PIA: $2,000.00
Claim ages: 62 vs 67
Monthly (claim 62): $1,400.00
Monthly (claim 67): $2,000.00
Break-even: 78 years 8 months
Break-even (whole years): 79
Cumulative at 85 (claim 62): $386,400.00
Cumulative at 85 (claim 67): $432,000.00
Gap at 85: $45,600.00
Leader at 85: 67-claimer ahead by $45,600.00
Branch: PIA $3,000, 62 vs 67: PIA $3,000.00, claim 62 vs 67: monthly $2,100.00 vs $3,000.00, break-even 78 years 8 months, cumulative at 85 $579,600.00 vs $648,000.00, 67-claimer ahead by $68,400.00
Branch: 67 vs 70, PIA $2,000: PIA $2,000.00, claim 67 vs 70: monthly $2,000.00 vs $2,480.00, break-even 82 years 6 months (whole years 83: at 82 the 67-claimer leads $360,000.00 vs $357,120.00; at 83 the 70-claimer leads $386,880.00 vs $384,000.00), cumulative at 85 $432,000.00 vs $446,400.00, 70-claimer ahead by $14,400.00
Branch: 62 vs 70, PIA $2,000: PIA $2,000.00, claim 62 vs 70: monthly $1,400.00 vs $2,480.00, break-even 80 years 4 months (whole years 81: at 80 the 62-claimer leads $302,400.00 vs $297,600.00; at 81 the 70-claimer leads $327,360.00 vs $319,200.00), cumulative at 85 $386,400.00 vs $446,400.00, 70-claimer ahead by $60,000.00; cumulative at 90 $470,400.00 vs $595,200.00
Branch: PIA $1,500, 62 vs 67: PIA $1,500.00, claim 62 vs 67: monthly $1,050.00 vs $1,500.00, break-even 78 years 8 months, cumulative at 85 $289,800.00 vs $324,000.00, 67-claimer ahead by $34,200.00; cumulative at 80 $226,800.00 vs $234,000.00
Branch: 64 vs 67, PIA $2,000: PIA $2,000.00, claim 64 vs 67: monthly $1,600.00 vs $2,000.00, break-even 79 years exactly, cumulative at 85 $403,200.00 vs $432,000.00, 67-claimer ahead by $28,800.00; cumulative at 87 $441,600.00 vs $480,000.00
Branch: PIA $2,500, 62 vs 67: PIA $2,500.00, claim 62 vs 67: monthly $1,750.00 vs $2,500.00, break-even 78 years 8 months, cumulative at 85 $483,000.00 vs $540,000.00, 67-claimer ahead by $57,000.00
Branch: 65 vs 70, PIA $2,000: PIA $2,000.00, claim 65 vs 70: monthly $1,733.33 vs $2,480.00, break-even 81 years 7 months (whole years 82: at 81 the 65-claimer leads $332,800.00 vs $327,360.00; at 82 the 70-claimer leads $357,120.00 vs $353,600.00), cumulative at 85 $416,000.00 vs $446,400.00, 70-claimer ahead by $30,400.00; cumulative at 89 $499,200.00 vs $565,440.00
Reverse: PIA for a $2,000.00 monthly benefit at 62: $2,857.14
Reverse: PIA for a $2,000.00 monthly benefit at 62 (rounded): $2,857.14
Exact PIA for a $2,000.00 monthly benefit at 62: 2857.1429
At $2,857.14 the figures are: PIA $2,857.14, claim 62 vs 67: monthly $2,000.00 vs $2,857.14, break-even 78 years 8 months, cumulative at 85 $551,999.45 vs $617,142.24, 67-claimer ahead by $65,142.79
At the lower neighbor the figures are: PIA $2,857.13, claim 62 vs 67: monthly $1,999.99 vs $2,857.13, break-even 78 years 8 months, cumulative at 85 $551,997.52 vs $617,140.08, 67-claimer ahead by $65,142.56
At the upper neighbor the figures are: PIA $2,857.15, claim 62 vs 67: monthly $2,000.01 vs $2,857.15, break-even 78 years 8 months, cumulative at 85 $552,001.38 vs $617,144.40, 67-claimer ahead by $65,143.02
Reverse verdict: CONTINUOUS
Reverse: PIA for a $50,000.00 gap at 85: $2,192.98
Reverse: PIA for a $50,000.00 gap at 85 (rounded): $2,192.98
Exact PIA for a $50,000.00 gap at 85: 2192.9825
At $2,192.98 the figures are: PIA $2,192.98, claim 62 vs 67: monthly $1,535.09 vs $2,192.98, break-even 78 years 8 months, cumulative at 85 $423,683.74 vs $473,683.68, 67-claimer ahead by $49,999.94
At the lower neighbor the figures are: PIA $2,192.97, claim 62 vs 67: monthly $1,535.08 vs $2,192.97, break-even 78 years 8 months, cumulative at 85 $423,681.80 vs $473,681.52, 67-claimer ahead by $49,999.72
