Calculator Inputs
Formula Used
Discount factor: v = 1 / (1 + i)
Death benefit present value:
NSP Death = Σ Bk × kpx × qx+k × vt
Pure endowment present value:
NSP Maturity = M × npx × vn
Endowment value: Death benefit present value + maturity benefit present value.
Net single premium: Present value of all expected benefits, before expenses, profit, and risk loading.
How to Use This Calculator
- Choose the benefit type, such as term life, whole life, pure endowment, or endowment.
- Enter the insured age, term, maximum projection age, and policy count.
- Add death benefit and maturity benefit values where needed.
- Enter the annual interest rate and optional benefit growth rate.
- Select a mortality basis or use custom mortality inputs.
- Press the calculate button. The result appears above the form.
- Review the chart, projection table, and probability values.
- Use CSV or PDF buttons to export the result.
Example Data Table
| Scenario | Age | Term | Benefit Type | Death Benefit | Maturity Benefit | Interest | Mortality |
|---|---|---|---|---|---|---|---|
| Basic term cover | 40 | 20 | Term Life | 100,000 | 0 | 4.50% | Standard |
| Savings style endowment | 35 | 25 | Endowment | 75,000 | 50,000 | 5.00% | Preferred |
| Survival benefit test | 50 | 15 | Pure Endowment | 0 | 80,000 | 3.75% | Substandard |
Net Single Premium Guide
Net Single Premium Basics
A net single premium is the present value of expected benefits. It ignores profit loading. It also ignores many office expenses. The aim is to price the promised benefit on an actuarial basis. The calculator discounts each possible benefit payment. It weights that payment by survival and death probabilities.
Why Mortality Matters
Mortality is the key risk driver. A higher death probability raises a term insurance value. It can lower a pure endowment value, because fewer lives survive to maturity. This page uses selectable illustrative mortality curves. You can also enter a custom starting qx, growth rate, and cap. That option helps test sensitivity.
Interest and Timing
The interest rate controls discounting. A higher rate reduces the present value. Benefit timing also matters. End of year payments use a full year of discounting. Mid year payments approximate claims paid during the year. Immediate timing gives less discounting, so the premium rises.
Benefit Design
The calculator supports term life, whole life, pure endowment, and endowment designs. A term life result includes only death benefits during the term. Whole life extends the projection to the selected maximum age. A pure endowment pays only when the insured survives to the end. An endowment combines death and maturity benefits.
Reading the Result
The net single premium is the main result. It is the amount needed now, before loading, to fund expected discounted benefits. The chart shows how yearly discounted cost builds over time. The table shows survival, mortality, and present value by duration. The probability figures explain whether value comes from claims, survival, or both.
Practical Use
Use this tool for education, review, and planning. Small input changes can create large premium differences. Always compare several interest and mortality assumptions. Real insurers also use underwriting, reserves, regulation, taxes, lapses, commissions, capital costs, and expense studies. Treat this output as an actuarial estimate, not a final quotation. Save each scenario with the export buttons. Then compare results beside underwriting notes and product rules. This makes assumption review clearer. Keep records of inputs, dates, and sources. Document changes before presenting results to clients, managers, or students. It supports transparent actuarial communication well.
Frequently Asked Questions
What is a net single premium?
It is the present value of expected insurance benefits. It excludes profit, commission, tax, and many expense loadings.
Is this the final premium charged by an insurer?
No. Insurers usually add expenses, capital charges, underwriting margins, taxes, commissions, and product rules before issuing a final price.
Why does a higher interest rate reduce the premium?
A higher interest rate increases discounting. Future benefit payments need less money today, so the present value usually falls.
Why does mortality affect products differently?
Higher mortality raises death benefit costs. It can reduce pure endowment costs because fewer insured lives survive to receive maturity payments.
What does mid year payment timing mean?
It assumes claims are paid around the middle of each policy year. This often approximates actual claim timing better than year-end payment.
Can I use custom mortality assumptions?
Yes. Select custom mortality. Then enter starting qx, annual mortality growth, and the maximum mortality cap.
What is the loaded single premium?
It is an illustrative figure that adds fixed expenses and percentage loading. The true net premium remains before those additions.
Can this calculator compare scenarios?
Yes. Change one assumption at a time. Export each result as CSV or PDF, then compare the saved files.