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Inflation and Interest Rate Relationship

IMFEasyStatistics & Probability00:00
IMF
Your interviewer · Financial Analyst
In session
Interviewer

Welcome to your interview for the Financial Analyst role at IMF.

The question is on your right: Inflation and Interest Rate Relationship. Take a moment with it first.

Talk your thinking through with me if you like - when you're confident, submit your answer and I'll grade it like a real screen. You have three graded attempts to score 7/10 or better.

Only Submit answer is graded - discussion is free practice.

Problem

Business Context

NorthBridge Capital is reviewing whether central bank policy rates move in line with inflation. The research team wants a simple statistical analysis using recent monthly macro data.

Problem Statement

Use the data below to quantify and test the relationship between monthly inflation and the central bank policy interest rate. Treat inflation as the explanatory variable and interest rate as the response variable.

Given Data

MonthInflation Rate (%)Policy Interest Rate (%)
12.12.4
22.32.5
32.52.7
42.82.9
53.03.1
63.43.5
73.63.7
83.94.0
94.14.2
104.44.5
114.64.8
124.95.0

Assume these 12 monthly observations are an independent sample for this exercise. Test significance at α=0.05\alpha = 0.05α=0.05.

Requirements

  1. Calculate the sample correlation between inflation and interest rates.
  2. Fit a simple linear regression: interest rate on inflation.
  3. State and test the null hypothesis that the slope is zero.
  4. Compute the t-statistic and p-value for the slope.
  5. Interpret the slope in business terms.
  6. Explain whether the result supports the claim that higher inflation is associated with higher interest rates.

Assumptions

  • Linear relationship over the observed range
  • Independent observations for this interview exercise
  • Residual variance is approximately constant
  • This analysis measures association, not strict causality