At the upper neighbor the figures are: PIA $2,192.99, claim 62 vs 67: monthly $1,535.09 vs $2,192.99, break-even 78 years 8 months, cumulative at 85 $423,685.67 vs $473,685.84, 67-claimer ahead by $50,000.17
Reverse verdict: CONTINUOUS
Reverse: Claiming age for a monthly benefit of at least $2,000.00: 67
Reverse: Claiming age for a monthly benefit of at least $2,000.00 (rounded): 67
Exact claiming age for a monthly benefit of at least $2,000.00: 67
At 67 the figures are: At 67: monthly $2,000.00
At the lower neighbor the figures are: At 66: monthly $1,866.67
At the upper neighbor the figures are: At 68: monthly $2,160.00
Reverse verdict: STEP
Reverse: PIA for a $2,480.00 monthly benefit at 70: $2,000.00
Reverse: PIA for a $2,480.00 monthly benefit at 70 (rounded): $2,000.00
Exact PIA for a $2,480.00 monthly benefit at 70: 2000.0000
At $2,000.00 the figures are: PIA $2,000.00, claim 70 vs 70: monthly $2,480.00 vs $2,480.00, break-even none (same claiming age), cumulative at 85 $446,400.00 vs $446,400.00, Tie
At the lower neighbor the figures are: PIA $1,999.99, claim 70 vs 70: monthly $2,479.99 vs $2,479.99, break-even none (same claiming age), cumulative at 85 $446,397.77 vs $446,397.77, Tie
At the upper neighbor the figures are: PIA $2,000.01, claim 70 vs 70: monthly $2,480.01 vs $2,480.01, break-even none (same claiming age), cumulative at 85 $446,402.23 vs $446,402.23, Tie
Reverse verdict: CONTINUOUS
Reverse: Age when the 67-claimer's total first reaches the 62-claimer's: 79
Reverse: Age when the 67-claimer's total first reaches the 62-claimer's (rounded): 79
Exact age when the 67-claimer's total first reaches the 62-claimer's: 79
At 79 the figures are: At age 79: 62-claimer $285,600.00 vs 67-claimer $288,000.00 — the 67-claimer leads by $2,400.00
At the lower neighbor the figures are: At age 78: 62-claimer $268,800.00 vs 67-claimer $264,000.00 — the 62-claimer leads by $4,800.00
At the upper neighbor the figures are: At age 80: 62-claimer $302,400.00 vs 67-claimer $312,000.00 — the 67-claimer leads by $9,600.00
Reverse verdict: STEP
Reverse: PIA for a $500,000.00 cumulative at 90 claiming at 62: $2,125.85
Reverse: PIA for a $500,000.00 cumulative at 90 claiming at 62 (rounded): $2,125.85
Exact PIA for a $500,000.00 cumulative at 90 claiming at 62: 2125.8503
At $2,125.85 the figures are: PIA $2,125.85, claim 62: cumulative at 90 $499,999.92
At the lower neighbor the figures are: PIA $2,125.84, claim 62: cumulative at 90 $499,997.57
At the upper neighbor the figures are: PIA $2,125.86, claim 62: cumulative at 90 $500,002.27
Reverse verdict: CONTINUOUS
Edge: PIA $0: PIA $0.00, claim 62 vs 67: monthly $0.00 vs $0.00, break-even none (benefits are $0.00), cumulative at 85 $0.00 vs $0.00, Tie
Edge: PIA $4,000: PIA $4,000.00, claim 62 vs 70: monthly $2,800.00 vs $4,960.00, break-even 80 years 4 months, cumulative at 85 $772,800.00 vs $892,800.00, 70-claimer ahead by $120,000.00
Edge: 62 vs 62: PIA $2,000.00, claim 62 vs 62: monthly $1,400.00 vs $1,400.00, break-even none (same claiming age), cumulative at 85 $386,400.00 vs $386,400.00, Tie
Edge: Cumulative at 62: PIA $2,000.00, claim 62 vs 67: monthly $1,400.00 vs $2,000.00, break-even 78 years 8 months, cumulative at 85 $386,400.00 vs $432,000.00, 67-claimer ahead by $45,600.00
Edge: 70 vs 70: PIA $2,000.00, claim 70 vs 70: monthly $2,480.00 vs $2,480.00, break-even none (same claiming age), cumulative at 85 $446,400.00 vs $446,400.00, Tie
Edge: Cumulative at 100: PIA $2,000.00, claim 62 vs 67: monthly $1,400.00 vs $2,000.00, break-even 78 years 8 months, cumulative at 85 $386,400.00 vs $432,000.00, 67-claimer ahead by $45,600.00
PIA $3,000, 62 vs 67: PIA $3,000.00, claim 62 vs 67: monthly $2,100.00 vs $3,000.00, break-even 78 years 8 months, cumulative at 85 $579,600.00 vs $648,000.00, 67-claimer ahead by $68,400.00.
