Lab 2: Medical Insurance, High vs Low Deductible
Students around University of California, Riverside often compare health plans (e.g., via parents insurance, marketplace plans, or graduate student plans). Consider a local clinic that sees patients from two insurance plan types:
- HD (High-Deductible plan): patients are more cost-sensitive when paying out-of-pocket. This plan is usually in HMO network.
- LD (Low-Deductible plan): patients are less cost-sensitive (lower cost-sharing). This plan is usually in PPO network.
The clinics resource cost per visit is the same regardless of plan:
(Think: doctor time, labs, suppliessame cost on average.)
The clinic can negotiate different patient copays (out-of-pocket price per visit) by plan type.
You have weekly data on:
- P= copay per visit (USD)
- Q= number of visits per week (units: visits/week)
You will need to prepare a report including the following information.
1. (2 pts)Estimate demand separately for HD and LD by running two regressions:
2. (2 pts) Calculate Price discrimination (two copays): choose
and
separately. What are the copays respectively? Calculate the profit.
3. (2 pts) Decide One copay policy: choose one copay for both groups. Calculate the profit.
4. (4 pts)Policy discussion: What if the clinic serves only the LD market (or only the HD market) by only be in PPO network? When might that be optimal?
(Bonus 2 pts) Bonus Question:
Incentive Compatibility via Importing Care (Out-of-network / cash-pay loophole)
Some LD patients try to act like HD by using a workaround: cash-pay telehealth or out-of-network billing to face a lower out-of-pocket price.
Let the clinic set two copays: and with .
Suppose an LD patient can instead access the HD-priced channel but must pay:
- Express admin fee (time + paperwork + portal fee)
- Tax / surcharge rate applied to (copay + fee)
Please justify the Express admin fee . Assuming Tax/surcharge rate is still 10%.

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