67": {
          "max_abs_diff": 0,
          "share_tied": 1
        },
        "pB_l67_h67_d80": {
          "max_abs_diff": 0,
          "share_tied": 1
        }
      },
      "pre_claim_identity": [
        {
          "persona": "A",
          "identical_years": 5,
          "differ_from_year": 6
        },
        {
          "persona": "B",
          "identical_years": 5,
          "differ_from_year": 6
        }
      ],
      "role_swap_identity": {
        "cell": "pA_l62_h70",
        "identical": true
      },
      "small_batch_identities": [
        {
          "seed": 0,
          "n": 30,
          "household_sum": true,
          "zero_spouse": true,
          "death_zero_benefit": true
        },
        {
          "seed": 30,
          "n": 30,
          "household_sum": true,
          "zero_spouse": true,
          "death_zero_benefit": true
        },
        {
          "seed": 60,
          "n": 30,
          "household_sum": true,
          "zero_spouse": true,
          "death_zero_benefit": true
        }
      ],
      "determinism": {
        "arm": "pA_l62_h70",
        "seed": 210,
        "n": 30,
        "identical": true
      },
      "engine_ruin_count_matches_terminal_gt_zero": true,
      "batched_equals_single_call": {
        "arms": 36,
        "max_gap": 0
      },
      "survivor_twins": [
        {
          "cell": "pA_l62_h62_d80",
          "identical_years": 18,
          "differ_from_year": 19
        },
        {
          "cell": "pA_l62_h67_d80",
          "identical_years": 18,
          "differ_from_year": 19
        },
        {
          "cell": "pA_l62_h70_d80",
          "identical_years": 18,
          "differ_from_year": 19
        },
        {
          "cell": "pA_l67_h62_d80",
          "identical_years": 18,
          "differ_from_year": 19
        },
        {
          "cell": "pA_l67_h67_d80",
          "identical_years": 18,
          "differ_from_year": 19
        },
        {
          "cell": "pA_l67_h70_d80",
          "identical_years": 18,
          "differ_from_year": 19
        },
        {
          "cell": "pA_l70_h62_d80",
          "identical_years": 18,
          "differ_from_year": 19
        },
        {
          "cell": "pA_l70_h67_d80",
          "identical_years": 18,
          "differ_from_year": 19
        },
        {
          "cell": "pA_l70_h70_d80",
          "identical_years": 18,
          "differ_from_year": 19
        },
        {
          "cell": "pB_l62_h62_d80",
          "identical_years": 18,
          "differ_from_year": 19
        },
        {
          "cell": "pB_l62_h67_d80",
          "identical_years": 18,
          "differ_from_year": 19
        },
        {
          "cell": "pB_l62_h70_d80",
          "identical_years": 18,
          "differ_from_year": 19
        },
        {
          "cell": "pB_l67_h62_d80",
          "identical_years": 18,
          "differ_from_year": 19
        },
        {
          "cell": "pB_l67_h67_d80",
          "identical_years": 18,
          "differ_from_year": 19
        },
        {
          "cell": "pB_l67_h70_d80",
          "identical_years": 18,
          "differ_from_year": 19
        },
        {
          "cell": "pB_l70_h62_d80",
          "identical_years": 18,
          "differ_from_year": 19
        },
        {
          "cell": "pB_l70_h67_d80",
          "identical_years": 18,
          "differ_from_year": 19
        },
        {
          "cell": "pB_l70_h70_d80",
          "identical_years": 18,
          "differ_from_year": 19
        }
      ],
      "starting_wealth_identical": true
    }
  },
  "cells": [
    {
      "persona": "A",
      "higher_pia": 3000,
      "lower_pia": 1500,
      "lower_claim_age": 62,
      "higher_claim_age": 62,
      "same_age": true,
      "higher_earner_death_age": null,
      "survivor_spending_pct": null,
      "is_baseline": false,
      "schedule": {
        "lower_monthly": 1050,
        "higher_monthly": 2100,
        "lower_factor": 0.7000000000000001,
        "higher_factor": 0.7000000000000001,
        "household_monthly_both_claiming": 3150,
        "survivor_monthly": 2100,
        "lifetime_real": 1247400,
        "lifetime_lower": 415800,
        "lifetime_higher": 831600,
        "cumulative_by_age": [
          {
            "age": 63,
            "cumulative": 37800
          },
          {
            "age": 64,
            "cumulative": 75600
          },
          {
            "age": 65,
            "cumulative": 113400
          },
          {
            "age": 66,
            "cumulative": 151200
          },
          {
            "age": 67,
            "cumulative": 189000
          },
          {
            "age": 68,
            "cumulative": 226800
          },
          {
            "age": 69,
            "cumulative": 264600
          },
          {
            "age": 70,
            "cumulative": 302400
          },
          {
            "age": 71,
            "cumulative": 340200
          },
          {
            "age": 72,
            "cumulative": 378000
          },
          {
            "age": 73,
            "cumulative": 415800
          },
          {
            "age": 74,
            "cumulative": 453600
          },
          {
            "age": 75,
            "cumulative": 491400
          },
          {
            "age": 76,
            "cumulative": 529200
          },
          {
            "age": 77,
            "cumulative": 567000
          },
          {
            "age": 78,
            "cumulative": 604800
          },
          {
            "age": 79,
            "cumulative": 642600
          },
          {
            "age": 80,
            "cumulative": 680400
          },
          {
            "age": 81,
            "cumulative": 718200
          },
          {
            "age": 82,
            "cumulative": 756000
          },
          {
            "age": 83,
            "cumulative": 793800
          },
          {
            "age": 84,
            "cumulative": 831600
          },
          {
            "age": 85,
            "cumulative": 869400
          },
          {
            "age": 86,
            "cumulative": 907200
          },
          {
            "age": 87,
            "cumulative": 945000
          },
          {
            "age": 88,
