Introduction
A universal life policyholder facing a premium or account-value problem may have to decide whether to surrender the policy, make a payment during a grace period, or allow coverage to end. These choices involve different quantities: surrender proceeds are a payment now, while account value is a policy amount that may support future charges and coverage. A comparison is useful only when the contract’s charge, payment and timing rules are applied consistently.
The calculations below use hypothetical contract terms. Universal life contracts do not all apply charges, loans, grace-period payments or termination proceeds in the same way. The stated contract rules govern each example; they should not be replaced by an assumed industry-wide rule.
Keep the Account Projection Separate From Surrender Proceeds
To project an account, first identify the contract’s transaction order. For example, a contract may credit interest and then deduct monthly charges. Under that specific ordering, with no premium or withdrawal, the next account value is
where \(j\) is the effective crediting rate for the period and \(C_{t+1}\) is the total charge deducted at the end of that period. This recurrence assumes the account can fund the deductions. If it cannot, the account shortfall and any grace-period provisions must be handled explicitly; continuing the recurrence into negative account values is not automatically valid.
A surrender charge is not a monthly cost of insurance charge. It is deducted in determining proceeds when the policy is surrendered, according to the contract’s schedule. A charge for continuing coverage, by contrast, reduces account value as specified by the contract’s periodic deduction rules.
Worked Example: Immediate Surrender or One More Month of Coverage?
A hypothetical policy has an account value of $12,000 immediately before the next monthly credit. At this date, its surrender charge is $900 and policy debt is $200. If the policy continues, the contract credits 0.25% for the month and then deducts $410 for cost of insurance and $25 for administration. There is no premium or withdrawal. Calculate the surrender proceeds and the account value after one month of continuation.
Method. Calculate the termination payment using the surrender terms, then make a separate account projection using the stated monthly transaction order.
Surrender now. Subtract the surrender charge and policy debt from the account value:
The policyholder receives $10,900 under the stated surrender rule.
Continue for one month. The monthly interest credit is $$ 12{,}000(0.0025)=30. $$ The total monthly deductions are $$ 410+25=435. $$ Therefore, the projected account value is $$ 12{,}000+30-435=11{,}595. $$ After one month, the account value is $11,595, and the policy has provided the stated coverage during that month, assuming no other contract event.
Check and common mistake. The account projection reconciles as opening account value plus $30 interest less $435 in charges. A common mistake is to subtract the $900 surrender charge from the continuation projection as though it were a monthly deduction. It is not part of this projection under the stated terms. The $10,900 immediate payment and the $11,595 future account value are also not equivalent measures: one is cash paid on surrender; the other remains in a policy with coverage and future charges.
Why the Surrender Formula Is a Ledger Calculation
The proceeds formula follows from the contract’s stated settlement ledger. Start with the amount held in the account. If the contract retains a surrender charge and uses part of the account to repay policy debt, the amount left for payment is the account value less those two amounts. If deductions exceed the account value, proceeds cannot be negative under this formula, so the payable amount is floored at zero.
The formula is therefore conditional on the settlement terms, not a general claim that every policy uses the same deductions or floor. In particular, do not add policy debt to proceeds: debt is a liability to be repaid, so it reduces the amount available to the policyholder.
Worked Example: Finding the Payment Needed During a Grace Period
A hypothetical contract has an account value of $500 immediately before a scheduled monthly deduction of $650. The deduction cannot be fully made, leaving a $150 shortfall. The contract provides a 31-day grace period. Under the stated terms, coverage continues during that period, and to cure the shortfall by the deadline the policyholder must pay both the $150 unpaid amount and enough to fund the next scheduled monthly deduction of $650. Payments are applied first to the shortfall; there is no interest credit during the grace period. Find the required payment and show what remains for the next monthly deduction.
Method. Separate the amount already unpaid from the amount needed for the next scheduled deduction.
The current shortfall is $$ 650-500=150. $$ The required payment is the shortfall plus the next monthly deduction: $$ 150+650=800. $$ After the $800 payment, $150 settles the existing shortfall, leaving $$ 800-150=650 $$ to fund the next scheduled deduction. When that deduction is made, the remaining amount is $$ 650-650=0. $$ Thus, the required payment under these particular terms is $800. The policy can meet the next scheduled deduction exactly; this calculation does not provide funds for any later monthly deduction.
Check and common mistake. The $500 account did not cover the $650 charge, so the shortfall is $150, not $650. Paying only $650 would leave $500 after the shortfall is settled, which is $150 short of the next deduction. A grace period is a period with specified coverage and payment conditions; it does not mean that an account shortfall disappears or that every contract uses this same cure formula.
