GRAT Remainder Value
Model a GRAT taxable remainder from caller-supplied annuity and discount assumptions.
Description
A retained-annuity model discounts end-of-year payments before subtracting their value from a contribution.
A retained-annuity model discounts end-of-year payments before subtracting their value from a contribution. This calculator uses an ordinary-annuity formula rather than a complete GRAT actuarial valuation.1
Model a GRAT taxable remainder from caller-supplied annuity and discount assumptions.
When to use GRAT Remainder Value
Use this tool to model a GRAT taxable remainder from caller-supplied annuity and discount assumptions.
Choose the specific arithmetic or checklist scenario and establish its input amounts, dates, rates and criteria from the applicable records. Keep currencies, periods and jurisdictions consistent; review the tool-specific assumptions before interpreting the result.
How to use GRAT Remainder Value and understand its results
- Choose the specific arithmetic or checklist scenario and establish its input amounts, dates, rates and criteria from the applicable records. Keep currencies, periods and jurisdictions consistent; review the tool-specific assumptions before interpreting the result.
- Enter contributionValue, annualAnnuity, annualDiscountRatePercent, termYears using the field table and calculation rules, then run the tool.
- Read annuityPresentValue, taxableRemainderValue. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
| Input field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| contributionValue | GRAT contribution value | number; minimum: 0 | Required |
| annualAnnuity | Annual annuity | number; minimum: 0 | Required |
| annualDiscountRatePercent | Annual discount rate (%) | number; minimum: 0 | Required |
| termYears | GRAT term (years) | integer; minimum: 1 | Required |
Enter nonnegative contribution, annuity payment and discount rate with term under the field constraints. Return annuity present value and floored modeled remainder.
annuityPV=payment×[1−(1+r)^−term]/r; r=0 → payment×term; remainder=max(0,contribution−annuityPV) Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| annuityPresentValue | Annuity present value | number; minimum: 0 |
| taxableRemainderValue | Modeled taxable remainder | number; minimum: 0 |
{
"input": {
"contributionValue": 1000,
"annualAnnuity": 100,
"annualDiscountRatePercent": 0,
"termYears": 5
},
"output": {
"annuityPresentValue": 500,
"taxableRemainderValue": 500
}
}Limitations and assumptions
Mortality, payment timing variants, actuarial tables and legal gift valuation are not implemented. A remainder of zero is a model output, not confirmation of a valid trust structure.
Numeric inputs must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.
Alternative or Complementary methods
Use QPRT Remainder Value: Model a QPRT remainder using caller-supplied property value, term, and discount rate. For a complementary task, use CRUT–CLAT Comparison: Compare caller-supplied CRUT remainder and CLAT lead valuation factors.
References
-
GRAT Remainder Value — tool.io
Similar or alternative tools
- QPRT Remainder Value
Model a QPRT remainder using caller-supplied property value, term, and discount rate.
- CRUT–CLAT Comparison
Compare caller-supplied CRUT remainder and CLAT lead valuation factors.