Step 1: Rational Expectations Hypothesis.
The rational expectations hypothesis assumes that individuals form expectations based on all available information, and these expectations are correct on average. This means that individuals' expectations of future inflation will align with actual inflation.
Step 2: The Short-Run Phillips Curve under Rational Expectations.
According to the rational expectations hypothesis, the short-run Phillips curve becomes vertical because individuals adjust their expectations of inflation. As a result, there is no trade-off between inflation and unemployment in the long run, and the short-run Phillips curve becomes vertical, coinciding with the NAIRU (Non-Accelerating Inflation Rate of Unemployment).
Step 3: Conclusion.
The short-run Phillips curve under the rational expectations hypothesis is vertical, meaning it is parallel to the vertical axis. Therefore, the correct answer is (B).