Your budget sheet sells you a policy: $500,000 a race for $1,250,000 every time a car retires. Is that a good deal? This week you price it, and learn what to do when the price is wrong.
Learning objectives. After this week you can (1) compute expected loss and a fair premium; (2) define moral hazard and adverse selection; and (3) size a self-insurance reserve.
Remember this: insure the loss that could end you. Absorb the ones you can afford.
1) Expected loss and the fair premium
Expected Loss = Probability of loss × Size of loss
A car that doesn't finish (a DNF) scores no points and wins no prize money. Say your team puts the chance of a DNF at 10% a race and the cost at $3,000,000 of lost Winnings. Expected loss = 0.10 × 3,000,000 = $300,000 a race. A premium of exactly that is actuarially fair. Real insurers add a loading for costs and profit: with a 20% loading the quote is $360,000.
Why pay more than fair? Insurers pool many independent risks so their total claims become predictable. You can't pool one car. Risks that strike together, like one crash that collects several cars, are much harder to pool.
2) The catch: incentives
- Moral hazard: being insured changes behavior. A fully covered team takes bigger risks, because someone else pays for the crash. Deductibles make the insured keep the first slice of every loss.
- Adverse selection: the riskiest customers want coverage most. If the insurer can't tell careful teams from reckless ones, the pool fills up with risk-takers.
3) Your race insurance, and self-insurance
Your budget form states the policy's terms: a $500,000 premium per car per race buys full cover, which pays $1,250,000 for each of your cars that does not finish. A smaller premium buys proportionally less cover, and more buys nothing extra. A claim shows up in Winnings on your Race Report.
Read the fine print too. Full claims need at least $1,000,000 of spare parts per car, and a car run on less is paid in proportion. That clause is the insurer's answer to moral hazard: without it, a team could stop maintaining its car, retire every week and collect.
Price it with section 1. At a 10% DNF chance the fair premium is 0.10 × 1,250,000 = $125,000, so the $500,000 policy carries a $375,000 loading. That is normal: you pay extra to make a bad Saturday survivable, not to make money. Whether it is worth it depends on your DNF chance and on whether your bank could absorb a race that paid nothing. Insurance pays after a retirement; it does not prevent one. The levers that reduce DNFs are the ones the budget panel ties to reliability: the spare parts budget ("underfund this and the car retires") and the Reliability Focus R&D package.
When real insurance isn't on offer, a business self-insures: it keeps a reserve big enough to absorb the loss. Example: a team plans $8M a race. Its worst ordinary Saturday is $8M spent and $0 back. To fund the next race anyway, it needs a ring-fenced reserve of at least $8M.
4) Four ways to handle any risk
Avoid it, reduce it (spend on prevention), retain it (pay small, frequent losses from reserves), or transfer it (insure rare, catastrophic losses).
Quick self-check
(a) A 10% chance of losing $3,000,000: expected loss? (b) A fully insured team starts taking bigger risks. What is that called? (c) Spending on spare parts so the car is less likely to retire is which of the four responses? (Answers: $300,000; moral hazard; reduce.)
Common mistakes
- Buying the line item, not the coverage. Know what a premium pays for before funding it.
- Judging a premium by hindsight. A crash-free year doesn't make the premium a mistake.
- Spending the reserve. A reserve you raid for R&D protects nothing.
This week in the arena
Estimate your team's DNF chance per race from your reports so far, put a dollar size on the loss using your average Winnings, and compute your expected loss. Then check your bank: could you fund the next race after a Saturday that paid nothing?