            "cumulative": 982800
          },
          {
            "age": 89,
            "cumulative": 1020600
          },
          {
            "age": 90,
            "cumulative": 1058400
          },
          {
            "age": 91,
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          },
          {
            "age": 92,
            "cumulative": 1134000
          },
          {
            "age": 93,
            "cumulative": 1171800
          },
          {
            "age": 94,
            "cumulative": 1209600
          },
          {
            "age": 95,
            "cumulative": 1247400
          }
        ],
        "household_by_age": [
          {
            "age": 63,
            "annual": 37800,
            "monthly": 3150
          },
          {
            "age": 64,
            "annual": 37800,
            "monthly": 3150
          },
          {
            "age": 65,
            "annual": 37800,
            "monthly": 3150
          },
          {
            "age": 66,
            "annual": 37800,
            "monthly": 3150
          },
          {
            "age": 67,
            "annual": 37800,
            "monthly": 3150
          },
          {
            "age": 68,
            "annual": 37800,
            "monthly": 3150
          },
          {
            "age": 69,
            "annual": 37800,
            "monthly": 3150
          },
          {
            "age": 70,
            "annual": 37800,
            "monthly": 3150
          },
          {
            "age": 71,
            "annual": 37800,
            "monthly": 3150
          },
          {
            "age": 72,
            "annual": 37800,
            "monthly": 3150
          },
          {
            "age": 73,
            "annual": 37800,
            "monthly": 3150
          },
          {
            "age": 74,
            "annual": 37800,
            "monthly": 3150
          },
          {
            "age": 75,
            "annual": 37800,
            "monthly": 3150
          },
          {
            "age": 76,
            "annual": 37800,
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          },
          {
            "age": 77,
            "annual": 37800,
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          },
          {
            "age": 78,
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          },
          {
            "age": 79,
            "annual": 37800,
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          },
          {
            "age": 80,
            "annual": 37800,
            "monthly": 3150
          },
          {
            "age": 81,
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          {
            "age": 82,
            "annual": 37800,
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          },
          {
            "age": 83,
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          {
            "age": 84,
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          {
            "age": 85,
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          {
            "age": 86,
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          {
            "age": 87,
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            "monthly": 3150
          },
          {
            "age": 89,
            "annual": 37800,
            "monthly": 3150
          },
          {
            "age": 90,
            "annual": 37800,
            "monthly": 3150
          },
          {
            "age": 91,
            "annual": 37800,
            "monthly": 3150
          },
          {
            "age": 92,
            "annual": 37800,
            "monthly": 3150
          },
          {
            "age": 93,
            "annual": 37800,
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          },
          {
            "age": 94,
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            "monthly": 3150
          },
          {
            "age": 95,
            "annual": 37800,
            "monthly": 3150
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        ]
      },
      "result": {
        "success_rate": 0.9992,
        "success_ci95": [
          0.998422030784317,
          0.9995945711578805
        ],
        "terminal_real": {
          "p5": 461928.064693118,
          "p10": 655148.061286305,
          "p25": 1126417.3932934639,
          "p50": 1894112.7636916994,
          "p75": 3019417.015820811,
          "p90": 4561517.239681852,
          "p95": 5836003.546860635,
          "mean": 2356502.450487812
        }
      },
      "baseline_result": {
        "success_rate": 1,
        "terminal_real": {
          "p5": 755660.919803035,
          "p10": 950023.7018140978,
          "p25": 1397048.6349017587,
          "p50": 2117244.9995684484,
          "p75": 3174721.784690799,
          "p90": 4594642.89456066,
          "p95": 5764873.613571106,
          "mean": 2544930.7003725586
        }
      },
      "paired_vs_both67": {
        "median_diff": -210027.38955323817,
        "p10_diff": -395083.9637016363,
        "p25_diff": -303221.395318271,
        "p75_diff": -104252.12699114275,
        "p90_diff": 34562.92160739284,
        "mean_diff": -188428.24988475282,
        "share_higher": 0.124,
        "share_lower": 0.876,
        "share_tied": 0,
        "a_survives_b_fails": 0,
        "b_survives_a_fails": 8,
        "both_fail": 0,
        "by_year": [
          {
            "year": 1,
            "age": 63,
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            "p10_diff": 35818.52247578034,
            "p90_diff": 41255.02217262576,
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            "year": 2,
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            "year": 18,
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            "year": 19,
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            "year": 20,
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            "year": 21,
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            "year": 22,
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            "year": 23,
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            "year": 24,
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