Why the rider matters more than the benefit you buy
A long-term care policy is bought decades before it is used. The gap between issue and claim is routinely twenty-five or thirty years, and over that span the daily benefit written on the policy schedule is not the number that matters — the number that matters is what it has grown to on the day you file. A $200 daily benefit issued today with no inflation protection is still $200 a day in 2050, against a cost of care that has more than tripled.
The inflation rider is the mechanism that keeps the benefit moving. Carriers usually offer two shapes. A simple rider adds a fixed percentage of the original benefit every year, so the dollar increase never changes: at 5% simple on a $200 benefit, the increase is $10 a year, every year, forever. A compound rider applies the percentage to the current benefit, so the increase grows: at 3% compound the first year adds $6 and the twenty-fifth adds $12.20.
Because compound rates are quoted lower than simple rates, the simple rider is ahead for a long time and the compound rider wins in the end. Exactly when the two curves cross is the whole question, and it is not intuitive: at 5% simple against 3% compound the crossover is nearly thirty-three years out, which is later than many buyers will ever claim. That is not an argument against compound — it is an argument for computing the crossover against your own likely claim age rather than accepting a rule of thumb.
There is a third curve on the same chart, and it is the one that decides whether any of this is enough: the cost of care itself. A rider growing at 3% against care costs growing at 4.5% is losing ground every year. The benefit rises, the share of the bill it covers falls.
Two growth laws, and where they cross
The simple rider is linear: B(t) = B0(1 + rst). Plotted against time it is a straight line, and its slope is fixed at B0rs dollars per year no matter how long the policy runs.
The compound rider is exponential: B(t) = B0(1 + rc)t. Its slope starts at roughly B0·ln(1 + rc) and increases every year. A straight line beats a curve that starts flatter, until the curve's slope has grown past the line's — after which the curve pulls away and never comes back.
Setting the two equal gives (1 + rc)t = 1 + rst, which has no closed-form solution in elementary functions, so the calculator finds it numerically. Two consequences are worth knowing. First, when the two rates are equal, the crossover is exactly one year — at t = 1 both formulas give B0(1 + r), and beyond that compounding wins by Bernoulli's inequality. That is why a like-for-like comparison always favours compound, and why carriers never quote them at the same rate. Second, the crossover moves out sharply as the compound rate falls below the simple one, because the compound curve needs longer to build slope.
The cost of care is projected the same way as the compound rider, at whatever inflation rate you assume. Dividing the benefit by the cost gives the share of the daily bill your policy pays. Watching that ratio across the rows of the table is more informative than any single number on the page: if it falls as you move down the table, the policy is losing the race regardless of how much the benefit has grown.
Worked example: 5% simple against 3% compound, claimed at year 25
You are quoted a $200 daily benefit. The simple rider grows it at 5%, the compound rider at 3%. Care costs $320 a day today and you assume 4.5% care inflation. You expect to claim in 25 years. The three premiums quoted are $1,800 with no rider, $2,900 with simple and $3,600 with compound.
- Simple benefit at claim. 1 + 0.05 × 25 = 2.25, so $200 × 2.25 = $450.00 a day.
- Compound benefit at claim. 1.0325 = 2.093778, so $200 × 2.093778 = $418.76 a day.
- Which is bigger? The simple rider, by $31.24 a day — because year 25 is before the crossover.
- Where is the crossover? Solve 1.03t = 1 + 0.05t. At t = 32 the left side is 2.5751 and the right is 2.60, so simple is still ahead. At t = 33 the left side is 2.6523 and the right is 2.65, so compound has passed it. Solving precisely gives year 32.92.
- Cost of care at claim. 1.04525 = 3.005424, so $320 × 3.005424 = $961.74 a day.
- Share covered. Simple: $450.00 ÷ $961.74 = 46.8%. Compound: $418.76 ÷ $961.74 = 43.5%.
- Cost per dollar of extra benefit, simple. The rider costs $2,900 − $1,800 = $1,100 a year for 25 years, so $27,500. It bought $450.00 − $200.00 = $250.00 of extra daily benefit. That is $27,500 ÷ $250.00 = $110.00 of premium per $1 a day of extra benefit.
- Cost per dollar of extra benefit, compound. $1,800 a year for 25 years is $45,000, buying $218.76 of extra daily benefit: $45,000 ÷ $218.76 = $205.71.
On this claim date the simple rider delivers more benefit for less premium, and it does so by a wide margin. That verdict reverses if you claim after year 32.92, and it reverses more emphatically the further past it you go — at year 40 the compound rider pays $652.41 a day against the simple rider's $600.00. The decision is therefore a bet on claim age, and the honest way to make it is to run both a realistic and a late claim date rather than a single central case.
Reading the coverage ratio, which is the number that matters
The daily benefit at claim is satisfying to look at and tells you almost nothing on its own. Divide it by the projected cost of care and you have the figure that determines what the policy actually does for you. A benefit covering 45% of the daily bill means every day of care still costs you more than half of it out of pocket — over a three-year episode at $961 a day, that residual is more than half a million dollars.
