Introduction
A participating policy statement may show both bonuses already declared and a possible future bonus scale. These figures can appear side by side, but they do not necessarily have the same status. A declared addition may be guaranteed under the policy terms, while a future rate used for an illustration may be only an assumption and may change.
The key is to read the declaration rule and the policy wording together. A rate being announced, discussed, or used in a projection does not by itself establish that an addition has attached to a policy. The calculation must distinguish amounts already declared from amounts that depend on future decisions or conditions.
Read the Rule Before Doing the Arithmetic
There is no single declaration rule that applies to every participating policy. The contract or stated assumptions may specify when a bonus is declared, which policies qualify, what amount is added, and which events make the addition payable. A calculation should not silently replace those terms with a general convention.
For example, a simple reversionary bonus might be declared as a fixed amount per $1,000 of basic sum assured. A compound reversionary bonus might instead be calculated as a percentage of the benefit base specified in the contract. In either case, the calculation of an addition does not by itself determine whether the addition has been declared or whether a particular claim qualifies.
Before calculating, identify these items:
- Declaration status: Has the bonus actually been declared, or is its rate only shown as an assumption for future years?
- Effective date: Was the declaration made before the relevant claim date, and does the policy need to be in force on a specified date?
- Bonus base: Is the rate applied to basic sum assured, an existing benefit including vested additions, or another specified amount?
- Claim condition: Does the contract include the addition in the benefit payable for this event?
- Future rates: Are later rates contractually fixed, or are they projections subject to future declaration?
In the examples below, all policies and declaration rules are hypothetical. No interest rate, mortality assumption, or probability distribution is needed: the task is to determine a stated benefit amount, conditional on the given policy terms and claim timing.
Worked Example: A Lower Actual Rate Replaces an Illustration
A hypothetical policy has a basic sum assured of $80,000 and $12,000 of previously declared simple reversionary additions. The contract specifies that each declared simple addition is calculated per $1,000 of basic sum assured and is included in a death benefit if declared before death while the policy is in force. At the end of the current year, a bonus of $25 per $1,000 is declared. A statement had illustrated a rate of $20 per $1,000 for each of the next three years, but that future scale was not guaranteed. In the next two years, the actual declarations are each $12.50 per $1,000. The insured dies just after the second of those actual declarations, while the policy is in force. Find the death benefit.
Method. Calculate each addition using its specified base, include only actual declarations made before death, and exclude the undeclared years in the illustration.
The basic sum assured contains \(80{,}000/1{,}000=80\) units of $1,000. The current declared addition is therefore:
After this declaration, the accumulated declared additions are $12,000 + $2,000 = $14,000. Each later actual declaration is \(80 \times \$12.50=\$1{,}000\). Two such declarations add \(2 \times \$1{,}000=\$2{,}000\). Thus the benefit at death is:
The three illustrated future additions are not included: their rates were assumptions, not declarations. Common mistake: adding three projected amounts of $1,600 to the benefit, or adding both those projected amounts and the actual declarations. Neither treatment follows the stated terms. The calculated $96,000 consists only of the basic sum assured and additions actually declared before death.
Why a Declaration Changes the Benefit Calculation
A declaration matters because it changes the amount that the contract terms say is attached to the policy. Suppose, for illustration, that the benefit before a declaration is \(G\), and a simple addition is declared at rate \(b\) per unit of basic sum assured \(S\). The addition is \(bS\) when \(S\) is expressed in the matching units. If the contract includes that addition in the benefit on the claim event, the benefit after declaration is \(G+bS\). A future rate that has not been declared contributes no term to this amount.
The same logic applies when the stipulated method is compound and the rate is applied to the current benefit base. Let \(G_{j-1}\) be the benefit base before the \(j\)th declaration and \(r_j\) the rate actually declared for that date. Under the specific rule that the addition is \(r_j\) times that base, the addition is \(r_jG_{j-1}\). Therefore:
This recurrence follows directly from adding the declared amount to the base. It applies only when the contract specifies this compounding base and the rate \(r_j\) has actually been declared. Replacing \(r_j\) with an illustrated future rate gives a projection, not a guaranteed amount.
Worked Example: Compounding Only the Rates Actually Declared
A hypothetical policy has a $50,000 basic sum assured and $5,000 in previously declared additions. Its rules state that a compound reversionary bonus, once declared, is added to the current benefit base and is payable on a death claim while the policy is in force. A 4% bonus is declared now. A projection shows 4% for each of the next two years, but those future rates are not guaranteed. The actual declarations in those two years are 2% and 2%. The insured dies immediately after the second actual declaration. Calculate the benefit and compare it with the amount shown by the 4% projection.
Method. First apply the current declaration to the existing base. Then apply each later actual declared rate in sequence. For comparison, apply the illustrated rate only as a projection.
Before the current declaration, the base is $50,000 + $5,000 = $55,000. The current declared addition is \(0.04 \times \$55{,}000=\$2{,}200\), so the post-declaration base is $57,200.
