Classwork 14

Flood Insurance Choices

Author

Byeong-Hak Choe

Published

December 8, 2025

Modified

December 8, 2025

Scenario ๐ŸŒง๏ธ

Imagine you own a house next to a river.

  • Each year, there is a 5% chance of a major flood.
  • If a flood hits, your house suffers $200,000 in damage.

You are considering three options:

  1. No insurance
  2. Partial, subsidized insurance
  3. Full, risk-based insurance

The Options ๐Ÿงฎ

Flood probability: \(5\%\) per year
Damage if flood: $200,000

\[ (\text{Expected annual loss if uninsured}) = 0.05 \times 200,000 = \$10,000. \]

Here are your choices:

Option Annual Premium You Pay If Flood Description
A $0 $200,000 No Insurance
B $500 $50,000 Partial Insurance (substantial loss remains)
C $2,000 $1,000 Full Insurance (tiny deductible)

Your Decision โœ‹

Question: Which option would you choose?

  • Raise your hand for:
    • Option A โ€“ No insurance
    • Option B โ€“ Partial insurance (subsidized NFIP-style insurance)
    • Option C โ€“ Full insurance

Quick Reflection ๐Ÿ’ญ

  • If you chose Option A (No insurance):
    • Why did you feel comfortable taking that risk?
    • Did the 5% probability feel โ€œsmall enoughโ€ to ignore?
  • If you chose Option B (Partial insurance):
    • Why did this balance of premium + loss feel best to you?
    • How does the subsidy (cheap premium) affect your choice?
  • If you chose Option C (Full insurance):
    • Why are you willing to pay more each year?
    • How much do you value peace of mind?
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