Three ratios are worth distinguishing. Above 100% the policy covers the whole daily cost with room to spare, which is unusual and normally means the rider rate exceeds the care inflation rate over a long horizon. Between 70% and 100% the policy is doing its job: the uncovered residual is fundable from ordinary retirement income. Below 60% the policy is a partial subsidy rather than a solution, and you should size the uncovered part explicitly with the long-term care cost projection calculator before concluding you are protected.
The direction of the ratio matters as much as its level. If the compound rider rate is below your care inflation assumption, the ratio falls with every year the claim is delayed — a later claim means a bigger benefit and a smaller share of the bill. If the rider rate is above the inflation assumption, the reverse holds. The calculator states which regime you are in, and it is worth testing your inflation assumption in both directions, because the whole comparison hangs on the difference between two rates rather than on either of their levels.
Finally, treat the premium-per-dollar figures as a cost comparison rather than a verdict. They compare the total extra premium paid up to the claim date against the extra daily benefit standing at that date. They ignore the pool of benefit dollars, which grows with the daily benefit on most contracts, and they ignore the possibility of a claim earlier or later than you assumed.
Benefit growth multipliers, simple against compound
| Years from issue | 5% simple | 3% compound | 5% compound |
|---|---|---|---|
| 10 | 1.500 | 1.344 | 1.629 |
| 20 | 2.000 | 1.806 | 2.653 |
| 25 | 2.250 | 2.094 | 3.386 |
| 30 | 2.500 | 2.427 | 4.322 |
| 40 | 3.000 | 3.262 | 7.040 |
Read across the 5% simple and 3% compound columns: simple leads at 10, 20, 25 and 30 years, and compound has passed it by 40. The crossover falls between the last two rows, at year 32.92.
What the projection leaves out
- Premiums on traditional policies are not guaranteed. Carriers may seek approved rate increases on in-force blocks, and older blocks have seen substantial ones. The lifetime cost figures here assume the quoted premium holds, which is an assumption rather than a fact. Hybrid life or annuity policies with a care rider generally do guarantee the premium, at a higher price.
- The benefit pool grows too, on most contracts. A policy is normally written as a daily or monthly maximum plus a total pool of dollars. Where the rider increases both, the calculator understates its value, because it prices only the daily figure.
- Some riders stop growing at claim, and some do not. A rider that continues to increase the benefit while you are on claim is materially more valuable over a multi-year episode. Read the rider form rather than the illustration.
- Elimination periods and monthly-versus-daily payment change the arithmetic. A policy paying a monthly maximum lets an expensive day be offset by a cheap one; a strict daily maximum does not, and the difference is real when care is delivered irregularly at home.
- Future purchase options are a third design. Instead of a rider, some policies offer periodic opportunities to buy more benefit at attained-age rates. That keeps the initial premium low and back-loads the cost, and it fails if you decline the offers or cannot afford them later.
- Partnership programmes may require a specific rider. Many states' long-term care partnership programmes, which protect assets from Medicaid estate recovery, require inflation protection of a specified type depending on the buyer's age. The choice may be constrained rather than free.
Buying age is what really decides simple against compound
The crossover year is a fixed property of the two rates. Whether it sits before or after your claim is a property of how old you are when you buy. Someone buying at 50 has a plausible claim horizon of thirty-five years or more and will very likely be past a crossover in the low thirties; someone buying at 65 with a plausible horizon of twenty years almost certainly will not. That is the reason the conventional advice — compound if you are under about 60, simple or a lower compound rate if you are older — has a sound basis, and it is also the reason you should check it against your own quoted rates rather than assume it. Two carriers offering 5%/3% and 4%/3% produce crossovers a long way apart.
Where the rider decision sits in the whole policy
An inflation rider is one of four levers on a long-term care policy, and the four interact. The daily or monthly maximum sets what the policy pays per day of care. The benefit period or pool sets how long it keeps paying. The elimination period sets how long you fund care yourself before it starts. And the rider determines what all of those are worth by the time you use them.
A common and expensive mistake is to buy a large daily benefit with no inflation protection because it looks generous today. Twenty-five years of 4.5% care inflation reduces the purchasing power of a level benefit to about a third of what it was, so a $300 level benefit at issue behaves like a $100 benefit at claim. Buying a smaller benefit with a compound rider almost always produces a better outcome at the same premium, and the calculator lets you test that directly by lowering the benefit and raising the rate.
Once the rider is chosen, the residual — the part of the daily cost the policy does not cover — is the number to carry into the rest of the plan. Size the full episode with the long-term care cost projection calculator, and if you are still working, check that the nearer risk is covered first with the disability insurance benefit calculator and the elimination period calculator. Long-term care insurance protects an estate late in life; disability insurance protects the earnings that build it, and the second is the more urgent of the two for anyone still in work.