What is The Actuarial Mathematics of Aging Custodial Care?
Mathematical Foundation
Laws & Principles
- The Medicare Fallacy: Medicare covers acute medical needs (hospitals, doctors), but it strictly DOES NOT pay for long-term custodial care (help with bathing, dressing, taking pills). These costs are almost entirely out of pocket until the senior draws down their assets low enough to qualify for state Medicaid.
- The Hourly Tipping Point: In-home care is mathematically superior for light, part-time help (e.g., 4 hours a day to give family a break). The moment a senior requires 24/7 active monitoring (e.g., progressive dementia), the private hourly rate explodes past facility pricing, making Assisted Living or Memory Care mathematically necessary.
Step-by-Step Example Walkthrough
" A senior needs 8 hours of care, 5 days a week. Private nursing is $32/hr. Their mortgage is paid off, but food/taxes/utilities cost $1,500/mo. An ALF quoted $4,500 base, plus $1,200 for Tier 2 care and $300 for meds. "
- In-Home: ($32 × 8 × 5) = $1,280/wk
- Monthly Nurse: $1,280 × 4.33 = $5,542/mo
- Total In-Home: $5,542 + $1,500 = $7,042/mo
- Total ALF: $4,500 + $1,200 + $300 = $6,000/mo