At the first later declaration, the actual 2% addition is \(0.02 \times \$57{,}200=\$1{,}144\). The new base is $57,200 + $1,144 = $58,344. At the second later declaration, the addition is \(0.02 \times \$58{,}344=\$1{,}166.88\). The resulting death benefit is:
For comparison, the projection uses 4% for both later years:
The projected amount is $2,356.64 higher than the benefit based on the actual declarations: $61,867.52 − $59,510.88 = $2,356.64. Common mistake: reporting the projection as guaranteed or applying both the projected rates and actual declarations. Only the rates actually declared contribute to the benefit determined under the stated rule.
Timing and Eligibility Can Matter as Much as the Rate
A bonus can have a stated rate and still not be payable on a particular claim. The relevant question is not just “What rate was announced?” but “Was the addition declared and applicable to this policy before the claim, under the specified eligibility terms?” A date printed for an anniversary and a declaration date are not necessarily the same date.
The following example stipulates that a declaration applies only to policies in force on its declaration date. It also stipulates that no interim bonus applies to a death claim before that date. Those details are essential; a different contract could prescribe different treatment.
Worked Example: Claim Before or After the Declaration Date
A hypothetical policy has a $75,000 basic sum assured and $6,000 in previously declared additions. The policy anniversary is July 1, but the next bonus is declared on July 15. The contract states that a bonus of $30 per $1,000 of basic sum assured attaches only to policies in force on July 15 and is payable on a later death claim. It provides no interim bonus for a death before July 15. Compare the death benefit for a claim on July 10 with one on July 20, assuming the policy remains in force until the claim.
Method. Apply the effective date and eligibility condition before calculating the bonus amount. There are \(75{,}000/1{,}000=75\) units of basic sum assured, so a qualifying declaration adds \(75 \times \$30=\$2{,}250\).
For a July 10 claim, the declaration has not yet occurred. The stipulated absence of an interim bonus means the benefit is only the basic sum assured plus the previously declared additions:
For a July 20 claim, the policy was in force on July 15, so the $2,250 addition attaches and is included in the death benefit:
A further future rate, if shown in a projection, would not be added unless it was subsequently declared under the policy terms. Common mistake: treating the July 1 anniversary as if the July 15 declaration had already taken effect. The dates and eligibility rule, not the projected annual scale, determine which calculation applies.
Exam Checks and Common Traps
When the problem gives both declared and projected figures, keep them in separate categories before doing any arithmetic. A useful calculation sequence is to establish the benefit base, identify each actual declaration before the claim, apply the stated bonus formula, and then check the eligibility and claim conditions.
Label it declared, guaranteed by contract, or illustrative. Do not treat those descriptions as interchangeable.
Determine whether the policy meets any in-force condition and whether the claim occurs after the effective declaration date.
Use basic sum assured, accumulated benefit, or another base only as specified by the policy rule.
Show the basic benefit and each included declared addition separately. Exclude undeclared future additions from the guaranteed amount.
The distinction matters because an illustration describes a possible path, whereas a benefit calculation must follow the declarations and conditions that actually apply. A lower future declaration does not, by itself, erase an earlier addition that has already attached under the contract. Conversely, a favourable illustrated rate does not become payable merely because it was used in a statement.
A final check is to ask whether each amount in the result has a stated source: the basic benefit, a prior declared addition, or a declaration made before the claim that applies to the policy. If a term comes only from a future illustration, it should not appear in a guaranteed benefit total.
Check Your Understanding
For each problem, use only the declaration and eligibility rules stated in its hypothetical contract.
- A policy has a $90,000 basic sum assured and $7,200 of prior declared additions. A current simple bonus of $22 per $1,000 of basic sum assured is declared. A 3% rate is illustrated for future years but is not guaranteed. In the next year, an actual 1% compound bonus is declared on the then-current benefit base. The insured dies after that declaration, while the policy is in force. The compound addition applies to basic sum assured plus all existing additions. What is the death benefit? (Answer: $100,171.80)
- A hypothetical policy has a $160,000 basic sum assured. It receives four actual simple declarations of $15 per $1,000 of basic sum assured, each payable on death under the contract. No other additions apply. What is the benefit after the fourth declaration? (Answer: $169,600)
- A policy has a $60,000 basic sum assured and $4,000 of prior additions. A 5% compound bonus is declared now on the current benefit base. A later 3% rate is only illustrated and no further declaration occurs before death. What guaranteed benefit follows from these facts? (Answer: $67,200)
- A policy has a $100,000 basic sum assured and $8,000 of prior additions. A $20-per-$1,000 simple bonus is declared on June 30, but the contract says it applies only to policies in force on July 1. The policy lapses on June 30 before July 1, and the contract says no addition applies after lapse. What amount of declared bonus is included in the benefit on a later claim? (Answer: $0; the policy fails the stated July 1 in-force condition.)