When the Account Is Insufficient
When a scheduled deduction exceeds the available account value, the contract’s grace-period and lapse terms determine what happens next. A calculation should distinguish at least three amounts: the account value at the shortfall date, the amount overdue or otherwise needed to cure the shortfall, and any additional amount required to keep the policy funded for a later deduction. The terms may specify a payment deadline, the order in which payments are applied, whether coverage continues during grace, and how the policy terminates if the required payment is not received.
A useful way to organize a case is to trace the timeline rather than infer the outcome from a negative account balance:
Compare the charge due with the account funds available under the contract’s transaction order.
Record the amount not funded. Do not treat the account as if it can automatically become negative.
Use the stated deadline, coverage rule, payment allocation and cure amount.
If the payment condition is met, update the account as stipulated. If it is not, apply the stated lapse or termination terms.
Worked Example: Compare Surrender During Grace With Funding Continued Coverage
A hypothetical policy has an account value of $850 when a $900 monthly charge is due. Its grace period is 30 days, and the account is held at $850 during grace if the deduction cannot be made. The contract states that coverage remains in force during grace. To cure the shortfall and fund the next $900 monthly deduction, the policyholder must pay the current shortfall plus $900 by the deadline. The surrender charge is $250, there is no policy debt, and if the policy lapses without a cure payment, the contract pays the account value less that surrender charge. Compare surrender proceeds with the payment required to continue coverage through the next scheduled deduction.
Method. Calculate the shortfall, then evaluate the two choices under their separate contract terms.
The current shortfall is $$ 900-850=50. $$ The payment required to cure and fund the next deduction is $$ 50+900=950. $$ If the policyholder pays $950, $50 addresses the current shortfall and $900 is available for the next scheduled deduction. Once that deduction is made, no account value remains from those funds. The policy has met the stated funding requirement through that deduction, but further coverage would require further funding under the contract.
If the policyholder instead surrenders during grace, proceeds are $$ 850-250=600. $$ If no cure payment is made and the contract lapses at the end of grace, the stipulated termination payment is also $$ 850-250=600. $$ Under these terms, surrender during grace yields $600 now; continuing through the next scheduled deduction requires a $950 payment and preserves the stated coverage through that date. These figures do not establish which choice is preferable for a particular policyholder. They identify the immediate payment and the specified coverage horizon.
Check and common mistake. The $950 is not the surrender value, and the $600 is not a premium that restores coverage. A common error is to subtract the surrender charge from the account and then also subtract the $900 monthly charge to calculate surrender proceeds. Here the stipulated termination payment uses account value less surrender charge; the unfunded monthly deduction is handled by the separate grace and lapse terms.
Making a Fair Comparison
A sound comparison states the date and the measure being compared. Immediate surrender proceeds can be compared with the amount of a required grace-period payment, or with an account value projected to a future date, but those figures answer different questions. If continuing coverage is part of the decision, state how long coverage is maintained under the assumed payment and what account value remains after charges. Do not describe the projected account as cash available to the policyholder unless the contract says it can be withdrawn on those terms.
Before finalizing a calculation, check the contract assumptions and arithmetic:
- Use the surrender charge at the actual surrender date, not a charge from a different duration or policy year.
- Subtract policy debt only if the stipulated settlement terms require it, and subtract rather than add it.
- Follow the stated order of interest credits, premiums, withdrawals and charges.
- Calculate a shortfall before determining the payment required during grace.
- Apply the stated lapse and termination rules; do not continue an account projection below zero without contractual support.
The essential discipline is to keep three outcomes distinct: cash paid on surrender, account value under continuation, and coverage during a stated period. This approach is aligned with the SOA Exam ALTAM (Advanced Long-Term Actuarial Mathematics) syllabus because it requires careful application of policy mechanics, timing and contract conditions.
Check Your Understanding
Use only the stated hypothetical contract terms in each problem.
- A policy has an account value of $7,600, a surrender charge equal to 4% of account value, and policy debt of $96. The contract deducts both amounts from the account on surrender. Calculate the surrender proceeds. (Answer: $7,200)
- A policy has an account value of $1,500 immediately before a monthly credit of 0.4%. The contract then deducts $280 for insurance and $20 for administration. There is no premium or withdrawal, and the account can fund all charges. Calculate the account value after the month. (Answer: $1,206)
- A scheduled $310 deduction is due when the account has $240. Under the contract’s grace terms, a payment must cover the current shortfall and a full $310 next deduction. Calculate the required payment. If the policyholder pays $360, how much will be available toward that next deduction after settling the shortfall, and what shortfall remains? (Answer: Required payment $380; $290 available; $20 shortfall)
- A policy has an account value of $2,400, surrender charge equal to 6% of account value, and policy debt of $100. If it continues for one month, the account earns a 0.5% monthly credit and then incurs $390 of charges. Calculate immediate surrender proceeds and the next month-end account value if it continues, assuming all charges are funded. (Answer: Surrender proceeds $2,156; next account value $2,022)