Pearson Edexcel International Advanced Level Economics: Fiscal deficits and debt (YEC11) – Revision Notes

These notes condense section 4.3.5, item 3 (a to c) of the Pearson Edexcel International Advanced Subsidiary/Advanced Level in Economics (YEC11) specification, Issue 2, June 2018. Unit 4 is International A2 content, compulsory for the full International Advanced Level only. For full explanations use the study guide. Test yourself with the practice questions, then tick off the checklist. The course hub lists the other units, the multiplier and output gaps explains output gaps, and the free diagnostics show where to focus. All figures are invented.

Definitions

Term	Meaning
Fiscal balance	Government revenue minus spending in a period
Fiscal deficit	Spending exceeds revenue; the gap is borrowed (a flow)
Fiscal surplus	Revenue exceeds spending; can repay debt (a flow)
Primary balance	Revenue minus spending excluding interest payments
National debt	Total owed by the government at a point in time (a stock)
Automatic stabilisers	Tax and benefit rules that change the balance as output changes, with no decision
Discretionary fiscal policy	Deliberate change to tax rates, spending or benefits
Cyclical deficit	The part due to output below potential; disappears at potential
Structural deficit	The part that remains with output at potential
Debt servicing	Interest paid on the debt
Intergenerational equity	Fairness between generations in who pays for and who gains from government spending

Formulas

Measure	Formula
Fiscal balance	Revenue - total spending
Primary balance	Revenue - spending excluding interest
Interest payment	Average rate x debt
Deficit ratio	Deficit / GDP x 100
Debt ratio	Debt / GDP x 100
New debt	Old debt + deficit (or - surplus)
Output gap	(Actual - potential) / potential x 100
Cyclical deficit	Automatic response per unit of gap x size of gap
Structural deficit	Total deficit - cyclical deficit
Interest burden	Interest / revenue x 100
Stabilising primary surplus	d(r - g)/(1 + g), as a share of GDP

Method boxes

Splitting a deficit into cyclical and structural

1. Find the output gap in units: potential minus actual.
2. Multiply by the automatic response (tax rate share plus benefit share).
3. That product is the cyclical deficit.
4. Subtract it from the total deficit. The remainder is structural.
5. Divide by potential output for the cyclically adjusted ratio.

Debt servicing after refinancing

1. Work out the old interest bill: rate x debt.
2. Find the amount refinanced and the new rate.
3. Add new interest on that part to old interest on the rest.
4. Compare with revenue or with the deficit.

Worked reminders (Country T, illustrative)

Revenue 450, non-interest spending 440, debt 600 at 5%, GDP 1,500.

Interest         = 0.05 x 600 = 30
Total spending   = 440 + 30 = 470
Balance          = 450 - 470 = -20  (1.33% of GDP)
Primary balance  = 450 - 440 = +10  (a primary surplus)
New debt         = 600 + 20 = 620
Debt ratio       = 40.0%; with GDP up 3% to 1,545, 620 / 1,545 = 40.1%

The headline deficit coexists with a primary surplus, so the deficit is entirely the cost of interest. Now add cycle information: potential output is 1,600, so the gap is -100 (-6.25% of potential). The automatic response is 0.4, so the cyclical deficit is 40. The cyclically adjusted balance is -20 + 40 = +20, a structural surplus of 1.25% of potential output. A deficit that looks worrying is hiding a sound underlying position, and the weak economy is the cause.

Debt dynamics reminder

The ratio is stable when the primary surplus equals d(r - g)/(1 + g). With d = 0.60, r = 4% and g = 3%: 0.60 x 0.01 / 1.03 = 0.58% of GDP. If r were 6%, the figure would be 0.60 x 0.03 / 1.03 = 1.75% of GDP. When r is below g, the ratio can fall even with a small primary deficit. The sketch shows the logic.

Interest rate above growth (r > g):  debt grows faster than GDP
                                      -> primary surplus needed to hold the ratio
Interest rate below growth (r < g):  GDP grows faster than debt
                                      -> small primary deficit still stable

Cycle sketch

Output vs potential      Total deficit    Cyclical part    Structural part
Boom (above potential)   smaller          negative         unchanged
At potential             = structural     zero             all of it
Slump (below potential)  larger           positive         unchanged

The structural part changes only with policy or with lasting change in potential output.

