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FRM Part II · FRM Exam Part II · Monetary and Fiscal Policy: Safeguarding Stability and Trust

A sovereign has debt of 100% of GDP, an average interest rate of 4%, and nominal GDP growth of 2%. Ignoring the (1+g) denominator and using the approximation that the required primary surplus equals (r - g) times the debt ratio, what primary surplus, as a percent of GDP, is needed to keep the debt ratio stable?

The sovereign needs a primary surplus of about 2% of GDP. To stabilise the ratio, the surplus must offset the excess of the interest rate over nominal growth applied to the debt stock: (4% minus 2%) times 100% of GDP equals 2% of GDP.

  1. A2.0%Correct
  2. B4.0%
  3. C6.0%
  4. D1.0%

Explanation

Required primary balance = (r - g) × d = (4% - 2%) × 100% = 2% of GDP. Using r alone gives 4%, which ignores growth eroding the ratio. Adding r and g gives 6%, a sign error.

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