06-reference/research

hecm lesa calculation formula florida

2026-10-04·research-brief·source: deep-research·by Ray Data Co (deep-research synthesis)·! high
hecmlesafloridahome-rebuild-2027parents-retirement-home

HUD's LESA Formula Is a 1.2x-Cushioned Annuity-Due at Expected-Rate-Plus-MIP Over a 1979-81 Mortality Table — and at Market-Average Florida Insurance Rates Under Assumed Coverage It Runs 85-124% of the Entire Principal Limit

Research for a decision. Not financial, tax, or legal advice. Every figure below is a model output, not a lender quote.

The question

"What is HUD's actual LESA (Life Expectancy Set-Aside) calculation formula — discount basis, life-expectancy table, cushion — and what dollar set-aside does it produce for a 70-year-old at Florida property-charge levels on a $450k-$600k house?"

Context: [[2026-10-01-hecm-for-purchase-at-real-price-points]] called this "the single largest unquantified number in this brief," because its undiscounted 17-year bound on property charges came out roughly equal to the entire principal limit at a 7.25% expected rate. If a Required Fully-Funded LESA applies, a Home Equity Conversion Mortgage (HECM) for Purchase may be functionally unavailable rather than merely more expensive — a different answer that would settle the option without resolving any other open question.

What we already know (from the vault)

What the web says

Convergences and contradictions

Synthesis for RDCO

The formula, stated once and auditably. Let PC be annual property taxes + homeowners insurance + flood insurance (no HOA, no condo, no "other"). Let m be the Regulation Z Appendix L Loan Period 2 life expectancy in years for the youngest mortgagor (age rounded up if the next birthday is within 183 days of closing), times 12. Let c = (expected average mortgage interest rate + annual MIP rate) / 12. Then the Fully-Funded LESA equals (1.2 × PC / 12) × (1+c) × [1 − (1+c)^(−m)] / c. I validated this implementation to the cent against HUD's own worked example as reproduced in the National Reverse Mortgage Lenders Association (NRMLA) deck "The Math Behind HECMs" (which cites FA Guide §§5.3 and 5.6, pp. 76-77): PC = $4,000, m = 144, c = 5.25%/12 → $42,854.18, and the partial case MRIS = $100 → $12,856.25. Both match exactly. For the case at hand — age 70, expected rate 7.250%, annual MIP 0.50%, so c = 7.75%/12 and m = 180 — the annuity-due factor is 106.9249, which collapses to a usable rule of thumb: LESA ≈ 10.69 × annual property charges.

The worked dollars, at the parent brief's three price points. Three clearly-separated charge scenarios, all at age 70 / expected rate (ER) 7.250%, compared against the parent brief's verified principal limits of $162,000 / $189,000 / $216,000:

Scenario (annual charges) $450,000 $525,000 $600,000 LESA as % of principal limit
A — parent brief carried forward (tax 1.2%; HOI $4,200/$4,800/$5,400) · ASSUMED, inherited labeled guess $102,648 $118,687 $134,725 62-63%
B — market-rate HOI, LOW bracket (ASSUMED tax 0.90%; ASSUMED 70%-of-price dwelling coverage x SOURCED $27.90/$1k = $8,788/$10,253/$11,718) $137,276 $160,155 $183,034 85%
C — market-rate HOI, HIGH bracket (ASSUMED tax 1.40%; ASSUMED 100%-of-price coverage x SOURCED $27.90/$1k = $12,555/$14,647/$16,740) $201,607 $235,208 $268,809 124%

Worked step by step at $600,000, Scenario C: property tax $600,000 × 1.40% = $8,400; homeowners insurance $600,000 × $27.90/$1,000 = $16,740; flood $0. PC = $25,140. Cushioned: $25,140 × 1.2 = $30,168. Monthly: ÷ 12 = $2,514.00. Annuity-due factor at c = 0.0775/12 = 0.00645833 and m = 180: (1 + c) × [1 − (1+c)^−180] / c = 106.9249. LESA = $2,514.00 × 106.9249 = $268,809. Against a principal limit of $600,000 × 0.360 = $216,000, that is a shortfall of $52,809 — the set-aside alone exceeds every dollar the loan would advance.

Headline range: roughly $103k-$202k at $450k, $119k-$235k at $525k, $135k-$269k at $600k. That width is not an observed market range. It is set by the dwelling-coverage ratio I had to assume (70% of purchase price in the low bracket, 100% in the high bracket), which is a labelled assumption and not a sourced input; see Labelled assumptions at the end of this brief. The spread is driven almost entirely by Florida homeowners insurance — it is 43% of total property charges on the parent brief's assumptions, 68.5% in the low bracket and 66.6% in the high bracket, and the gap between the parent brief's $5,400 and the market's $16,690 at $600k is worth about $121,000 of LESA by itself. Property tax rate is the second driver, worth about $32k of spread at $600k across my 0.90-1.40% bracket. Borrower age is third: the 183-day roll-up from 70 to 71 cuts the factor from 106.92 to 103.00, about -3.7%. Expected rate is a weak lever and cuts the wrong way for H4P — a lower rate shrinks the LESA but grows the principal limit faster, so the net improves, but never enough in Scenario C: even at a 5.500% expected rate (PLF 0.439, PL $263,400 at $600k) the Scenario-C LESA is $299,407 and still exceeds the principal limit by $36,007. Flood insurance is in PC and the parent brief zeroed it: every $1,000/yr of flood premium adds $10,692 to the LESA, so a coastal Florida property in a Special Flood Hazard Area at $2,500/yr carries a $26,700 LESA surcharge on top of the table above.