67 vs 70, PIA $2,000: PIA $2,000.00, claim 67 vs 70: monthly $2,000.00 vs $2,480.00, break-even 82 years 6 months (whole years 83: at 82 the 67-claimer leads $360,000.00 vs $357,120.00; at 83 the 70-claimer leads $386,880.00 vs $384,000.00), cumulative at 85 $432,000.00 vs $446,400.00, 70-claimer ahead by $14,400.00.
62 vs 70, PIA $2,000: PIA $2,000.00, claim 62 vs 70: monthly $1,400.00 vs $2,480.00, break-even 80 years 4 months (whole years 81: at 80 the 62-claimer leads $302,400.00 vs $297,600.00; at 81 the 70-claimer leads $327,360.00 vs $319,200.00), cumulative at 85 $386,400.00 vs $446,400.00, 70-claimer ahead by $60,000.00; cumulative at 90 $470,400.00 vs $595,200.00.
PIA $1,500, 62 vs 67: PIA $1,500.00, claim 62 vs 67: monthly $1,050.00 vs $1,500.00, break-even 78 years 8 months, cumulative at 85 $289,800.00 vs $324,000.00, 67-claimer ahead by $34,200.00; cumulative at 80 $226,800.00 vs $234,000.00.
64 vs 67, PIA $2,000: PIA $2,000.00, claim 64 vs 67: monthly $1,600.00 vs $2,000.00, break-even 79 years exactly, cumulative at 85 $403,200.00 vs $432,000.00, 67-claimer ahead by $28,800.00; cumulative at 87 $441,600.00 vs $480,000.00.
PIA $2,500, 62 vs 67: PIA $2,500.00, claim 62 vs 67: monthly $1,750.00 vs $2,500.00, break-even 78 years 8 months, cumulative at 85 $483,000.00 vs $540,000.00, 67-claimer ahead by $57,000.00.
65 vs 70, PIA $2,000: PIA $2,000.00, claim 65 vs 70: monthly $1,733.33 vs $2,480.00, break-even 81 years 7 months (whole years 82: at 81 the 65-claimer leads $332,800.00 vs $327,360.00; at 82 the 70-claimer leads $357,120.00 vs $353,600.00), cumulative at 85 $416,000.00 vs $446,400.00, 70-claimer ahead by $30,400.00; cumulative at 89 $499,200.00 vs $565,440.00.
Reverse: the PIA for a $2,000.00 monthly benefit at 62 is $2,857.14 (exact 2857.1429); at $2,857.14 the monthly benefit is $2,000.00 — verdict: CONTINUOUS. The PIA for a $50,000.00 cumulative gap at 85 is $2,192.98 (exact 2192.9825); at $2,192.98 the gap is $49,999.94 — verdict: CONTINUOUS. The claiming age at which the monthly benefit first reaches $2,000.00 is 67; At 67: monthly $2,000.00; At 66: monthly $1,866.67 — verdict: STEP. The PIA for a $2,480.00 monthly benefit at 70 is $2,000.00 (exact 2000.0000); at $2,000.00 the monthly benefit is $2,480.00 — verdict: CONTINUOUS. The age at which the 67-claimer’s cumulative first reaches the 62-claimer’s is 79; At age 79: 62-claimer $285,600.00 vs 67-claimer $288,000.00 — the 67-claimer leads by $2,400.00; At age 78: 62-claimer $268,800.00 vs 67-claimer $264,000.00 — the 62-claimer leads by $4,800.00 — verdict: STEP. The PIA for a $500,000.00 cumulative total at 90 claiming at 62 is $2,125.85 (exact 2125.8503); PIA $2,125.85, claim 62: cumulative at 90 $499,999.92 — verdict: CONTINUOUS.
Edges: a PIA of $0 gives PIA $0.00, claim 62 vs 67: monthly $0.00 vs $0.00, break-even none (benefits are $0.00), cumulative at 85 $0.00 vs $0.00, Tie. A PIA of $4,000.00 gives PIA $4,000.00, claim 62 vs 70: monthly $2,800.00 vs $4,960.00, break-even 80 years 4 months, cumulative at 85 $772,800.00 vs $892,800.00, 70-claimer ahead by $120,000.00. Comparing 62 vs 62 gives PIA $2,000.00, claim 62 vs 62: monthly $1,400.00 vs $1,400.00, break-even none (same claiming age), cumulative at 85 $386,400.00 vs $386,400.00, Tie. The cumulative at age 62 is $0.00 for both claimers. Comparing 70 vs 70 gives PIA $2,000.00, claim 70 vs 70: monthly $2,480.00 vs $2,480.00, break-even none (same claiming age), cumulative at 85 $446,400.00 vs $446,400.00, Tie. The cumulative at age 100 is $638,400.00 for the 62-claimer, $792,000.00 for the 67-claimer, and $892,800.00 for the 70-claimer.