Practical guide
Understanding deductible trade-off — target annual premium at option a
Everyday editorial team · GEOINNOVATION CO., LTD · Published · Updated
What this calculation is for
A deductible comparison trades a known premium against possible out-of-pocket claims. A cheaper premium is not automatically the lower total cost when a household cannot comfortably fund a large deductible.
How the method works
Each option adds annual premium to the modeled cost of the entered claims, capped at its deductible for each covered claim. The average claim size and claim count make the risk scenario explicit. The displayed model uses: Annual premium + expected claim frequency × min(claim size, deductible exposure) for each option.
A worked example
For an illustrative deductible trade-off scenario, use Annual premium at option A: 1600 $; Annual premium at option B: 1250 $; Option A deductible: 500 $; Option B deductible: 2000 $; Expected covered claims per year: 0.5 claims; Average covered claim size: 4000 $. The modeled lower estimated annual cost is $1,850. These are example assumptions, not current prices, official benefit amounts or personalized advice.
Assumptions and real-world differences
Coverage limits, exclusions, claim frequency, per-event versus annual deductibles and insurer rules can differ. The result is a chosen claims scenario, not a probability-weighted quote. Expected-value comparison only; exclusions, claim severity and insurer pricing are not modeled.
Solving for annual premium at option a
This reverse calculation searches for a annual premium at option a that makes the model’s headline measure approach your target. Set a lower and upper search bound, leave the other assumptions consistent, and inspect the achieved result and target difference. The returned number is an input, not the original model’s output. A bounded solution can be approximate when the allowed input step rounds values.
Reproduce this tool’s example
These fixed example inputs are independent of edits you make above. Enter them in this tool to reproduce the result, then replace them with your own assumptions.
- Target: lower estimated annual cost
- 1,850 $
- Minimum annual premium at option a
- 800 $
- Maximum annual premium at option a
- 2,400 $
- Annual premium at option B
- 1,250 $
- Option A deductible
- 500 $
- Option B deductible
- 2,000 $
- Expected covered claims per year
- 0.5 claims
- Average covered claim size
- 4,000 $
Required annual premium at option a: $1,600
Closest modeled result: $1,850.
- Target headline value: 1,850
- Calculated headline value: $1,850
- Absolute target difference: 0
Frequently asked questions
- Why can a claim-size change leave the result unchanged?
- Once the modeled claim already exceeds both deductibles, a larger claim need not increase the deductible amounts paid.
- Which inputs should I check before using this deductible trade-off estimate?
- Check annual premium at option a, annual premium at option b, option a deductible, option b deductible, expected covered claims per year, average covered claim size. Match each field’s unit and time period, then compare the detailed rows rather than treating the headline alone as the complete answer.
- Why might there be no exact required annual premium at option a?
- The target may be outside the search range. Rounded outputs, whole-item counts, tax thresholds and flat responses can also prevent an exact solution. Bisection requires a monotonic response within the chosen range; do not interpret a failed search as a real-world impossibility.