Must-know distinctions

Pair	Key difference
Deficit and debt	Flow in a year versus stock built over years
Automatic and discretionary	No decision and no lag versus a decision with lags
Cyclical and structural	Goes away with recovery versus remains at potential
Primary and total balance	Excludes versus includes interest on past borrowing
Debt in value and debt ratio	Raw amount versus amount relative to GDP
Domestic and foreign holders	Interest stays in the economy versus leaves it

Factors influencing deficits and debts (3b)

• The cycle: slumps raise the deficit through the stabilisers.
• Trend growth of potential output.
• Interest rates and the stock of debt already owed.
• Ageing populations: pensions, health and care.
• Policy choices on tax and spending, including capital projects.
• One-off shocks: rescuing banks, war, disasters.
• A narrow tax base, evasion or a large informal economy.
• Reliance on volatile revenue such as commodity income.
• Inflation, which raises nominal GDP and lowers the real value of fixed-rate debt, but may raise new borrowing costs.

Significance (3c)

Interest rates. Borrowing raises demand for loanable funds, so rates may rise. Chain: more borrowing, higher demand for funds, higher interest rates, less private investment (crowding out), lower future growth. Weaker when savings are plentiful or private demand is weak. A risk premium appears if lenders doubt repayment.

Debt servicing. Interest takes revenue from other uses (opportunity cost). Rises when debt is refinanced at higher rates, so maturity matters. Foreign-held or foreign-currency debt adds outflows and exchange-rate risk.

Intergenerational equity. Future taxpayers repay today’s borrowing. It is fairer when funding assets they use (road with benefits above interest cost) than when funding current consumption. Spare capacity in a slump is a counter-argument: borrowing may prevent damage to the same generation.

Evaluation tests. Level and trend of the ratio; interest rate against growth; who holds the debt; maturity and currency; purpose of borrowing; cyclical or structural; stage of the cycle.

Quick self-test

1. Define the national debt.
2. A government has revenue of 300 and total spending of 318. State the fiscal balance.
3. Its debt was 500 at the start of the year. What is the debt at the end?
4. GDP is 1,400. Find the debt ratio at the end of the year.
5. Is the fiscal deficit a stock or a flow?
6. Benefit payments rise automatically when unemployment rises. Is this automatic or discretionary?
7. The output gap is 80 and the automatic response is 0.35. Find the cyclical deficit.
8. Debt is 800 at an average 4%, and revenue is 400. Find interest as a share of revenue.
9. Give two factors that could widen a deficit.
10. A country has d = 70%, r = 3% and g = 3%. What primary balance keeps the ratio stable?
11. Why might borrowing for a hospital be fairer between generations than borrowing for a one-off tax rebate?

Answers

1. The total amount the government owes at a point in time, built up from past borrowing.
2. 300 - 318 = -18, a deficit of 18.
3. 500 + 18 = 518.
4. 518 / 1,400 = 37.0%.
5. A flow, measured over a period. The debt is the stock.
6. Automatic: it needs no new decision.
7. 0.35 x 80 = 28.
8. Interest = 0.04 x 800 = 32. 32 / 400 = 8%.
9. Any two: a recession, an older population, a rise in interest rates, a tax cut, a financial rescue, falling commodity revenue.
10. d(r - g)/(1 + g) = 0.70 x 0 / 1.03 = 0: a primary balance of zero.
11. The hospital gives lasting benefits to later generations who pay the interest. A rebate benefits today’s households and leaves later taxpayers with the cost and no asset.

Writing an evaluation

Start with the claim, give one chain of reasoning, then test it. Example for “a high debt is a serious problem”: a large debt means large interest payments, which cut spending elsewhere or force tax rises. Test it against the conditions: if interest rates are below nominal growth, the ratio can fall without austerity; if the debt is held by domestic savers, interest stays in the economy; if it financed assets that raise output, the burden on later generations is lower. Finish with a judgement that names the condition that decides it, such as the gap between r and g.

Where marks are usually lost

• Using debt and deficit as if they were the same measure.
• Giving a deficit in cash terms only, with no ratio to GDP.
• Writing that stabilisers are “government policies”.
• Saying a cyclical deficit needs a tax rise, when recovery would reduce it.
• Calculating the cyclical part from actual output when the question gives potential output.
• Stating crowding out with no link through interest rates.
• Treating all debt as harmful without asking who holds it and what it financed.
• Concluding with “it depends” and no stated condition.

Official syllabus

Pearson Edexcel International Advanced Subsidiary/Advanced Level in Economics (YEC11), Specification, Issue 2, June 2018, first teaching September 2018, published by Pearson Education Limited. Section 4.3.5, item 3 (a to c).