The clean structural result, which is the most portable thing in this brief: because both the principal limit and the property charges scale with price, the LESA-to-principal-limit ratio is independent of the price point. At age 70 and a 7.250% expected rate, the break-even is PLF ÷ (0.1 × 106.9249) = 0.360 ÷ 10.69 = 3.37% of purchase price in annual property charges wipes out the entire principal limit — $15,151 at $450k, $17,676 at $525k, $20,201 at $600k. Florida taxes-plus-insurance on a fresh purchase run 2.1% of price on the parent brief's assumptions, 2.85% in the low bracket, and 4.19% in the high bracket. Both brackets rest on the assumed dwelling-coverage ratio documented under Labelled assumptions, so neither is a quoted premium. That single comparison is the whole decision. H4P does not fail or survive by price point; it fails or survives on whether Florida insurance comes in near the market average or well under it.

Now the decision question, head-on: a Required Fully-Funded LESA is NOT the default. Guide §5.1 is unambiguous — a borrower who demonstrates both willingness and capacity gets no LESA. §5.9 names the only three doors into one: (1) credit history unacceptable after extenuating circumstances → Fully Funded; (2) property charge payment history unacceptable after extenuating circumstances → Fully Funded; (3) residual income insufficient after compensating factors → Partially Funded, escalating to Fully Funded only if the partial exceeds 75% of the projected cost. Doors (1) and (2) are about the parents' payment track record and have nothing to do with Florida insurance. Door (3) is sized off the income gap, not off property charges — if the shortfall is $200/month, the partial LESA is $200 × 1.2 × 106.9249 = $25,662, not $268,809. So the correct verdict is "worse, with a conditional cliff," not "unavailable." The backlog note's worry, that a Required Fully-Funded LESA would settle H4P outright, is a live risk but a contingent one, and it is contingent on facts about the parents we have not gathered, not on arithmetic.

But the financial assessment has a second, quieter kill switch that nobody has priced, and it is the real finding here. Residual income is computed as total monthly income minus monthly debt payments minus Total Monthly Property Charges (actual, un-cushioned, and this one does include HOA) minus a maintenance-and-utility allowance of $0.14 per square foot of gross living area above grade (Model HECM Financial Assessment Worksheet, Section E). It must clear $886/month for a two-person household in Florida. On Scenario C at $600k that is $886 + $2,095 + ~$350 = $3,331/month of income before a single other debt payment; on Scenario B, $2,663; on the parent brief's assumptions, $2,286. Parents on Social Security alone are plausibly inside that band and plausibly outside it. §5.9 does give relief — HUD explicitly allows the mortgagee to re-test residual income after a Fully-Funded LESA removes the charges from out-of-pocket — but it also warns that where the borrower "will still fall significantly short of the residual income standard, the approval of a HECM, even with a Fully Funded LESA, may not represent a sustainable solution." That is a soft denial, and at Scenario-C charge levels it is reachable. The thing to go verify is not the LESA formula any more; it is the parents' credit and property-charge payment history, their actual monthly income, and one real Florida insurance quote.

What this does to the parent brief's bottom line. Scenario A is the apples-to-apples comparison: carrying the parent brief's own assumptions forward, cash to close rises from $307,000 / $356,500 / $406,000 to $409,648 / $475,187 / $540,725 — an H4P purchase at 90-91% cash down. The parent brief's finding that H4P already loses to the conventional gift path at $450k and wins only modestly at $600k does not survive that: with a Fully-Funded LESA in Scenario A, H4P is beaten by the sized-cash-gift path at every modelled price, and in Scenario C the required set-aside exceeds the principal limit by $52,809; I found no HUD text permitting a LESA larger than available proceeds, and whether that is a hard ineligibility or a lender denial is unresolved (see Open follow-ups). One honest counterweight: a LESA is a withholding, not a charge — it is added to the loan balance only as payments are actually made, and any unused balance is never owed, so a LESA makes the terminal-equity comparison in the parent brief less bad, not worse. It is a cash-at-closing problem, and cash at closing is exactly the axis on which the founder was evaluating H4P. The correction already flagged in [[01-projects/home-rebuild-2027/README]] stands and gets stronger.

Why this is in the vault

This closes the one number [[2026-10-01-hecm-for-purchase-at-real-price-points]] named as its largest unquantified gap, and it changes the Q1 2027 decision gate in [[01-projects/home-rebuild-2027/milestones]]: the H4P branch of the Parents' Retirement Home decision can no longer be evaluated without a Florida homeowners-insurance quote, because that single input moves the required set-aside by ~$121,000 at $600k and can push it past the principal limit entirely, at which point originability itself becomes an open question (see Open follow-ups). It also retires a research question rather than deferring it — the formula is now pinned to HUD-authored text from two matching mirrors of the ML 2016-10 attachment; the live hud.gov copy is still unretrieved. No further research is needed on the mechanism, only on three facts about the borrowers.

Open follow-ups

Related

Sources

HUD / federal primary

Secondary / validation

Market inputs (commercial aggregators, not regulators — labelled SOURCED but not primary)

Vault

Labelled assumptions (mine, not sourced)