Description
Clip amount-threshold at zero, multiply by nonnegative taper, and cap at nonnegative cap.
Health-benefit calculations depend on explicit eligibility flags, coverage periods, caps, exclusions, and payment order. Applying supplied arithmetic is separate from determining actual insurance terms or a legally payable claim.
Clip amount-threshold at zero, multiply by nonnegative taper, and cap at nonnegative cap.
When to use this tool
Use Copayment Taper Marginal Term when you need one transparent benefit or reimbursement component under a declared rule.
How to use the tool and how it works
- Enter amount, threshold, taper, cap, equalityInTaper. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read copayment, marginalRate. Use the output convention below.
Clip amount-threshold at zero, multiply by nonnegative taper, and cap at nonnegative cap. Return taper as marginalRate only in the selected threshold region and strictly below the cap, otherwise zero.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| amount | Amount | Required. Finite number; minimum 0. |
| threshold | Threshold | Required. Finite number; minimum 0. |
| taper | Taper | Required. Finite number; minimum 0. |
| cap | Cap | Required. Finite number; minimum 0. |
| equalityInTaper | Equality In Taper | Required. Boolean. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| copayment | Copayment | Required. Finite number. |
| marginalRate | Marginal Rate | Required. Finite number. |
{
"input": {
"amount": 30,
"threshold": 10,
"taper": 0.5,
"cap": 20,
"equalityInTaper": false
},
"output": {
"copayment": 10,
"marginalRate": 0.5
}
}Limitations and assumptions
- Equality at threshold follows equalityInTaper; equality at the cap gives zero marginalRate. This boundary convention does not establish a globally differentiable function or an applicable benefit rule.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Confirm policy terms, verified enrollment, claim eligibility, and appropriate accounting or legal interpretation before relying on a payment result.
References
Similar or alternative tools
- Service Benefit Phaseout Step
Clip excessBase at zero, round its step count upward or downward using partialStepCounts, and reduce benefit with a zero floor.
- Claim Coinsurance Cap Order
Either cap eligibleAmount before applying the fraction or cap the resulting member amount, according to capBeforeShare.