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Real Interest Rates & Who Inflation Redistributes To

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The rate that matters is the real one

A nominal interest rate is the stated rate on a loan. The real interest rate subtracts inflation, and it is what actually measures the cost of borrowing and the reward for lending, because it is stated in purchasing power. Borrow at 6% while prices rise 4% and you are really paying 2% — the dollars you repay buy less than the dollars you received. The Fisher equation approximates this as real = nominal − inflation, which is accurate enough at exam-scale rates.

The Fisher equation
real rate ≈ nominal rate − inflation rate · nominal ≈ real + expected inflation
Read the second form as how lenders set rates: they add expected inflation to the real return they require.

Unanticipated inflation transfers wealth from lenders to borrowers

When inflation comes in higher than expected, the nominal rate in the contract was set too low, so the realized real rate is lower than either party planned. The borrower gains — they repay in cheaper dollars — and the lender loses. Unexpectedly low inflation reverses it: the real rate turns out higher than agreed, and the lender gains at the borrower's expense. Because government debt is a nominal contract, this makes inflation a transfer from bondholders to the government. Anyone on a fixed nominal income — a pension without indexing, a long-term lease — is on the losing side.

Anticipated inflation is much cheaper

If everyone expects 5% inflation, lenders add 5% to the rate they quote, wage contracts include it, and prices are set with it in mind. The redistribution largely disappears. What remains are real but smaller costs: shoe-leather costs from economizing on cash holdings, menu costs of repricing, and the distortion from taxes levied on nominal rather than real gains. This is why central banks care about stable, predictable inflation rather than zero inflation — predictability is what neutralizes most of the damage.

Worked example

A bank lends at a nominal 7% expecting 3% inflation. Inflation turns out to be 6%. Find the expected and realized real rates, and say who gained.

  1. 1.Expected real rate = 7% − 3% = 4%.
  2. 2.Realized real rate = 7% − 6% = 1%.
  3. 3.The bank expected 4% in purchasing power and received 1%.
  4. 4.The borrower expected to pay 4% in real terms and paid 1%.
Answer: Expected real 4%, realized real 1%. The borrower gained 3 percentage points of purchasing power at the lender's expense — the standard consequence of inflation exceeding expectations.
Watch out

Only unanticipated inflation redistributes. If the question says inflation was correctly anticipated, the nominal rate already accounts for it and the answer is that neither party gains. Read for the word "unexpected" — it is doing real work.

Checkpoint

A loan carries a nominal rate of 9% and inflation is 4%. The real interest rate is approximately:

Checkpoint

Inflation turns out much higher than anyone expected. Who benefits?

Checkpoint

Lenders come to expect 6% inflation rather than 2%. Holding the required real return constant, nominal rates will:

On the exam

When a question mentions both an interest rate and an inflation rate, decide immediately which rate it is asking about. Answering with the nominal rate when the question wanted the real one is a common and entirely avoidable loss.

Answer the 3 checkpoints as you read.

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