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Managing to Discount
                        An Example of Goodhart’s Law
The Nation’s Largest Catholic University
Chicago, IL
Goodhart’s Law: Two Interpretations


• Any observed statistical regularity will tend to
  collapse once pressure is placed upon it for
  control purposes.
• When a measure becomes a target, it ceases to
  be a good measure.
Assumed Goal: Keep Discount
                    Rate Flat

The Nation’s Largest Catholic University
Chicago, IL
An Exercise In Discount at College X

•   Tuition is $40,000 per year
•   Discount rate is 30%
•   Net revenue per student is $28,000
•   Inflation in next year is 5% ($42,000 expected)
•   College X raises tuition 10% ($44,000)

• To keep discount flat, 30% of marginal $4,000 in
  gross revenue should go to aid
An Exercise In Discount at College X

• But doing so results in an average net cost
  increase of 10% (vs. 5% inflation): from $28,000
  to $30,800. (Market would expect $29,400)
• But raising net cost 10% in a 5% inflation year
  probably reduces enrollment and thus total
  revenue
• A market driven Alternative: Discount the
  inflation-adjustment ($2,000) 30%; discount the
  excess over CPI ($2,000) 50%.
An Exercise In Discount at College X

• The Results of the Alternative:
  – Marginal Discount = 40%
  – Better position on the demand curve (although
    admittedly still riskier than a pure CPI-based increase)
  – Overall Discount = 31% (Up 1%)
  – Revenue Per Student = $30,400 (Up 8.5%)
  – Inflation up 5%
• You have increased discount and increased
  average net revenue; total is subject to enrollment
An Exercise In Discount at College X

• The Results of the Alternative:
  – Marginal Discount = 40%
  – Better position on the demand curve (although
    admittedly still riskier than a pure CPI-based increase)
  – Overall Discount = 31% (Up 1%)
  – Revenue Per Student = $30,400 (Up 8.5%)
  – Inflation up 5%
• You have increased discount and increased
  average net revenue; total is subject to enrollment

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An exercise in discount at college x goodhart

  • 1. Managing to Discount An Example of Goodhart’s Law The Nation’s Largest Catholic University Chicago, IL
  • 2. Goodhart’s Law: Two Interpretations • Any observed statistical regularity will tend to collapse once pressure is placed upon it for control purposes. • When a measure becomes a target, it ceases to be a good measure.
  • 3. Assumed Goal: Keep Discount Rate Flat The Nation’s Largest Catholic University Chicago, IL
  • 4. An Exercise In Discount at College X • Tuition is $40,000 per year • Discount rate is 30% • Net revenue per student is $28,000 • Inflation in next year is 5% ($42,000 expected) • College X raises tuition 10% ($44,000) • To keep discount flat, 30% of marginal $4,000 in gross revenue should go to aid
  • 5. An Exercise In Discount at College X • But doing so results in an average net cost increase of 10% (vs. 5% inflation): from $28,000 to $30,800. (Market would expect $29,400) • But raising net cost 10% in a 5% inflation year probably reduces enrollment and thus total revenue • A market driven Alternative: Discount the inflation-adjustment ($2,000) 30%; discount the excess over CPI ($2,000) 50%.
  • 6. An Exercise In Discount at College X • The Results of the Alternative: – Marginal Discount = 40% – Better position on the demand curve (although admittedly still riskier than a pure CPI-based increase) – Overall Discount = 31% (Up 1%) – Revenue Per Student = $30,400 (Up 8.5%) – Inflation up 5% • You have increased discount and increased average net revenue; total is subject to enrollment
  • 7. An Exercise In Discount at College X • The Results of the Alternative: – Marginal Discount = 40% – Better position on the demand curve (although admittedly still riskier than a pure CPI-based increase) – Overall Discount = 31% (Up 1%) – Revenue Per Student = $30,400 (Up 8.5%) – Inflation up 5% • You have increased discount and increased average net revenue; total is subject to enrollment