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CFA Level I · CFA Level I Exam · Credit Analysis for Government Issuers

A sovereign's government debt is 90% of GDP, and nominal GDP is expected to grow 4% a year. If the government runs a primary balance of zero and pays an average interest rate of 5% on its debt, the debt-to-GDP ratio next year is closest to:

The ratio is closest to 90.9%. Debt rises from 90 to 94.5 because of 5% interest with no primary surplus, while GDP rises from 100 to 104. Dividing 94.5 by 104 gives about 90.9%, so the ratio drifts upward when interest exceeds growth.

  1. A90.0%
  2. B90.9%Correct
  3. C93.6%

Explanation

With zero primary balance, debt grows by interest: 90 × 1.05 = 94.5 of the original GDP of 100. GDP becomes 104. Ratio = 94.5/104 = 90.87%, about 90.9%. The 93.6% figure ignores GDP growth in the wrong way (90×1.04), and 90.0% assumes stable ratio.

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