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IAI Actuarial Core Principles · Business Economics · Pricing strategies in the financial services sector

A monopolist insurer sells to two segments with MC = Rs 200 constant. Segment A has demand P = 1,000 - 2Q and Segment B has demand P = 600 - Q. Under third-degree price discrimination, what is the profit-maximising price in Segment A?

The Segment A price is Rs 600. Marginal revenue is 1,000 minus 4Q; equating it to marginal cost of 200 gives Q of 200, and substituting into the demand curve gives a price of 600.

  1. ARs 600Correct
  2. BRs 500
  3. CRs 400
  4. DRs 700
  5. Rs 300

Explanation

For A, MR = 1,000 - 4Q. Setting this equal to 200 gives Q = 200. Then P = 1,000 - 400 = 600. Check: for B, MR = 600 - 2Q = 200 gives Q = 200 and P = 400. Rs 400 is the Segment B price, not A's.

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