Task 1
0.01 x $20,000 = $200 expected annual loss.
Teacher guide
Price a fictional risk transfer
Students compare a $200 expected loss with a $280 fictional premium, explain why the extra $80 can have value, and separate expected cost from protection against an unaffordable loss.
Time
35 minutes
National topic
VI. Managing Risk
Selected outcome
Managing Risk 12-1a
Separate student view
Share or print the student handout
The student page contains the scenario, resource links, prompts, response space, and privacy boundary. It does not contain this teacher key.
Complete teacher packet
Download one printable file with preparation, the fictional scenario, checked resources, all tasks, the teacher key, evidence check, extension, and LMS post. Keep it teacher-only because it contains answers.
Download teacher packetReady-to-paste class post
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Objective and outcome
Distinguish expected loss from the value of transferring a low-probability loss a household cannot absorb.
Managing Risk 12-1a: Explain why an insurance premium can have value even when the covered loss does not occur. This is an independent selective correlation. Use the standards crosswalk for the source and claim boundary.
Teacher preparation
- Open the insurance and risk pooling guide.
- Share or print the student handout.
- State that the simplified policy omits deductibles, exclusions, limits, and claim rules on purpose.
Fictional scenario
A fictional event has a 1 percent annual chance of causing a $20,000 covered loss. A fictional policy costs $280 for the year and otherwise matches the stated loss exactly.
Checked resources
- Insurance and risk pooling
Students define expected loss and risk transfer.
- Life insurance needs calculator
Students test a second fictional loss-of-income scenario.
- Life and disability insurance guide
Students separate income replacement from property loss.
Student task sequence
- Calculate the expected annual loss as probability times loss amount.
- Compare the $280 premium with the expected loss and calculate the difference.
- Explain why paying $80 above expected loss can still have value for a household that cannot absorb $20,000.
- For a second fictional case, enter $80,000 income, 8 years, $150,000 debts, $50,000 existing cover, and $100,000 usable savings in the life insurance needs calculator.
- Name two real policy details the simplified expected-loss comparison leaves out.
Teacher key
Task 2
$280 - $200 = $80 above expected loss.
Task 3
The premium transfers a low-probability loss that may be unaffordable. Expected value alone does not measure the consequence of the worst covered outcome.
Task 4
Income replacement is $640,000. Adding $150,000 of debts and subtracting $50,000 of cover and $100,000 of savings leaves a $640,000 illustrated need.
Task 5
Acceptable details include deductibles, exclusions, limits, claim definitions, insurer strength, waiting periods, and premium changes.
Four-point evidence check
Award one point for each visible item.
- Expected loss and premium difference are calculated correctly.
- The explanation distinguishes expected cost from loss severity.
- The second scenario reconciles to the calculator.
- At least two omitted policy details are named.
Extension
Hold the premium fixed and find the loss probability at which expected loss equals $280.
Browse the other classroom lessons or build a focused set from the teacher toolkit.
This page is educational material, not financial advice. The figures come from the formula shown and assume the inputs you enter hold for the whole term. Your own rate, fees, taxes and timing will differ, so treat the output as arithmetic to check a decision against, not as a recommendation.