A decline in a nominal policy benchmark does not establish that a firm's real financing cost has fallen. The borrower may face a different credit spread, a different repricing date or a different expectation of inflation over the repayment horizon. Those elements must be matched before a comparison of financing conditions is meaningful.
The Bundesbank's description of expected real interest rates pairs nominal yields with inflation expectations for the corresponding term. That horizon discipline is equally relevant to Brazilian borrowing analysis. The calculations below are hypothetical and do not report a Selic setting, a Brazilian lending rate or a survey forecast.
State which real rate is being calculated
For a one-period loan with nominal interest rate i and a specified expected price increase πe, a simple purchasing-power calculation gives:
re=1+πe1+i−1.The familiar subtraction i−πe is an approximation. With uncertain inflation, this expression using one stated expectation is a simplified ex-ante calculation, not a complete valuation of inflation risk.
Suppose a nominal benchmark is 12 percent and the expected price increase over the same year is 4 percent. The illustrated real benchmark is 1.12/1.04 − 1, or about 7.69 percent. A company borrowing at 18 percent faces an illustrated real loan rate of 13.46 percent under the same price assumption. The nominal credit spread is 6 percentage points, but the corresponding real-rate difference is about 5.77 percentage points.
Now assume the benchmark falls to 11 percent while the borrower's spread increases from 6 to 8 percentage points. Its nominal loan rate rises to 19 percent. With expected inflation still at 4 percent, the illustrated real borrowing rate rises to 14.42 percent. The company faces more expensive financing despite the lower policy benchmark.