Imagine a scenario where the expected inflation rate is 1%, but the actual inflation rate turns out to be 4%. If the nominal interest rate remains unchanged, which statement is correct?a.The ex post real interest rate is three percentage points lower than the ex ante real interest rate.b.The economy is experiencing an episode of hyperinflation.c.Both borrowers and lenders will lose.d.Lenders will benefit, and borrowers will lose
Question
Imagine a scenario where the expected inflation rate is 1%, but the actual inflation rate turns out to be 4%. If the nominal interest rate remains unchanged, which statement is correct?a.The ex post real interest rate is three percentage points lower than the ex ante real interest rate.b.The economy is experiencing an episode of hyperinflation.c.Both borrowers and lenders will lose.d.Lenders will benefit, and borrowers will lose
Solution
The correct answer is:
a. The ex post real interest rate is three percentage points lower than the ex ante real interest rate.
Explanation:
The ex ante real interest rate is the nominal interest rate minus the expected inflation rate. In this case, if the nominal interest rate remains unchanged, the ex ante real interest rate is based on the expected inflation rate of 1%.
The ex post real interest rate is the nominal interest rate minus the actual inflation rate. In this case, the actual inflation rate is 4%.
Therefore, because the actual inflation rate is higher than expected, the ex post real interest rate is lower than the ex ante real interest rate by three percentage points.
The other options are incorrect. This scenario does not necessarily indicate hyperinflation (b), and the effects on borrowers and lenders can vary. Typically, unexpected inflation harms lenders and benefits borrowers, because borrowers repay their loans with money that is worth less than expected (d). However, this is not always the case and depends on other factors not specified in the scenario (c).
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